Alumni: Please complete the above form to update your degree & employment information with the Department of Mathematical Sciences.

**MS Alumni**

**MS Degrees Awarded 2017**

### Spring 2017

**Alexandra Bell**

MS in Actuarial Science, May 2017

Advisor: Vytaras Brazauskas

**Catherine Bisher**

MS in Actuarial Science, May 2017

Advisor: Vytaras Brazauskas

**Hillary Chapman**

MS in Atmospheric Science, May 2017

Advisor: Clark Evans

Thesis: *Performance Test of the Pasquill Stability Classification Scheme*

**Caitlin Crossett**

MS in Atmospheric Science, May 2017

Advisor: Clark Evans

Thesis: *An Examination of the Dynamics of a Rear-Inflow Jet Associated with an Idealized Mesoscale Convective System*

**Russell Danielson**

MS in Atmospheric Science, May 2017

Advisor: Paul Roebber

Thesis: *Downstream Predictability of the Path and Survival of Severe Wind Producing MCS’s Using RVC Analysis Data*

**Aubree Freeman**

MS in Mathematics, May 2017

Advisor: Kevin McLeod

Thesis: *Assessing Student Comprehension of Learning to Solve Systems of Linear Equation with Practical Applications Through an In-Class Group Project*

**Constantin Greif**

MS in Mathematics, May 2017

Advisor: Bruce Wade

Thesis: *Numerical Methods for Hamilton-Jacobi-Bellman Equations*

**Daniel Gulbrandsen**

MS in Mathematics, May 2017

Advisor: Yi Ming Zou

Thesis: *Completed Exams*

**Ly Viet Hoang**

MS in Mathematics, May 2017

Advisor: Jay Beder

Thesis: *Infinite-Dimensional Traits: Estimation of Mean, Covariance, and Selection Gradient of Tribolium Castaneum Growth Curves*

**John Jurkiewicz**

MS in Mathematics, May 2017

Advisor: Yi Ming Zou

Thesis: *Completed Exams*

**Cornelia Krome**

MS in Mathematics, May 2017

Advisor: Richard Stockbridge

Thesis: *Black-Scholes Model: An Analysis of the Influence of Volatility*

**Vera Loeser**

MS in Mathematics, May 2017

Advisor: Peter Hinow

Thesis: *Modeling of Anticancer Drug Delivery by Temperature-Sensitive Liposomes*

**Ian Paszkiewicz**

MS in Mathematics, May 2017

Advisor: Yi Ming Zou

Thesis: *Completed Exams*

**Albert Rapp**

MS in Mathematics, May 2017

Advisor: Vince Larson

Thesis: *Goodness-of-fit Testing for Copula-based Models with Applications in Atmospheric Sciences*

**Thomas Roessler**

MS in Mathematics, May 2017

Advisor: Vince Larson

Thesis: *Adaptive Monte Carlo Sampling for Cloud and Microphysics Calculations*

**Alexa Schut**

MS in Mathematics, May 2017

Advisor: Kevin McLeod

Thesis: *A Study of the Effect of Using Simulations on Student; Learning of Iferentual Statistics in the Elementary Statistics Classes in the Mathematics Department of the University of Wisconsin-Milwaukee*

**Ines Siebigteroth**

MS in Mathematics, May 2017

Advisor: Chao Zhu

Thesis: *Optimal Trading Under the American Perpetual Put Option for Geometric Brownian Motion and Mean-Reverting Processes*

**Nii Boi Tetteh**

MS in Actuarial Science, May 2017

Advisor: Vytaras Brazauskas

**Rica Wedowski**

MS in Mathematics, May 2017

Advisor: Jay Beder

Thesis: *Associated Hypothesis in Linear Models with Unbalanced Data*

**Linjiao Wu**

MS in Mathematics, May 2017

Advisor: Yi Ming Zou

Thesis: *Completed Exams*

### Fall 2017

**Mengxi Lin**

MS in Statistics, December 2017

**MS Degrees Awarded 2016**

### Spring 2016

**Felix Akresi**

MS in Statistics, May 2016

Advisor: Jugal Ghorai

Thesis: *Gaussian Process Regression: A Random Projection Approximation Approach*

**Bryan Burlingame
**MS in Atmospheric Science, May 2016

Advisor: Clark Evans & Paul Roebber

Thesis:

*The Practical Predictability of Convection Initiation during the Mesocale Predictability Experiment (MPEX)*

**Miguelangel Diaz Medina
**MS in Mathematics Education, May 2016

Advisor: Daniel Gervini & Xuexia Wang

Thesis:

*Detecting Association of Gene-Environment Interactions in Common and Rare Variants for Hypertension*

**Caleb Grunzke
**MS in Atmospheric Science, May 2016

Advisor: Clark Evans

Thesis:

*Predictability & Dynamics of Warm-Core Mesovortex Formation with the May 8 2009 “Super Derecho” Event*

**Austin Harris
**MS in Atmospheric Science, May 2016

Advisor: Jonathan Kahl

Thesis:

*On Establishing Gust Factors and Assessing Their Ability to Forecast Wind Gusts in Milwaukee, Wisconsin*

**Alexandra Keclik
**MS in Atmospheric Science, May 2016

Advisor: Clark Evans

Thesis:

*The Influence of Targeted Observations upon Ensemble Forecasts of Convection Initiation*

**Nicolas Kuhaupt
**MS in Statistics, May 2016

Advisor: Jugal Ghorai

Thesis:

*Gaussian Process Regression for Large Data Sets*

**James Laate
**MS in Actuarial Science, May 2016

Advisor: Vytaras Brazauskas

Written Exam

**Immanuel Lampe
**MS in Mathematics, May 2016

Advisor: Daniel Gervini

Thesis:

*Distance Density Analysis and Multi Variale Mode Detection*

**Wilhermina Lugukwaga
**MS in Actuarial Science, May 2016

Advisor: Vytaras Brazauskas

Written Exam

**Eric Mueller
**MS in Probabilty & Stochastic Analysis, May 2016

Advisor: Chao Zhu

Thesis:

*Optimal Pairs Trading Rules*

**Gilbert Nat-Narh
**MS in Actuarial Science, May 2016

Advisor: Vytaras Brazauskas

Written Exam

**Hartmut Stenz
**MS in Mathematics, May 2016

Advisor: Daniel Gervini

Thesis:

*Longitudinal Data Models with Nonparametric Random Effect Distributions*

**Breanna Swan
**MS in Applied Mathematics, May 2016

Advisor: Istvan Lauko

Thesis:

*The Influence of Currents and Bathymetry on Phytoplankton Growth Dynamics in a Deep Lake: an Application of the Lattice Boltzmann Method*

**Timm Uhlmann
**MS in Atmospheric Science, May 2016

Advisor: Kyle Swanson

Thesis:

*Interdecadal Shifts in Intense Extratorpical Cyclones*

**Alexander Van Abel
**MS in Algebra, May 2016

Advisor: Chao Zhu

Written Exam

**Marcel Walther
**MS in Mathematics, May 2016

Advisor: Daniel Gervini

Thesis:

*Spline Estimation of Principal Curves*

### Summer 2016

**Kaitlyn N. Heinlein**

MS in Atmospheric Science, August 2016

Advisor: Paul Roebber

Thesis: *Analysis of the Run-to-Run Variability Within the Nam Forecasts for the Northeast U.S. Blizzard of 8-9 February 2013*

### Fall 2016

**Pan Shenyan**

MS in Mathematics, December 2016

Advisor: Yi Ming Zou

Oral/Written Exam

**MS Degrees Awarded 2015**

### Spring 2015

**Alison Becker**

MS in Algebra, May 2015

Advisor: Allen Bell

Thesis: *Results on n-absorbing Ideals of Commutative Rings*

**Daniel Gagba**

MS in Actuarial Science, May 2015

Written Exam

**Madlen Gebauer**

MS in Statistics, May 2015

Advisor: Jugal Ghorai

Thesis: *Semiparametric Estimation of the Survival Function in the Presence of Covariates*

**Juliana Karloski**

MS in Atmospheric Science, May 2015

Advisor: Clark Evans

Thesis: *Seasonal Influences Upon and Long-Term Trends in the Length of the Atlantic Hurricane Season*

**Samuel Nehls**

MS in Mathematics, May 2015

Written Exam

**Joel Ofei**

MS in Actuarial Science, May 2015

Written Exam

**Tyler Plamondon**

MS in Atmospheric Science, May 2015

Advisor: Sergey Kravtsov

Thesis: *A Mechanistic Model of Multidecadal Climate Variability*

**Markus Schuster**

MS in Probability, May 2015

Advisor: Dick Stockbridge

Thesis: *On the Riesz representation for optimal stopping problems*

**Carlos Soto**

MS in Statistics, May 2015

Advisor: Jay Beder

Thesis: *Associated Hypotheses in Linear Models for Unbalanced Data*

**Amanda Spink**

MS in Applied Mathematics, May 2015

Advisor: Gabriella Pinter

Thesis: *An Investigation into Vaccination Behavior: Parametrization of a Samoan Vaccine Scare** *

**Justin Weber**

MS in Atmospheric Science, May 2015

Advisor: Vince Larson

Thesis: *Using a Semiprognostic Test to Elucidate Key Model Errors of Warm Rain Processes Within a Unified Parameterization of Clouds and Turbulence*

### Summer 2015

**Banabithi Bose
**MS in Mathematics, August 2015

Advisor: Dexuan Xie

Thesis: A Study on Blood-Tissue Exchange Model and its Algorithm

**Thomas Ventimiglia**

MS in Mathematics, August 2015

Advisor: Hans Volkmer

Thesis: *Heun Polynomials in the Construction of Vector Valued Slepian Functions on a Spherical Cap
*

### Fall 2015

**Ryan D. Evans**

MS in Mathematics, December 2015

Advisor: Yi Ming Zou

Oral/Written Exam

**Mark Jacobs**

MS in Mathematics, Fall 2015

Advisor: Yi Ming Zou

Oral/Written Exam

**Nathaniel B. White**

MS in Mathematics, Fall 2015

Advisor: Gabriella Pinter

Thesis: *Making Mathematics Memorable, Meaningful and Fun: Activites to Enhance Precalculus*

**MS Degrees Awarded 2014**

### Spring 2014

**Jeffrey H. Allen
**MS in Mathematics, May 2014

Advisor: Bruce Wade

Thesis:

*Incorporating Krylov Subspace Methods in the ETDRK4 Scheme*

**Adam J. Buck**

MS in Analysis, May 2014

Advisor: Yi Ming Zou

Oral/Written Exam

**Anja K. Denner
**MS in Mathematics, May 2014

Advisor: Bruce Wade

Thesis:

*Experiments on temporal variable step BDI2 algorithms*

**Heidi A. Ertl
**MS in Mathematics, May 2014

Advisor: Kevin McLeod

Thesis:

*An Analysis and Comparison of the Common Core State Standards for Mathematics and the Singapore Mathematics Curriculum Framework*

**Evelyn S. Gaus
**MS in Actuarial Science, May 2014

Advisor: Wei Wei

Thesis:

*Optimal reinsurance strategy with bivariate paielo risks*

**Kelvin R. Guilbault**

MS in Algebra & Analysis, May 2014

Advisor: Yi Ming Zou

Oral/Written Exam

**Hua Huang
**MS in Actuarial Science, May 2014

Advisor: Vytaras Brazauskas

Integrative Course

**Marcel Kreuter
**MS in Mathematics, May 2014

Advisor: Kevin McLeod

Thesis:

*The Pekeris Method for Lithium: Possibilities and Obstructions*

**Alexander Nerlich
**MS in Mathematics, May 2014

Advisor: Erik Key

Thesis:

*A limit theorem for the…*

**Cindy L. Nichols**

MS in Mathematics, June 2014

Advisor: Richard Stockbridge

Thesis: *Option Pricing for a General Stock Model in Discrete Time*

**Brian W. Pietsch**

MS in Algebra & Analysis, May 2014

Advisor: Yi Ming Zou

Oral/Written Exam

**Thomas G. Stojsavljevic Jr.
**MS in Mathematics, May 2014

Advisor: Gabriella Pinter

Thesis:

*Mathematical Modeling of Competition for Light and Nutrients Between Phytoplankton Species in a Poorly Mixed Water Column*

**Rachel Elizabeth TeWinkel
**MS in Analysis, May 2014

Advisor: Istvan Lauko

Thesis

Written Exam

**Joshua D. Verbeten
**MS in Atmospheric Science, May 2014

Advisor: Kyle Swanson

Thesis:

*Northern Hemisphere Sea Level Pressure Synchronization and its Effects on Northern Hemisphere Temperature Variability*

**Nathan P. Wojahn
**MS in Mathematics, May 2014

Advisor: Bruce Wade

Comprehensive Project:

*A Second Order Exponential Time Differencing Crank-Nicolson Method, Applied to the Nonlinear Schrödinger Equation*

**Quiyi Wu
**MS in Actuarial Science, May 2014

Advisor: Vytaras Brazauskas

Integrative Course

### Summer 2014

**Michael D. Madsen
**MS in Atmospheric Science, August 2014

Advisor: Anastasios Tsonis

Thesis

**Alexander Manion
**MS in Atmospheric Science, August 2014

Advisor: Clark Evans

Thesis

### Fall 2014

**Edward D. Steltenpohl**

MS in Mathematics, Fall 2014

Advisor: Kevin McCleod

Thesis: *Analyzing State Attempts at Implementing the Common Core State Standards for High School Geometry: Case Studies of Utah & New York*

**MS Degrees Awarded 2013**

### Spring 2013

**Joseph Barrera
**MS in Algebra & Analysis, May 2013

Advisor: Yi Ming Zou

Written Exam

**Torben Bielert
**MS in Mathematics, May 2013

Advisor: Chao Zhu

Thesis:

*Risk-based Indifference Pricing in Jump Diffusion Markets with Regime-Switching*

**Brock Burghardt
**MS in Atmospheric Science, May 2013

Advisors: Paul Roebber & Clark Evans

Thesis:

*Assessing the Predictability of Convection Initiations Using an Object-Based Approach*

**Raymond Dempsey
**MS in Mathematics, May 2013

Advisor: Kevin McLeod

Thesis:

*Determining the Alignment of Math 105 – Intermediate Algebra at UW-Milwaukee to the Goals of the Common Core State Standards*

**Matthew Kasper
**MS in Algebra & Analysis, May 2013

Advisor: Yi Ming Zou

Written Exam

**Annika Laser**

MS in Mathematics, May 2013

Advisors: Gabriella Pinter & Istvan Lauko

Thesis: *Statistical Investigation of the Immune Response in Non-human Primate Models*

**Matthew Madsen
**MS in Algebra & Analysis, May 2013

Advisor: Yi Ming Zou

Written Exam

**Hayley Nathan
**MS in Mathematics, May 2013

Advisor: Kevin McLeod

Thesis:

*An Analysis of the Common Core State Standards for Mathematics and the Content of Math 095: Essentials of Algebra at the University of Wisconsin-Milwauke*e

**Simon Wagner
**MS in Mathematics, May 2013

Advisor: Suzanne Boyd

Thesis:

*Behavior of Random Dynamical Systems of a Complex Variable*

**Markus Wahl
**MS in Mathematics, May 2013

Advisor: Richard Stockbridge

Thesis:

*Markov Chain Monte Carlo Simulation of the Wright-Fischer Diffusion*

### Summer 2013

**Charles Beer
**MS in Algebra & Analysis, August 2013

Advisor: Yi Ming Zou

Written Exam

**Thomas Goeppinger
**MS in Mathematics, August 2013

Advisor: Bruce Wade

Comprehensive Project:

*Mathematical modeling of physiological characteristics in female soccer athletes*

**Margaret McComack
**MS in Mathematics, August 2013

Advisor: Jay Beder

Thesis:

*Constructing orthodonal arrays of non-abelian groups*

### Winter 2013

**Nyles Kirk Breecher
**MS in Algebra and Analysis, December 2013

Advisor: Yi Ming Zou

Written Exam

**Franklin Fotsing Kongne
**MS in Actuarial Science, December 2013

Advisor: Vytaras Brazauskas

Written Exam

**Monchai Kooakachai
**MS in Algebra & Analysis, December 2013

Advisor: Yi Ming Zou

Written Exam

**Joseph R. Pehoski
**MS in Atmospheric Science, December 2013

Advisor: Kyle Swanson

Thesis:

*A Crowdsourced Hail Dataset: Potential, Biases, and Inaccuracies*

**Amanda Wilkens
**MS in Mathematics, December 2013

Advisor: Fredric Ancel

Comprehensive Project:

*Growth Series of Generalized Lamplighter Groups*

**MS Degrees Awarded 2012**

### Spring 2012

**Brian Barkley**

MS in Algebra & Analysis, May 2012

Advisor: Craig Guilbault

Written Exam

**Andrew Bolanowski**

MS in Algebra & Analysis, May 2012

Advisor: Craig Guilbault

Written Exam

**Benjamin Dekker**

MS in Algebra & Analysis, May 2012

Advisor: Craig Guilbault

Written Exam

**Jeremy Duggan**

MS in Atmospheric Science, May 2012

Advisor: Kyle Swanson

Thesis: *Tropical Cyclone Intensity Forecast Skill Using Simple Models*

**Sandro Klein**

MS in Mathematics, May 2012

Advisor: Runhuan Feng

Thesis: *Determination of the Loss Distribution for Variable Annuity Guarantee Benefits Using Partial Differential Equations*

**Marc Pilon**

MS in Atmospheric Science, May 2012

Advisor: Vincent Larson

Thesis: *Analyzing Quality and Sensitivity of a Single-Column Model for Mid-Level “Alto” Cloud Parameterization*

**Lauren Sample**

MS in Mathematics, May 2012

Advisor: Gabriella Pinter

Thesis: *Early Medieval Islamic Mathematics*

**Annastasia Swartz**

MS in Mathematics, May 2012

Advisor: Albert Milani

Thesis: *Mathematics as a Language*

**Justin Trulen**

MS In Mathematics, May 2012

Advisor: Peter Hinow

Thesis: *Preventing the Spread of the Dengue Virus by Controlling the Vector Aedes Aegypti*

**Zachary Uttech**

MS in Atmospheric Science, May 2012

Advisor: Kyle Swanson

Thesis: *Large-Sale Forecast Error Development Associated with Recurving Tropical Cyclones*

**Zaihao Wang**

MS in Mathematics, May 2012

Advisor: Eric Key

Thesis: *Simulations of Brownian Motion for Exotic Options Pricing*

**Christopher Wyniawskij**

MS in Mathematics, May 2012

Advisor: Gabriella Pinter

Thesis: *Factors that Influence the Likelihood of a Successful Stress Management Intervention for Women with Breast Cancer*

**Daniel Yee**

MS in Algebra & Analysis, May 2012

Advisor: Craig Guilbault

Written Exam

**Fenglong You**

MS in Analysis, May 2012

Advisor: Craig Guilbault

Written Exam

### Summer 2012

**Matthew Hoeppner**

MS in Algebra & Analysis, August 2012

Advisor: Craig Guilbault

Written Exam

**Jacob Richard Pichelmeyer
**MS in Algebra & Analysis, August 2012

Advisor: Craig Guilbault

Written Exam

**John Peters**

MS in Atmospheric Science, August 2012

Advisor: Paul Roebber

Thesis: *Synopic Control of Heavy-Rain-Producing Convective Training Episodes*

**Steffen Schreiber**

MS in Mathematics, August 2012

Advisor: Richard Stockbridge

Thesis: *Methods of Pricing Knock-Out Corridor Options*

**Ronald Schwaertzler**

MS in Mathematics, August 2012

Advisor: Runhuan Feng

Thesis: *The Method of Control Variates Applied to the Estimation of Value-at-Risk for Variable Annuities*

### Winter 2012

**Joel Alsum
**MS in Mathematics, December 2012

Advisor: Istvan Lauko

Comprehensive Project:

*Constructing Kalmau-Filter Algorithms to Estimate Spacial Tilt Orientation in Automated Guided Vehicles Using Gyroscopes and Accelerometers*

**Lindsey Mathewson**

MS in Mathematics, December 2012

Advisor: Jeb Willenbring

Thesis: *The Class Equation of GL _{2}(F_{q})*

**Joseph Tidmore
**MS in Algebra & Analysis, December 2012

Advisor: Yi Ming Zou

Written Exam

**Michael Wagner
**MS in Mathematics, December 2012

Advisor: Richard Stockbridge

Thesis:

*Pricing American Lookback Options Using Linear Programming*

**MS Degrees Awarded 2011**

### Spring 2011

**Devangkumar Bhatt
**MS in Mathematics, May 2011

Advisor: Richard Stockbridge

Thesis:

*Pricing of Electricity Swing Options*

**Jacqueline Bluhm
**MS in Mathematics, May 2011

Advisors: Richard Stockbridge and Chao Zhu

Thesis:

*Optimal Multiple Stopping of Stochastic Processes: A Linear Programming Approach*

**Andrew Hancock
**MS in Mathematics, May 2011

Advisor: Suzanne Boyd

Project:

*Bootstrapping to Determine Causal Relationships in Baysian Network Models*

**Kyle Miller**

MS in Mathematics, May 2011

Advisor: Kyle Swanson

Thesis: *The Role of Null Wind Events and Wind Distribution in the Designing of Smart Wind Networks*

**Michelle Nordrum
**MS in Mathematics, May 2011

Advisor: Gabriella Pinter

Thesis:

*Mathematical Modeling for the Spread of the Tree Disturbance Oak Wilt*

**Brad Schleben**

MS in Mathematics, May 2011

Advisor: Craig Guilbault

Written Exam

**Kevin Schreve
**MS in Mathematics, May 2011

Advisor: Craig Guilbault

Written Exam

**Inessa Sedegho**

MS in Mathematics, May 2011

Advisor: Jay Beder

Thesis: *Side Conditions in an a x b x c Experiment: An Extension of Scheffe’s Theorem*

**Melanie Serbine**

MS in Mathematics, May 2011

Advisors: Runhuan Feng and Richard Stockbridge

Thesis: *Risk Measures for Investment Guarantees: Simulation Versus Exact Calculation*

**Koren Staat**

MS in Mathematics, May 2011

Advisors: Albert Milani and Gabriella Pinter

Thesis: *Leonardo da Vinci’s Mathematical Investigations*

**Jan Wirfs**

MS in Mathematics, May 2011

Advisor: Richard Stockbridge

Thesis: *A Linear Programming Approach to Pricing and Finding the Exercise Rule for American Put Options*

### Summer 2011

**Eli Annis**

MS in Mathematics, August 2011

Advisor: Craig Guilbault

Written Exam

**Tyler Baur**

MS in Mathematics, August 2011

Advisor: Craig Guilbault

Written Exam

**Jesse Feller
**MS in Mathematics, August 2011

Advisor: Suzanne Boyd

Project:

*Counting Augmented Acyclic Diagraphs*

**Brian Griffin**

MS in Atmospheric Science, August 2011

Advisor: Vincent Larson

Thesis: *A PDF Based Method for Parameterizing the Effects of Microphysics on Subgrid-Scale Variances and Covariances*

**Wayne Johnson**

MS in Mathematics, August 2011

Advisor: Craig Guilbault

Written Exam

**Landon Kavlie**

MS in Mathematics, August 2011

Advisor: Craig Guilbault

Written Exam

**Raymond Mess**

MS in Mathematics, August 2011

Advisors: Gabriella Pinter, Istvan Lauko, and Jugal Ghorai

Project: *An Investigation into the Secondary Triggers of Combined Sewer Overflows*

**Jacob Reynolds**

MS in Mathematics, August 2011

Advisor: Lijing Sun

Thesis: *Mixed Norm Estimates on Modulation Spaces for Certain Fourier Multipliers*

**Timothy Ryan**

MS in Mathematics, August 2011

Advisor: Craig Guilbault

Written Exam

### Winter 2011

**Sami Cheong**

MS in Mathematics, December 2011

Advisors: Jugal Ghorai, Istvan Lauko, and Gabriella Pinter

Thesis: *A Study of the Mathematical Model of Protein Synthesis Initiation*

**Anthony Varey
**MS in Mathematics, December 2011

Advisors: Jeb Willenbring, Jay Beder, and Bruce Wade

Project:

*Catalan Numbers: New and Old*

**MS Degrees Awarded 2010**

### Spring 2010

**Benjamin Dreissen**

MS in Mathematics, May 2010

Advisor: Jugal Ghorai

Thesis: *Convergence Results of a Hybrid Genetic Algorithm for Solving Multi-extremal Global Option Problems*

**Julia Eisenmann**

MS in Mathematics, May 2010

Advisor: Richard Stockbridge

Thesis: *Pricing Methods of Corridor Options*

**James Gollin**

MS in Mathematics, May 2010

Advisor: Craig Guilbault

Written Exam

**Manuel Groeger**

MS in Mathematics, May 2010

Advisor: Richard Stockbridge

Thesis: *Option Pricing for the Trinomial Asset Pricing Model*

**Kamilla Kasymova**

MS in Actuarial Science, May 2010

Advisor: Vytaras Brazauskas

Thesis: *Applications of Copulas in Portfolio Risk Management*

**Jianing Li**

MS in Mathematics, May 2010

Advisor: Craig Guilbault

Written Exam

**Lars Ludwig**

MS in Mathematics, May 2010

Advisor: Craig Guilbault

Written Exam

**Jessica Lynde**

MS in Mathematics, May 2010

Advisor: Jugal Ghorai

Thesis: *Large Deviation Probability for L _{1}-norm of Kernel Density Estimator*

**Kristen Oines**

MS in Mathematics, May 2010

Advisor: Jay Beder

Thesis:* A Repeated-ANOVA Method for Analyzing Single-Replicate Factorial Experiments*

**Sarah Reinke**

MS in Atmospheric Science, May 2010

Advisor: Paul Roebber

Thesis: *Predictability of Regionalized Wind Power Forecasts*

**Michael Schulz**

MS in Mathematics, May 2010

Advisor: Craig Guilbault

Written Exam

**Viktoriya Shcherban**

MS in Mathematics, May 2010

Advisor: Gabriella Pinter

Thesis: *Mathematical Modeling of Seashells : Shapes and Patterns*

**Hanspeter Steiner**

MS in Mathematics, May 2010

Advisors: Richard Stockbridge and Chao Zhu

Thesis: *Modeling the Population of Wolves over Time*

**James Switzer**

MS in Actuarial Science, May 2010

Advisor: Vytaras Brazauskas

Thesis: *Statistical Analysis of the Society of Actuaries Preliminary Examination Model*

**Franziska Thieme**

MS in Mathematics, May 2010

Advisor: Runhuan Feng

Thesis: *Pricing of Equity-Indexed Annuities in A Regime-Switching Model*

**Diana (Thomson) La Corte**

MS in Mathematics, May 2010

Advisor: Craig Guilbault

Written Exam

### Summer 2010

**Amber Gathje**

MS in Mathematics, August 2010

Advisor: Istvan Lauko

Thesis: *A Single-Cell Model for the Chemotaxis Pathway in Pseudomonas Aeruginosa*

**Scott Lindner**

MS in Mathematics, August 2010

Advisor: Kevin McLeod

Project: *A Literature Review of the van Hiele Model of Reasoning in Geometry*

**Roxanne Norris**

MS in Mathematics, August 2010

Advisor: Hans Volkmer

Thesis: *Zeros of Heine-Stieltjes Polynomials Calculated Using Newton’s Method*

**Anne Oppman**

MS in Mathematics, August 2010

Advisor: Fredric Ancel

Thesis: *Classification of Convex n-Dimensional Regular Polytopes, Euclidean Honeycombs and Hyperbolic Honeycombs*

**Xin Xie**

MS in Mathematics, August 2010

Advisor: Runhuan Feng

Thesis: *A Survey of Credit Risk Models*

**Lin Zhou**

MS in Mathematics, August 2010

Advisor: Chao Zhu

Thesis: *Stochastic Optimal Control for Dynamic Reinsurance Policies*

### Winter 2010

**Doug Dalman**

MS in Mathematics, December 2010

Advisor: Yi Ming Zou

Thesis: *Quatertonic Determinant and Some Applications*

**Joseph Fillingham**

MS in Atmospheric Science, December 2010

Advisor: Paul Roebber

Thesis: *Evaluation of the Influence of Surface Atmospheric Stability and Fetch on Wave and Air-Water Gas Exchange Modeling on Lake Michigan*

**Molly Moran**

MS in Mathematics, December 2010

Advisor: Craig Guilbault

Written Exam

**MS Degrees Awarded 2009**

### Spring 2009

**Tavis Abrahamsen**

MS in Mathematics, May 2009

Advisor: D. Gervini

Thesis: *The Least Absolute Deviation Estimator for Functional Linear Regression*

**Dominik Brugger**

MS in Mathematics, May 2009

Advisor: C. Cheng, CEAS

Thesis: *On the Paranoid Watchman Problem*

**Laura Carnahan**

MS in Atmospheric Science, May 2009

Advisor: Jonathan Kahl

Thesis: *Statistical Significance Testing for Trajectory Grouping Techniques*

**Jason Gaddis**

MS in Mathematics, May 2009

Advisor: Craig Guilbault

Written Exam

**Patrick Heinrich**

Ms in Mathematics, May 2009

Advisor: R. Stockbridge

Thesis: *Modeling Lumber Spot Prices with Stochastic Processes*

**Christian Rolser**

MS in Mathematics, May 2009

Advisor: C. Zhu

Thesis: *Optimal Dynamic Reinsurance in a Changing Environment*

**Michael Sauler**

MS in Actuarial Science, May 2009

Advisor: Vytaras Brazauskas

Thesis: *Option Pricing: Black-Scholes Versus Weibull*

### Summer 2009

**George Birthisel**

MS in Mathematics, August, 2009

Advisor: David Schultz

Thesis: *High-Order Methods for Two-Point Boundary Value Problems*

**William Borghoff**

MS in Atmospheric Science, August 2009

Advisor: Paul Roebber

Thesis: *Does Convection South of a Zone Reduce Cyclone Snowfall Production?*

**Elizabeth Brown**

MS in Mathematics, August 2009

Advisor: Jay Beder

Thesis: *Estimating the selection gradient of a function-valued trait*

**Michael Kurz**

MS in Atmospheric Science, June 2009

Advisor: Paul Roebber

Thesis:* The Effects of Short-Term Solar Variability on Winter Climate in the Northern Hemisphere*

**Yuhui Sheng**

MS in Mathematics, June 2009

Advisor: Runhuan Feng

Thesis: *First Hitting Time Distributions of Stochastic Annuities in a Complete Market*

**Mary Jane Whiting**

MS in Mathematics, August 2009

Advisor: Craig Guilbault

Written Exam

**Lauren Williams**

MS in Mathematics, August 2009

Advisor: Craig Guilbault

Written Exam

### Winter 2009

**Kakali Das**

MS in Mathematics, December 2009

Advisor: Hans Volkmer

Thesis: *Approximations of the Factorial and Gamma Functions*

**Thishan Dharshana**

MS in Atmospheric Science, December 2009

Advisor: Jonathan Kahl

Thesis:

**Jennifer Knapkiewicz
**MS in Mathematics, December 2009

Advisor: Kyle Swanson

Thesis:

*The effectiveness of using shear and infrared imagery to diagnose rapidly intensifying typhoons in the western Pacific Basin*

**Nicholas Schwartz
**MS in Atmospheric Science, December 2009

Advisor: Sergey Kravtsov

Thesis:

*Regimes of Atmospheric Circulation*

**MS Degrees Awarded 2008**

### Spring 2008

**Bradley Fehnel**

MS in Mathematics, May 2008

Advisor: Craig Guilbault

Written Exam

**Philipp Frey**

MS in Actuarial Science, May 2008

Advisor: Vytaras Brazauskas

Thesis: *Estimation and Fitting of Skew-Normal Distributions*

**Daniel Greene**

MS in Mathematics, May 2008

Advisor: Suzanne Hruska

Thesis: *Computing Preimages of Loops and Paths under Quadratic Polynomial Maps of C*

**Franziska Haeussler**

MS in Mathematics, May 2008

Advisor: Richard Stockbridge

Thesis: *Modeling Electricity Spot Prices and Risk-Neutral Pricing of Options*

**Pamela Harris**

MS in Mathematics, May 2008

Advisor: Craig Guilbault

Written Exam

**Katrin Jensen**

MS in Mathematics, May 2008

Advisor: Richard Stockbridge

Thesis: *A Linear Programming Approach to Determine the Exercise Rule for American Put Options*

**Anne Klein**

MS in Mathematics, May 2008

Advisor: Eric S. Key

Thesis: *The Limit Distribution of the Quadratic Arch Process*

**Curt Leister**

MS in Mathematics, May 2008

Advisor: Daniel Gervini

Thesis: *An Affine Invariant Multivariate Rank Test*

**Andrew Meyer**

MS in Matehmatics, May 2008

Advisor: Craig Guilbault

Written Exam

**Simone Rieger**

MS in Mathematics, May 2008

Advisor: Eric S. Key

Thesis: *Controlling a Multitype Birth and Death Process*

**Eva Schumacher**

MS in Mathematics, May 2008

Advisor: Eric S. Key

Thesis: *A Comparison of Different Methods of Simulating Bivariate Copula Data*

**Melissa Schumann**

MS in Atmospheric Science, May 2008

Advisor: Paul Roebber

Thesis: *An Observational Analysis of the Influence of Synoptic Forcing on Convective Morphology*

**Theresa Springer**

MS in Mathematics, May 2008

Advisor: Bruce Wade

Thesis: *Development of a Second Order Exponential Time Differencing Scheme*

**Eric Van Den Bosch**

MS in Actuarial Science, May 2008

Advisor: Vytaras Brazauskas

Thesis: *Modeling and Predicting the Yield Curve’s Risk Premium*

**Michael Vietz**

MS in Mathematics, May 2008

Advisor: Jay Beder

Thesis: *Modeling of Hedge Fund Returns and Calculation of Performance Measures via Simulation*

### Summer 2008

**Ridha Moussa**

MS in Mathematics, August 2008

Advisor: Dexuan Xie

Thesis: *Theoretical and Numerical Studies of Finite Difference Methods for Parabolic Equations*

**Kathryn Smith**

MS in Atmospheric Science, August 2008

Advisor: Paul Roebber

Thesis: *The Effects of Urbanization on the Local Weather and Climate of Chicago, IL*

**Mark Whidden**

MS in Mathematics, August 2008

Advisor: Dexuan Xie

Thesis: *An Improved Radau IIA Method by Inexact Simplified Newton Iterations for Solving Stiff Differential Equations*

### Winter 2008

**Jill Bolanowski (Meyers)**

MS in Mathematics, December 2008

Advisor: Gabriella Pinter

Thesis: *Exploring Divisibility Rules, Base 10 and Beyond*

**Janel Hanrahan
**MS in Atmospheric Science, December 2008

Advisor: Paul Roebber

Thesis:

*Quasi-periodic decadal cycles in levels of Lakes Michigan and Huron*

**Seemi Javed
**MS in Mathematics, December 2008

Advisor: Hans Volkmer

Thesis:

*Bases of Dilated Functions*

**Franco Mendolia
**MS in Matehmatics, December 2008

Advisor: Daniel Gervini

Thesis:

*A Statistic for Diagnostic in Functional Linear Regression*

**MS Degrees Awarded 2007**

### Spring 2007

**Loribeth Alvin**

MS in Mathematics, May 2007

Advisor: Craig Guilbault

Written Exam

**Tim Breitenstein**

MS in Mathematics, May 2007

Advisor: Craig Guilbault

Written Exam

**Andrew Gould**

MS in Mathematics, May 2007

Advisor: Craig Guilbault

Written Exam

**Nathan Jamison**

MS in Mathematics, May 2007

Advisor: Craig Guilbault

Written Exam

**Britta Janssen**

MS in Mathematics, May 2007

Advisor: Bruce Wade

Thesis: *Linearly-Implicit Methods Applied to a Chemotaxis Model*

**Eron Jones**

MS in Mathematics, May 2007

Advisors: Anastasios Tsonis and Kyle Swanson

Thesis: *On the Topology of El Nino and La Nina Climate Networks*

**Thomas Jungbauer**

MS in Actuarial Science, May 2007

Advisor: Vytaras Brazauskas

Thesis: *Burr Regression: A Sensitivity Study of Maximum Likelihood Fits*

**Aaron Katch**

MS in Mathematics, May 2007

Advisor: Hans Volkmer

Thesis: *Ramanujan’s Sequence*

**Andreas Kleefeld**

MS in Mathematics, May 2007

Advisor: Tzu-Chu Lin

Thesis: *Numerical Results of Linear Fredholm Integral Equations of the First Kind over Surfaces*

**Wolfgang Knoke**

MS in Mathematics, May 2007

Advisor: Eric S. Key

Thesis: *Estimation of Parameters in the Quadratic ARCH Model*

**Ansgar Linder**

MS in Mathematics, May 2007

Advisor: Richard Stockbridge

Thesis: *Optimal Consumption/Investment Strategies in the Presence of Transaction Costs*

**Daniel Lutter
**MS in Mathematics, May 2007

Advisor: Jay Beder

Thesis:

*Generalized Word Length Patterns of Fractional Factorial Designs*

**Matthias Lutz**

MS in Mathematics, May 2007

Advisor: Richard Stockbridge

Thesis: *A Linear Programming Approach for Optimal Exercise and Valuation of American Lookback Options*

**Robin Ruehlicke**

MS in Mathematics, May 2007

Advisor: Daniel Gervini

Thesis: *Logistic Discrimination with Total Variation Regularization*

**Gernot Schreier**

MS in Mathematics, May 2007

Advisor: Eric S. Key

Thesis: *A Comparison of Accelerated Life Testing Models*

**Benjamin Seifert**

MS in Actuarial Science, May 2007

Advisor: Vytaras Brazauskas

Thesis: *The Effect of Misspecified Marginals on the Dependence Strength in a Copula Model*

**Jun Wang**

MS in Mathematics, May 2007

Advisor: Dexuan Xie

Thesis: *ATN-TAO: A New TAO Unconstrained Minimization Solver and Its Application in Chemical Database Problems*

### Summer 2007

**America Masaros**

MS in Mathematics, August 2007

Advisor: Craig Guilbault

Written Exam

### Winter 2007

**Adam Smith
**MS in Atmospheric Science, December 2007

Advisor: Vince Larson

Thesis:

*Using large-eddy simulations to analyze microphysical behavior in midlevel, mixed phase clouds*

**Chris Spannagle**

MS in Atmospheric Science, December 2007

Advisor: Sergey Kravstov

Thesis:* Multi-decadal climate variability in observed and modeled surface temperatures*

**MS Degrees Awarded 2006**

### Spring 2006

**Benjamin Burr**

MS in Mathematics, May 2006

Advisor: Jugal Ghorai

Thesis: *Optimum Simple Step-Stress ALT with Censoring under Weibull Distributed Lifetimes*

**Megan Carter**

MS in Atmospheric Science, May 2006

Advisor: Jonathan Kahl

Thesis: *Atmospheric Transport Climatology of Snow Days in Greenland*

**Dennis Haerer**

MS in Mathematics, May 2006

Advisor: Dexuan Xie

Thesis: *Numerical Study of Inexact Preconditioner with a Multigrid Method*

**Wei Jiang**

MS in Mathematics, May 2006

Advisor: Craig Guilbault

Written Exam

**Peter Kaczmarek**

MS in Mathematics, May 2006

Advisor: Bruce Wade and Richard Stockbridge

Thesis: *Numerical Analysis of a Long-term Average Stochastic Control Process*

**Kathrin Kopp**

MS in Mathematics, May 2006

Advisor: Bruce Wade

Thesis: *Higher Order Computational Methods for Asian Options*

**Kurt Edward Kotenberg**

MS in Atmospheric Science, May 2006

Advisor: Vincent E. Larson

Thesis: *An Analytic Longwave Radiation Formula for Liquid Layer Clouds*

**Sarah Levinson**

MS in Mathematics, May 2006

Advisor: Kyle Swanson

Thesis: *A Simulation of Frontal Interactions with Land/Ocean Boundaries *

**Haiqing Li**

MS in Mathematics, May 2006

Advisor: Jugal Ghorai

Thesis: *Equal-Area Partition: A Practical Approach to Construct Approximate Optimal Invalidation Report for Distributed Communication*

**Philipp Orth**

MS in Mathematics, May 2006

Advisor: Richard Stockbridge

Thesis: *Regime Switching Black-Scholes Model Selection with Implications to Option Pricing*

**Nathan Sabin**

MS in Mathematics, May 2006

Advisor: Craig Guilbault

Written Exam

**Luke Sampe**

MS in Atmospheric Science, May 2006

Advisor: Paul Roebber

Thesis: *An Improved Method to Diagnose Precipitation Phase Transitions*

**Vishak Subramoney**

MS in Mathematics, May 2006

Advisor: Daniel Gervini

Thesis: *Least Squares Estimation for State Space Models*

### Summer 2006

**Leah Rineck**

MS in Mathematics, August 2006

Advisor: Craig Guilbault

Written Exam

**Andrew Shulman**

MS in Mathematics, August 2006

Advisor: Jeb Willenbring

Thesis: *A New Generalization of the Frobenius Problem with an Application to Representation Theory*

**Philipp Auer**

MS in Mathematics, December 2006

Advisor: Daniel Gervini

Thesis: *Bayesian Selection of Significant Principal Components*

### Winter 2006

**Sava Dashev**

MS in Mathematics, December 2006

Advisor: Istvan Lauko

Thesis: *Numerical Simulations of Embryo Transfer*

**Sung Soon Kim**

MS in Mathematics, December 2006

Advisor: Dexuan Xie

Thesis: *Finite Element Method for Solving PDE Model Problems with Software Packages Dolfin and Matlab*

**Holger Huertgen**

MS in Mathematics, December 2006

Advisor: Daniel Gervini

Thesis: *Semi-parametric shape-invariant estimation for periodic time series*

**MS Degrees Awarded 2005**

### Spring 2005

**Cory Behnke**

MS in Atmospheric Science, Spring 2005

Advisor: Paul Roebber

Thesis: *Synoptic and Local Controls of the Lake Michigan Pneumonia Front*

**J. Kevin Bower**

MS in Mathematics, Spring 2005

Advisor: Dexuan Xie

Thesis: *The Gauss-Newton Least-Squares Iterative Method for Data Reduction*

**Sara Bruening**

MS in Atmospheric Science, Spring 2005

Advisor: Paul Roebber

Thesis: *Assessment of Future Convection in the Contiguous United States*

**Achim Glaser**

MS in Mathematics, Spring 2005

Advisor: Richard Stockbridge

Thesis: *The Regime Switching Black Scholes Model and the Empirical Test*

**Achim Glaser**

MS in Mathematics, Spring 2005

Advisor: Richard Stockbridge

Thesis: *The Regime Switching Black Scholes Model and the Empirical Test*

**Justin Jacobs**

MS in Actuarial Science, Spring 2005

Advisor: Vytaras Brazauskas

Thesis: *Exponential Distribution: Diagnostics, Goodness-of-Fit, Prediction*

**Kazumi Nakada**

MS in Mathematics, Spring 2005

Advisor: Craig Guilbault

Written Exam

**Robert Reeb**

MS in Mathematics, Spring 2005

Advisor: Richard Stockbridge

Thesis: *Finding Moments of Measures by Linear Programming*

**Martin Schneider**

MS in Mathematics, Spring 2005

Advisor: Ziyu Zheng

Thesis: *American Options in the Binomial Model*

**Florian Marc Sebert**

MS in Mathematics, Spring 2005

Advisor: Y. M Zou

Thesis: *Invariant Functions of Frieze Groups and Pattern Generation*

**Marek Bogumil Trawicki**

MS in Mathematics, Spring 2005

Advisor: T. C. Lin

Thesis: *The Computational Solution to the Radiosity Equation*

**Bernhard Von Boyen**

MS in Mathematics, Spring 2005

Advisor: Daniel Gervini

Thesis: *Monotone Regression with Splines using Non-Quadratic Penalties*

**Christian Wagner**

MS in Mathematics, Spring 2005

Advisor: Kevin McLeod

Thesis: *Calculation of the Hughes-Eckart Shift*

**Xiaojian Xu**

MS in Mathematics, Spring 2005

Advisor: Jugal Ghorai

Thesis: *Shrinkage Reduction by Design of Experiment*

**Katharina Zaglauer**

MS in Mathematics, Spring 2005

Advisor: Jugal Ghorai

Thesis: *Power of Cramer-von Mises and related statistics for testing goodness of fit*

**Leonie Zettler**

MS in Atmospheric Science, Spring 2005

Advisor: Eric Key

Thesis: *Quadratic ARCH Process*

### Fall 2005

**Roman Anklewicz**

MS in Mathematics, Fall 2005

Advisor: James Arnold

Thesis: *Experimental Simple Heuristics for the Symmetric Traveling Salesman Problem*

**Paul Fonstad**

MS in Mathematics, Fall 2005

Advisor: Craig Guilbault

Written Exam

**Lisa Danielle Hugdahl**

MS in Mathematics, Fall 2005

Advisor: David Schultz

Thesis: *Development of a Stable Numerical Method for the Two Dimensional Navier-Stokes Equations*

**Rene Kuelheim**

MS in Mathematics, Fall 2005

Advisor: Craig Guilbault

Written Exam

**Charles Lauters**

MS in Mathematics, Fall 2005

Advisor: Jugal Ghorai

Thesis: *The Utilization of Matlab for the Statistical Analysis of Microarray Data*

**Ponmalar Ratnam**

MS in Mathematics, Fall 2015

Advisor: Daniel Gervini

Thesis: *Covariance Function Estimation by Ridge Tensor Product Splines*

**Bertrand Tirel**

MS in Mathematics, Fall 2005

Advisor: Craig Guilbault

Written Exam

**MS Degrees Awarded 2004**

**Vu Cao**

MS in Mathematics, 2004

Advisor: James Arnold

Thesis: *The Development of Algebra through the Lens of Al-Khwarizmi*

**Justin Cruz**

MS in Mathematics, 2004

Advisor: Craig Guilbault

Written Exam

**Robert Deininger**

MS in Mathematics, 2004

Advisor: Bruce Wade

Thesis: *On the Performance of Positively Smoothed Pade Schemes for Barrier Options*

**Harald Dornheim**

MS in Actuarial Science, 2004

Advisor: Vytaras Brazauskas

Thesis: *M-Estimators of Scale in the Robust Credibility Model when Claims are Gamma-Distributed*

**Jacob Gundrum**

MS in Mathematics, 2004

Advisor: Jugal Ghorai

Thesis: *The Modeling and Predicting Consumer Purchases with NNMD and NCNMD: A Simulation Study*

**Thomas Kaiser**

MS in Actuarial Science, 2004

Advisor: Vytaras Brazauskas

Thesis: *Performance of Interval Estimators of Certain Actuarial Risk Measures*

**Ruslana Korotkaya**

MS in Mathematics, 2004

Advisor: Gabriella Pinter

Thesis: *History in the Mathematics Classroom: Euler and the Basel Problem*

**Martin Michael**

MS in Mathematics, 2004

Advisor: Albert Milani

Thesis:* An Almost Global Existence Result for a Quasilinear Dissipative Wave Equation*

**Ingrid Orsted**

MS in Mathematics, 2004

Advisor: Ian Musson

Thesis: *The Growth of Graphs*

**Atif Osman**

MS in Mathematics, 2004

Advisor: David Schultz

Thesis: *Numerical Studies of Steady, Viscous, Incompressible Flow in a Channel with a Step*

**Carrie Schermetzler**

MS in Mathematics, 2004

Advisor: Craig Guilbault

Written Exam

**Timothy Tucek**

MS in Mathematics, 2004

Advisor: Eric Key

Thesis: *Quadratic Autoregressive Conditionally Heteroscedastic Model*

**Anne Woerrlein**

MS in Atmospheric Science, 2004

Advisor: Eric Key

Thesis: *The Methods of Moments for Mixtures of Lognormal Distributions with an Application to Atmospheric Science Data*

**Katrin Ziehl**

MS in Mathematics, 2004

Advisor: Richard Stockbridge

Thesis: *Age Dependence of the Fees of Highest Anniversary Value Death Benefit Option*

**MS Degrees Awarded 2003**

**Kseniya Fuhrman**

MS in Mathematics, 2003

Advisor: Gabriella Pinter

Thesis: *Epidemic Models and the Effect of Pulse Removal*

**Lucia Gomez Ramos**

MS in Mathematics, 2003

Advisor: Istvan Lauko

Thesis: *Filtering of MRI Raw Data to Maximize Spatial Resolution*

**Timothy Halbach**

MS in Atmospheric Science, 2003

Advisor: Paul Roebber

Thesis: *Nocturnal Convection and It’s Relation to the Low Level Jet in Southern Wisconsin*

**Gundrun Hoermann**

MS in Actuarial Science, 2003

Advisor: Vytaras Brazauskas

Thesis: *Development of Trimmed Mean Type Estimators for the Weibull Distribution Parameters*

**Wolfgang Hoerner**

MS in Actuarial Science, 2003

Advisor: Vytaras Brazauskas

Thesis: *Robust Estimation of the WINCAT Coupons*

**Asta Jakuleviciene**

MS in Mathematics, 2003

Advisor: Jugal Ghorai

Thesis: *Comparison of Large Sample Confidence Intervals and Fiducial Intervals in Immunoassay Problems*

**Oliver Pauly**

MS in Mathematics, 2003

Advisor: Richard Stockbridge

Thesis: *Observations about Volatility with Applications to Commodity Prices*

**Birgit Reichart**

MS in Actuarial Science, 2003

Advisor: Vytaras Brazauskas

Thesis: *Development of Trimmed Mean Type Estimators for the Lognormal Distribution Parameters*

**Kay Reinhold**

MS in Mathematics, 2003

Advisor: Richard Stockbridge

Thesis: *Modeling the Overday and Overnight Changes of Stock Index Prices*

**David Ruszkiewicz**

MS in Mathematics, 2003

Advisors: Robert Moore and Henry Kepner

Written Exam

**Fabian Schmitt**

MS in Actuarial Science, 2003

Advisor: Vytaras Brazauskas

Thesis: *Comparison of Nonparametric, Parametric, and Robust Parametric Bootstrap Techniques via Simulations*

**Michael Sommers**

MS in Mathematics, 2003

Advisor: Mark Teply

Written Exam

**Markus Tentler**

MS in Mathematics, 2003

Advisor: Kevin McLeod

Thesis: *Ground State of the Helium Atom*

**Jason Von Bergen**

MS in Mathematics, 2003

Advisor: Richard Stockbridge

Thesis: *Modeling the Distributions of Future Margins of Disability Insurance Claims at Northwestern Mutual*

**MS Degrees Awarded 2002**

**Stefanie Donauer**

MS in Mathematics, 2002

Advisor: Jay Beder

Thesis: *Aliasing in irregular fraction of the 2^n factorial design*

**Neda Farzinnia**

MS in Mathematics, 2002

Advisor: Richard Stockbridge

Thesis: *Exploring a Regime Switching Black-Scholes Model with Market Data*

**Thomas Grafenauer**

MS in Mathematics, 2002

Advisor: Kyle Swanson

Thesis: *Large Scale Dynamical Process in Blocking Onsets*

**Svenja Hager**

MS in Mathematics, 2002

Advisor: Ziyu Zheng

Thesis: *Approximation of Generalized Black & Scholes Models by Binomial Trees*

**Alexander Kling**

MS in Mathematics, 2002

Advisor: Craig Guilbault

Written Exam

**Zhiyuan Liu**

MS in Mathematics, 2002

Advisor: Craig Guilbault

Written Exam

**Contanze Luetkebohmert**

MS in Mathematics, 2002

Advisor: Jay Beder

Thesis: *Aliasing in irregular fractions of the 3^n factorial design*

**Aamar Manzoor**

MS in Actuarial Science, 2002

Advisor: Vytaras Brazauskas

Thesis: *Optimal Trimming in Contaminated Pareto Samples: A Monte Carlo Study*

**Joerg Marhenke**

MS in Mathematics, 2002

Advisor: Craig Guilbault

Thesis: *The Schonflies Theorem*

**Peter Miehle**

MS in Mathematics, 2002

Advisor: Mark Teply

Thesis: *A Description of Motzkin’s Idea for Proving a Ring is Euclidian*

**Lioubov Mikhailova**

MS in Mathematics, 2002

Advisor: Bruce Wade

Thesis: *NPID Control with gamma-Limiting and Arbitrary Partial-State Knowledge*

**Jessica Miller
**MS in Mathematics, 2002

Advisor: Jonathan Kahl

Thesis:

*A Three-Dimensional Residence Time Analysis of Potential Transport to Two Locations: Summit, Greenland and Pittsburgh, Pennsylvania*

**Fabian Moerchen
**MS in Mathematics, 2002

Advisor: Bruce Wade

Thesis:

*Analysis of Speedup as Function of Block Size and Cluster Size for Parallel Feedforward Neural Networks on a Beowulf Cluster*

**Christopher Sears
**MS in Mathematics, 2002

Advisor: Karen M. Brucks

Written Exam

**Joseph Shomberg
**MS in Mathematics, 2002

Advisor: Craig Guilbault

Written Exam

**Georg Ulbrich
**MS in Mathematics, 2002

Advisor: Mark Teply

Thesis:

*The Rabin-Miller Pseudoprime Test*

**Hongyan Yang
**MS in Actuarial Science

Advisor: Vytaras Brazauskas

Thesis:

*Nonparametric, Parametric, and Robust Parametric Modeling of Norwegian Fire Claims (1972-1982)*

**Frank Zagermann
**MS in Mathematics, 2002

Advisor: Craig Guilbault

Written Exam

**Younis Zaidan
**MS in Mathematics, 2002

Advisor: Craig Guilbault

Written Exam

**MS Degrees Awarded 2001**

**Kelly Baker
**MS in Mathematics, 2001

Advisor: Eric Key

Thesis:

*Graphical Solutions to Systems of Differential Equations for a Practical Device*

**Matthias Bergner
**MS in Mathematics, 2001

Advisor: Albert Milani

Thesis: L-infinity Estimates for Quasilinear Evolution Equations

**Michael Blank
**MS in Mathematics, 2001

Advisor: Craig Guilbault

Written Exam

**Ruth Carlson
**MS in Mathematics, 2001

Advisor: Bruce Wade

Thesis:

*Optimization of Gluing Operations Using Design of Experiments and MINITAB Software*

**Frank Fleischer
**MS in Mathematics, 2001

Advisor: Craig Guilbault

Written Exam

**Michael Fowle
**MS in Atmospheric Science, 2001

Advisor: Paul Roebber

Thesis:

*Study of the Convective Forecast Skill of Very High Resolution (6 KM)NWP Model Data*

**Krishnendu Ghosh
**MS in Mathematics, 2001

Advisor: Bruce Wade

Thesis:

*Enhancement of a Problem Solving Environment for Gene Analysis*

**Stephan Koetzer
**MS in Mathematics, 2001

Advisor: Craig Guilbault

Written Exam

**Hansjoerg Martin
**MS in Mathematics, 2001

Advisor: Craig Guilbault

Written Exam

**Matthias Rupp
**MS in Mathematics, 2001

Advisor: Craig Guilbault

Written Exam

**Hendrik Schmidt
**MS in Actuarial Science, 2001

Advisor: Vytaras Brazauskas

Thesis:

*Performance of Robust Volatility Estimators in Option Pricing Models*

**Miriam Selinka
**MS in Mathematics, 2001

Advisor: Craig Guilbault

Written Exam

**James Sieveking
**MS in Atmospheric Science, 2001

Advisor: Paul Roebber

Thesis:

*24-48h Predictability of Lake-Enhanced Snowbands in the 2-3 January 1999 Midwest Blizzard*

**Lisa Walter
**MS in Mathematics, 2001

Advisor: Bruce Wade

Thesis:

*Log-Logit and the Four Parameter Logistic Transformations of Immunoassays*

**Weiqun Zhang
**MS in Mathematics, 2001

Advisor: Don Solomon

Thesis:

*Mathematical Modeling on Manipulation of digital Images*

**MS Degrees Awarded 2000**

**Natanya Dugall
**MS in Mathematics, 2000

Advisor: Jugal Ghorai

Thesis:

*Statistical Analysis of Quality Assurance Data Corporation Transparent Vinyl Film Coated with Pressure Sensitive Acrylic Adhesive*

**Timothy Hess
**MS in Mathematics, 2000

Advisor: Jugal Ghorai

Thesis:

*Simulation and Analysis of Correlated Perturbations in a Spatial Weather Forecasting Process*

**Inge Seibold
**MS in Mathematics, 2000

Advisor: M. Klosek

Thesis:

*Stochastic Volatility and Stock Price Models*

**James Stott
**MS in Mathematics, 2000

Advisor: Craig Guilbault

Written Exam

**Jeffrey Wistl
**MS in Mathematics, 2000

Advisor: Craig Guilbault

Written Exam

## PhD Alumni

**PhD Degrees Awarded 2017**

### Spring 2017

**Joseph Barrera**

PhD in Mathematics, May 2017

Advisor: Hans Volkmer

Thesis: *Asymptotic Expansion of L^2-norm of a Solution of the Strongly Damped Wave Equation*

**Matthew Hoeppner**

PhD in Mathematics, May 2017

Advisor: Suzanne Boyd

Thesis: *On Some One-Complex Dimensional Slices of the Boundedness Locus of a Multi-Parameter Rational Family*

**Joseph Tidmore**

PhD in Mathematics, May 2017

Advisor: Chris Hruska

Thesis: *Cocompact Cubulations of Mixed 3-Manifolds*

**Qian Zhao**

PhD in Statistics & Actuarial Science, May 2017

Advisor: Vytaras Brazauskas

Thesis: Robust and Computationally Efficient Methods for Fitting Loss Models and Pricing Insurance Risks

### Summer 2017

**Andrew Bolanowski**

PhD in Mathematics, August 2017

Advisor: Lijing Sun

Thesis: *Nonlocal Electrostatics in Spherical Geometries*

**Matthew Haulmark**

PhD in Mathematics, August 2017

Advisor: Chris Hruska

Thesis: *Splittings of Relatively Hyperbolic Groups and Classifications of 1-Dimensional Boundaries*

**Olaniyi Iyiola**

PhD in Mathematics, August 2017

Advisor: Bruce Wade

Thesis: *Exponential Integrator Methods for Nonlinear Fractional Reaction-Diffusion Models*

**Daniel Yee**

PhD in Mathematics, August 2017

Advisor: Allen Bell

Thesis: *Extensions of Enveloping Algebras via Anti-Cocommutative Elements*

### Fall 2017

**Andrew Gould**

PhD in Applied Mathematics, December 2017

Advisor: Hans Volkmer

Thesis: *God’s Number in the Simultaneously-Possible Turn Metric*

**PhD Degrees Awarded 2016**

### Spring 2016

**Sami Cheong**

PhD in Statistics, May 2016

Advisor: Jugal Ghorai

Dissertation: *Parameter Estimation for the Spatial Ornstein-Uhlenbeck Process with Missing Observations*

**James L. Gollin**

PhD in Algebra, May 2016

Advisor: Allen Bell

Dissertation: *The Root Finite Condition on Groups and it’s Application to Group Rings*

**Brian M. Griffin**

PhD in Atmospheric Science, May 2016

Advisor: Vince Larson

Dissertation: *Improving the Sub-grid Scale Representation of Hydrometers and Microphysical Feedbacl Effects Using a Multivariat PDF*

**Ranadeera Samanthi**

PhD in Actuarial/Statistics, May 2016

Advisor: Vytarus Brazauskas

Dissertation: *Comparing the Riskiness of Dependant Portfolios*

**Justin G. Trulen**

PhD in Analysis, May 2016

Advisor: Lijing Sun

Dissertation: *Asymptotic Estimates for Dispersive Equations on alpha-Modulation Space*

**Daoping Yu**

PhD in Actuarial/Statistics, May 2016

Advisor: Vytarus Brazauskas

Dissertation: *Statistical Contributions to Operational Risk Modeling*

### Summer 2016

**Emmanuel Asante-Asamani**

PhD in Applied Math, August 2016

Advisor: Bruce Wade

Dissertation: *A Real Distinct Poles Exponential Scheme for Advection-diffusion-reaction Systems*

**Yi Jiang**

PhD in Applied Math, August 2016

Advisor: Dexuan Xie

Dissertation: *A Nonlocal Debye-Huckel Equation for Electrostatistics of Aqueous Electrolytes*

**Hassan Lhou**

PhD in Algebra, August 2016

Advisor: Jeb Willenbring

Dissertation: *Resrticting a Representation to a Principally Embedded sl(2) Subalgebra*

**Alexander Mitchell**

PhD in Dynamical Systems, August 2016

Advisor: Suzanne Boyd

Dissertation: *Existence of the Mandelbrot Set in the Parameter Planes of Certain Rational Functions*

**Jinyong Ying**

PhD in Applied Math, August 2016

Advisor: Dexuan Xie

Dissertation: *Domain decomposition based hybrid methods of finite element and finite difference and applications in bio molecule simulations*

### Fall 2016

**Carsten Harlass**

PhD in Statistics, Fall 2016

Advisor: Jugal Ghorai

Dissertation: *Density Estimations for Lifetime Distributions Under Semi-Parametric Random Censorship Models*

**Tyler Baur**

PhD in Statistics, Fall 2016

Advisor: Jay Beder

Dissertation: *Estimating the Selection Gradient of a Function-Valued Trait*

**PhD Degrees Awarded 2015**

### Spring 2015

**Jason La Corte
**PhD in Topology, May 2015

Advisor: Craig Guilbault

Dissertation:

*The Markov-Dubins problem with free terminal direction in a nonpositively curved cube complex*

**Wiktor Mogilski
**PhD in Topology, May 2015

Advisor: Boris Okun

Dissertation:

*The fattened Davis complex and the weighted L*

^{2}-(co)homology of Coxeter groups**Molly Moran
**PhD in Topology, May 2015

Advisor: Craig Guilbault

Dissertation:

*On the Dimension of Group Boundaries*

**Jeffrey Rolland
**PhD in Topology, May 2015

Advisor: Craig Guilbault

Dissertation:

*Some Results on Pseudo-Collar Structures on High-Dimensional Manifolds*

**Brad Schleben
**PhD in Algebra, May 2015

Advisor: Yi Ming Zou

Dissertation:

*Infinitely Generated Clifford Algebras and Wedge Representations of gl∞|∞*

**Kevin Schreve
**PhD in Topology, May 2015

Advisor: Boris Okun

Dissertation:

*The L^2 Cohomology of Discrete Groups*

**Wen Yang
**PhD in Statistics, May 2015

Advisor: Daniel Gervini

Dissertation:

*Shape-Invariant Models for Non-Independent Functional Data*

### Summer 2015

**Ram Adhikari
**PhD in Mathematics, August 2015

Advisors: Bruce Wade & Chao Zhu

Dissertation:

*A Weak Simpson Method for a Class of Stochastic Differential Equations and Numerical Stability Results*

**Jesse Feller
**PhD in Mathematics, August 2015

Advisor: Suzanne Boyd

Dissertation:

*Random Iteration of Holomorphic Rational Maps*

**Wayne Johnson**

PhD in Mathematics, August 2015

Advisor: Jeb Willenbring

Dissertation: *Multivariate Hilbert series of lattice cones and homogeneous varieties*

**Dawn Kopacz**

PhD in Atmospheric Science, August 2015

Advisor: Kyle Swanson

Dissertation: *Predictability of Sea Ice Near Bifurcations*

### Fall 2015

**Noriyuki Sugiyama**

PhD in Atmospheric Science, Fall 2015

Advisor: Sergey Kravtsov

Dissertation: *The Great Lakes’ Regional Climate Regimes*

**Hung Tran**

PhD in Topology, Fall 2015

Advisor: Chris Hruska

Dissertation: *Relative Divergence, Subgroup Distortion and Geodesic Divergence*

**PhD Degrees Awarded 2014**

### Spring 2014

**Ridha Moussa
**PhD in Mathematics, May 2014

Advisor: Hans Volkmer

Thesis: On the Generalized Ince’s Equation

**Diana (Thomson) La Corte
**PhD in Mathematics, May 2014

Advisor: Yi Ming Zou

Thesis: Newton’s Method Backpropagation for Complex-Valued Holomorphic Neural Networks: Algebraic and Analytic Properties

### Summer 2014

**Jeremy Alan Osborne
**PhD in Mathematics, August 2014

**Advisor: G. Chris Hruska**

Thesis: Statistical Hyperbolicity of Relatively Hyperbolic Group

### Winter 2014

**Peter Sparks
**PhD in Mathematics, December 2014

**Advisor: Craig Guilbault**

Thesis: Contractible n-manifolds and the double n-space property

**PhD Degrees Awarded 2013**

### Spring 2013

**Jason Gaddis
**PhD in Mathematics, May 2013

Advisor: Allen Bell

Thesis: PBW Deformations of Artin-Schelter Regular Algebras and their Homogenizations

**America Masaros
**PhD in Mathematics, May 2013

Advisor: Ian Musson

Thesis: Category O Representations of the Lie Superalgebra osp(3,2)

**Rolando Olivas Saunders
**PhD in Atmospheric Science, May 2013

Advisor: Jonathan Kahl

Thesis: Improved Estimation of PM2.5 Using Lagrangian Stellite-Measured Aerosol Opitcal Depth

### Summer 2013

**Xiaoying Lin
**PhD in Mathematics, August 2013

Advisor: Dashan Fan

Thesis: The Boundedness of Hausdurft Operators on Function Spaces

**Lauren Williams
**PhD in Mathematics, August 2013

Advisor: Jeb Willenbring

Thesis: Invariant Polynomials on Tensors Under the Action of a Product of Orthogonal Group

**PhD Degrees Awarded 2012**

### Spring 2012

**Pamela Harris
**PhD in Mathematics, May 2012

Advisor: Jeb Willenbring

Thesis: Combinational Problems Related to Kostant’s Weight Multiplicity Formula

**John Wood
**PhD in Actuarial Science, May 2012

Advisor: Eric Key

Thesis: Modeling Processes With Heavy Tails

### Summer 2012

**Paul Fonstad
**PhD in Mathematics, August 2012

**Advisor: Frederic Ancel**

Thesis: A Further Classification of the Boundaries of the Croke-Kleiner Group

**PhD Degrees Awarded 2011**

### Spring 2011

**Loribeth Alvin
**PhD in Mathematics, May 2011

Advisor: Karen Brucks

Thesis: A Study of Low Dimensional Dynamics

### Winter 2011

**Hong Du
**PhD in Statistics, December 2011

**Advisor: Daniel Gervini**

Thesis: Nonlinear Functional Discriminant Analysis

**PhD Degrees Awarded 2010**

### Spring 2010

**Mazen Zarrouk
**PhD in Mathematics, May 2010

Advisor: Dexuan Xie

Thesis: Analysis of Truncated Incomplete Hessian Newton Minimization Method and Application in Biomolecular Simulations

### Summer 2010

**Janel Hanrahan
**PhD in Atmospheric Science, December 2010

Advisor: Paul Roebber

Thesis: Connecting Past and Present Climate Variability to the Water Levels of Lake Michigan

**PhD Degrees Awarded 2009**

### Spring 2009

**Shawn Chiappetta
**PhD in Mathematics, May 2009

Advisor: B. Wade

Thesis: Non-Overlapping Domain Decomposition Parallel Algorithms for Convection-Diffusion Problems

**Martin Michael
**PhD in Mathematics, May 2009

Advisor: A. Milani

Thesis: Local and Global Solutions to Quasilinear Wave Equations via Nash-Moser Algorithm

**George Rus
**PhD in Mathematics, May 2009

Advisor: R. Stockbridge and B. Wade

Thesis: Finite Element Methods for Control of Singular Stochastic Processes

**Florian Sebert
**PhD in Mathematics, May 2009

Advisor: Y.M. Zou

Thesis: Algebraic and Geometric Properties of Generalized Wavelet Matrices

**Katharina Zaglauer
**PhD in Mathematics, May 2009

Advisor: R. Stockbridge

Thesis: Fair Pricing of Participating Life Insurance Contracts in a Regime-Switching Market Environment

### Summer 2009

**Ju Youn Bae
**PhD in Mathematics, August 2009

Advisor: Jay Beder

Thesis: Estimation of the Additive Genetic Covariance Function

**Rene Kuelheim
**PhD in Mathematics, August 2009

Advisor: Jugal Ghorai & Gerhard Dikta

Thesis: Asymptotic Properties of Semiparametric Random Censorship Models with Covariables

Winter 2009

**Harald Dornheim
**PhD in Actuarial Science, December 2009

Advisor: Vytaras Brazauskas

Thesis: Robust-Efficient Fitting of Mixed Linear Models: Theory, Simulations, Actuarial Extensions, and Examples

**Britta Janssen
**PhD in Mathematics, December 2009

Advisor: Bruce Wade

Thesis: An Efficient Exponential Time Differencing Method for Nonlinear Reaction Diffusion Problems

**Andreas Kleefeld
**PhD in Mathematics, December 2009

Advisor: Tzu-Chu Lin

Thesis: Direct and Inverse Acoustic Scattering for Three-Dimensional Surfaces

**PhD Degrees Awarded 2008**

### Spring 2008

**John Dudek
**PhD in Mathematics, May 2008

Advisor: Albert Milani and Daniel Agterberg

Thesis: A Mathematical Investigation of Solutions for the Two-Component order Parameter in the Ginzburg-Landau Equations of Superconductivity

**Jae Kook Lee
**PhD in Mathematics, May 2008

Advisor: Allen Bell and Mark Teply

Thesis: Some Covers and Relative Covers of Modules

**Christopher Mooney
**PhD in Mathematics, May 2008

Advisor: Craig Guilbault

Thesis: On Boundaries of CAT(0) Groups

**Tim Schroeder
**PhD in Mathematics, May 2008

Advisor: Boris Okun

Thesis: L^2-homology of Coxeter Groups

**Asta Shomberg
**PhD in Mathematics, May 2008

Advisor: Jugal Ghorai

Thesis: Estimation of False Discovery Rate under Parametric Assumptions with Application to DNA Microarrays

### Summer 2008

**Hao He
**PhD in Mathematics, August 2008

Advisor: Richard Stockbridge

Thesis: Utility Maximization of a Portfolio that Includes an Illiquid Asset

**Joseph Shomberg
**PhD in Mathematics, August 2008

Advisor: Albert Milani

Thesis: Explicit Construction of a Robust Family of Compact Inertial Manifolds

### Winter 2008

**Kseniya Fuhrman
**PhD in Mathematics, December 2008

Advisor: Gabriella Pinter

Thesis: Mathematical Modeling and Analysis of Virus-Host Interactions in Aquatic Systems

**PhD Degrees Awarded 2007**

### Spring 2007

**Maya Geliazkova
**Phd in Mathematics, Spring 2007

Advisor: Jay Beder and Brent Logan

Thesis: Spatial Thresholding Procedures for fMRI Analysis

### Summer 2007

**Margaret Christin May
**PhD in Mathematics, Summer 2007

Advisor: Craig Guilbault

Thesis: Finite Dimensional Z-Compactifications

**Christopher Sears
**PhD in Mathematics, Summer 2007

Advisor: Karen M. Brucks

Thesis: Monotonicity of Kneading Sequences in Families of One-kink Maps

**Anthony van Groningen
**PhD in Mathematics, Summer 2007

Advisor: Jeb Willenbring

Thesis: Graded Multiplicities of the Nullcone for the Algebraic Symmetric Pair of Type G

**Younis Zaidan
**PhD in Mathematics, Summer 2007

Advisor: Gabriella Pinter

Thesis: Analysis of Maxwell-Systems with Different Polarization Mechanisms

### Winter 2007

**Stephen Lehrke
**PhD in Mathematics, Fall 2007

Advisor: Jugal Ghorai

Thesis: Asymptotic Properties of the MLE of Parameters of the Multivariate O-U Process

**PhD Degrees Awarded 2006**

### Spring 2006

**Weiqun Zhang
**PhD in Mathematics, Spring 2006

Advisor: David Schultz and Tzu-Chu Lin

Thesis: Numerical Solutions of Linear and Nonlinear Singular Perturbation Problems

**PhD Degrees Awarded 2005**

### Spring 2005

**Muhammad Yousuf
**PhD in Mathematics, Spring 2005

Advisor: Bruce Wade

Thesis: Smoothing Schemes for the Inhomogeneous Linear and Semilinear Parabolic Problems with Nonsmooth Data

### Summer 2005

**Lordanka Panayotova
**PhD in Mathematics, Summer 2005

Advisor: Kyle Swanson and Bruce Wade

Thesis: Meridional Asymmetries in Large-Scale Atmospheric Dynamical Phenomena

### Winter 2005

**Zhiyuan Liu
**PhD in Atmospheric Science, Fall 2005

Advisor: Paul Roebber

Thesis: Vortices in Deformation Background Flow – A Sensitivity Source of the Atmosphere

**PhD Degrees Awarded 2004**

### Summer 2004

**Michael Bartl
**PhD in Mathematics, Summer 2004

Advisor: Dashan Fan

Thesis: On a hyper-Hilbert transform and singular integrals

**PhD Degrees Awarded 2003**

### Spring 2003

**George Vachadze
**PhD in Actuarial Science, Spring 2003

Advisor: Eric Key

Thesis: Finite Mixture Models and Their Applications in Finance

### Summer 2003

**Mohammad Siddique
**PhD in Mathematics, Summer 2003

Advisor: Bruce Wade

Thesis: Smoothing with Positivity-Preserving Pade Schemes for Parabolic Problems with Nonsmooth Data

**PhD Degrees Awarded 2002**

### Spring 2002

**Tatiana Soleski
**PhD in Mathematics, Spring 2002

Advisor: Bruce Wade

Thesis: Wavelets in Computerized Tomography

### Summer 2002

**Sonia Rueda
**PhD in Mathematics, Summer 2002

Advisor: Ian Musson

Thesis: Differential Operators on Invariants Rings of Tori and Related Topics

**Boris Yordanov
**PhD in Mathematics, Summer 2002

Advisor: Albert Milani

Thesis: Critical Exponents for Nonlinear Wave Equations with Damping

**PhD Degrees Awarded 2001**

### Spring 2001

**Bahodir Siddikov
**PhD in Mathematics, Spring 2001

Advisor: David Schultz

Thesis: Numerical Simulation of the Active Magnetic Regenerative Refrigerator

### Summer 2001

**Fatma Ilicasu
**PhD in Mathematics, Summer 2001

Advisor: David Schultz

Thesis: High Order Methods for Singular Perturbation Problems

**David Radcliffe
**PhD in Mathematics, Summer 2001

Advisor: Fredric Ancel

Thesis: Unique Presentation of Coxeter Groups and Related Groups

**PhD Degrees Awarded 2000**

### Spring 2000

**Xionghui He
**PhD in Mathematics, Spring 2000

Advisor: Hans Volkmer

Thesis: On the Stability of Non-Harmonic Fourier Series

**Lukemba Liamba
**PhD in Mathematics, Spring 2000

Advisor: Hans Volkmer

Thesis: Solution of Dirichlet Problems by Generalized Spherical Harmonics

### Winter 2000

**Dengfeng Cheng
**PhD in Mathematics, Fall 2000

Advisor: T.C. Lin

Thesis: Multiwavelet Solutions to the Boundary Integral Equations

**Dong Yu
**PhD in Mathematics, Fall 2000

Advisor: Jugal Ghorai

Thesis: Density Estimation with Positive Wavelet Kernel

For earlier degrees or additional information, please contact math-staff@uwm.edu.