BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Mathematical Sciences - ECPv6.16.3//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Mathematical Sciences
X-ORIGINAL-URL:https://uwm.edu/math
X-WR-CALDESC:Events for Mathematical Sciences
REFRESH-INTERVAL;VALUE=DURATION:PT1H
X-Robots-Tag:noindex
X-PUBLISHED-TTL:PT1H
BEGIN:VTIMEZONE
TZID:America/Chicago
BEGIN:DAYLIGHT
TZOFFSETFROM:-0600
TZOFFSETTO:-0500
TZNAME:CDT
DTSTART:20230312T080000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0500
TZOFFSETTO:-0600
TZNAME:CST
DTSTART:20231105T070000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0600
TZOFFSETTO:-0500
TZNAME:CDT
DTSTART:20240310T080000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0500
TZOFFSETTO:-0600
TZNAME:CST
DTSTART:20241103T070000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0600
TZOFFSETTO:-0500
TZNAME:CDT
DTSTART:20250309T080000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0500
TZOFFSETTO:-0600
TZNAME:CST
DTSTART:20251102T070000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0600
TZOFFSETTO:-0500
TZNAME:CDT
DTSTART:20260308T080000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0500
TZOFFSETTO:-0600
TZNAME:CST
DTSTART:20261101T070000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20250227T100000
DTEND;TZID=America/Chicago:20250227T120000
DTSTAMP:20260607T061626
CREATED:20250226T135546Z
LAST-MODIFIED:20250226T135546Z
UID:10016210-1740650400-1740657600@uwm.edu
SUMMARY:PhD Dissertation Defense: Kimberly Harry
DESCRIPTION:Kostant’s Formula and Parking Functions: Combinatorial Explorations\nKimberly Harry\nUniversity of Wisconsin-Milwaukee \nWe let L(λ) denote the irreducible highest weight representation of the classical simple Lie algebra g with highest weight λ. Kostant’s weight multiplicity formula gives a way to compute the multiplicity of a weight µ in L(λ)\, denoted m(λ\, µ)\, via an alternating sum over the Weyl group whose terms involve the Kostant partition function. The Weyl alternation set A(λ\, µ) is the set of Weyl group elements that contribute nontrivially to the multiplicity m(λ\, µ). We prove that Weyl alternation sets are order ideals in the weak Bruhat order of the Weyl group. Specializing to the Lie algebra of type A\, we prove that the Weyl alternation sets A(˜α\, µ)\, where ˜α is the highest root of sl_{r+1}(C) and µ is a positive root is a product of Fibonacci numbers. Using this result\, we show that the q-multiplicity of the positive root in the representation L(˜α) is precisely a power of q. We give a complete characterization of the Weyl alternation sets A(˜α\, µ)\, where µ is now a negative root of sl_{r+1}(C). We also show that the cardinality of these Weyl alternation sets satisfies a two-term recurrence relation involving Fibonacci numbers. Time permitting I will present further results related to collaborative projects I have contributed to during my years at UWM. \nAdvisor: Pamela E. Harris \nCommittee Members:\nProfs. Jeb Willenbring\, Kevin McLeod\, Gabriella Pinter\, and Jonah Gaster
URL:https://uwm.edu/math/event/phd-dissertation-defense-kimberly-harry/
LOCATION:EMS Building\, Room W434\, W434; 3200 N Cramer St.\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
X-TRIBE-STATUS:
GEO:43.0758771;-87.8858312
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=EMS Building Room W434 W434; 3200 N Cramer St. Milwaukee WI 53211 United States;X-APPLE-RADIUS=500;X-TITLE=W434; 3200 N Cramer St.:geo:-87.8858312,43.0758771
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240506T130000
DTEND;TZID=America/Chicago:20240506T140000
DTSTAMP:20260607T061626
CREATED:20240506T153439Z
LAST-MODIFIED:20240506T153439Z
UID:10016163-1715000400-1715004000@uwm.edu
SUMMARY:MS Thesis Defense: Mr. Silas Winnemoeller
DESCRIPTION:A Finite Element Block Modified Backward Euler Method For Solving A One-Dimensional Poisson-Nernst-Planck Ion Channel Model\nMr. Silas Winnemoeller\nUniversity of Wisconsin-Milwaukee \nIn this thesis\, a finite element block modified backward Euler method is introduced to solve a one-dimensional Poisson-Nernst-Planck ion channel (1D PNPic) model. This model is defined as a system of time-dependent nonlinear partial differential equations\, called Poisson-Nernst equations and Poisson equation\, describing the transport of charged ionic species across a cell membrane via an ion channel pore. For an electrolyte with n ionic species\, its numerical solution gives a prediction to n ionic concentration functions and an electrostatic potential function. However\, solving the 1DPNPic model numerically is challenging due to the model’s strong nonlinearity and numerical stability issues. To address the numerical stability issues\, the traditional backward Euler implicit time scheme is often selected to solve the 1DPNPic model but it may be too costly to be practical in application since it has to solve a system of n + 1 strongly nonlinear partial differential equations at each time step. Hence\, its modification becomes necessary to reduce its computing cost while retaining its numerical stability properly. In this thesis\, the new method is constructed by semi-discretization and finite element techniques such that its each time iteration only involves calculation within two blocks with each block only containing two linear differential equations. Consequently\, the new method can reduce the\ncomputing cost of the Euler scheme sharply. In this thesis\, the new method is implemented as a software package in Python based on the finite element library from the FEniCS project. Numerical tests are then done for an electrolyte with two ionic species\, demonstrating the convergence and high performance of the new method. \nAdvisor: Prof. Dexuan Xie \nCommittee Members:\nProfs. Lei Wang\, Vincent Larson\, and Dexuan Xie \n 
URL:https://uwm.edu/math/event/ms-thesis-defense-mr-silas-winnemoeller/
LOCATION:EMS Building\, Room E416\, 3200 N Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
X-TRIBE-STATUS:
GEO:43.075931;-87.885538
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=EMS Building Room E416 3200 N Cramer St Milwaukee WI 53211 United States;X-APPLE-RADIUS=500;X-TITLE=3200 N Cramer St:geo:-87.885538,43.075931
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240503T133000
DTEND;TZID=America/Chicago:20240503T140000
DTSTAMP:20260607T061626
CREATED:20240411T204952Z
LAST-MODIFIED:20240429T181640Z
UID:10016156-1714743000-1714744800@uwm.edu
SUMMARY:PhD Dissertation Defense: Mr. Dan Noelck
DESCRIPTION:Contraction Rates For McKean-Vlassov Stochastic Differential Equations\nMr. Dan Noelck\nUniversity of Wisconsin-Milwaukee \nThis work focuses on the contraction rates for McKean-Vlasov stochastic differential equations (SDEs)\, McKean-Vlasov Stochastic differential delay equations (SDDEs)\, and path dependent McKean-Vlasov stochastic differential equations.\nUnder suitable conditions on the coefficients of the SDE\, this dissertation derives explicit quantitative contraction rates for the convergence in Wasserstein distances of McKean-Vlasov SDEs using the coupling method. The contraction results are then used to prove a propagation of chaos uniformly in time\, which\nprovides quantitative bounds on convergence rate of interacting particle systems\, and establishes exponential ergodicity for McKean-Vlasov SDEs. The dissertation further develops suitable conditions on the coefficients of the McKean-Vlasov SDDE to obtain a contraction in Wasserstein distance using the coupling method again. These results are used to establish exponential ergodicity for McKean-Vlasov SDDEs. Last the dissertation obtains suitable conditions on the coefficients of the path dependent McKean-Vlasov SDE for a contraction in Wasserstein distance. \nAdvisor: Prof. Chao Zhu \nCommittee Members:\nProfs. Lijing Sun\, Jeb Willenbring\, Richard Stockbridge\, and Peter Hinow
URL:https://uwm.edu/math/event/phd-dissertation-defense-mr-dan-noelck/
LOCATION:EMS Building\, Room E423\, E423; 3200 N Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
X-TRIBE-STATUS:
GEO:43.0758771;-87.8858312
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=EMS Building Room E423 E423; 3200 N Cramer St Milwaukee WI 53211 United States;X-APPLE-RADIUS=500;X-TITLE=E423; 3200 N Cramer St:geo:-87.8858312,43.0758771
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240503T083000
DTEND;TZID=America/Chicago:20240503T090000
DTSTAMP:20260607T061626
CREATED:20240425T192401Z
LAST-MODIFIED:20240425T192401Z
UID:10016161-1714725000-1714726800@uwm.edu
SUMMARY:MS Thesis Defense: Mr. Sven Bergmann
DESCRIPTION:Adding a Third Normal to CLUBB\nMr. Sven Bergmann\nUniversity of Wisconsin-Milwaukee \nThe Cloud Layers Unified By Binormals (CLUBB) model uses the sum of two normal probability density function (pdf) components to represent subgrid variability within a single grid layer of an atmospheric model. This binormal approach\, while computationally efficient\, restricts the model’s ability to capture the full spectrum of potential shapes encountered in real-world atmospheric data. This thesis proposes to introduce a third normal pdf component strategically positioned between the existing two\, significantly enhancing the model’s representational flexibility. This trinormal representation allows for a wider range of grid-layer shapes while permitting analytic solutions for certain higher order moments. The core of this work lies in deriving the necessary mathematical transformations for incorporating the third normal pdf seamlessly into the CLUBB framework. This thesis lists all formulas\, inputs\, and outputs associated with the extended model as well as gives an outline\non how to check those equations. Additionally\, it describes certain asymptotic behavior of the trinormal pdf under various parameter settings. \nAdvisor: Prof. Vince Larson \nCommittee Members:\nProfs. Vince Larson\, Peter Hinow\, and David Spade
URL:https://uwm.edu/math/event/ms-thesis-defense-mr-sven-bergmann/
LOCATION:EMS Building\, EMS E495\, 3200 Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
X-TRIBE-STATUS:
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240502T160000
DTEND;TZID=America/Chicago:20240502T170000
DTSTAMP:20260607T061626
CREATED:20240425T191913Z
LAST-MODIFIED:20240425T192108Z
UID:10016160-1714665600-1714669200@uwm.edu
SUMMARY:MS Thesis Defense: Mr. Lucas Fellmeth
DESCRIPTION:Utilizing ARMA Models for Non-Independent Replications of Point Processes\nMr. Lucas Fellmeth\nUniversity of Wisconsin-Milwaukee \nThe use of a functional principal component analysis (FPCA) approach for estimating intensity functions from prior work allows us to obtain component scores of replicated point processes under the assumption of independent replications. We show these component scores can be modeled using classical autoregressive moving average (ARMA) models\, thus allowing us to also apply the FPCA model to non-independent replications. The Divvy bike-sharing system in the city of Chicago is showcased as an application. \nAdvisor: Prof. Daniel Gervini \nCommittee Members:\nProfs. Daniel Gervini\, David Spade\, and Chudamani Poudyal
URL:https://uwm.edu/math/event/ms-thesis-defense-mr-lucas-fellmeth/
LOCATION:EMS Building\, E408\, 3200 N Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
X-TRIBE-STATUS:
GEO:43.075931;-87.885538
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=EMS Building E408 3200 N Cramer St Milwaukee WI 53211 United States;X-APPLE-RADIUS=500;X-TITLE=3200 N Cramer St:geo:-87.885538,43.075931
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240502T130000
DTEND;TZID=America/Chicago:20240502T150000
DTSTAMP:20260607T061626
CREATED:20240411T204638Z
LAST-MODIFIED:20240429T133426Z
UID:10016155-1714654800-1714662000@uwm.edu
SUMMARY:PhD Dissertation Defense: Mr. Russell Latterman
DESCRIPTION:Bayesian Change Point Detection In Segmented Multi-Group Autoregressive Moving-Average Data For The Study Of COVID-19 In Wisconsin\nMr. Russell Latterman\nUniversity of Wisconsin-Milwaukee \nChangepoint detection involves the discovery of abrupt fluctuations in population dynamics over time. We take a Bayesian approach to estimating points in time at which the parameters of an autoregressive moving average (ARMA) change\, applying a Markov Chain Monte Carlo method. We specifically assume that data may originate from one of two groups. We provide estimates of all multi-group parameters of a model of this form for both simulated and real-world data sets. We include a provision to resolve the problem of confounding ARMA parameter estimates and variance of segment data. We apply our model to identify events that may have contributed to the 2020 and 2021 outbreaks of COVID-19 in Waukesha County\, Wisconsin. \nAdvisor: Prof. David Spade \nCommittee Members:\nProfs. Richard Stockbridge\, Istvan Lauko\, Chao Zhu\, and Vytaras Brazauskas
URL:https://uwm.edu/math/event/phd-dissertation-defense-mr-russell-latterman/
LOCATION:EMS Building\, Room E424A\, E424A; 3200 N Cramer St.\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
X-TRIBE-STATUS:
GEO:43.0758771;-87.8858312
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=EMS Building Room E424A E424A; 3200 N Cramer St. Milwaukee WI 53211 United States;X-APPLE-RADIUS=500;X-TITLE=E424A; 3200 N Cramer St.:geo:-87.8858312,43.0758771
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240430T130000
DTEND;TZID=America/Chicago:20240430T140000
DTSTAMP:20260607T061626
CREATED:20240425T192637Z
LAST-MODIFIED:20240425T192637Z
UID:10016162-1714482000-1714485600@uwm.edu
SUMMARY:MS Thesis Defense: Ms. Helen Kafka
DESCRIPTION:Markov Chain Model of Three-Dimensional Daphnia Magna Movement\nMs. Helen Kafka\nUniversity of Wisconsin-Milwaukee \nDaphnia magna make turns through an antennae-whipping action. This action occurs every few seconds\, hence\, during the intervening time\, the animal either remains in place or continues movement roughly along its current course. We view their movement in three dimensions. We divide the movement in the three dimensions into the movement on a two-dimensional lattice and the movement between the different planes. For the movement on the lattice\, we construct a second-order Markov chain model to make predictions about which region of the lattice the animal moves to based on where it was at the last two time points. The movement between the different planes is simulated by a first-order Markov chain. \nAdvisor: Prof. David  Spade \nCommittee Members:\nProfs. David Spade\, Jeb Willenbring\, and Chudamani Poudyal
URL:https://uwm.edu/math/event/ms-thesis-defense-ms-helen-kafka/
LOCATION:EMS Building\, E408\, 3200 N Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
X-TRIBE-STATUS:
GEO:43.075931;-87.885538
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=EMS Building E408 3200 N Cramer St Milwaukee WI 53211 United States;X-APPLE-RADIUS=500;X-TITLE=3200 N Cramer St:geo:-87.885538,43.075931
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240426T100000
DTEND;TZID=America/Chicago:20240426T120000
DTSTAMP:20260607T061626
CREATED:20240411T201135Z
LAST-MODIFIED:20240411T201135Z
UID:10016153-1714125600-1714132800@uwm.edu
SUMMARY:PhD Dissertation Defense: Mr. William Braubach
DESCRIPTION:Coarse Homotopy Extension Property and its Applications\nMr. William Braubach\nUniversity of Wisconsin-Milwaukee \nA pair (X\, A) has the homotopy extension property if any homotopy of A can be extended to a homotopy of X. The main goal of this dissertation is to define a coarse analog of the homotopy extension property for coarse homotopies and prove coarse versions of results from algebraic topology involving this property.\nFirst\, we define a notion of a coarse adjunction metric for constructing coarse adjunction spaces. We use this to redefine coarse CW complexes and to construct a coarse version of the mapping cylinder. We then prove various pairs of spaces have the coarse homotopy extension property. In particular\, pairs of coarse CW complexes. We then prove results involving the coarse homotopy extension property\, leading to the result that a coarse map f from X into Y is a coarse homotopy equivalence if and only if the coarse mapping cylinder coarse deformation retracts onto its copy of X. We use this to prove our main result\, a coarse version of Whitehead’s Theorem: If a cellular coarse map f between coarse CW complexes induces isomorphisms between coarse homotopy groups\, then f is a coarse homotopy equivalence. \nAdvisor: Prof. Boris Okun \nCommittee Members:\nProfs. Boris Okun\, Craig Guilbault\, Jeb Willenbring\, Jonah Gaster\, and Chris Hruska
URL:https://uwm.edu/math/event/phd-dissertation-defense-mr-william-braubach/
LOCATION:EMS Building\, Room E425\, E425; 3200 N Cramer St.\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
X-TRIBE-STATUS:
GEO:43.0758771;-87.8858312
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=EMS Building Room E425 E425; 3200 N Cramer St. Milwaukee WI 53211 United States;X-APPLE-RADIUS=500;X-TITLE=E425; 3200 N Cramer St.:geo:-87.8858312,43.0758771
END:VEVENT
END:VCALENDAR