Network Conditions for Positive Recurrence of Stochastically Modeled Reaction Networks and Mixing Jinsu Kim University of Wisconsin - Madison PhD Graduate Student “Reaction networks are graphical configurations that can be used to describe biological interaction networks. If the abundances of... Read More
An Introduction to Lie Groups and Lie Algebras Alex Heaton University of Wisconsin-Milwaukee PhD Graduate Student “Symmetry groups are complicated, but their tangent spaces are easier! We will go over the basis intuitive ideas, and some illustrative and exciting low-dimensional... Read More
A Scalable Parallel Sparse Linear System Solver Ahmed H. Sameh Purdue University Department of Computer Science “Numerous computational science and engineering applications give rise to large sparse linear systems for which one needs approximate solutions that yield only modest relative... Read More
Investigating Various Approaches to the 3x+1 Problem Daniel Gulbrandsen University of Wisconsin-Milwaukee PhD Graduate Student “The 3x+1 problem, also known as the Collatz Conjecture, is easy enough to write down. Begin with any positive integer. If the integer is even,... Read More
The University of Wisconsin-Milwaukee presents, Meet Milwaukee Sample life as a UWM student both in and out of the classroom. Learn how the city of Milwaukee will enhance your education. Meet current UWM students to get the inside scoop on... Read More
Strongly Nilpotent Matrices and a Generalization of a Theorem of Konstant Mark Colarusso University of South Alabama Assistant Professor of Mathematics “Consider the set of n x n complex, nilpotent matrices with the property that every submatrix in the top... Read More
Generalized Dunce Hats do not have the Double Collapsible Property Pete Sparks Marquette University Instructor “We show that no generalized dunce hat can be decomposed into two collapsible subpolyhedra whose intersection is also collapsible. This is related to the notion... Read More
The Halting Problememememem... Sebastion Oberhoff University of Wisconsin-Milwaukee PhD Graduate Student "Imagine we have a procedure called P that for specified input permits you to see whether specified source code, with all of its faults, defines a routine that eventually... Read More
Numerical Analysis of Matrix Rank Deficiency Zhonggang Zeng Northeastern Illinois University Professor of Mathematics “Rank deficient matrices are frequently encountered and often dreadful in scientific computing, but rarely elaborated in numerical analysis textbooks. Accurate solutions of problems involving such matrices... Read More
A Fourier Multiplier Theorem on the Besov-Lipschitz Spaces Jingchun Chen University of Wisconsin-Milwaukee PhD Graduate Student “We consider Fourier multiplier operators whose symbols satisfy a generalization of Hormander's condition and establish their Sobolev-type mapping properties on the homogeneous Besov-Lipschitz spaces... Read More