Introduction to (Partial) Z-Boundaries Joe Paulson PhD Graduate Student University of Wisconsin - Milwaukee In this talk, I'll share an abridged story of Z-boundaries and their utility in group theory. Throughout, we'll revisit some main characters (compactifications, homotopy groups, group …
Kohnert Properties of Northeast Diagrams Alexander Moon Graduate Student University of Wisconsin - Milwaukee Kohnert polynomials and posets are combinatorial objects with deep representation theoretic meaning, generalizing both Schubert polynomials and Demazure characters, i.e., key polynomials. In this talk I …
(t,r) Broadcast Domination of the Truncated Square Tiling Graph Jillian Cervantes Graduate Student University of Wisconsin - Milwaukee This talk will introduce graph domination theory and a generalization called (t,r) broadcast domination. We study a family of graphs that arise …
Combinatorial Models for Some Generalized McMullen Maps in the Case of Two Bounded Critical Orbits Kelsey Brouwer PhD Student University of Wisconsin - Milwaukee The family of generalized McMullen maps R(z)= z^n + b + a/z^n has two independent critical …
Blowup of the Nonlinear Klein-Gordon Equation in FLRW Spacetimes Gregory Mwamba Graduate Student University of California - Merced The nonlinear Klein-Gordon equations are a class of important evolution equations that describe the movement of spinless relativistic particles, which can lend …
A q-analog of Kostant's Weight Multiplicity Formula and a Product of Fibonacci Numbers Kim Harry PhD Graduate Student University of Wisconsin-Milwaukee Using Kostant’s weight multiplicity formula, we describe and enumerate the terms contributing a nonzero value to the multiplicity of …
Finite State Machines and Bounded Permutations Eric Redmon Graduate Student Marquette University We define a k-bounded permutation π of length n to be a permutation such that for each pair of adjacent entries $\pi$ and $\pi(i + 1)$ for $i …
Finite Elements for Mathematicians Liam Jemison PhD Graduate Student University of Wisconsin-Milwaukee We will discuss the finite element method, a powerful approach for numerically solving differential equations. We will introduce the weak formulation of a differential equation from the functional …
Fractal Geometry and Non-Integer Dimensions Matt McClinton PhD Graduate Student University of Wisconsin-Milwaukee Popularized in the 1980s, fractals have become something of a household name. These fractal sets often demonstrate peculiar topological properties. One such property is the notion of …
Stirling Permutations to Increasing Plane Trees and Back Ariel Minakawa and Gavin Sayrs Undergraduate Students University of Wisconsin-Milwaukee A Stirling permutation is a permutation on the multiset {1,1, 2, 2, 3, 3, ... ,n, n} such that any numbers appearing …