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 …
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 …
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 …
(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 …
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 …
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 …
On the Lucky Sets of Fubini Rankings Melissa Beerbower Loyola University Chicago Recall that Fubini rankings of length n are rankings of n competitors allowing for ties. We can say that the number of rankings, k, with k less than …
Counting Orbits of Defective Parking Functions Alex Moon PhD Student University of Wisconsin-Milwaukee Parking functions are well-studied objects in combinatorics and representation theory which constitute tuples of preferred parking spots for cars under a linear parking scheme. This talk will …
Harmonize your Fractals Matt McClinton Graduate Student University of Wisconsin-Milwaukee The Sierpinski Gasket (SG) is a known fractal object. A simple observation shows that SG is path connected. Unfortunately, the infinitely jagged structure of the Gasket prevents these paths from …
On Combinatorial Problems of Generalized Parking Functions Kimberly Hadaway PhD Student Iowa State University In this talk, we study combinatorial problems related to generalized parking functions. Our work is motivated by two different research questions posed to us by Dr. …