Rigidity of Maps Between Spaces of Polynomials In the 1500s, Ferrari found a method to find the roots of a quartic polynomial. As part of his solution to this problem, he found a formula to turn a quartic polynomial into …
Bridging the Gap Between Stable Marriage and Stable Roommates: A Parameterized Algorithm for Optimal Stable Matchings An instance of the Stable Roommates (SR) problem consists of 2n agents, each with a preference list that linearly orders the other agents. The …
From Polyominoes to Fibonacci and Catalan Numbers Polyominoes are simple geometric objects that lead to many interesting and sometimes surprisingly difficult problems in discrete mathematics and theoretical computer science. In this talk, I will introduce polyominoes and discuss two classical …
SIMPLE CLOSED GEODESICS ON HYPERBOLIC SURFACES Many of the 21st century spectacular advances in geometry and topology involve the study of simple closed geodesics on hyperbolic surfaces (Thurston, Mirzakhani, etc). I will tell you about one difficult little aspect of …
The combinatorics of seaweed algebras Seaweed algebras form a class of Lie algebras for which a number of algebraic invariants can be computed combinatorially. One such invariant is the index, an important algebraic invariant which is notoriously difficult to compute. …
Presented by Prof Chris Hruska, Chair.
Presented by Prof. Jeb Willenbring and Dr. Rebecca Bourn, required for all new Graduate Students.
On the Combinatorics of Restricted Skew Dyck Paths Menalu Mekcha Graduate Student University of Wisconsin-Milwaukee This thesis studies the enumerative combinatorics of skew and restricted Dyck path families. Beginning with classical Dyck paths, non-decreasing Dyck paths, and domino tilings, we …
Convergences groups and Gromov Hyperbolic Spaces Monica Cabria Graduate Student University of Wisconsin-Milwaukee This thesis investigates the relationship between convergence group actions and hyperbolic spaces. Since the 1990s, this relationship has been a significant theme in geometric group theory, revealing …
Proving a Softball Pitch Can Rise Under 60mph Through Mathematical Modeling Jerianne Bonaguidi Graduate Student University of Wisconsin-Milwaukee Many softball coaches claim that a pitcher cannot actually throw a rise ball under 60mph; they claim it is just a “high …