Number Theory and Combinatorics Seminar

UT Tyler

The UT Tyler Number Theory and Combinatorics Seminar meets weekly via Zoom. If you are interested in attending or presenting, please email Prof. Maddie Dawsey at mdawsey@uttyler.edu.

Fall 2024 Schedule

Date	Speaker	Title
October 23	Ankush Goswami, UTRGV	Strange identities, the Habiro ring and resurgence
November 7	Jeffery Opoku, UTRGV	Quotients of the Rogers-Ramanujan functions modulo $p$

Spring 2024 Schedule

Date	Speaker	Title
March 26	Taylor Daniels, Purdue University	Signed partition numbers
April 9	Dermot McCarthy, Texas Tech University	Finite field hypergeometric functions and applications to graph theory
April 16	Robert Schneider, Michigan Tech University	Multiplicative theory of integer partitions
April 23	Debanjana Kundu, UT Rio Grande Valley	An analogue of Hilbert's 10th problem

Fall 2023 Schedule

Date	Speaker	Title
August 29	Rahul Kumar, Penn State University	Kronecker limit formulas and associated special functions
September 19	Michael Hanson, University of North Texas	Ramanujan congruences for overpartitions with restricted odd differences
September 26	Badri Pandey, University of Cologne	Biases among classes of rank-crank partitions (mod 11)
October 3	Hannah Burson, University of Minnesota	Hook length bias in odd versus distinct partitions
October 10	Dana Neidmann and Pierce Mason, Centre College	Cycles in directed graphs from natural exact covering systems
October 17	Joshua Stucky, University of Georgia	The average number of divisors of gcd(n,\phi(n))
October 24	Avi Mukhopadhyay, University of Florida	Combinatorial Proof of an Identity of Berkovich and Uncu
October 31	Grace Jaffe, Oberlin College	Bound and Rebound: A Tragicomedy in n ≥ 4 Parts
November 7	Matthew Kroesche, Texas A&M University	Low-Lying Zeros of a Thin Family of Automorphic L-Functions in the Level Aspect
November 14	Walter Bridges, University of Cologne	Methods in asymptotic statistics for partitions

Spring 2023 Schedule

Date	Speaker	Title
January 31	Eleanor McSpirit, University of Virginia	Zeros in the character tables of symmetric groups with l-core index
February 6	Hunter Handley, Baylor University	Discrete m-functions with Doubly Palindromic Continued Fraction Coefficients
February 13	Hasan Saad, University of Virginia	New results in arithmetic statistics
February 20	Emily Heath, Iowa State University	The Erdos-Gyarfas problem on generalized Ramsey numbers
February 27	Boya Wen, Simons Laufer Mathematical Sciences Institute	Green's functions for local systems over graphs
March 6	Katie Anders, UT Tyler	Early results on which integers can be written as quotients of sums of distinct powers of three
April 10	Maria Del Rosario Valencia Arevalo, UT Rio Grande Valley	Congruences for quotients of Rogers-Ramanujan functions

Fall 2022 Schedule

Date	Speaker	Title
September 12	Jackson Morrow, UC Berkeley	Sporadic cubit torsion
September 20	Joseph Vandehey, UT Tyler	Digital problems in partitions
September 27	Victor Souza, Cambridge University	Blowup Ramsey numbers
October 4	Samuel Saunders, UT Tyler	Sequentially congruent partitions and partition ideals
October 11	Noah Lebowitz-Lockard, UT Tyler	On the ratio between two factorization functions
October 25	Samet Sarıoğlank, Hacettepe University	The universal difference property on complete graphs
November 1	Lea Beneish, UC Berkeley	Degree d points on plane curves
November 8	Ankush Goswami, UT Rio Grande Valley	Asymptotics and sign patterns for coefficients in expansions of Habiro elements
November 15	Jeremiah Bartz, University of North Dakota	A balancing partition game

Spring 2022 Schedule

Date	Speaker	Title
January 20	Maddie Dawsey, UT Tyler	A new partition statistic and applications
January 27	Jena Gregory, UT Rio Grande Valley	Iterated generalized Rascal triangles
February 3	Tim Huber, UT Rio Grande Valley	Ramanujan type congruences, polytopes, and Klein forms
February 10	Joseph Vandehey, UT Tyler	Continued fractions...in the octonions!?
February 17	Anna Weigandt, MIT	The Castelnuovo-Mumford regularity of matrix Schubert varieties
February 24	Florin Boca, UIUC	Distribution of reduced quadratic irrationals
March 3	Hannah Burson, University of Minnesota	A new family of partition-theoretic objects
March 17	Hayan Nam, Duksung Women's University	Several types of core partitions and related objects
March 24	Nick Andersen, Brigham Young University	The Hardy-Ramanujan-Rademacher formula for the partition function
March 31	Ryan Moruzzi, Cal State East Bay	Zero forcing and graph complements
April 14	Michael Penn, Randolph College	Vertex operator algebras and permutations
April 21	Simone Sisneros-Thiry, Cal State East Bay	Refined counting of core partitions into d-distinct parts
April 28	Andrew Alaniz, UT Rio Grande Valley	Some new analogies in the local Langlands program

Fall 2021 Schedule

Date	Speaker	Title
September 2	Brandt Kronholm , UT Rio Grande Valley	The unimodularity of Gaussian polynomials
September 9	Katie Anders, UT Tyler	Graphs admitting only constant splines over ℤ_m
September 16	Joseph Vandehey , UT Tyler	Borel complexity of continued fraction normal, absolutely abnormal numbers
September 23	Dana Neidinger, UIUC	Directed graphs from exact covering systems and non-standard digital representations of integers
September 30	Jeremiah Bartz, University of North Dakota	Good things come in threes
October 7	Rahul Kumar, Indian Institute of Technology	Theory of a zeta function arising from modular relations
October 14	Claire Merriman, Ohio State	Cutting sequences of Lehner and Farey expansions
October 21	Samet Sarıoğlan, Hacettepe University	Generalized splines over principal ideal domains
October 28	Grace Jaffe, UIUC	A Frobenius perspective on the Stern sequence
November 4	Ankush Goswami, Indian Institute of Technology	Partial theta series with periodic coefficients and quantum modular forms
November 11	W.A. Zuniga-Galindo, UT Rio Grande Valley	Local zeta functions and string amplitudes, Part I
November 18	W.A. Zuniga-Galindo, UT Rio Grande Valley	Local zeta functions and string amplitudes, Part II