Illinois Number Theory Seminar, Spring 2015

 

Schedule of talks

Date

Speaker

Title

Thursday, Jan 22Bruce Reznick (UIUC)1. Iteration of an arithmetic function & 2. Pointwise multiplication in the Cantor set
Thursday, Jan 29Sunil Chebolu (Illinois State)When is the multiplicative group of a field indecomposable?
Thursday, Feb 5Kevin Ford (UIUC)Larger gaps between consecutive prime numbers
Thursday, Feb 12Arindam Roy (UIUC)New Pathways and Connections in Analysis and Analytic Number Theory Motivated by Two Incorrect Claims of Ramanujan
Thursday, Feb 19Karl Dilcher (Dalhousie University)The multiplicative orders of certain Gauss factorials

Thursday, Feb 26

Robert Rhoades (Center for Communications Research)

Mock theta functions and their ghosts

Thursday, Mar 5Michael Zieve (University of Michigan)

A classification of non-generic rational functions, with applications

Tuesday, Mar 10Daniel Hirsbrunner (Penn State)Asymptotics of Multidimensional Partitions
Thursday, Mar 12Scott Ahlgren (UIUC)

Exact formulas for the smallest parts function

Thursday, Mar 19Atul Dixit (Tulane University)Partitions associated with three third order mock theta functions
Thursday, Apr 2Maksym Radziwill (Rutgers University)Around the Mobius function
Thursday, Apr 9

Byron Heersink (UIUC)

An effective asymptotic result for the Lebesgue measure of the sum-level sets for continued fractions

Thursday, Apr 16Heekyoung Hahn (Duke Univ.)

Relative trace formula and relative Weyl laws

Tuesday, Apr 21

Xinhua Xiong (China Three Gorges University)

The overpartition function modulo 16 revived

Thursday, Apr 23Francesco Cellarosi (UIUC)

Quadratic Weyl sums, Automorphic Functions, and Invariance Principles

Thursday, Apr 30Dimitrios Koukoulopoulos (Univ. Montreal)

Sums of Euler products and statistics of elliptic curves

Thursday, May 7

Kate Stange (Univ. Colorado, Boulder)

The Apollonian structure of imaginary quadratic fields