Assistant Professor

**Academic family:**

- Bruce C. Berndt — postdoc mentor (University of Illinois at Urbana-Champaign)
- Victor H. Moll — phd advisor (Tulane University)
- Jonathan M. Borwein — phd co-advisor (University of Newcastle)

Previously, I was a J. L. Doob Research Assistant Professor in the Department of Mathematics at the University of Illinois at Urbana-Champaign.

From January to December 2013, as well as in March and April of 2015, I visited the Max Planck Institute for Mathematics.

## Research interests

Analytic number theory, special functions, symbolic and numerical computation, enumerative combinatorics

More specifically, objects of particular interest include

- Apéry-like numbers and their properties, particularly supercongruences,
- modular forms and arithmetic differential equations,
- hypergeometric functions, multiple polylogarithms and Mahler measure.

## Recent publications

- An algorithmic approach to the Polydegree Conjecture for plane polynomial automorphisms

Drew Lewis, Kaitlyn Perry, Armin Straub — Preprint — 2018 - Interpolated sequences and critical L-values of modular forms

Robert Osburn, Armin Straub — Chapter 14 of the book: Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory (Springer) — Editors: J. Blümlein, P. Paule, and C. Schneider — 2019, Pages 327-349 - Supercongruences for polynomial analogs of the Apéry numbers

Armin Straub — Proceedings of the American Mathematical Society — Volume 147, 2019, Pages 1023-1036 - Diagonal asymptotics for symmetric rational functions via ACSV

Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle, Armin Straub — Leibniz International Proceedings in Informatics — Analysis of Algorithms 2018 — Volume 110, 2018, Pages 12:1-12:15 - Gaussian binomial coefficients with negative arguments

Sam Formichella, Armin Straub — Preprint — 2018

## Recent talks

- The congruences of Fermat, Euler, Gauss and stronger versions thereof

2018/10/22 — Algebra and Number Theory Seminar (Louisiana State University) - Supercongruences for polynomial analogs of the Apéry numbers (Integers 2018)

2018/10/05 — Integers Conference 2018 (University of Augusta) - Gauss congruences (Andrews80)

2018/06/21 — Combinatory Analysis 2018 (in honor of George Andrews' 80th birthday) (Penn State University) - Gauss congruences (Memphis)

2018/05/08 — International Conference on Mathematics and Statistics (ICOMAS 2018), Special Session on Analytic Number Theory (University of Memphis) - Properties of Laurent coefficients of multivariate rational functions (ESI)

2017/11/14 — Workshop on Computer Algebra in Combinatorics (Erwin Schroedinger Institute, Vienna)