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

- Diagonal asymptotics for symmetric rational functions via ACSV

Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle, Armin Straub — Preprint — 2018 - Supercongruences for polynomial analogs of the Apéry numbers

Armin Straub — Preprint — 2018 - Gaussian binomial coefficients with negative arguments

Sam Formichella, Armin Straub — Preprint — 2018 - Short walk adventures

Wadim Zudilin, Armin Straub — Preprint (in memory of Jon Borwein) — 2018 - Gauss congruences for rational functions in several variables

Frits Beukers, Marc Houben, Armin Straub — Preprint — 2017

## Recent talks

- Gauss congruences

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

2017/11/14 — Workshop on Computer Algebra in Combinatorics (Erwin Schroedinger Institute, Vienna) - A modular supercongruence for 6F5: An Apéry-like story

2017/09/17 — Palmetto Number Theory Series (PANTS XXVIII) (University of Tennessee) - Congruences connecting modular forms and truncated hypergeometric series

2017/07/31 — SIAM Conference on Applied Algebraic Geometry, Minisymposium on Symbolic Combinatorics (Georgia Tech) - A gumbo with hints of partitions, modular forms, special integer sequences and supercongruences (Illinois)

2017/03/16 — Number Theory Seminar (University of Illinois at Urbana-Champaign)