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

- Identities for Bernoulli polynomials related to multiple Tornheim zeta functions

Karl Dilcher, Armin Straub, Christophe Vignat — Journal of Mathematical Analysis and Applications — Volume 476, Number 2, 2019, Pages 569-584 - An algorithmic approach to the Polydegree Conjecture for plane polynomial automorphisms

Drew Lewis, Kaitlyn Perry, Armin Straub — Journal of Pure and Applied Algebra — Volume 223, Number 12, 2019, Pages 5346-5359 - 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

## Recent talks

- On the Gaussian binomial coefficients, the simplest of q-series (Berndt80)

2019/06/07 — Analytic and Combinatorial Number Theory: The Legacy of Ramanujan (in honor of Bruce Berndt's 80th birthday) (University of Illinois at Urbana-Champaign) - Interpolated sequences and critical L-values of modular forms (LSU)

2019/04/14 — Southern Regional Number Theory Conference: Modular Curves, Modular Forms, and Hypergeometric Functions (Louisiana State University) - The congruences of Fermat, Euler, Gauss and stronger versions thereof (LSU)

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)