Associate 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

- On congruence schemes for constant terms and their applications

Armin Straub — Research in Number Theory — to appear — 2022 - Sums of powers of binomials, their Apéry limits, and Franel's suspicions

Armin Straub, Wadim Zudilin — International Mathematics Research Notices — to appear — 2022 - Generalized Lucas congruences and linear p-schemes

Joel A. Henningsen, Armin Straub — Preprint — 2021 - Apéry limits: Experiments and proofs

Marc Chamberland, Armin Straub — American Mathematical Monthly — Special issue in memory of Jonathan Borwein — Volume 128, Number 9, 2021, Pages 811-824 - A triple integral analog of a multiple zeta value

Tewodros Amdeberhan, Victor H. Moll, Armin Straub, Christophe Vignat — International Journal of Number Theory — Volume 17, Number 2, 2021, Pages 223-237

## Recent talks

- Sums of powers of binomials, their Apéry limits, and Franel's suspicions (RISC)

2022/04/27 — Algorithmic Combinatorics Seminar (RISC, Johannes Kepler University, Linz) - Lucas congruences and congruence schemes (RISC)

2022/04/25 — RISC Colloquium (RISC, Johannes Kepler University, Linz) - Sums of powers of binomials, their Apéry limits, and Franel's suspicions (LSU)

2022/03/13 — Southern Regional Number Theory Conference (Louisiana State University) - Gaussian binomial coefficients with negative arguments

2020/11/02 — International Conference on Mathematical Analysis and Applications (MAA 2020) (National Institute of Technology Jamshedpur (IND)) - Interpolated sequences and critical L-values of modular forms (Gainesville)

2019/11/03 — AMS Fall Southeastern Sectional Meeting, Special Session on Partition Theory and Related Topics (University of Florida)