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 — Volume 8, Number 3, 2022, Pages 1-21, #42 - 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 — Advances in Applied Mathematics — Volume 141, 2022, Pages 1-20, #102409 - 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

- Gaussian binomial coefficients with negative arguments (South Alabama)

2022/09/29 — Mathematics Colloquium (University of South Alabama) - Sums of powers of binomials, their Apéry limits, and Franel's suspicions (RISC)

2022/09/18 — AMS Fall Central Sectional Meeting, Special Session on The Intersection of Number Theory and Combinatorics (University of Texas at El Paso) - Sums of powers of binomials, their Apéry limits, and Franel's suspicions (RISC)

2022/07/01 — Joint Seminar: MATHEXP-PolSys & Transcendence and Combinatorics (Inria Saclay & Sorbonne University, Paris) - Lucas congruences and congruence schemes (Vienna)

2022/06/10 — Combinatorics Seminar (University of Vienna) - Sums of powers of binomials, their Apéry limits, and Franel's suspicions (RISC)

2022/04/27 — Algorithmic Combinatorics Seminar (RISC, Johannes Kepler University, Linz)