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

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

Armin Straub, Wadim Zudilin — Preprint — 2021 - 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 - Refined counting of core partitions into d-distinct parts

Hannah E. Burson, Simone Sisneros-Thiry, Armin Straub — Electronic Journal of Combinatorics — Volume 28, Number 1, 2021, Pages 1-21, #P1.37

## Recent talks

- 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) - Negative thinking and polynomial analogs (OPSFA)

2019/07/26 — 15th International Symposium on Orthogonal Polynomials, Special Functions and Applications; plenary lecture (RISC, Johannes Kepler University (AT)) - Interpolated sequences and critical L-values of modular forms (OPSFA)

2019/07/25 — 15th International Symposium on Orthogonal Polynomials, Special Functions and Applications; Minisymposium on Computer Algebra and Special Functions (RISC, Johannes Kepler University (AT)) - 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)