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 — to appear — 2022 - 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)
2022/07/01 — 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) - 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)