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
- Criteria for the integrality of nth roots of power series
John Pomerat, Armin Straub — Acta Arithmetica — to appear — 2024 - Gessel-Lucas congruences for sporadic sequences
Armin Straub — Monatshefte für Mathematik — Volume 203, 2024, Pages 883-898 - On the representability of sequences as constant terms
Alin Bostan, Armin Straub, Sergey Yurkevich — Journal of Number Theory — Volume 253, 2023, Pages 235-256 - 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 — Volume 2023, Number 11, 2023, Pages 9861-9879
Recent talks
- An invitation to constant term sequences (Penn State)
2024/06/08 — The Legacy of Ramanujan 2024: Celebrating the 85th birthdays of George Andrews & Bruce Berndt (Penn State University) - On the representability of sequences as constant terms (Cologne)
2024/03/11 — International Conference on Modular Forms and q-Series (University of Cologne) - An invitation to constant term sequences (Clifford Lectures)
2024/02/25 — Clifford Lectures 2024: The Web of Modularity (Tulane University) - Automatic Lucas-type congruences (ACA 2023)
2023/07/19 — ACA 2023 (Applications of Computer Algebra), Session on D-Finite Functions and Beyond: Algorithms, Combinatorics, and Arithmetic (Warsaw, Poland) - Sums of powers of binomials, their Apéry limits, and Franel's suspicions (Dalhousie)
2022/10/06 — Mathematics Colloquium (Dalhousie University)