Assistant 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
- Gauss congruences for rational functions in several variables
Frits Beukers, Marc Houben, Armin Straub — Preprint — 2017 - Sequences, modular forms and cellular integrals
Dermot McCarthy, Robert Osburn, Armin Straub — Preprint — 2017 - A modular supercongruence for 6F5: An Apéry-like story
Robert Osburn, Armin Straub, Wadim Zudilin — Preprint — 2017 - Ramanujan's Formula for ζ(2n+1)
Bruce C. Berndt, Armin Straub — Chapter 2 of the book: Exploring the Riemann Zeta Function (Springer) — Editors: H. Montgomery, A. Nikeghbali, and M. Rassias — 2017, Pages 13-34 - Crouching AGM, hidden modularity
Shaun Cooper, Jesús Guillera, Armin Straub, Wadim Zudilin — to appear as Chapter 9 of the book: Frontiers in Orthogonal Polynomials and q-Series (World Scientific) — Editors: Z. Nashed and X. Li — 2018
Recent talks
- A modular supercongruence for 6F5: An Apéry-like story
2017/09/17 — Palmetto Number Theory Series (PANTS XXVIII) (University of Tennessee) - Congruences connecting modular forms and truncated hypergeometric series
2017/07/31 — SIAM Conference on Applied Algebraic Geometry, Minisymposium on Symbolic Combinatorics (Georgia Tech) - A gumbo with hints of partitions, modular forms, special integer sequences and supercongruences (Illinois)
2017/03/16 — Number Theory Seminar (University of Illinois at Urbana-Champaign) - Core partitions into distinct parts and an analog of Euler's theorem (JMM)
2017/01/06 — AMS Joint Meetings 2017, Special Session on Partition Theory and Related Topics (Atlanta) - Core partitions into distinct parts and an analog of Euler's theorem (Integers 2016)
2016/10/06 — Integers Conference 2016 (University of West Georgia)