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
- Interpolated sequences and critical L-values of modular forms
Robert Osburn, Armin Straub — Preprint — 2018 - Diagonal asymptotics for symmetric rational functions via ACSV
Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle, Armin Straub — Preprint — 2018 - Supercongruences for polynomial analogs of the Apéry numbers
Armin Straub — Preprint — 2018 - Gaussian binomial coefficients with negative arguments
Sam Formichella, Armin Straub — Preprint — 2018 - Short walk adventures
Wadim Zudilin, Armin Straub — Preprint (in memory of Jon Borwein) — 2018
Recent talks
- Gauss congruences
2018/05/08 — International Conference on Mathematics and Statistics (ICOMAS 2018), Special Session on Analytic Number Theory (University of Memphis) - Properties of Laurent coefficients of multivariate rational functions
2017/11/14 — Workshop on Computer Algebra in Combinatorics (Erwin Schroedinger Institute, Vienna) - 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)