Hi, I'm Prof. William Craig

I am currently an Assistant Professor at the United States Naval Academy. My areas of interest are combinatorics and number theory, in particular the areas of partitions, q-series and modular forms. I am currently most interested in asymptotic properties of partition statistics and new ideas developing from MacMahon's partition functions, q-multiple zeta values, and quasimodular forms.

I often attend the Michigan Tech Specialty Seminar on Partitions and q-series and Related Topics via Zoom.

Upcoming Travel and Speaking

July 14 - July 18, 2025 - University of Cologne (Cologne, Germany)
October 3 - October 5, 2025 - AMS Southeastern Sectional Meeting (New Orleans, LA)
March 16 - March 20, 2026 - Modular Forms and Multiple Zeta Values (Honolulu, HI)

Selected Research

K. Bringmann, W. Craig, C. Nazaroglu. Precision asymptotics for partitions featuring false-indefinite theta functions. Submitted for publication.
W. Craig, J.-W. van Ittersum, K. Ono. Integer partitions detect the primes. Proceedings of the National Academy of Sciences, USA 121, 39 (2024), e2409417121. (arxiv) (Quanta) (Nat. Acad. Sci. Cozzarelli Prize) (Scientific American)
J. Balakrishnan, W. Craig, K. Ono, W-L. Tsai. Variants of Lehmer's speculation for newforms. Advances in Mathematics 428, 1 (2023). (arxiv)

Get in touch: wcraig[at]usna[dot]edu

Office: Chauvenet Hall 362 Phone: 410-293-0123 (ext. 36785)

572C Holloway Road, Annapolis, MD 21402

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