(Photo courtesy of the University of Virginia)

- Craig W.
**On the Distribution of Parts into Congruence Classes in Partitions with Distinct Parts**. In Preparation. - Cesana G, Craig W, and Males J.
**Asymptotic Equidistribution of Families of Partitions**. In Preparation. - Bringmann K, Craig W, Males J, Ono K.
**Distributions on Partitions Arising from Hilbert Schemes and**. Submitted. (arxiv)*t*-hooks - Balakrishnan J, Craig W, Ono K, Wei-Lun T.
**Variants of Lehmer's speculation for newforms**. Submitted. (arxiv) - Craig W, Pun A.
**Distribution properties for**.*t*-hooks in partitions*Annals of Combinatorics*, 2021. (Published Version) (arxiv) - Craig W, Pun A.
**A Note on the higher order Turán inequalities for**.*k*-regular partitions*Research in Number Theory*, Volume 7 Issue 1, 2021. (Published Version)(arxiv)Note: Hermite's criterion on page 2 is not stated correctly. It should be ``

*f*is hyperbolic if and only if*M(f)*is positive definite." The error has no bearing on any results in the paper. - Craig W, Linnell P.
**Unique product groups and congruence subgroups**.*Journal of Algebra and Its Applications*. (Published Version) (arxiv) - Balakrishnan J, Craig W, Ono K, Tsai W-L.
**Variations of Lehmer's Conjecture for Ramanujan's tau-function**, J. Number Theory (JNT PRIME), 2020. (Published Version) (arxiv) - Craig W.
**Ketchup Science**, Math Horizons (April 2018), p. 16-17. (Published Version)

- March 2021,
**Research in Number Theory**. UVA Open House. - March 2021,
**Lightning Talk on Research in Number Theory**. UVA Undergraduate Math Club. - November 2020,
**Variants of Lehmer's Conjecture**. Vanderbilt University Number Theory Seminar. - October 2020,
**Distribution of t-hooks in partitions**. AMS Eastern Sectional Meeting, Special Session in q-Series and Related Areas in Combinatorics and Number Theory. - July 2020,
**Higher order Turán inequalities for**. International conference series on Formal Power Series and Algebraic Combinatorics (Poster Session).*k*-regular partitions - December 2019,
**Summing up to 2019**. UVA Undergraduate Math Club. - November 2019,
**Introduction to Peter Sarnak's Virginia Mathematical Lectures**(with Spencer Martin). UVA Graduate Student Seminar. - August 2018,
**Quiver Hall-Littlewood Functions and Kostka-Shoji Polynomials**. MAA MathFest 2018, Denver, Pi Mu Epsilon Speaker Sessions. - August 2018,
**Unique Product Groups and the Zero Divisor Conjecture**. MAA MathFest 2018, Denver, MAA Undergraduate Student Paper Sessions. - March 2018,
**On Repeated Prime Divisors of Trinomial Discriminants**. Southeastern Regional Meeting on Numbers, East Tennessee State University.