- Improv-ing a Mathematician's Professional Skills. An article I wrote for the Dec 2016/Jan 2017 issue of MAA FOCUS, the Mathematical Association of America's newsmagazine, about the impact of improv training on my professional development.

- Moving Ahead in Your Research. An article I wrote for the Early Career section of the February 2019 Notices of the American Mathematical Society ("the world's most widely read magazine aimed at professional mathematicians") about the process of doing research in mathematics.

- A blogpost I wrote for SAMSI describing the the first NSF/NIH "Innovation Lab" about a new interdisciplinary program in biomedical data science.

*Entire theta operators at unramified primes.*With E. Mantovan. 42 pages. Last updated January 2021.

Older version here: https://arxiv.org/pdf/2002.09450.pdf*Archimedean zeta integrals for unitary groups.*With Z. Liu. 29 pages. Last updated June 2020.*Differential operators mod p: analytic continuation and consequences.*With M. Flander, A. Ghitza, E. Mantovan, and A. McAndrew. 34 pages. Accepted for publication in Algebra & Number Theory.*An Introduction to Eisenstein Measures.*25 pages. Accepted for publication in Journal de Théorie des Nombres de Bordeaux.*p-adic families of automorphic forms in the mu-ordinary setting.*With E. Mantovan. American Journal of Mathematics, 143 (2021), No. 1, 1-52.*p-adic L-functions for unitary groups.*With M. Harris, J.-S. Li, and C. Skinner. Forum of Mathematics, Pi, 8 (2020), E9, 160 pages.*Applications of nonarchimedean developments to archimedean nonvanishing results for twisted L-functions.*Math. Res. Lett. 27 (2020), no. 4, 973-1002.*A Gallery of Gaussian Periods.*With S. Garcia. Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture. Carolyn Yackel, Robert Bosch, Eve Torrence, and Kristóf Fenyvesi, eds., Tessellations Publishing (2020), 243–248.*Bootstrapping estimates of stability for clusters, observations, and model selection.*H. Yu, B. Chapman, A. Di Florio, E. Eischen, D. Gotz, M. Jacob, and R. Hageman Blair. Computational Statistics. Vol. 34 (2019), Issue 1, 349-372.*Differential operators and families of automorphic forms on unitary groups of arbitrary signature.*With J. Fintzen, E. Mantovan, and I. Varma. Doc. Math. 23 (2018), 445-495.*p-adic L-Functions of Finite Slope Forms on Unitary Groups and Eisenstein Series.*With X. Wan. J. Inst. Math. Jussieu. Vol. 15 (2016), 471-510.*Differential operators, pullbacks, and families of automorphic forms.*Annales Mathematiques du Quebec. Vol. 40. Issue 1 (2016), 55-82.*p-adic q-expansion principles on unitary Shimura varieties.*With A. Caraiani, J. Fintzen, E. Mantovan, and I. Varma. Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop. Springer International Publishing (2016), 197-243.*A p-adic Eisenstein Measure for Unitary Groups.*J. Reine Angew. Math. 699 (2015), 111–142.*A p-adic Eisenstein measure for vector-weight automorphic Forms.*Algebra & Number Theory. Vol. 8 (2014), No. 10, 2433-2469.*p-adic differential operators on automorphic forms on unitary groups.*Annales de l’Institut Fourier. Volume 62, No. 1 (2012), 177-243.

This paper is based on my dissertation:*p-adic Differential Operators on Automorphic Forms and Applications.*ProQuest LLC, Ann Arbor, MI. (2009), 130 pages.*Decomposition of almost complete tripartite graphs into two isomorphic factors of fixed diameter.*Discrete Mathematics. 306 (2006), 745-761.*Patterns, linesums, and symmetry.*With C. Johnson, K. Lange, and D. Stanford. Linear Algebra and its Applications. 357 (2002), 273-289.

Associated app: Gaussian Periods

Associated R package: bootcluster

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Research Papers

Current: Associate Editor, Research in Number Theory

Previous: Co-editor of Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop. Springer International Publishing (2016).

Editorial Work