- Illustrating Mathematics. A review of a book featuring creations from a semester-long program on Illustrating Mathematics.

- 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 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.

*Archimedean zeta integrals for unitary groups.*With Z. Liu. 29 pages. Last updated October 2021 (fixed minor typos, updated status of references). Older version available on the arXiv.*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.*Entire theta operators at unramified primes.*With E. Mantovan. International Mathematics Research Notices, Vol. 00 (2021), No. 0, pp. 1–59.*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

Articles for Broader Audiences

Research Papers

Current:

Associate Editor, Research in Number Theory

Associate Editor, Essential Number Theory

Previous:

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

Editorial Work