*Archimedean zeta integrals for unitary groups.*With Z. Liu. 29 pages. Last updated June 2020.*An Introduction to Eisenstein Measures.*23 pages. Last updated April 2020.*Entire theta operators at unramified primes.*With E. Mantovan. 42 pages. Last updated February 2020.*Differential operators mod p: analytic continuation and consequences.*With M. Flander, A. Ghitza, E. Mantovan, and A. McAndrew. 29 pages. Last updated November 2019.*p-adic families of automorphic forms in the mu-ordinary setting.*With E. Mantovan. 44 pages. Accepted for publication in the American Journal of Mathematics.*Applications of nonarchimedean developments to archimedean nonvanishing results for twisted L-functions.*20 pages. Accepted for publication in Mathematical Research Letters.*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.*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

Research Papers