*p-adic families of automorphic forms in the mu-ordinary setting.*With E. Mantovan. 45 pages. Submitted. Most recently updated in December 2017. Slightly older version here: http://arxiv.org/pdf/1710.01864.pdf. First posted in October 2017.*Nonvanishing theorems for twisted L-functions on unitary groups.*For most recent version (updated January 21, 2018), click on title above. For (older) arXiv version, visit http://arxiv.org/pdf/1708.04026.pdf. This paper demonstrates how new results on nonvanishing can be obtained by combining decades-old methods from Iwasawa theory with the output of new machinery.*p-adic L-functions for unitary groups.*With M. Harris, J.-S. Li, and C. Skinner. 135 pages. Submitted. This paper completes the construction of p-adic L-functions for unitary groups. It contains both Part II and Part III. For an overview of the key ingredients in the construction, I recommend these slides: slides*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.

Edited Volume

Research Papers

**Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop**. Editors: E. Eischen, L. Long, R. Pries, K. Stange. 339 pages. Springer International Publishing (2016).