I am currently thinking about decidability of S-adic numbers, Ihara avoidance in potential automorphy, and some basic p-adic Hodge Theory.
Publications
- A Note on Minimal Additive Complements. Discrete Mathematics 342 (2019), 1912-1918.
- (with Megumi Asada, Ryan Chen, Eva Fourakis, Yujin Kim, Jared Lichtman, Blake Mackall, Steven J. Miller, Eric Winsor, Karl Winsor, Jianing Yang, and Kevin Yang) Lower-Order Biases in Second Moments of Dirichlet Coefficients in Families of L-Functions. Experimental Mathematics, 32 (3), 431-456.
Preprints
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Convergent Decomposition Groups and the S-adic Shafarevich Conjecture, preprint available upon request.
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A Note on Diophantine Subsets of Large Fields, preprint available upon request.