I am interested in algebraic number theory and representation theory. More specifically, I have worked on Galois representations, automorphic forms, reductive groups and their representations. I like to think about analogues of representation-theoretic tools and ideas for Galois representations valued in arbitrary reductive groups.

My papers and preprints:

A note on Galois representations valued in reductive groups with open image (submitted).

Congruences like Atkin’s for the partition function, joint with Scott Ahlgren and Patrick Allen (submitted).

Motivic Galois representations valued in spin groups, Journal de Theorie des Nombres de Bordeaux, Tome 33 (2021) no. 1, pp. 197-221.

Potential automorphy of GSpin_{2n+1}-valued Galois representations, joint with Stefan Patrikis. Mathematische Zeitschrift. (2021).

Algebraic monodromy groups of G-valued \ell-adic Galois representations, Algebra Number theory, Vol.13, No.6, 1353-1394 (2019).

Action of intertwining operators on pseudospherical K-types, Pacific Journal of Mathematics, Vol. 286, No. 1, 2017.

Principal series representations of metaplectic groups, arXiv preprint.

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