### Research Focus

Number theory and representation theory

### Publications

- Density of Selmer ranks in families of even Galois representations, Wiles’ formula, and global reciprocity, arXiv:2301.09760, accepted for publication in Journal of Number Theory.
- Level-raising of even representations of tetrahedral type and equidistribution of lines in the projective plane, arxiv:2310.14352, preprint.
- Existence of p-adic representations and flatness of even deformation rings in balanced global settings of rank one, arxiv.org/abs/2309.01871, preprint.