Preprints
- Polylogarithmic motivic Chabauty--Kim for P1 \ {0, 1, ∞}: the geometric step via resultants, (code)
With David Jarossay, David Lilienfeldt, Francesco Maria Saettone and Sa'ar Zehavi. Submitted. - Five-dimensional compatible systems and the Tate conjecture for elliptic surfaces,
With Lian Duan and Xiyuan Wang. Submitted. - Maximal stable lattices in representations over discretely valued fields,
With Amit Ophir. Submitted. - On the Lang–Trotter conjecture for Siegel modular forms,
With Arvind Kumar and Moni Kumari. Submitted.
Papers
- Rank growth of elliptic curves over N-th root extensions,
With Ari Shnidman. Transactions of the AMS, 2023. - On Ribet's Lemma for GL2 modulo prime powers,
With Amit Ophir. Research in the Mathematical Sciences, 2024. - Ranks of abelian varieties in cyclotomic twist families,
With Ari Shnidman. To appear in Algebra and Number theory. - Elements of prime order in Tate-Shafarevich groups of abelian varieties over ℚ,
With Ari Shnidman. Forum of Mathematics, Sigma, 2022. - Lafforgue pseudocharacters and parities of limits of Galois representations,
With Tobias Berger, manuscripta mathematica, 2022. - On the images of Galois representations attached to low weight Siegel modular forms,
Journal of the LMS, 2022.
Other writing
- On Galois representations associated to low weight Hilbert–Siegel modular forms – my PhD thesis.
- Serre’s Conjecture - my Part III essay, supervised by Prof. Jack Thorne.