Research

Preprints

1. Distinguishing Siegel modular forms,
   With Arvind Kumar. Preprint.

2. 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.

3. Five-dimensional compatible systems and the Tate conjecture for elliptic surfaces,
   With Lian Duan and Xiyuan Wang. Submitted.

4. Maximal stable lattices in representations over discretely valued fields,
   With Amit Ophir. Submitted.

5. On the Lang–Trotter conjecture for Siegel modular forms,
   With Arvind Kumar and Moni Kumari. Submitted.

Publications

1. Rank growth of elliptic curves over N-th root extensions,
   With Ari Shnidman. Transactions of the AMS, 2023.

2. On Ribet's Lemma for GL2 modulo prime powers,
   With Amit Ophir. Research in the Mathematical Sciences, 2024.

3. Ranks of abelian varieties in cyclotomic twist families,
   With Ari Shnidman. Algebra & Number Theory, 2025

4. Elements of prime order in Tate-Shafarevich groups of abelian varieties over ℚ,
   With Ari Shnidman. Forum of Mathematics, Sigma, 2022.

5. Lafforgue pseudocharacters and parities of limits of Galois representations,
   With Tobias Berger, manuscripta mathematica, 2022.

6. 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.