Since joining UVA, my research has been partially supported by the NSF grants DMS-2001605 and DMS-2302196.
Exactness property of Breuil-Kisin functors and Bloch-Kato Selmer groups. Joint with Pavel Čoupek and Adriano Marmora. Submitted (40 pages). Arxiv
A note on zero-cycles on bielliptic surfaces. Accepted for Publication in the Proceedings Volume of the Conference Arithmetic, K-theory and Algebraic Cycles (12 pages). Arxiv
Zero-cycles on quasi-projective Surfaces over p-adic Fields. Joint with Jitendra Rathore. Submitted (35 pages). Arxiv
Density of algebraic points on Products of Curves. Joint with Jen Berg, Yu Fu, Morena Porzio, James Rawson & Isabel Vogt. Submitted (31 pages). Arxiv
Local and local-to-global principles for zero-cycles on geometrically Kummer K3 surfaces. Joint with Jonathan Love. Annals of K-Theory 11 (2026) No. 2, p. 359--393. Arxiv. Journal Version.
Hyperelliptic curves mapping to abelian varieties and Applications to Beilinson's Conjecture for zero-cycles. Joint with Jonathan Love. Advances in Math. 487 (2026), paper No. 110746, 38 pp. Arxiv. Journal Version.
Filtrations of the Chow group of zero-cycles on abelian varieties and behavior under isogeny. Accepted for Publication in Kyoto Math Journal (20 pp.). Arxiv
Torsion phenomena for zero-cycles on a product of curves over a number field. Joint with Jonathan Love. Research in Number Theory 10 (2024), no. 2, Paper No. 35, 20 pp. Arxiv. Journal version.
Weak Approximation for 0-cycles on a product of elliptic curves. With an Appendix by Angelos Koutsianas. Math. Annalen 388 (2024) , no. 2, p. 1539-1568. Arxiv. Journal version.
Abelian geometric fundamental groups for curves over a p-adic field. Joint with Toshiro Hiranouchi. Journal de Théorie des Nombres de Bordeaux. Tome 35, no.3 (2023), p. 905-943. Arxiv. Journal version.
Zero-cycles on a product of elliptic curves over a p-adic field. Joint with Isabel Leal. International Mathematics Research Notices 2022 (2021), no 14, p. 10586-10625. Arxiv. Journal version.
Divisibility Results for zero-cycles. Joint with Toshiro Hiranouchi. European Journal of Math 7, p. 1458–1501 (2021). Arxiv. Journal version.
A Tate duality theorem for local Galois symbols II; the semi-abelian case. Journal of Number theory 204 (2019), p. 532-560. Arxiv. Journal version.
Some results about zero-cycles on abelian and semi-abelian varieties. Math. Nachrichten 292 (2019) no. 8, p. 1716-1726. Arxiv. Journal version.
A finer Tate duality theorem for local Galois symbols. Journal of Algebra 509 (2018), p. 337-385. Arxiv. Journal version.
The local symbol complex of a Reciprocity Functor. Annals of K-theory Issue 1-3 (2016), p. 317-338. Arxiv. Journal version.
On a filtration of CH_0 for an abelian variety. Compositio Math. 151 (2015), p. 435-460. Arxiv. Journal version.
Here is a copy of my Thesis.
VaNTAGe Seminar October 2024. Hyperelliptic Curves mapping to Abelian Surfaces and Applications to Beilinson's Conjecture for 0-cycles.