A summary of my earlier work, ongoing projects and future directions can be found in my Research Statement. More details on my academic history can be found in my CV.
Since joining UVA, my research has been partially supported by the NSF grants DMS-2001605 and DMS-2302196.
A note on zero-cycles on bielliptic surfaces. Submitted (12 pages). Arxiv
Zero-cycles on quasi-projective Surfaces over p-adic Fields. Joint with Jitendra Rathore. Submitted (33 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. Submitted (27 pages) . Arxiv
Hyperelliptic curves mapping to abelian varieties and Applications to Beilinson's Conjecture for zero-cycles. Joint with Jonathan Love. Submitted (27 pages) . Arxiv
Filtrations of the Chow group of zero-cycles on abelian varieties and behavior under isogeny. Accepted for Publication in Kyoto Math Journal (20 pages). Arxiv
Torsion phenomena for zero-cycles on a product of curves over a number field. Joint with Jonathan Love. Research 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 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.