50 citations · 143 across the 21 of their papers we have counts for
4 papers · 2 filters
Comparing arithmetic intersection formulas for denominators of Igusa class polynomials
Jacqueline Anderson, Jennifer S. Balakrishnan, Kristin Lauter +2
Bruinier and Yang conjectured a formula for intersection numbers on an arithmetic Hilbert modular surface, and as a consequence obtained a conjectural formula for CM(K).G_1 under s…
A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties
Jennifer S. Balakrishnan, J. Steffen Müller, William A. Stein
Mazur, Tate, and Teitelbaum gave a p-adic analogue of the Birch and Swinnerton-Dyer conjecture for elliptic curves. We provide a generalization of their conjecture in the good ordi…
A non-abelian conjecture of Tate-Shafarevich type for hyperbolic curves
Jennifer Balakrishnan, Ishai Dan-Cohen, Minhyong Kim +1
We state a conjectural criterion for identifying global integral points on a hyperbolic curve over in terms of Selmer schemes inside non-abelian cohomology functors wi…
Coleman-Gross height pairings and the -adic sigma function
Jennifer S. Balakrishnan, Amnon Besser
We give a direct proof that the Mazur-Tate and Coleman-Gross heights on elliptic curves coincide. The main ingredient is to extend the Coleman-Gross height to the case of divisors…