64 citations · 268 across the 40 of their papers we have counts for
13 papers · 2 filters
Singular moduli refined
Benjamin Howard, Tonghai Yang
We prove a refinement of the results of Gross and Zagier on prime factorizations of singular moduli.
Intersection theory on Shimura surfaces II
Benjamin Howard
This is the third of a series of papers relating intersections of special cycles on the integral model of a Shimura surface to Fourier coefficients of Hilbert modular forms. More p…
Deforming endomorphisms of supersingular Barsotti-Tate groups
Benjamin Howard
The formal deformation space of a supersingular Barsotti-Tate group over of dimension two equipped with an action of Z_{p^2} is known to be isomorphic to the formal spectrum of a p…
Intersection theory on Shimura surfaces
Benjamin Howard
Kudla has proposed a general program to relate arithmetic intersection multiplicities of special cycles on Shimura varieties to Fourier coefficients of Eisenstein series. The lowes…
Twisted Gross-Zagier theorems
Benjamin Howard
The theorems of Gross-Zagier and Zhang relate the Néron-Tate heights of complex multiplication points on the modular curve X_0(N) (and on Shimura curve analogues) with the central…
Central derivatives of L-functions in Hida families
Benjamin Howard
We prove a result of the following type: given a Hida family of modular forms, if there exists a weight two form in the family whose L-function vanishes to exact order one at s=1,…