4 papers
On Unbiased Low-Rank Approximation with Minimum Distortion
Leighton Pate Barnes, Stephen Cameron, Benjamin Howard
We describe an algorithm for sampling a low-rank random matrix that best approximates a fixed target matrix in the following sense: is unbiased…
Higher Siegel--Weil formula for unitary groups II: corank one terms
Tony Feng, Benjamin Howard, Mikayel Mkrtchyan
We prove the higher Siegel--Weil formula for \emph{corank one} terms, relating (1) the central derivatives of corank one Fourier coefficients of Siegel--Eisenstein ser…
Intersection formulas on moduli spaces of unitary shtukas
Yongyi Chen, Benjamin Howard
Feng-Yun-Zhang have proved a function field analogue of the arithmetic Siegel-Weil formula, relating special cycles on moduli spaces of unitary shtukas to higher derivatives of Eis…
Arithmetic volumes of unitary Shimura varieties
Jan Hendrik Bruinier, Benjamin Howard
The integral model of a Shimura variety carries a universal abelian scheme over it, and the dual top exterior power of its Lie algebra carries a natural hermit…