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math.SP2025
A converse theorem for hyperbolic surface spectra and the conformal bootstrap
Anshul Adve
The conformal bootstrap in physics has recently been adapted to prove remarkably sharp estimates on Laplace eigenvalues and triple correlations of automorphic forms on compact hype…
math.NT2025
Weyl bound for trilinear periods via conformal bootstrap
Anshul Adve, James Bonifacio, Petr Kravchuk +4
Let be holomorphic modular forms of the same weight for a cocompact lattice . We estimate the rate of decay of the coefficients in the expa…
math.NT2025
A Spectral Gap for Spinors on Hyperbolic Surfaces
Anshul Adve, Vikram Giri
The purpose of this note is to construct a sequence of spin hyperbolic surfaces with genus going to infinity and with a uniform spectral gap for the Dirac operator. Our const…