Samuel Edwards

About Me

I am currently a Gibbs Assistant Professor at Yale University. I was previously a Postdoctoral Fellow (also at Yale) funded by a scholarship from the Knut and Alice Wallenberg Foundation. I received my Ph.D. from Uppsala University in 2018, where I studied under the supervision of Andreas Strömbergsson.

Research

I study problems related to automorphic functions and homogeneous dynamics. I am particularly interested in using methods from spectral and representation theory to prove results related to effective equidistribution. Here is a copy of my CV.

Publications

Articles

  1. with Minju Lee and Hee Oh: Anosov groups: local mixing, counting, and equidistribution (preprint, 2020) link arXiv

  2. with Hee Oh: Spectral gap and exponential mixing on geometrically finite manifolds (to appear in Duke Math. J., 2020) arXiv

  3. Effective equidistribution of the horocycle flow on geometrically finite hyperbolic surfaces (IMRN, 2019) link arXiv

  4. Renormalization of integrals of Eisenstein series and analytic continuation of representations (Journal of Number Theory, 2019) link arXiv

  5. On the rate of equidistribution of expanding translates of horospheres in Γ\G (preprint, 2017) arXiv

  6. On the rate of equidistibution of expanding horospheres in finite-volume quotients of SL(2,C) (Journal of Modern Dynamics, 2017) link arXiv

Other

  1. Some applications of representation theory in homogeneous dynamics and automorphic functions (Ph. D. Thesis, 2018) link

  2. Effective equidistribution of horospheres in infinite volume quotients of SO(n,1) by geometrically finite groups (Ph. D. Thesis Chapter, 2018) link

  3. On the equidistribution of translates of orbits of symmetric subgroups in Γ\G (Ph. D. Thesis Chapter, 2018) link

  4. The rate of mixing for diagonal flows on spaces of affine lattices (M.Sc. Thesis, 2013) link