About

I am a mathematician working in number theory and homogeneous dynamics. Currently, I am an Assistant Professor of Mathematics at Northwestern University since summer 2019. Before that I was a a Veblen Research Instructor at Princeton University and the Institute for Advanced Study since 2016.

My research is being supported by a Sloan Fellowship, the NSF and the BSF. Previously, I have been supported by an AMS Centennial Fellowship. I am also a co-PI on the NSF RTG grant Dynamics: Classical, Modern and Quantum.

Papers

• Theta functions, fourth moments of eigenforms, and the sup-norm problem II, Ilya Khayutin, Paul D. Nelson and Raphael S. Steiner, 2022, preprint, arxiv

• Theta functions, fourth moments of eigenforms, and the sup-norm problem I, Ilya Khayutin and Raphael S. Steiner, 2020, preprint, arxiv

• Closed Geodesics on Products of Modular Curves, Ilya Khayutin, 2019, In preparation, tentative abstract

• Non-vanishing of Class Group \(L\)-functions for Number Fields with a Small Regulator, Ilya Khayutin, 2019, Compositio Math., arxiv

• Equidistribution on Kuga-Sato Varieties of Torsion Points on CM Elliptic Curves, Ilya Khayutin, 2018, Journal of the EMS, arxiv

• Joint Equidistribution of CM Points, Ilya Khayutin, 2017, Annals of Math., arxiv
  Videos: 15min talk, 1hr talk

• Arithmetic of Double Torus Quotients and the Distribution of Periodic Torus Orbits, Ilya Khayutin, 2015, Duke Math J., arxiv

• Large Deviations and Effective Equidistribution, Ilya Khayutin, 2015, Int. Math. Res. Not., arxiv

• Communication with Unobservable Constraints, Ilya Khayutin, 2007, Master’s Thesis, Manuscript

Contact

email: last name@northwestern.edu

Mathematics Department, Northwestern University
2033 Sheridan Road
Evanston, IL 60208