Chris Lutsko
I am an Assistant Professor of Mathematics at the University of Houston. My research lies at the intersection of number theory, spectral theory, homogeneous dynamics, and mathematical physics.
Much of my work concerns spectral questions in arithmetic and dynamics, including quantum chaos, local statistics of deterministic sequences, and stochastic models from statistical mechanics.
Selected work
Spherical density for real semisimple groups. Preprint (2026). PDF
Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces, with Tobias Weich and Lasse Wolf. Duke Mathematical Journal, accepted. arXiv · PDF
Pair correlation of the fractional parts of $\alpha n^\theta$, with Athanasios Sourmelidis and Niclas Technau. Journal of the European Mathematical Society 27 (2024), 4069–4082. Journal · arXiv
Invariance principle for the random Lorentz gas—beyond the Boltzmann–Grad limit, with Bálint Tóth. Communications in Mathematical Physics 379 (2020), 589–632. Journal · arXiv
Background
Before joining Houston in 2024, I was a postdoctoral researcher at the University of Zurich (2023–24) and a Hill Assistant Professor at Rutgers University (2020–23). I received my PhD from the University of Bristol under the supervision of Jens Marklof and Bálint Tóth.
For a nontechnical introduction to one aspect of my work, see my Scientific American article (Es gibt auch eine Übersetzung unter Spektrum der Wissenschaft).