Asaf Katz Mathematics
I am currently a postdoctoral assistant professor at the mathematics department of the University of Michigan, working with Prof. Ralf Spatzier.
Before that, I was an L.E. Dickson instructor at the mathematics department of the University of Chicago, working with Prof. Alex Eskin.
Before that, I completed my Ph.D. studies at the Hebrew University of Jerusalem under the guidance of Prof. Elon Lindenstrauss.
My CV (October 2023).
Research Statement (October 2023).
Research
I work in dynamics, primarily in ergodic theory and homogeneous dynamics, in particular towards applications to number theory and geometry.
Among my interests:
Ergodic theory.
Homogeneous dynamics and relations to number theory.
Automorphic representations and spectral theory.
Number theory - analytic number theory and additive combinatorics.
Harmonic analysis.
Papers
Generalizations of Furstenberg's diophantine result - Ergodic Theory and Dynamical Systems, Vol 38, Issue 3.
On mixing and sparse ergodic theorems - Journal of Modern Dynamics, Vol 17.
Quantitative disjointness of nilflows from horospherical flows - accepted, Journal d'Analyse Mathematique.
Measure rigidity for Anosov flows via the Factorization method - To appear, Geometric and Functional Analysis
Contact Details
email: first name (dot) last name @ gmail.com
Department of Mathematics , Room 1840