Research interests
I am interested in the following subjects:
Nonsingular (and infinite measure-preserving) ergodic theory.
Dynamics of the horocycle and geodesic flows on hyperbolic surfaces.
The descriptive set theory of orbit equivalence relations.
Mathematical logic.
Preprints
"Uncountable hyperfiniteness and the random ratio ergodic theorem", with Nachi Avraham-Re'em, preprint. ArXiv
"Cofinal families of finite VC-dimension", with Omer Ben-Neria and Itay Kaplan, preprint. ArXiv
"Wasserstein stability and the nonsingular Borel lifting problem", with Nachi Avraham-Re'em, preprint. ArXiv
Published / accepted papers
“Set systems with covering properties and low VC-dimension”, with Johanna Steinmeyer, Graphs Combin. (2025). ArXiv / Journal
"Irrationality of the length spectrum", with Guy Sapire, C.R. Math. (2025). ArXiv / Journal
"The Hopf Decomposition of locally compact group actions", with Nachi Avraham-Re'em, to appear in J. Anal. Math., ArXiv
Talks and presentations
"The Algebra and Geometry of Hyperbolic surfaces", HUJI faculty day poster session, May 2025.
"Countable Borel equivalence relations are generically hyperfinite", HUJI Dynamics Lunch Seminar, May 2025. Notes
"Representation theory and homogeneous dynamics", HUJI Graduate Student Seminar, November 2024. Notes
"The Hopf decomposition for locally compact groups and structure of dissipative systems", HUJI Dynamics Seminar, June 2024
"On cofinal families of finite sets with a finite VC dimension", HUJI Set Theory Seminar, July 2023 (two talks)
"Cofinal NIP families of finite sets", HUJI Logic Seminar, June 2023
"Forcing: becoming Prometheus", HUJI Graduate Student Seminar, January 2023
"Approximating equivalence classes with finite equivalence classes", HUJI Graduate Student Seminar, April 2022