About Me

I am an Instructor of Mathematics at Brandeis University. In the academic year 2020-2021, I was a postdoctoral fellow at the Einstein Institute of Mathematics of the Hebrew University of Jerusalem, hosted by Elon Lindenstrauss and supported by a Zuckerman postdoctoral fellowship. I am currently applying for jobs (Fall 2022).

Together with Dmitry Kleinbock, Han Li, and Felipe Ramirez, we organize the online New England Dynamics and Number Theory seminar which meets on (some) Thursdays 12:15pm-1:15pm.

I received my Ph.D. in Mathematics from Yale University in 2019. I am fortunate to have had Professors Gregory Margulis (Yale University) and Emmanuel Breuillard (University of Cambridge) as advisers.

I am primarily interested in arithmetic groups and their generalizations, with connections to number theory and geometry.

Upcoming Talks

2023Mar 4-5WesleyanA Dynamical Weekend at Wesleyan
2023Feb 6YaleGroup actions and dynamics seminar
2023Feb 13BrownAlgebra seminar
2022Oct 20ZoomNew England Dynamics and Number Theory Seminar

Research Works

2022+Transactions of the AMS (to appear)Bottom of the Length Spectrum of Arithmetic Orbifoldsjournal ArXiVMikolaj Fraczyk
2022J. Group TheoryLogarithmic diameter bounds for some Cayley graphsjournalXin Zhang
2022Transformation GroupsUniform Kazhdan Constants and Paradoxes of the Affine PlanearXiv, journal 
2021Israel Journal of MathematicsArithmetic Groups and the Lehmer ConjecturearXiv, journalFrançois Thilmany

Books and Translations

1969AMS University Lecture Notes, edited by Dave Witte MorrisArmand BorelIntroduction to Arithmetic GroupsAMS Bookstore


YearSemesterCourse TitleCourse Number
2023SpringTopics in Algebra: Arithmetic GroupsMath 251a
2023SpringIntroduction to Differential GeometryMath 102a
2022FallIntroduction to Algebra Part IMath 100a