About Me

I am an Instructor in 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).

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

Research Interests

Arithmetic groups, algebraic groups, locally symmetric spaces, and their connections to number theory and geometry. Homogeneous dynamics, harmonic analysis, geometric group theory.

Research Papers

2023Transactions 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

Upcoming Talks

2023Feb 6YaleGroup actions and dynamics seminar
2023Feb 13BrownAlgebra seminar
2023Mar 4-5WesleyanA Dynamical Weekend at Wesleyan
2023Mar 14BrandeisTopology Seminar

Books and Translations

1969AMS Univ. Lect. Notes, edited by Dave Witte MorrisA. BorelIntroduction to Arithmetic GroupsAMS


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