Rachel Greenfeld                 

E-mail:  greenfeld dot math at gmail dot com / rgreenfeld at ias dot edu
 Office:  Fuld-415
I am a member at the School of Mathematics at the Institute for Advanced Study, Princeton.
Previously, I was a Hedrick Assistant Professor (postdoc) at the Department of Mathematics at UCLA mentored by Terry TaoAt UCLA, I was an organizer of the UCLA analysis seminar (partially joint with Caltech and USC) and a member of the EDI (Equity, Diversity and Inclusion) committee. 
Starting in Fall 2024, I will be an assistant professor at Northwestern University.

I work in harmonic analysis, arithmetic combinatorics and discrete geometry.
During the past few years, my main research thrust has been the study of the structure of translational tilings, focusing particularly on the well-known periodic tiling conjecture.
I have also been investigating other problems such as the Collatz conjecture, Fourier decoupling for fractals, and problems of additive combinatorics and ergodic Ramsey theory. 
I devoted my doctoral studies, which I completed in 2019 in the Mathematics Department of Bar-Ilan University, to the celebrated  Fuglede conjecture on the relationship between translational tiles and spectral sets.

I'm a co-organizer of t
he IAS Special Year Seminar, and the Online Analysis Research Seminar.


Publications  [Google Scholar page]