Rachel Greenfeld                 

E-mail:  greenfeld dot math at gmail dot com / rgreenfeld at ias dot edu
 Office:  Simonyi 217
                         
I am a member at the School of Mathematics of the Institute for Advanced Study, Princeton.
Previously, I was a Hedrick Assistant Professor at the Department of Mathematics at UCLA, working with Terry Tao. 
Starting in Fall 2024, I will be an assistant professor at Northwestern University.

I work in harmonic analysis, additive combinatorics and discrete geometry.
During the past few years, my main research thrust has been the study 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 PhD 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.

CV


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Teaching