Dr Noah Kravitz

I completed my undergraduate education at Yale, where I double-majored in Mathematics and Near Eastern Languages and Civilizations. I then obtained a PhD in Mathematics under the direction of Noga Alon at Princeton. Throughout graduate school, I have worked as a research adviser at the summer undergraduate mathematics research program at the University of Minnesota, Duluth. I am excited to join St John’s!

Within mathematics, I focus on combinatorics and make the occasional foray into number theory. I particularly like problems with simple statements but non-obvious solutions. Many of my recent projects have clustered in arithmetic combinatorics, which concerns combinatorial questions about number-theoretic objects. This exciting and active area has connections to many other fields, including harmonic analysis, Ramsey theory, discrete geometry, and ergodic theory. Some topics of enduring interest to me are the Lonely Runner Conjecture, the structure of sumsets, and higher-order Fourier analytic techniques in arithmetic Ramsey theory. In other parts of combinatorics, I have worked on a wide range of extremal, probabilistic, and algebraic problems.

I also maintain an academic interest in the history, languages, and culture of the Near East. My most recent reading has been in Syriac and Akkadian.

Recent Publications

Jacob Fox, Noah Kravitz, and Shengton Zhang, Finer control on relative sizes of iterated sumsets. https://arxiv.org/abs/2506.05691 (2025).

Federico Glaudo, Noah Kravitz, and Chayim Lowen, Simultaneous generating sets for flags. https://arxiv.org/abs/2502.09530 (2025).

Vanshika Jain and Noah Kravitz, Relative lonely runner spectra. https://arxiv.org/abs/2411.12684 (2024).

Benjamin Bedert and Noah Kravitz, Graham's rearrangement conjecture beyond the rectification barrier. https://arxiv.org/abs/2409.07403 (2024).

Noah Kravitz, Borys Kuca, and James Leng, Corners with polynomial side length. https://arxiv.org/abs/2407.08637 (2024).