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Category Archives: Analysis
Starting Today: Kazhdan Sunday seminar: “Boolean Functions, Hypercontractivity, and Applications”
Sunday, 22 March, 2026 – 11:00 to 13:00 Today the seminar will take place via zoom. After Pesach we hope to make it in Ross 70 seminar room. Repeats every week every Sunday until the end of June 2026 Kazhdan … Continue reading
Polynomial Bounds for Chowla’s Cosine Problem
Polynomial bounds for the Chowla cosine problem were achieved independently in two very recent works. Zhihan Jin, Aleksa Milojević, István Tomon, Shengtong Zhang: From small eigenvalues to large cuts, and Chowla’s cosine problem; Benjamin Bedert: Polynomial bounds for the Chowla Cosine Problem Abstract … Continue reading
Posted in Analysis, Combinatorics
Tagged Aleksa Milojević, Benjamin Bedert, István Tomon, Sarvadaman Chowla, Shengtong Zhang, Zhihan Jin
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A Few Announcements
Trevisan Prize 2025 Here is a call for nominations for a new theoretical computer science prize, in memory of Luca Trevisan. (h/t Alon Rosen.) Three Near Future Events at HUJI While the Erdős Lectures 2025 given by Mehtaab S. Sawhney, … Continue reading
Hong Wang and Joshua Zahl’s Solution for the Kakeya Problem in Three Dimensions – Reflections and Links
As many of you likely heard by now, Hong Wang and Joshua Zahl proved the The Kakeya Conjecture in three dimensions. Hong Wang and Joshua Zahl, Volume estimates for unions of convex sets, and the Kakeya set conjecture in three … Continue reading
Jiaoyang Huang, Theo Mckenzie, Horng-Tzer Yau: Ramanujan Property and Edge Universality of Random Regular Graphs
A central problem in combinatorics, probability theory, and analysis is to understand the spectrum of random d-regular graphs G with vertices. The following paper marks a huge leap in our understanding of this problem. Ramanujan Property and Edge Universality of … Continue reading
Posted in Analysis, Combinatorics, Probability
Tagged Horng-Tzer Yau, Jiaoyang Huang, Ramanujan graphs, Theo Mckenzie
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Qingyang Guan, Joseph Lehec and Bo’az Klartag Solved The Slice Conjecture!
Updates: Here are slides from a recent lecture of Bo’az at TAU. The conjecture is actually called “the slicing conjecture” or “Bourgain’s slicing conjecture” and not the “slice conjecture”. (There is an unrelated slice-ribbon conjecture in knot theory.) Good news: … Continue reading
Posted in Analysis, Convexity, Geometry
Tagged Bo'az Klartag, Joseph Lehec, Qingyang Guan
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Some mathematical news
Update: Let me mention a ninth paper that just appeared on the arXive. IX. … and the optimal sofa for the moving sofa problem is … Gerver’s sofa. Optimality of Gerver’s Sofa, by Jineon Baek (h/t for Dan Romik who … Continue reading
Posted in Algebra, Analysis, Combinatorics, Convex polytopes, Geometry, Number theory, Updates
Tagged Alexander Lubotzky, Amey Bhangale, Anton Kapustin, Ben Green, Chi-Fang Chen, Dor Minzer, Jineon Baek, Joel A. Tropp, Jorge Garza-Vargas, Joshua Hinman, Lewis Bowen, Mehtaab Sawhney, Michael Chapman, Peter Keevash, Ramon van Handel, Sophie Morier-Genoud, Subhash Khot, Thomas Vidick, Valentin Ovsienko, Yang P. Liu, Yirong Yang
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Celebrating Irrationality: Frank Calegari, Vesselin Dimitrov, and Yunqing Tang Proved the Irrationality of 1/1²-1/2²+1/4²-1/5²+1/7²-1/8²+ …
There are very many irrational numbers but proving irrationality of a specific number is not a common event. A few weeks ago Frank Calegari, Vesselin Dimitrov, and Yunqing Tang posted a paper that proved the irrationality of . In fact … Continue reading
Posted in Analysis, Combinatorics, Geometry, Number theory, Rationality
Tagged Frank Calegari, Vesselin Dimitrov, Yunqing Tang
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Pictures from Our 2024 Annual Meeting of the Israel Mathematical Union and Student Day
To me and to many mathematicians in Israel, the Annual meeting of the Israeli Mathematical Union is a dear event and we try to take part. (Here we briefly described the 2017 meeting in Acre, and here the 2014 meeting … Continue reading
Posted in Algebra, Analysis, Computer Science and Optimization
Tagged Amir Abboud, Lior Yanovski, Misha Sodin
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