A wonderful breakthrough by Dror Bar-Natan and Roland Van der Veen. Knot invariants which can be computed for diagrams with hundreds of crossings, are powerful, fun, and carry profound dreams and conjectures. gilkalai.wordpress.com/2025/09/25/d...

48 interesting questions from the audience of recent lectures about quantum computation, where I presented my argument for why quantum computing—and even significant early milestones toward it—are fundamentally impossible. gilkalai.wordpress.com/2025/07/30/s...

After 78 years, an exponential improvement for Ramsey numbers were found by Jie Ma, Wujie Shen, and Shengjie Xie. gilkalai.wordpress.com/2025/07/23/a...

Joram’s seminar 2025: Hypercontractivity, Groups and Representations. Splendid connections between combinatorics, algebra, analysis, and geometry, using representation theory and hypercontractivity. There are some applications to TCS and physics. gilkalai.wordpress.com/2025/07/15/j...

Birthday conferences for Saharon Shelah and Yuri Gurevich, and a lecture by Ronald de Wolf on quantum proofs for classical theorems. gilkalai.wordpress.com/2025/07/07/h...

A Remarkable discovery in London's skyline! gilkalai.wordpress.com/2025/06/27/a...

Shakhar Smorodinsky settled (on the spot) an old Radon-type problem that I posed in the 70s. In addition, an update, pictures from the recent Erdos lecture by Mehtaab S. Sawhney, and some light on the mysterious huge digital thermometer in our lecture hall. gilkalai.wordpress.com/2025/06/18/s...

Later today, (17:00 Israel time, June 3) I give a zoom lecture followed by conversation: A critical view on quantum computing, at the Ethereum foundation. There will also be a live streaming, open to all, here: youtube.com/live/HhWWkTk...

One slide on the amazing story of mathematical logic at the Hebrew University of Jerusalem. gilkalai.wordpress.com/2025/05/28/l...

Sphere packing problem - amazing progress by Bo'az Klartag gilkalai.wordpress.com/2025/04/09/b...

Hong Wang and Joshua Zahl’s Breakthrough on Kakeya’s Problem in Three Dimensions: Insights and Resource gilkalai.wordpress.com/2025/04/04/h...

The second part of my post on quantum computer skepticism featuring my own view and some counter arguments to various skeptical claims made by John Preskill, Aram Harrow, Scott Aaronson, Dave Bacon, and Boaz Barak. gilkalai.wordpress.com/2025/02/26/q...

The post explains a "no go" approach for Majorana zero modes: Is it the case that samples from states demonstrating Majorana zero modes on a NISQ computer goes (for large numbers of qubits) beyond the Kalai-Kindler LDP complexity class? gilkalai.wordpress.com/2025/02/21/m...

I provide links, references, and a brief discussion of the skeptical views regarding quantum computing held by Robert Alicki, Michel Dyakonov, Leonid Levin, Oded Goldreich, and a few others. gilkalai.wordpress.com/2025/02/17/r...

The question if quantum computing is possible is among the most fascinating scientific questions of our time and the debate on this question is as old as the field itself. I present a roadmap for the interesting debate from my perspective. gilkalai.wordpress.com/2025/02/11/r...

Seven assertions about quantum computing that arose in my research. I will gladly clarify or elaborate on them and I welcome questions and remarks. gilkalai.wordpress.com/2025/02/05/s...