Category Archives: Geometry

Henry Cohn, Abhinav Kumar, Stephen D. Miller, Danylo Radchenko, and Maryna Viazovska: Universal optimality of the E8 and Leech lattices and interpolation formulas

Posted on February 15, 2019 by

Henry Cohn A follow up paper on the tight bounds for sphere packings in eight and 24 dimensions. (Thanks, again, Steve, for letting me know.) For the 2016 breakthroughs see this post, this post of John Baez, this article by Erica Klarreich on … Continue reading →

Posted in Algebra and Number Theory, Combinatorics, Geometry | Tagged , , , , , , , | Leave a comment

Exciting Beginning-of-the-Year Activities and Seminars.

Posted on October 30, 2018 by

Let me mention two talks with very promising news by friends of the blog, Karim Adiprasito and Noam Lifshitz. As always, with the beginning of the academic year there are a lot of exciting activities,  things are rather hectic around,  … Continue reading →

Posted in Combinatorics, Geometry, Probability | Tagged , , , , | Leave a comment

ICM 2018 Rio (3) – Coifman, Goldstein, Kronheimer and Mrowka, and the Four Color Theorem

Posted on October 23, 2018 by

This post is my third report from ICM 2018. You may remember that I had planned to live-blog on the last four days of the congress but on Monday evening I realized that this was an unrealistic task and decided … Continue reading →

Posted in Combinatorics, Geometry, ICM2018 | Tagged , , , | 2 Comments

Ricky and Branko

Posted on October 14, 2018 by

Two dear friends, and great geometers, Ricky Pollack and Branko Grünbaum  passed away a few weeks ago. Ricky was a close friend that both Mazi my wife and I loved, and we were both fascinated by his wisdom, charm and … Continue reading →

Posted in Combinatorics, Convexity, Geometry, Obituary | Tagged , | 3 Comments

An Improved Bound for Weak Epsilon-Nets in the Plane, by Nathan Rubin, is on the arXive

Posted on August 17, 2018 by

The paper An Improved Bound for Weak Epsilon-Nets in the Plane, by Nathan Rubin is now on the arxive. we mentioned  the result in this post, and the problem in this post (my very first) over Tao’s blog What’s New. … Continue reading →

Posted in Combinatorics, Geometry | Tagged , | Leave a comment

Beyond the g-conjecture – algebraic combinatorics of cellular spaces I

Posted on June 20, 2018 by

The g-conjecture for spheres is surely the one single conjecture I worked on more than on any other, and also here on the blog we had a sequence of posts about it by Eran Nevo (I,II,III,IV). Here is a great … Continue reading →

Posted in Combinatorics, Convex polytopes, Geometry | Tagged , , , , , , , , , , , , , , , , , , | 8 Comments

An Interview with Yisrael (Robert) Aumann

Posted on June 15, 2018 by

I was privileged to join Menachem Yaari and Sergiu Hart in interviewing Yisrael Aumann.  The interview is in Hebrew. It is an initiative of the Israel Academy of Sciences and the Humanities. For our non Hebrew speakers here is in … Continue reading →

Posted in Academics, Combinatorics, Games, Geometry, Rationality | Tagged , , | 1 Comment

Igor Pak is Giving the 2018 Erdős Lectures in Discrete Mathematics and Theoretical Computer Science

Posted on June 12, 2018 by

Update: The lectures this week are cancelled.  They will be given at a later date. Next week Igor Pak will give the 2018 Erdős Lectures   Monday Jun 18 2018 Combinatorics — Erdos lecture: Igor Pak (UCLA) “Counting linear extensions” 11:00am to 12:30pm Location: … Continue reading →

Posted in Combinatorics, Computer Science and Optimization, Geometry, Updates | Tagged | Leave a comment

Sailing into High Dimensions

Posted on June 12, 2018 by

On June 20 at 13:30 I talk here at HUJI about Sailing into high dimensions. (Thanks to Smadar Bergman for the poster.)

Posted in Combinatorics, Geometry, Updates | Tagged | 2 Comments

Coloring Problems for Arrangements of Circles (and Pseudocircles)

Posted on April 13, 2018 by

To supplement and celebrate Aubrey de Grey’s result here are Eight problems on coloring circles A) Consider a finite family of unit circles. What is the minimum number of colors needed to color the circles so that tangent circles are … Continue reading →

Posted in Combinatorics, Geometry, Open problems | Tagged , , | 9 Comments