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Recent Posts
 TYI 41: How many steps does it take for a simple random walk on the discrete cube to reach the uniform distribution?
 Gil’s Collegial Quantum Supremacy Skepticism FAQ
 Amazing! Keith Frankston, Jeff Kahn, Bhargav Narayanan, Jinyoung Park: Thresholds versus fractional expectationthresholds
 Starting today: Kazhdan Sunday seminar: “Computation, quantumness, symplectic geometry, and information”
 The story of Poincaré and his friend the baker
 Gérard Cornuéjols’s baker’s eighteen 5000 dollars conjectures
 Noisy quantum circuits: how do we know that we have robust experimental outcomes at all? (And do we care?)
 Test Your Intuition 40: What Are We Celebrating on Sept, 28, 2019? (And answer to TYI39.)
 Quantum computers: amazing progress (Google & IBM), and extraordinary but probably false supremacy claims (Google).
Top Posts & Pages
 Gil's Collegial Quantum Supremacy Skepticism FAQ
 TYI 41: How many steps does it take for a simple random walk on the discrete cube to reach the uniform distribution?
 TYI 30: Expected number of Dice throws
 Lior, Aryeh, and Michael
 Elchanan Mossel's Amazing Dice Paradox (your answers to TYI 30)
 Quantum computers: amazing progress (Google & IBM), and extraordinary but probably false supremacy claims (Google).
 Amazing: Hao Huang Proved the Sensitivity Conjecture!
 Jeff Kahn and Jinyoung Park: Maximal independent sets and a new isoperimetric inequality for the Hamming cube.
 Aubrey de Grey: The chromatic number of the plane is at least 5
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Category Archives: Geometry
Starting today: Kazhdan Sunday seminar: “Computation, quantumness, symplectic geometry, and information”
Sunday, 27 October, 2019 – 14:00 to 16:00 Repeats every week every Sunday until Sat Feb 01 2020 Location: Ross 70 See also: Seminar announcement; previous post Symplectic Geometry, Quantization, and Quantum Noise. The Google supremacy claims are discussed (with … Continue reading
Alef’s corner: Bicycles and the Art of Planar Random Maps
The artist behind Alef’s corner has a few mathematical designs and here are two new ones. (See Alef’s website offering over 100 Tshirt designs.) which was used for the official Tshirt for JeanFrançois Le Gall’s birthday conference. See also … Continue reading
Mohammad Ghomi and Joel Spruck settled the CartanHadamard conjecture!
Greetings from Oberwolfach from a great conference on algebraic, geometric, and topological combinatorics. Stay tuned for more pictures and updates from Oberwolfach and CERN, and also in case you did not see it already here is the link to the … Continue reading
Posted in Geometry, Uncategorized
Tagged CartanHadamard's conjecture, Joel Spruck, Mohammad Ghomi
5 Comments
Karim Adiprasito: The gConjecture for Vertex Decomposible Spheres
J Scott Provan (site) The following post was kindly contributed by Karim Adiprasito. (Here is the link to Karim’s paper.) Update: See Karim’s comment on the needed ideas for extend the proof to the general case. See also in the … Continue reading
Posted in Combinatorics, Convex polytopes, Geometry, Guest blogger
Tagged gconjecture, J Scott Provan, Karim Adiprasito, Leonid Gurvits, Lou Billera
9 Comments
Henry Cohn, Abhinav Kumar, Stephen D. Miller, Danylo Radchenko, and Maryna Viazovska: Universal optimality of the E8 and Leech lattices and interpolation formulas
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
Exciting BeginningoftheYear Activities and Seminars.
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 Dor Minzer, Eoin Long, Karim Adiprasito, Noam Lifshitz, Peter Keevash
1 Comment
ICM 2018 Rio (3) – Coifman, Goldstein, Kronheimer and Mrowka, and the Four Color Theorem
This post is my third report from ICM 2018. You may remember that I had planned to liveblog 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 Catherine Goldstein, Peter Kronheimer, Ronald (Rafi) Coifman, Tomasz Mrowka
2 Comments
Ricky and Branko
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 Branko Grunbaum, Ricky Pollack
3 Comments
An Improved Bound for Weak EpsilonNets in the Plane, by Nathan Rubin, is on the arXive
The paper An Improved Bound for Weak EpsilonNets 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