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[1] Đề thi chọn đội VMO của Hà Nội https://nttuan.org/2020/06/03/hanoi-tst/

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Update 28/7/2020.

Noga Alon and Udi Hrushovski won the 2022 Shaw Prize May 24, 2022

Noga Alon, yesterday at TAU, with his long-time collaborators and former students Michael Krivelevich and Benny Sudakov (left) Udi Hrushovski (right) Heartfelt congratulations to Noga Alon and to Ehud (Udi) Hrushovski for winning the 2022 Shaw Prize in Mathematical Sciences! … Continue reading →

Gil Kalai

Oliver Janzer and Benny Sudakov Settled the Erdős-Sauer Problem May 20, 2022

Norbert Sauer The news in brief: In the new paper Resolution of the Erdős-Sauer problem on regular subgraphs Oliver Janzer and Benny Sudakov proved that any graph G with vertices and more than edges contains a k-regular subgraph. This bound … Continue reading →

Gil Kalai

Past and Future Events May 9, 2022

Quick announcements of past (recorded) and future events 1) Shachar Lovett was the Erdos Speaker for 2022 and his great talks are recorded. (Lecture 1, Tensor ranks and their applications lecture 2, The monomial structure of Boolean functions, lecture 3, … Continue reading →

Gil Kalai

Joshua Hinman proved Bárány’s conjecture on face numbers of polytopes, and Lei Xue proved a lower bound conjecture by Grünbaum. April 29, 2022

Joshua Hinman proved Bárány’s conjecture. One of my first posts on this blog was a 2008 post Five Open Problems Regarding Convex Polytopes, now 14 years later, I can tell you about the first problem on the list to get solved. … Continue reading →

Gil Kalai

Amazing: Jinyoung Park and Huy Tuan Pham settled the expectation threshold conjecture! April 2, 2022

A brief summary: In the paper, A proof of the Kahn-Kalai conjecture, Jinyoung Park and Huy Tuan Pham proved the 2006 expectation threshold conjecture posed by Jeff Kahn and me. The proof is wonderful. Congratulations Jinyoung and Huy Tuan! Updates: … Continue reading →

Gil Kalai

Combinatorial Convexity: A Wonderful New Book by Imre Bárány March 21, 2022

A few days ago I received by mail Imre Bárány’s new book Combinatorial Convexity. The book presents Helly-type theorems and other results in convexity with combinatorial flavour. The choice of material and the choice of proofs is terrific and it … Continue reading →

Gil Kalai

Chaim Even-Zohar, Tsviqa Lakrec, and Ran Tessler present: The Amplituhedron BCFW Triangulation March 5, 2022

There is a recent breakthrough paper The Amplituhedron BCFW Triangulation by Chaim Even-Zohar, Tsviqa Lakrec, and Ran Tessler Abstract: The amplituhedron is a geometric object, introduced by Arkani-Hamed and Trnka (2013) in the study of scattering amplitudes in quantum … Continue reading →

Gil Kalai

Ehud Friedgut: How many cubes of 2×2×2 fit into a box of size 8×4×3? (TYI 49) February 16, 2022

This blog post is kindly written by Ehud Friedgut. My daughter, Shiri, who’s in seventh grade, had the following question in a math exam: How many cubes of 2×2×2 fit into a box of size 8×4×3? Shiri divided the volumes, … Continue reading →

Gil Kalai

Is HQCA Possible? A conversation with Michael Brooks February 10, 2022

Here is a short email interview from April 2021 with Michael Brooks from “New Scientist”. Dear Professor Kalai, I’m writing a short feature for New Scientist magazine on the theme “Will we ever have a useful quantum computer?”. I’m aware … Continue reading →

Gil Kalai

To cheer you up in difficult times 35 combined with Test Your Intuition 48: Alef’s corner – Jazz and Math February 1, 2022

Test your intuition: What is the true title of this drawing?

Gil Kalai

Terence Tao

Partially specified mathematical objects, ambient parameters, and asymptotic notation May 11, 2022

In orthodox first-order logic, variables and expressions are only allowed to take one value at a time; a variable , for instance, is not allowed to equal and simultaneously. We will call such variables completely specified. If one really wants to deal with multiple values of objects simultaneously, one is encouraged to use the language […]

Terence Tao

Higher uniformity of arithmetic functions in short intervals I. All intervals April 11, 2022

Kaisa Matomäki, Xuancheng Shao, Joni Teräväinen, and myself have just uploaded to the arXiv our preprint “Higher uniformity of arithmetic functions in short intervals I. All intervals“. This paper investigates the higher order (Gowers) uniformity of standard arithmetic functions in analytic number theory (and specifically, the Möbius function , the von Mango […]

Terence Tao

Nominations for 2023 Doob prize now open April 7, 2022

Just a brief announcement that the AMS is now accepting (until June 30) nominations for the 2023 Joseph L. Doob Prize, which recognizes a single, relatively recent, outstanding research book that makes a seminal contribution to the research literature, reflects the highest standards of research exposition, and promises to have a deep and long-term impact in […]

Terence Tao

Web page for the Short Communication Satellite (SCS) of the 2022 virtual ICM now live March 30, 2022

Just a brief update to the previous post. Gerhard Paseman and I have now set up a web site for the Short Communication Satellite (SCS) for the virtual International Congress of Mathematicians (ICM), which will be an experimental independent online satellite event in which short communications on topics relevant to one or two of the […]

Terence Tao

Short communication satellite event for the 2022 virtual ICM? March 20, 2022

[As with previous posts regarding ICM satellite events, I am authoring this post as an individual, and not in my capacity as chair of the ICM Structure Committee, which does not have any advisory or supervisory role over ICM satellite events – T.] One of the traditional features of the International Congress of Mathematicians are […]

Terence Tao

2022 ICM satellite coordination group March 11, 2022

[Note: while I happen to be the chair of the ICM Structure Committee, I am authoring this blog post as an individual, and not as a representative of that committee or of the IMU, as they do not have jurisdiction over satellite conferences. -T.] The International Mathematical Union (IMU) has just released some updates on […]

Terence Tao

Measurable tilings by abelian group actions March 4, 2022

Jan Grebik, Rachel Greenfeld, Vaclav Rozhon and I have just uploaded to the arXiv our preprint “Measurable tilings by abelian group actions“. This paper is related to an earlier paper of Rachel Greenfeld and myself concerning tilings of lattices , but now we consider the more general situation of tiling a measure space by a […]

Terence Tao

Resources for displaced mathematicians March 2, 2022

In this post I would like to collect a list of resources that are available to mathematicians displaced by conflict. Here are some general resources: The IIE Scholar Rescue Fund Statement on the war in Ukraine Scholars at Risk Statement of solidarity with the people of Ukraine and Ukrainian higher education The New University in […]

Terence Tao

The International Congress of Mathematicians (ICM 2022) will now be fully virtual. How best to utilise this format? February 26, 2022

[Note: while I am chair of the ICM Structure Committee, this blog post is not an official request from this committee, as events are still moving too rapidly to proceed at present via normal committee deliberations. We are however discussing these matters and may issue a more formal request in due course. -T.] The International […]

Terence Tao

Satz vom Nullprodukt February 14, 2022

As I have mentioned in some recent posts, I am interested in exploring unconventional modalities for presenting mathematics, for instance using media with high production value. One such recent example of this I saw was a presentation of the fundamental zero product property (or domain property) of the real numbers – namely, that implies or […]

Terence Tao

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