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Latest posts

Last updated 2 days ago

The Hardy–Littlewood–Chowla conjecture in the presence of a Siegel zero

2 days ago

Joni Teräväinen and I have just uploaded to the arXiv our preprint...

More analysis questions from a high school student

3 days ago

A few months ago I posted a question about analytic functions that...

Undecidable translational tilings with only two tiles, or one nonabelian tile

29 days ago

Rachel Greenfeld and I have just uploaded to the arXiv our preprint...

Varieties of general type with many vanishing plurigenera, and optimal sine and sawtooth inequalities

about 2 months ago

Louis Esser, Burt Totaro, Chengxi Wang, and myself have just uploaded to...

The Gowers uniformity norm of order 1+

about 2 months ago

In the modern theory of higher order Fourier analysis, a key role...

Quantitative bounds for Gowers uniformity of the Mobius and von Mangoldt functions

2 months ago

Joni Teräväinen and myself have just uploaded to the arXiv our preprint...

Singmaster’s conjecture in the interior of Pascal’s triangle

3 months ago

Kaisa Matomäki, Maksym Radziwill, Xuancheng Shao, Joni Teräväinen, and myself have just...

Goursat and Furstenberg-Weiss type lemmas

4 months ago

I’m collecting in this blog post a number of simple group-theoretic lemmas...

Is there a non-analytic function with all differences analytic?

5 months ago

I was asked the following interesting question from a bright high school...

Boosting the van der Corput inequality using the tensor power trick

7 months ago

In this previous blog post I noted the following easy application of...

The inclusion-exclusion principle for commuting projections

7 months ago

The (classical) Möbius function is the unique function that obeys the classical...

Job advertisement: Director of UCLA Endowed Olga Radko Math Circle (ORMC)

7 months ago

[I am posting this advertisement in my capacity as chair of the...