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Latest posts

Last updated 12 days ago

Higher uniformity of arithmetic functions in short intervals II. Almost all intervals

12 days ago

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

The elephant in the room

15 days ago

The day after the election, I found myself struggling with how to...

Climbing the cosmic distance ladder: launching an instagram

21 days ago

I have been collaborating for many years with a long-time personal friend...

The equational theories project: a brief tour

about 1 month ago

Almost three weeks ago, I proposed a collaborative project, combining the efforts...

A pilot project in universal algebra to explore new ways to collaborate and use machine assistance?

about 2 months ago

Traditionally, mathematics research projects are conducted by a small number (typically one...

Pointwise convergence of bilinear polynomial averages over the primes

2 months ago

Ben Krause, Hamed Mousavi, Joni Teräväinen, and I have just uploaded to...

A possible approach to finite time blowup for the Euler equations

3 months ago

Given a smooth compact Riemannian manifold , the incompressible Euler equations can...

Planar point sets with forbidden four-point patterns and few distinct distances

3 months ago

I’ve just uploaded to the arXiv my paper “Planar point sets with...

Erdos problem #385, the parity problem, and Siegel zeroes

3 months ago

The Erdös problem site was created last year, and announced earlier this...

A result of Bui–Pratt–Zaharescu, and Erdös problem #437

4 months ago

The following problem was posed by Erdös and Graham (and is listed...

What are the odds, II: the Venezuelan presidential election

4 months ago

In a previous blog post, I discussed how, from a Bayesian perspective...

Dense sets of natural numbers with unusually large least common multiples

5 months ago

I’ve just uploaded to the arXiv my paper “Dense sets of natural...