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Latest posts

Last updated 2 days ago

A Lean companion to “Analysis I”

2 days ago

Almost 20 years ago, I wrote a textbook in real analysis called...

Some variants of the periodic tiling conjecture

20 days ago

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

A tool to verify estimates, II: a flexible proof assistant

24 days ago

In a recent post, I talked about a proof of concept tool...

Orders of infinity

29 days ago

Many problems in analysis (as well as adjacent fields such as combinatorics...

A proof of concept tool to verify estimates

about 1 month ago

This post was inspired by some recent discussions with Bjoern Bringmann Symbolic...

Stonean spaces, projective objects, the Riesz representation theorem, and (possibly) condensed mathematics

about 1 month ago

A basic type of problem that occurs throughout mathematics is the lifting...

A suspicious conference

about 2 months ago

I have received multiple queries from colleagues who have been invited (from...

Decomposing a factorial into large factors

2 months ago

I;ve just uploaded to the arXiv the paper “Decomposing a factorial into...

The three-dimensional Kakeya conjecture, after Wang and Zahl

3 months ago

There has been some spectacular progress in geometric measure theory: Hong Wang...

Closing the “green gap”: from the mathematics of the landscape function to lower electricity costs for households

3 months ago

I recently returned from the 2025 Annual Meeting of the “Localization of...

Cosmic Distance Ladder videos with Grant Sanderson (3blue1brown): commentary and corrections

4 months ago

Grant Sanderson (who runs, and creates most of the content for, the...

New exponent pairs, zero density estimates, and zero additive energy estimates: a systematic approach

4 months ago

Timothy Trudgian, Andrew Yang and I have just uploaded to the arXiv...