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Latest posts

Last updated 2 days ago

Decomposing a factorial into large factors

2 days ago

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

The three-dimensional Kakeya conjecture, after Wang and Zahl

about 1 month 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

about 1 month ago

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

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

about 1 month 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

about 2 months ago

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

Quaternions and spherical trigonometry

3 months ago

Hamilton’s quaternion number system is a non-commutative extension of the complex numbers...

On the distribution of eigenvalues of GUE and its minors at fixed index

3 months ago

I’ve just the arXiv the paper “On the distribution of eigenvalues of...

AI for Math fund

4 months ago

Renaissance Philanthropy and XTX Markets have announced the launch of the AI...

On several irrationality problems for Ahmes series

4 months ago

Vjeko Kovac and I have just uploaded to the arXiv my paper...

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

5 months ago

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

The elephant in the room

5 months ago

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

Climbing the cosmic distance ladder: launching an instagram

5 months ago

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