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Latest posts

Last updated 5 days ago

Some slides from Basel

5 days ago

I have just returned from Basel, Switzerland, on the occasion of the...

Louis Nirenberg

25 days ago

I just heard the news that Louis Nirenberg died a few days...

Equidistribution of Syracuse random variables and density of Collatz preimages

26 days ago

Define the Collatz map on the natural numbers by setting to equal...

Some recent papers

about 1 month ago

Just a brief post to note some interesting papers in my fields...

Elgindi’s approximation of the Biot-Savart law

about 2 months ago

Let be a divergence-free vector field, thus , which we interpret as...

254A, Notes 10 – mean values of nonpretentious multiplicative functions

2 months ago

Let us call an arithmetic function -bounded if we have for all...

Maryam Mirzakhani New Frontiers Prize

2 months ago

Just a short post to announce that nominations are now open for...

Eigenvectors from Eigenvalues: a survey of a basic identity in linear algebra

3 months ago

Peter Denton, Stephen Parke, Xining Zhang, and I have just uploaded to...

An uncountable Moore-Schmidt theorem

3 months ago

Asgar Jamneshan and I have just uploaded to the arXiv our paper...

254A, Notes 9 – second moment and entropy methods

3 months ago

In these notes we presume familiarity with the basic concepts of probability...

Almost all Collatz orbits attain almost bounded values

5 months ago

I’ve just uploaded to the arXiv my paper “Almost all Collatz orbits...

254A announcement: Analytic prime number theory

6 months ago

In the fall quarter (starting Sep 27) I will be teaching a...