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Tensor triangular geometry associates a rich geometric structure, the spectrum, to a “nice” category where one can add, subtract and multiply objects. Examples include modules over a commutative ring and representations of a finite group. I’ll give...

Let C be a class of algebraic structures. For example, C could be a class of quadratic forms, field extensions or algebraic curves of a given genus. To measure the complexity of C, mathematicians ask a natural question: how many algebraically...

Latent Dirichlet Allocation and Text embeddings have revolutionized the use of text as data leading to vastly improved document clustering and retrieval and recommender systems by finding lower dimensional structure in the text. Furthermore, these...

I will tell the story of a mathematical problem which can be understood and tested by a child, yet which has resisted solution for over a century, in spite of the efforts of many prominent mathematicians. I will describe in parallel the development...