Past Events

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...

For a standard-graded polynomial ring R, the d-Veronese subring is generated as a k-algebra by degree d monomials, is Koszul, and its defining ideal is quadratic, binomial, and determinantal. In this talk, I will discuss what happens if we instead...

A fundamental problem in artificial intelligence is how to simultaneously deploy data from different sources, such as audio, images, text, and video, collectively known as multimodal data. In this talk, I will present a mathematical framework for...

Let F be a homogeneous polynomial of degree n in at least d 2 + 1 variables over the p-adic numbers, Q p . Artin conjectured that such F always have nontrivial zeros in any p -adic field. Although this has been shown to be false in general, the...

Graph toughness, introduced by Chvátal in 1973, is a key measure of how well different parts of a graph are connected, with implications for Hamiltonicity, spanning trees, connectivity, and more. We derive new bounds on graph toughness and confirm...

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...

We give a new proof that translation-invariant free Fermion frustration-free models have zero Hall conductance. The central argument is that in frustration-free models, edge modes can’t merge into the ground state band. We also give an example of...

Cell migration plays a role in many contexts including cancer cell metastasis and wound healing. Better characterizing the process can help us slow down or speed up cells and improve related conditions. To this end, we developed two different models...

Abstract TBA

Students of grades 5 to 7 are invited to challenge and develop their thinking and creativity skills at the Math Circle Workshops. This is an enrichment program for students organized by the faculty members of the Department of Mathematics at the...