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The most intensely studied models of quantum gravity converge to metrics of negative curvature in the semiclassical limit. However, Einstein’s theory of gravity posits a positive curvature metric, and the gravity in our universe is believed to be of...

Abstract: It is not a new observation that the problem of finding gates for quantum computation, and the associated problem of quantum circuit synthesis, can be understood using mathematical tools that have developed in the Langlands program. In this...

Abstract: In recent years, nonlinear Black–Scholes equations have gained significant attention for their improved accuracy in option pricing, as they account for more realistic market conditions. These include factors such as transaction costs...

Abstract: The assignment problem pairs workers with tasks at the lowest total cost. But costs are often measured, estimated, and rounded. How much error can we tolerate? Classical sensitivity analysis furnishes an answer, but only after the fact. We...

The mathematical modelling of MS so far has focused on a few aspects of the disease, but an overall modelling framework is missing. Here we propose a paradigm for the mathematical modelling of MS. Based on biological principles we propose s sequence...

Let $f$ be a rational map of degree at least two. The solutions of $fn(x)=α$, as $n$ varies, form an infinite rooted tree on which the absolute Galois group acts. A central question in arithmetic dynamics is when the resulting arboreal Galois...

We’ll discuss uniqueness problems for free boundary minimal surfaces and related settings, including the so-called critical catenoid.

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...