Past Events

In joint work with Hans-Joachim Baues, we study track categories (i.e., groupoid-enriched categories) endowed with additive structure similar to that of a 1-truncated DG-category, except that composition is not assumed right linear. We show that if...

In 1987, Aizenman, Kesten, and Newman proved that percolation on Z^d always has at most one infinite cluster a.s. While their proof has mostly been eclipsed by the more general and arguably more elegant proof of Burton and Keane, the Aizenman-Kesten...

Cell migration is a fundamentally important phenomenon underlying wound healing, tissue development, immune response and cancer metastasis. Understanding basic physics of the cell migration presented a great challenge until, in the last three decades...

Following the framework of Rubinstein and Sarnak for Chebyshev's bias, one obtains a limiting logarithmic distribution μ. Then assuming that the zeros of the L-functions are linearly independent over Q, one can show that the distribution μ is smooth...

Mirror symmetry describes a surprising duality between symplectic geometry and complex geometry, coming from a duality between certain models of string theory. Of particular interest in these theories is the question: "what are the observable...

Compressive sensing (CS) is a general paradigm that enables us to measure objects (such as images, signals, or functions) by using a number of linear measurements proportional to their sparsity, i.e. to the minimal amount of information needed to...

In early 90's, there are two mathematical theories motivated by physics, Verlinde theory counting the number of generalized theta function on a curve and quantum cohomology counting the number of holomorphic maps. Early explicit computation shows...

Cambridge declared its first Senior Wrangler in 1748 (John Bates), the student who finished highest in the 3rd year undergraduate, so-called Mathematical Tripos Exams. The Maths Tripos Exams run approximately for 60 hours over a period of 10 days...

The “cap set” problem asks the following question. Let S be a subset of an n-dimensional vector space over F_3 such that no three distinct elements of S are collinear. How big can S be? This is related to classical number theory questions about sets...

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