Past Events

The Manickam-Miklós-Singhi Conjecture states that for positive integers n and k with n > (4k - 1), a multi-set X = {x_1,x_2, … ,x_n} with real entries and nonnegative sum has at least \binom{n-1}{k-1} subsets of size k with nonnegative sum. This talk...

Recently, Mohar introduced a variant of the cops and robber game that is played on geodesic spaces. In this talk we discuss the rules of the game and strategies for the players when the game is played on compact surfaces of constant curvature, in...

We prove an explicit formula for the first moment of Maass form symmetric square L-functions defined over Gaussian integers. As a consequence, we derive a new upper bound for the second moment. This is joint work with Dmitry Frolenkov.

What is the behavior of the longest increasing subsequence of a uniformly random permutation? Its length is of order 2n1/2 plus Tracy--Widom fluctuations of order n1/6. Its scaling limit is the directed geodesic of the directed landscape. This talk...

Stochastic parameterizations (SMCM) are continuously providing promising simulations of unresolved atmospheric processes for global climate models (GCMs). One of the features of earlier SMCM is to mimic the life cycle of the three most common cloud...

Probabilistic zero-forcing can be thought of as a model for rumour spreading, where a person is more likely to spread a rumour if several of their friends already believe it. We start with a graph that has one infected vertex. At each time step an...

Nonsmoothness and nonconvexity are significant challenges in large-scale optimization problems, such as training neural networks and solving inverse problems in computational imaging. Although first-order methods are commonly used to address these...

The Cobordism Hypothesis, as proposed by Baez and Dolan in 1995, provides a classification of n-extended Topological Quantum Field Theories (TQFTs). A n-extended TQFT is a symmetric monoidal n-functor from the n-category of cobordisms to an arbitrary...

The nonlinear incidence mechanism is a more general disease transmission mechanism to fit the data in clinical observations or laboratory experiments. In a heterogeneous environment, how to describe the cognitive dispersal of individuals is also an...

For a noisy channel, the stationary capacity is the supremum of information rates achievable by stationary input processes. The Markov capacity of a given order is the supremum of information rates achievable by stationary Markov input processes of...