Past Events

The growth, form, and division of membrane-bound vesicles and organelles is a unifying motif across biology. Membranes form the boundaries of the nucleus and cell, organelles such as mitochondria and endoplasmic reticulum, and vesicles used to...

Cubical sets with connections model (∞,1)-categories via the cubical Joyal model structure, constructed and shown to be equivalent to the Joyal model structure on simplicial sets by Doherty-Kapulkin-Lindsey-Sattler. In the same work, an analogous...

Fractional-step methods are a popular and powerful divide-and-conquer approach for the numerical solution of differential equations. When the integrators of the fractional steps (the sub-integrators) are Runge-Kutta methods, such methods can be...

There are several notions that are used to characterize algebraic varieties in terms of their similarity to a projective space. Two of these notions are rationality and unirationality. The problem of determining whether a variety is rational or...

Graphs having three distinct eigenvalues are a fundamental object of study in spectral graph theory. Strongly regular graphs are the most well-studied examples. In 1995, at the 15th British Combinatorial Conference, Willem Haemers asked do there...

Given a family R of rectangles in the plane, the packing number of R, denoted by $\nu$(R), is the maximum size of a set of pairwise disjoint rectangles in R, and the hitting number, denoted by $\tau$(R), is the minimum size of a set of points having...

The Riemann zeta function plays a central role in our understanding of the prime numbers. In this talk we will review some of its amazing properties as well as properties of other similar functions, the Dirichlet L-functions. We will then see how the...

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.