Title: A Recommendation Systems Approach for Detecting Epistasis Abstract: There are a variety of methods used to understand and interpret an organism’s phenotype, the physical expression of one or more genes. Epistasis, the phenomenon of one mutation affecting the resulting quantitative or qualitative phenotype, is used to assess gene variation in an attempt to find […]
It is widely believed that Weierstrass ignored Eisenstein's theory of elliptic functions and developed an alternative treatment, which is now standard, because of a convergence issue. In particular, the Eisenstein series of weight two does not converge absolutely while Eisenstein's theory assigned a value to this series. It is now well-known that the quantity which […]
Title: Clouds and Climate Prof. Tapio Schneider Theodore Y. Wu Professor of Environmental Science and Engineering California Institute of Technology Abstract: Clouds are an essential regulator of climate. They cool […]
Title: Exploring Phage Treatment for Bacterial Infections with Mathematical Modeling Abstract: Antimicrobial resistance (AMR) is a serious threat to global health today. A renewed interest in phage therapy – the […]
We consider the problem of comparing the number of discrete points that belong to a set with the measure (or volume) of the set, under circumstances where we expect these two numbers to be approximately equal. We start with a locally compact, abelian, topological group G. We assume that G has a countably infinite, torsion […]
Title: Topological descriptions of protein folding Speaker: Prof. Helen Wong, Department of Mathematical Sciences, Claremont-McKenna College. Abstract: Knotting in proteins was once considered exceedingly rare. However, systematic analyses of solved […]
Title: Understanding Complex Social Systems using Minimal Mathematical Models Abstract: Minimal mathematical models are used to understand complex phenomena in the physical, biological, and social sciences. This modeling philosophy never […]
Hassett spaces in genus 0 are moduli spaces of weighted pointed stable rational curves; they are important in the minimal model program and enumerative geometry. We compute the Chow ring of heavy/light Hassett spaces. The computation involves intersection theory on the toric variety corresponding to a graphic matroid, and rests upon the work of Cavalieri-Hampe-Markwig-Ranganathan. […]
Title: Projections on Banach spaces and a lifting property of operators Prof. Maria Fernanda Botelho Department of Mathematical Sciences The University Of Memphis Abstract: In this talk I will present properties of contractive projections and explain their role in the existence of norm preserving lifts of operators. A pair of Banach spaces (X, J), with […]
Title: Collective motion in the mitotic spindle Abstract: Math models of interacting individuals moving as a collective have been profoundly successful in describing physical and social phenomena ranging from swarming insects […]
We will discuss the sparsity of the solutions to systems of linear Diophantine equations with and without non-negativity constraints. The sparsity of a solution vector is the number of its nonzero entries, which is referred to as the 0-norm of the vector. Our main results are new improved bounds on the minimal 0-norm of solutions […]
