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Title: Mathematical modeling of polymerization processes in physiology Abstract: Polymerization, or aggregation, is essential for many physiological systems. For example, the emergence of a fibrin polymer mesh during the formation of a blood clot is required for a stable clot and long-term, sustained intracellular transport in neurons rely on persistent yet dynamic polymers that comprise the […] |
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"A Tale of Two Cities" is a novel told in three books/parts. Here we describe three projects related both to published work and ongoing pieces: PROJECT 1: In the world of combinatorics, parking functions are combinatorial objects arising from the situation of parking cars under a parking strategy. In this part of the talk, we […] |
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Title: Packing lines, minimizing energy, and applications to communications Speaker: Josiah Park, Department of Mathematics, Texas A&M University Abstract: Structured geometric point sets play important roles in coding theory, mathematical […] |
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The members of the “Invisible College” and the early Royal Society championed an experimental approach to the study of nature as the proper path to the advancement of knowledge and […]
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Title: Randomized Sums of Graph Spectra Abstract: The adjacency matrix of an Erdős-Rényi-Gilbert graph is a random symmetric matrix whose entries are Bernoulli random variables. These entries, modulo the constraints […] |
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Given a degree d polynomial f(x) in Q, consider the subset S_f of Q consisting of rational numbers t for which the translated polynomial f(x) - t factors completely in […] |
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Title: Shape Optimization: Old and New Speaker: Edouard Oudet, LJK, Université Grenoble Alpes Abstract: We first introduce what is shape Optimization and the most classical problems of the field like the […] |
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We introduce a family of norms on the space of self-adjoint trace class symmetric tensor power of linear operators acting on an infinite-dimensional Hilbert space. Our technique is to extend […] |
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Title: Data-driven large eddy simulation of atmospheric turbulence Abstract: Over the last few years, machine learning has been critical in science and engineering and emerged as a data-driven turbulence model. […] |
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The Mahler measure of a polynomial is the modulus of its leading term multiplied by the moduli of all roots outside the unit circle. The Mahler measure of an algebraic […] |
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Title: Decision Problems in Low-Dimensional Topology Speaker: Kate Petersen, Department of Mathematics and Statistics, CSU, University of Minnesota Duluth Abstract: Due to Perelman’s proof of the Geometrization conjecture every closed 3-manifold can […] |
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The Human Betterment Foundation was a pro-eugenics think-tank operating in the 1930s and early 1940s out of Pasadena, California. Its aim was to influence public and medical opinion in favor […]
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Title: Scattering Resonances Through Subwavelength Holes and Their Applications in Imaging and Sensing Abstract: The so-called extraordinary optical transmission (EOT) through metallic nanoholes has triggered extensive research in modern plasmonics […] |
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Title: Using Mutual Information of Hypergraph Compressions for Clustering Abstract: Hypergraphs are often used to represent higher order observed relationships between subjects of study. In particular, the vertices of a […] |
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Young diagrams are all possible arrangements of n boxes into rows and columns, with the number of boxes in each subsequent row weakly decreasing. For a partition λ of n, […] |
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Let x_1,...,x_n be an overdetermined spanning set for the Euclidean space R^k, where n > k. Let L be the integer span of these vectors. Then L is an additive subgroup of R^n. When is it discrete in R^n? Naturally, this depends on the choice of the spanning set, but in which way? We will […] |
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