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This talk discusses a puzzle called “Spinning Switches,” based on a problem popularized by Martin Gardner in his February 1979 column of “Mathematical Games". This puzzle can be generalized to […]
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Title: Between Yes and No: making decisions under uncertainty. Speaker: Ami Radunskaya, Department of Mathematics and Statistics, Pomona College Abstract: Often we attempt to answer a question with a “yes” or a […] |
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Title: Understanding scientific fields with network analysis and topic modeling Abstract: As scientific disciplines get larger, it becomes impossible for an individual researcher to be familiar with the entire body of literature, which forces them to specialize in a sub-field. Such insulation can hinder the birth of ideas that arise from new connections, eventually slowing down […] |
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The slice rank polynomial method, motivated by groundbreaking work of Croot, Lev and Pach and refined by Tao, has opened the door to the resolution of many problems in extremal combinatorics. We survey these results and discuss contributions in several of the speaker's recent papers. |
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Title: How do mathematicians believe? Speaker: Brian P Katz (BK), Department of Mathematics and Statistics, CSU, Long Beach Abstract: Love it or hate it, many people believe that mathematics gives humans access to a kind of truth that is more absolute and universal than other disciplines. If this claim is true, we must ask: what makes the […] |
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Let \mathcal{L}(X,Y) denote the normed vector space of all continuous operators from \(X\) to \(Y\), \(X^*\) be the dual space of \(X\), and \(\mathcal{K}(X,Y)\) denote the collection of all compact operators from \(X\) to \(Y\). Denote by \(T^{*} \in \mathcal{L}(Y^{*}, X^{*} )\) the adjoint operator of \(T\in \mathcal{L} (X, Y)\). The well known theorem of […] |
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Title: Approximating Quasi-Stationary Distributions with Interacting Reinforced Markov Chains Abstract: An important question in ecology is what conditions must be met for a population of interacting species to coexist. In realistic models of such populations, after a large enough amount of time has passed, one or more of the species are sure to face extinction. […] |
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Given a lattice L, an extension of L is a lattice M of strictly greater rank so that L is equal to the intersection of the subspace spanned by L with M. In this talk, we will discus constructions of such lattice extensions with particular geometric invariants of M, such as the determinant, covering radius […] |
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Title: Human Computers in Astronomy: Women Astronomers at Mount Wilson Observatory during the Early Twentieth Century Speaker: Eun-Joo Ahn, Department of History, UC Santa Barbara Abstract: Mount Wilson Observatory was founded by astrophysicist George Ellery Hale in 1904 with funding from the Carnegie Institution of Washington. Since then, it has become one of the most prominent […] |
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Quantum metrics in the sense of Rieffel were introduced to prove some statements arising in the high-energy physics literature. Since then, the area of quantum metric geometry has been used to answer questions stemming from within mathematics as well. To prove such results, it is often the case that certain properties of a quantum metric […] |
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The relation of accessible points in a projective incidence plane defined by Coxeter in the 1960s is the focus of my narrative. It reveals historical pathways bookending the 19th and 20th centuries that bring G.K.C. von Staudt, Mario Pieri, Marvin Greenberg and others into the conversation. The published references to Coxeter’s theory, including his own, […]
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Title: Kolmogorov, Onsager and a Dyadic Model for Turbulence Abstract: We will briefly review Kolmogorov’s ( 41) theory of homogeneous turbulence and Onsager’s ( 49 ) conjecture that in 3-dimensional turbulent flows energy dissipation might exist even in the limit of vanishing viscosity. Although over the past 70 years there is a vast body of […] |
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Markov chains have become widely-used to generate random political districting plans. These random districting plans can be used to form a baseline for comparison, and any proposed districting plans that differ significantly from this baseline can be flagged as potentially gerrymandered. However, very little is rigorously known about these Markov chains - Are they irreducible? […] |
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Title: Frequentist Model Averaging in the Generalized Multinomial Logit Model Speaker: Tonia Zeng, Applied Business Sciences and Economics, University of La Verne Abstract: The generalized multinomial logit (GMNL) model accommodates scale heterogeneity to the random parameters logit (RPL) model. It has been often used to study people's preferences and predict people's decisions in many areas, […] |
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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 biology, computational chemistry, wireless communications, compressed sensing, and 'big data' applications due to their often desirable statistical properties for measurement and transmission. Best packings of […] |
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