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DTSTART;TZID=America/Los_Angeles:20221026T161500
DTEND;TZID=America/Los_Angeles:20221026T173000
DTSTAMP:20260411T133838
CREATED:20220830T231139Z
LAST-MODIFIED:20220928T195647Z
UID:2806-1666800900-1666805400@colleges.claremont.edu
SUMMARY:Frequentist Model Averaging in the Generalized  Multinomial Logit Model  (Prof. Tonia Zeng)
DESCRIPTION:Title: Frequentist Model Averaging in the Generalized Multinomial Logit Model \nSpeaker: Tonia Zeng\, Applied Business Sciences and Economics\, University of La Verne \nAbstract: 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\, such as health economics\, marketing\, agricultural studies\, transportation research and public policy. However\, there are few works studying the efficiency of this model estimator and the corresponding estimation and prediction risks. In this paper\, we use a frequentist model averaging (FMA) estimator to reduce the estimation and prediction risks of the GMNL model estimator. We show that the asymptotic squared error risk of the FMA estimator dominates that of the GMNL model estimator. The accuracy of the predicted choices is also higher based on the FMA estimates compared to the results based on the GMNL estimates. In the empirical analyses\, using the FMA estimator improves the percentage of correct predicted choices by 10% compared to the results based on the GMNL estimates. This paper provides a more efficient alternative to the GMNL model to capture people’s preferences and predict people’s choices. \n\n\n\n\n\nTong (Tonia) Zeng is an economics professor\, specializing in econometrics at the University of La Verne. She is visiting in the Institute of Mathematical Sciences at Claremont Graduate University this semester. Her research interests include discrete choice models\, model averaging and machine learning.
URL:https://colleges.claremont.edu/ccms/event/tonia-zeng/
LOCATION:Humanities Auditorium\, Scripps College\, and Zoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.1035221214;-117.709766675
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221031T161500
DTEND;TZID=America/Los_Angeles:20221031T171500
DTSTAMP:20260411T133838
CREATED:20220909T224518Z
LAST-MODIFIED:20221026T145641Z
UID:2849-1667232900-1667236500@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Anna Nelson (Duke)
DESCRIPTION:Title: Mathematical modeling of polymerization processes in physiology\n\nAbstract: 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 microtubule cytoskeleton. In the first part of the talk\, I will discuss a kinetic polymerization model that represents the formation of a fibrin polymer mesh with interactions with its precursor molecule\, fibrinogen. With this model\, we investigate how fibrin-fibrinogen interactions can impact gel structure (such as concentration of branch points) and gel time. In the second part\, I will introduce a stochastic mathematical model of individual microtubule growth and catastrophe in the dendrite of a neuron. Using parameters informed by experimental data\, we explore what mechanisms could control the equilibrium microtubule length and validate these mechanisms using fluorescence microscopy data.  \n\n 
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-anna-nelson-duke/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221101T121500
DTEND;TZID=America/Los_Angeles:20221101T131000
DTSTAMP:20260411T133838
CREATED:20220906T211012Z
LAST-MODIFIED:20221031T180722Z
UID:2839-1667304900-1667308200@colleges.claremont.edu
SUMMARY:A tale of two worlds: parking functions &  reduction algebras (Dwight Anderson Williams II\, Pomona)
DESCRIPTION:“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: \nPROJECT 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 will refresh the notion of classical parking functions given by the classical parking rules/strategy. We will then state an interesting correspondence between certain classical parking functions and so-called ideal states of the famous Tower of Hanoi game. This work is to appear in The American Mathematical Monthly with the following co-authors: Y. Aguillon\, D. Alvarenga\, P.E. Harris\, S. Kotapati\, J.C. Martinez Mori\, C. Monroe\, Z. Saylor\, and C. Tieu. \nPROJECT 2: In the world of algebra\, we shed light on representation theory of Lie superalgebras by constructing reduction algebras. These algebras provide structures to study in their own right\, and we give an example in presenting the diagonal reduction algebra of $osp(1|2)$\, first described in a joint paper with Jonas T. Hartwig. \nPROJECT 3: Continuing down an algebraic pathway\, we summarize the general framework given by Zhelobenko to apply representation theory of reduction algebras as a method to solve equations. Fixing equations important to the study of physics has led to recent work with Jonas T. Hartwig and Erin Dolecheck\, as well\, Irmak Bukey.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-dwight-anderson-williams-ii-pomona/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221102T161500
DTEND;TZID=America/Los_Angeles:20221102T173000
DTSTAMP:20260411T133838
CREATED:20220912T190050Z
LAST-MODIFIED:20221021T160045Z
UID:2912-1667405700-1667410200@colleges.claremont.edu
SUMMARY:Prof. Josiah Park
DESCRIPTION:Title: Packing lines\, minimizing energy\, and applications to communications \nSpeaker: Josiah Park\, Department of Mathematics\, Texas A&M University \nAbstract: 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 lines (known as Grassmannian packings) have desirable properties for Multiple-Input Multiple-Output (MIMO) wireless transmission and specific instances of these minimal coherence systems\, like equiangular tight frames have a number of interesting mathematical properties. I’ll describe in this talk some research which investigates numerical phenomena related to the point sets\, detailing several results on continuous ‘probabilistic’ energies. In addition I’ll talk about some experiments using parallelized computation and optimization methods like trust-region conjugate gradient to numerically generate good packings. Parts of the talk are represented by collaborations with D. Bilyk\, A. Glazyrin\, R. Matzke\, C. Saltijeral\, O. Vlasiuk\, and M. Zhong. \n\n\n\n\n\nJosiah Park\, Ph. D. is a Visiting Assistant Professor and NSF TRIPODS postdoctoral fellow at Texas A&M University working on the “Neural Network Approximation” project within the Center for Approximation and Mathematical Data Analytics. Josiah is currently a core member at UCLA for the IPAM program on computational microscopy. Previously\, he received his doctorate in mathematics at the Georgia Institute of Technology in 2020 under supervision of Professors Christopher Heil and Michael Lacey.
URL:https://colleges.claremont.edu/ccms/event/prof-josiah-park/
LOCATION:Humanities Auditorium\, Scripps College\, and Zoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.1035221214;-117.709766675
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221105T100000
DTEND;TZID=America/Los_Angeles:20221105T120000
DTSTAMP:20260411T133838
CREATED:20221027T165011Z
LAST-MODIFIED:20221027T165241Z
UID:2973-1667642400-1667649600@colleges.claremont.edu
SUMMARY:GEMS November 5th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-november-5th-session/
LOCATION:Shanahan 1480\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221107T150000
DTEND;TZID=America/Los_Angeles:20221107T160000
DTSTAMP:20260411T133838
CREATED:20221014T174352Z
LAST-MODIFIED:20221014T174352Z
UID:2962-1667833200-1667836800@colleges.claremont.edu
SUMMARY:The Sceptical Mathematician: How John Wallis Saved Mathematics for the Royal Society (Amir Alexander\, UCLA)
DESCRIPTION: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 the preservation of civic peace. Mathematics\, while admired\, was also viewed with suspicion\, as potentially dogmatic and coercive. John Wallis\, the leading mathematician in the group\, set out to reconcile his field with the ideals of the early Royal Society by developing a radical new approach. Whereas traditional mathematics prided itself on irrefutable deductive proofs\, Wallis’ approach relied on material intuition\, inductive reasoning\, and truth-claims founded on consensus\, not coercion. It was a new mathematics modeled on the Society’s experimental philosophy.
URL:https://colleges.claremont.edu/ccms/event/the-sceptical-mathematician-how-john-wallis-saved-mathematics-for-the-royal-society-amir-alexander-ucla/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:History and Philosophy of Mathematics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221107T161500
DTEND;TZID=America/Los_Angeles:20221107T171500
DTSTAMP:20260411T133838
CREATED:20220913T161358Z
LAST-MODIFIED:20230816T041034Z
UID:2921-1667837700-1667841300@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Angel Chavez (Pomona)
DESCRIPTION:Title: Randomized Sums of Graph Spectra \nAbstract:\nThe adjacency matrix of an Erdős-Rényi-Gilbert graph is a random symmetric matrix whose entries are Bernoulli random variables. These entries\, modulo the constraints imposed by symmetry\, are independent. We aim to understand the asymptotic behavior of randomized sums of the spectra and singular spectra of these matrices. In particular\, we establish several central-limit type theorems for these randomized sums of eigenvalues and singular values.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-angel-chavez-pomona/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221108T121500
DTEND;TZID=America/Los_Angeles:20221108T131000
DTSTAMP:20260411T133838
CREATED:20220824T204820Z
LAST-MODIFIED:20221031T203245Z
UID:2787-1667909700-1667913000@colleges.claremont.edu
SUMMARY:Factoring translates of polynomials (Arvind Suresh\, University of Arizona - Tucson)
DESCRIPTION:Given a degree d polynomial f(x) in Q[x]\, consider the subset S_f  of Q consisting of rational numbers t for which the translated polynomial f(x) – t factors completely in Q[x]. For example\, if f is linear or quadratic then S_f is always infinite\, but if degree of f is at least 3\, then interesting things can happen. In this talk\, we discuss a connection between the set S_f and the classical Prouhet–Tarry–Escott problem (which asks for integer solutions to certain symmetric family of equations)\, and we present two infinite families of polynomials f for which S_f is infinite (upon replacing Q with certain number fields). Time permitting\, we outline how these can then be used to produce algebraic curves over number fields having a record number of rational points (relative to their genus).
URL:https://colleges.claremont.edu/ccms/event/antc-talk-arvind-suresh-university-of-arizona-tucson/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221109T161500
DTEND;TZID=America/Los_Angeles:20221109T173000
DTSTAMP:20260411T133838
CREATED:20220830T231225Z
LAST-MODIFIED:20221025T193152Z
UID:2807-1668010500-1668015000@colleges.claremont.edu
SUMMARY:Prof. Edouard Oudet
DESCRIPTION:Title: Shape Optimization: Old and New \nSpeaker: Edouard Oudet\,  LJK\, Université Grenoble Alpes \nAbstract: We first introduce what is shape Optimization and the most classical problems of the field like the isoperimetric problem\, the study of minimal surfaces\, the characterization of irrigation networks\, etc. In a second step we focus on a more recent question related to Lebesgue-Santalo diagrams.  We show how tools from discrete geometry contributed to approximate in a very precise and efficient way these diagrams. \n\n\n\n\n\nEdouard Oudet is Professor of Applied Mathematics at University Grenoble Alpes and a member of Laboratoire Jean Kuntzmann  since 2010. His research interests include calculus of variation\, shape optimization\, optimal transportation and spectral theory. He has supervised or co-supervised 8 PhD theses and has written 50 articles in peer-reviewed international journals (ARMA\, Numerische Mathematik\, SIMA\, SICON\, JMIV\, . . . ). Since October 2022 he is a senior member of the IUF “Institut Universitaire de France”.
URL:https://colleges.claremont.edu/ccms/event/edouard-oudet/
LOCATION:Humanities Auditorium\, Scripps College\, and Zoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.1035221214;-117.709766675
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221110T160000
DTEND;TZID=America/Los_Angeles:20221110T170000
DTSTAMP:20260411T133838
CREATED:20221110T225833Z
LAST-MODIFIED:20221110T230507Z
UID:2991-1668096000-1668099600@colleges.claremont.edu
SUMMARY:Norms on self-adjoint symmetric tensor power of linear operators on Hilbert spaces (Yunied Puig de Dios\, CMC)
DESCRIPTION: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 to infinite dimension an original and nice idea of a very recent result by K. Aguilar\,  Á. Chávez\, S. R. Garcia and J. Volčič\, in which the authors introduce a family of norms on the space of n x n  complex matrices induced by complete homogeneous symmetric polynomials. This is a work in progress paper\, so it goes without saying that it will be very much appreciated any comment or/and suggestion coming from the audience. This is joint work with K. Aguilar\, Á. Chávez and S. R. Garcia.
URL:https://colleges.claremont.edu/ccms/event/norms-on-self-adjoint-symmetric-tensor-power-of-linear-operators-on-hilbert-spaces/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221114T161500
DTEND;TZID=America/Los_Angeles:20221114T171500
DTSTAMP:20260411T133838
CREATED:20220919T154642Z
LAST-MODIFIED:20221101T152658Z
UID:2932-1668442500-1668446100@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Jahrul Alum (Memorial University of Newfoundland)
DESCRIPTION:Title: Data-driven large eddy simulation of atmospheric turbulence \nAbstract: Over the last few years\, machine learning has been critical in science and engineering and emerged as a data-driven turbulence model. However\, machine learning depends on training data from previous experiments on turbulent flows. Typically\, training data capture only a fraction of the active scales of turbulence. Despite decades of research\, the best turbulence theory has yet to emerge\, which limits the training of supervised machine learning models. Reinforcement learning is one way to alleviate these challenges. A reinforcement learning model interacts directly with the dynamical system itself. In this talk\, I will use the Burgers equation to illustrate data-driven learning of dynamical systems. Then\, I use simulations of a NACA airfoil and a wind farm to outline the reinforcement learning framework. Finally\, the talk presents a proof of concept for optimizing large eddy simulation through reinforcement learning.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-jahrul-alum-memorial-university-of-newfoundland/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221115T121500
DTEND;TZID=America/Los_Angeles:20221115T131000
DTSTAMP:20260411T133838
CREATED:20220823T003904Z
LAST-MODIFIED:20221102T220943Z
UID:2786-1668514500-1668517800@colleges.claremont.edu
SUMMARY:Minimal Mahler measure in number fields (Kate Petersen\, University of Minnesota Duluth)
DESCRIPTION: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 number b\, M(b) is the Mahler measure of its minimal polynomial. By a result of Kronecker\, an algebraic number b satisfies M(b)=1 if and only if b is a root of unity. Famously\, Lehmer asked if there are algebraic numbers with Mahler measures arbitrarily close to 1 (but not equal to 1). We will investigate the minimal Mahler measure of a number field.  For a number field K this is the smallest Mahler measure of a non-torsion generator for K\, written M(K). There are known upper and lower bounds for M(K) in terms of the degree and discriminant of K.  Focusing on cubics\, we will discuss how these bounds correspond to other properties of the number field\, and the sharpness of these bounds.  This is joint work with Lydia Eldredge.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-kate-petersen-university-of-minnesota-duluth/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221116T161500
DTEND;TZID=America/Los_Angeles:20221116T173000
DTSTAMP:20260411T133838
CREATED:20220830T231344Z
LAST-MODIFIED:20221104T225945Z
UID:2808-1668615300-1668619800@colleges.claremont.edu
SUMMARY:Prof. Kate Petersen
DESCRIPTION:Title: Decision Problems in Low-Dimensional Topology \nSpeaker: Kate Petersen\, Department of Mathematics and Statistics\, CSU\, University of Minnesota Duluth \nAbstract: Due to Perelman’s proof of the Geometrization conjecture every closed 3-manifold can be decomposed into geometric pieces. These pieces exhibit one of Thurston’s eight model geometries.  This gives rise to the natural question: Given a 3-manifold how (quickly) can you determine its geometry?  We will discuss this question\, including some recent advances.  This is joint work with Neil Hoffman. \n\n\n\n\n\n\n\n\nMy research interests are in number theory and topology. After completing my undergraduate degree at Oberlin College\, I earned my PhD in 2005 at the University of Texas at Austin under the direction of Alan Reid.  My PhD work was in arithmetic groups\, which bridge number theory and topology.  Following my PhD I had a postdoc at Queen’s University in Kingston Ontario where I worked in number theory with Ram Murty.  I spent a semester visiting the Fields Institute before joining Florida State as a tenure-track Assistant Professor.  I earned tenure there in 2015.  In 2021 I joined the faculty of University of Minnesota Duluth where I am now the head of the Mathematics and Statistics Department.
URL:https://colleges.claremont.edu/ccms/event/kate-petersen/
LOCATION:Humanities Auditorium\, Scripps College\, and Zoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.1035221214;-117.709766675
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221121T150000
DTEND;TZID=America/Los_Angeles:20221121T160000
DTSTAMP:20260411T133838
CREATED:20221116T222616Z
LAST-MODIFIED:20221116T222616Z
UID:2996-1669042800-1669046400@colleges.claremont.edu
SUMMARY:Confronting the Legacy of the Human Betterment Foundation at Caltech 
DESCRIPTION: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 of sterilization of “socially undesirable elements”: disabled\, poor\, and racialized people. Many board members had ties to Caltech\, most notably Caltech’s then-president Robert Millikan. Upon the HBF’s disincorporation following its founder E.S. Gosney’s death in 1942\, the HBF’s financial assets were given to Caltech and its records were placed in the Caltech archives.\n\nPlease join us for a brief presentation by Jane Panangaden and collective discussion on the recent activism by Caltech students aimed at bringing the HBF’s activities to light and pushing the Caltech administration to make changes on campus. These changes include both symbolic recognition in the form of renaming buildings which previously honored HBF board members\, to material changes such as improvements to students’ health insurance plans and financial support for racially minoritized scholars. 
URL:https://colleges.claremont.edu/ccms/event/confronting-the-legacy-of-the-human-betterment-foundation-at-caltech/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:History and Philosophy of Mathematics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221121T161500
DTEND;TZID=America/Los_Angeles:20221121T171500
DTSTAMP:20260411T133838
CREATED:20220905T171325Z
LAST-MODIFIED:20230816T040911Z
UID:2830-1669047300-1669050900@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Junshan Lin (Auburn)
DESCRIPTION:Title: Scattering Resonances Through Subwavelength Holes and Their Applications in Imaging and Sensing \nAbstract:\nThe so-called extraordinary optical transmission (EOT) through metallic nanoholes has triggered extensive research in modern plasmonics and their applications in bio-sensing\, imaging\, etc. This talk aims to provide quantitative mathematical  theories to understand a variety of resonances that induce the EOT phenomenon and present mathematical studies for their applications in imaging and sensing. \nIn the first part of the talk\, based upon the layer potential technique\, asymptotic analysis and the homogenization theory\, I will present rigorous mathematical analysis to investigate the scattering resonances for several typical two-dimensional structures\, including Fabry-Perot resonance\, Fano resonance\, etc. In the second part of the talk\, mathematical studies for their applications in sensing and super-resolution imaging will be discussed. I will focus on the resonance frequency sensitivity analysis and how one can achieve super-resolution by using plasmonic nanohole structures.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-junshan-lin-auburn/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221128T161500
DTEND;TZID=America/Los_Angeles:20221128T171500
DTSTAMP:20260411T133838
CREATED:20220920T153253Z
LAST-MODIFIED:20221122T174526Z
UID:2939-1669652100-1669655700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Juergen Kritschgau (Carnegie Mellon)
DESCRIPTION:Title: Using Mutual Information of Hypergraph Compressions for Clustering\n\nAbstract: Hypergraphs are often used to represent higher order observed relationships between subjects of study. In particular\, the vertices of a hypergraph could represent the basic elements of study\, and edges represent observed relationships between the vertices. Implicitly\, the assumption is that observed edges are more (or less) likely to appear between vertices that are “similar”. Therefore\, an important question in data science is whether the edges of a hypergraph can be used to recover ground truth vertex labels where two vertices receive the same label if they are similar. This is known as the clustering problem. In this talk\, we will discuss how mutual information of hypergraph compressions can be used to cluster hypergraphs\, and apply this clustering strategy to synthetic and real world data sets.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-juergen-kritschgau-carnegie-mellon/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221129T122500
DTEND;TZID=America/Los_Angeles:20221129T131500
DTSTAMP:20260411T133838
CREATED:20221110T030247Z
LAST-MODIFIED:20221124T032038Z
UID:2989-1669724700-1669727700@colleges.claremont.edu
SUMMARY:Partial orders on standard Young tableaux( Gizem Karaali\, Pomona)
DESCRIPTION: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\, a standard Young tableau S of shape λ is built from the Young diagram of shape λ by filling it with the numbers 1 to n\, each occurring exactly once in such a way that the numbers are strictly increasing across rows (left to right) and down columns. Young diagrams with n cells are in one-to-one correspondence with the irreducible representations of the symmetric group Sn\,; the standard Young tableaux count the dimensions of these irreps and thus are some of the most essential objects of combinatorial representation theory and algebraic combinatorics. In this talk\, based on joint work with Isabella Senturia (PO’20) and Müge Taskin\, I will describe a handful of partial orders already defined on SYTn\, the set of all standard Young tableaux with n cells\, and propose a new one.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-gizem-karaali-pomona-2/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221130T161500
DTEND;TZID=America/Los_Angeles:20221130T173000
DTSTAMP:20260411T133838
CREATED:20220912T190237Z
LAST-MODIFIED:20220912T190237Z
UID:2914-1669824900-1669829400@colleges.claremont.edu
SUMMARY:Prof. Jack Wesley
DESCRIPTION:Speaker: Jack Wesley\, Department of Mathematics\, UC Davis
URL:https://colleges.claremont.edu/ccms/event/prof-jack-wesley/
LOCATION:Humanities Auditorium\, Scripps College\, and Zoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.1035221214;-117.709766675
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221201T160000
DTEND;TZID=America/Los_Angeles:20221201T170000
DTSTAMP:20260411T133838
CREATED:20221128T163157Z
LAST-MODIFIED:20221128T163157Z
UID:3003-1669910400-1669914000@colleges.claremont.edu
SUMMARY:On discrete subgroups of Euclidean spaces (Lenny Fukshansky\, CMC)
DESCRIPTION: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 review some classical results leading up to this question and then will discuss some more recent developments.
URL:https://colleges.claremont.edu/ccms/event/on-discrete-subgroups-of-euclidean-spaces-lenny-fukshansky-cmc/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221203T100000
DTEND;TZID=America/Los_Angeles:20221203T120000
DTSTAMP:20260411T133838
CREATED:20221027T165128Z
LAST-MODIFIED:20221027T165216Z
UID:2974-1670061600-1670068800@colleges.claremont.edu
SUMMARY:GEMS December 3rd Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-december-3rd-session/
LOCATION:Shanahan 1480\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221206T121500
DTEND;TZID=America/Los_Angeles:20221206T131000
DTSTAMP:20260411T133838
CREATED:20221130T053013Z
LAST-MODIFIED:20221130T053013Z
UID:3005-1670328900-1670332200@colleges.claremont.edu
SUMMARY:Positive semigroups in lattices and totally real number fields (Lenny Fukshansky\, CMC)
DESCRIPTION:Let  L be a full-rank lattice in R^n and write L+ for the semigroup of all vectors with nonnegative coordinates in L. We call a basis X for L positive if it is contained in L+. There are infinitely many such bases\, and each of them spans a conical semigroup S(X) consisting of all nonnegative integer linear combinations of the vectors of X. Such S(X) is a sub-semigroup of L+\, and we investigate the distribution of the gaps of S(X) in L+\, i.e. points in L+ outside of S(X). We describe some basic properties and counting estimates for these gaps. Our main focus is on the restrictive successive minima of these sets\, for which we produce bounds in the spirit of Minkowski’s successive minima theorem. We apply these results to obtain analogous bounds for the successive minima with respect to Weil height of totally positive sub-semigroups of ideals in totally real number fields. Joint work with Siki Wang (CMC’22).
URL:https://colleges.claremont.edu/ccms/event/positive-semigroups-in-lattices-and-totally-real-number-fields-lenny-fukshansky-cmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230125T161500
DTEND;TZID=America/Los_Angeles:20230125T173000
DTSTAMP:20260411T133838
CREATED:20230122T175532Z
LAST-MODIFIED:20230123T053430Z
UID:3036-1674663300-1674667800@colleges.claremont.edu
SUMMARY:No-arbitrage Pricing in a Market for Position on a Multilane Freeway (Prof. Henry Schellhorn\, CGU)
DESCRIPTION:Title: No-arbitrage Pricing in a Market for Position on a Multilane Freeway \nSpeaker: Henry Schellhorn\, Department of Mathematics\, Claremont Graduate University \nAbstract:  We introduce a trading mechanism allowing cars to change position in a multilane congested freeway by doing peer-to-peer transactions. For the car initiating the operation\, or incoming car\, the goal can be to increase speed\, to have less speed variability\, to join a platoon\, or to join an exit lane that is slower but full. We focus in this paper on the maneuver where the incoming car changes lanes by asking an adjacent car on a busy target lane (to the left or right) to slow down\, but we also consider the case where the incoming car asks the car in front of it to change lanes\, so that the incoming car takes its position but stays on the same lane. In both cases\, the incoming car pays a transaction fee. We solve the microscopic problem of determining these transaction fees by (i) embedding the problem in a macroscopic model and (ii) calculating fair lane prices by the no arbitrage condition. This no-arbitrage condition states that no future trajectory will always be better than all others in terms of both speed and money exchanged to change lanes. The terms “always better” has to be understood in a probabilistic sense: we analyze a stochastic model\, in order to include uncertainty in both the speed model and the drivers’ decisions. We highlight the advantages of no-arbitrage theory over a traditional expected utility maximization approach. First\, no-arbitrage pricing does not require any individual data\, whether on the driver’s risk-aversion\, preference of speed over money or increased safety\, or final destination. Second\, the macroscopic model that we use considers endogenously the global impact of any individual priced transaction\, as opposed to local models that require extraneous assumptions on the road conditions after the transaction. We implemented a simple case of our priced lane change model. After simulating it extensively\, we implemented it in real-time\, with 2 cars trading position on a freeway using macroscopic speed information to determine the transaction fee. \n\n\n\n\n\nHenry Schellhorn is professor of mathematics at Claremont Graduate University’s Institute of Mathematics Sciences and academic director of the Financial Engineering Program at the Drucker School of Management. His research focuses in the areas of Monte Carlo simulation\, credit risk management\, interest rate models\, queuing theory\, and combinatorial auctions.
URL:https://colleges.claremont.edu/ccms/event/prof-henry-schellhorn-2/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230131T121500
DTEND;TZID=America/Los_Angeles:20230131T131000
DTSTAMP:20260411T133838
CREATED:20230112T013416Z
LAST-MODIFIED:20230112T054807Z
UID:3021-1675167300-1675170600@colleges.claremont.edu
SUMMARY:Biquandle arrow weights (Sam Nelson\, CMC)
DESCRIPTION:Many knot invariants are defined from features of knot projections such as arcs or crossings. Gauss diagrams provide an alternative combinatorial scheme for representing knots. In this talk we will use Gauss diagrams to enhance the biquandle counting invariant for classical and virual knots using biquandle arrow weights\, a new algebraic structure without a clear geometric interpretation. This is joint work with Migiwa Sakurai (Shibaura Institute of Technology\, Tokyo).
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sam-nelson-cmc-3/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230201T161500
DTEND;TZID=America/Los_Angeles:20230201T173000
DTSTAMP:20260411T133838
CREATED:20230122T175931Z
LAST-MODIFIED:20230131T145826Z
UID:3037-1675268100-1675272600@colleges.claremont.edu
SUMMARY:Building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City (Prof. Joan Ponce\, Arizona State University)
DESCRIPTION:Title: Building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City\n\n\n\nSpeaker: Joan Ponce\, Department of Mathematics\, Arizona State University\n\nAbstract: Epidemiological models can provide the dynamic evolution of a pandemic but they are based on many assumptions and parameters that have to be adjusted over the time the pandemic lasts. However\, often the available data are not sufficient to identify the model parameters and hence infer the unobserved dynamics. We develop a general framework for building a trustworthy data-driven epidemiological model\, consisting of a workflow that integrates data acquisition and event timeline\, model development\, identifiability analysis\, sensitivity analysis\, model calibration\, model robustness analysis\, and projection with uncertainties in different scenarios.  In particular\, we apply this framework to propose a modified susceptible–exposed–infectious–recovered (SEIR) model\, including new compartments and model vaccination in order to project the transmission dynamics of COVID-19 in New York City (NYC). We find that we can uniquely estimate the model parameters and accurately project the daily new infection cases\, hospitalizations\, and deaths\, in agreement with the available data from NYC’s government’s website. In addition\, we employ the calibrated data-driven model to study the effects of vaccination and timing of reopening indoor dining in NYC.
URL:https://colleges.claremont.edu/ccms/event/prof-joan-ponce/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230204T100000
DTEND;TZID=America/Los_Angeles:20230204T120000
DTSTAMP:20260411T133838
CREATED:20230123T180832Z
LAST-MODIFIED:20230124T025718Z
UID:3050-1675504800-1675512000@colleges.claremont.edu
SUMMARY:GEMS February 4th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-february-4th-session/
LOCATION:Harvey Mudd College at the Shanahan Teaching and Learning Center\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230207T121500
DTEND;TZID=America/Los_Angeles:20230207T131000
DTSTAMP:20260411T133838
CREATED:20230202T190817Z
LAST-MODIFIED:20230202T190817Z
UID:3066-1675772100-1675775400@colleges.claremont.edu
SUMMARY:Orthogonality defect and coherence of cyclotomic lattices (Lenny Fukshansky\, CMC)
DESCRIPTION:There are two different measures of how far a given Euclidean lattice is from being orthogonal — the orthogonality defect and the average coherence. The first of these comes from the study of sphere packing while the second is motivated by frame theory\, but both of them have applications in digital communications\, especially in coding theory and cryptography. It is interesting to understand how the two are related. We investigate this question on an important class of cyclotomic lattices\, where some nice formulas can be derived and certain empirical observations can be made. Joint work with David Kogan.
URL:https://colleges.claremont.edu/ccms/event/orthogonality-defect-and-coherence-of-cyclotomic-lattices-lenny-fukshansky-cmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230208T161500
DTEND;TZID=America/Los_Angeles:20230208T173000
DTSTAMP:20260411T133838
CREATED:20230122T180304Z
LAST-MODIFIED:20230206T231015Z
UID:3038-1675872900-1675877400@colleges.claremont.edu
SUMMARY:The mathematics of neural networks: recent advances\, thoughts\, and the path forward (Prof. Mikhail Belkin\, UCSD)
DESCRIPTION:Title: The mathematics of neural networks: recent advances\, thoughts\, and the path forward \nSpeaker: Prof. Mikhail Belkin\, Department of Mathematics\, University of California San Diego \nAbstract: The recent remarkable practical achievements of neural networks have far outpaced our theoretical understanding of their properties. Yet\, it is hard to imagine that progress can continue indefinitely\, without deeper understanding of their fundamental principles and limitations. In this talk I will discuss some recent advances in the mathematics of neural networks and outline what\, in my opinion\, are some promising directions for future research. \n\n\n\n\n\nMikhail Belkin received his Ph.D. in 2003 from the Department of Mathematics at the University of Chicago. His research interests are in theory and  applications of machine learning and data analysis. Some of his well-known work includes widely used Laplacian Eigenmaps\, Graph Regularization and Manifold Regularization algorithms\, which brought ideas from classical differential geometry and spectral analysis to data science. His recent work has been concerned with understanding remarkable mathematical and statistical phenomena observed in deep learning. This empirical evidence necessitated revisiting some of the basic concepts in statistics and optimization.  One of his key recent findings is the “double descent” risk curve that extends the textbook U-shaped bias-variance trade-off curve beyond the point of interpolation. Mikhail Belkin has served on the editorial boards of the Journal of Machine Learning Research\, IEEE Pattern Analysis and Machine Intelligence and SIAM Journal on Mathematics of Data Science.
URL:https://colleges.claremont.edu/ccms/event/prof-mikhail-belkin/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230209T163000
DTEND;TZID=America/Los_Angeles:20230209T173000
DTSTAMP:20260411T133838
CREATED:20230208T193627Z
LAST-MODIFIED:20230213T200028Z
UID:3073-1675960200-1675963800@colleges.claremont.edu
SUMMARY:Linear Multifractional Stable Sheets in the Broad Sense: Existence and Joint Continuity of Local Times (Qidi Peng\, Institute of Mathematical Sciences\, CGU)
DESCRIPTION:We introduce the notion of linear multifractional stable sheets in the broad sense (LMSS) to include both linear multifractional Brownian sheets and linear multifractional stable sheets. The purpose of the framework is to study the existence and joint continuity of the local times of LMSS\, and also the local Holder condition of the local times in the set variable. As the main results\, (1) we provide a sufficient and necessary condition for the existence of local times of LMSS; (2) we show a sufficient condition for the joint continuity of local times; and (3) we prove a sharp local Holder condition for the local times in the set variable. All these theorems improve significantly the existing results for the local times of multifractional Brownian sheets and linear multifractional stable sheets in the literature.
URL:https://colleges.claremont.edu/ccms/event/linear-multifractional-stable-sheets-in-the-broad-sense-existence-and-joint-continuity-of-local-times-qidi-peng-institute-of-mathematical-sciences-cgu/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230215T161500
DTEND;TZID=America/Los_Angeles:20230215T173000
DTSTAMP:20260411T133838
CREATED:20230122T180444Z
LAST-MODIFIED:20230209T173448Z
UID:3039-1676477700-1676482200@colleges.claremont.edu
SUMMARY:Quantum chromatic numbers of products of quantum graphs (Prof. Rolando De Santiago\, Purdue University)
DESCRIPTION:Title: Quantum chromatic numbers of products of quantum graphs \nSpeaker: Rolando De Santiago\, Department of Mathematics\, Purdue University \nAbstract: Quantum graphs are an operator space generalization of classical graphs that have emerged in different branches of mathematics including operator theory\, non-commutative topology and quantum information theory. We provide a brief introduction to quantum graphs and the quantum chromatic number of graphs. We define the lexicographic product of quantum graphs and investigate the quantum chromatic number of the resulting graph products. Additionally\, we discuss our work on developing the b-fold chromatic number for quantum graphs analogous to the classical case. \nThis is joint work with Meenakshi McNamara \n\n\n\n\n\nRolando is an assistant professor of mathematics in the Department of Mathematics at Purdue University. He considers himself a proud product of the LAUSD\, the community college\, and the Cal State systems which set him up to receive his Ph.D. in Mathematics from the University of Iowa in 2017. Afterward\, he went on to do a postdoc at UCLA where he was awarded the UC Presidential Postdoctoral Fellowship in 2018. His research in the structural aspects of group von Neumann algebras sits at the intersection of analysis\, geometric group theory\, representation theory\, and\, on very rare occasions\, quantum information theory.
URL:https://colleges.claremont.edu/ccms/event/prof-rolando-de-santiago/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230216T163000
DTEND;TZID=America/Los_Angeles:20230216T173000
DTSTAMP:20260411T133838
CREATED:20230208T194019Z
LAST-MODIFIED:20230208T194019Z
UID:3074-1676565000-1676568600@colleges.claremont.edu
SUMMARY:structural aspects of von Neumann algebras arising as graph products (Rolando de Santiago\, Purdue University)
DESCRIPTION:Graph products of groups were introduced in E. Green’s thesis in the 90’s as generalizations of Right-Angled Artin Groups. These have become objects of intense study due to their key roles in topology and group theory.  Recently\, Caspers and Fima introduced graph products of von Neumann algebras. Since their inception\, several structural aspects such as absence of Cartan subalgebras\, and classification of tensor products have been established for graph products arising from groups.  Here we describe new progress in this direction\, emphasizing characterization of diffuseness\, factoriality\, and if time\, strong 1-boundedness for graph products of a large class of von Neumann algebras. \nThis is joint work with Ian Charlesworth\, Srivatsav Kunnawalkam-Ellayavali\,  Ben Hayes\, David Jekel\, and Brent Nelson.
URL:https://colleges.claremont.edu/ccms/event/structural-aspects-of-von-neumann-algebras-arising-as-graph-products-rolando-de-santiago-purdue-university/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
END:VCALENDAR