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DTSTART;TZID=America/Los_Angeles:20260213T110000
DTEND;TZID=America/Los_Angeles:20260213T121500
DTSTAMP:20260427T065645
CREATED:20260210T023402Z
LAST-MODIFIED:20260210T023402Z
UID:3996-1770980400-1770984900@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Sofia Martinez Alberga (Bryn Mawr College)
DESCRIPTION:CCMS Colloquium invites you to a talk by Sofia Martinez Alberga (Bryn Mawr College)\n \nTitle: Stay in the Loop and Fun Group\n \nAbstract: In this talk\, we will discuss the goal of algebraic topology. After we will discuss a topological space that can be associated with any topological space\, say $X$\, and base point\, $b \in X$: the based loop space denoted $\Omega(X\, b)$. The loop space has some interesting algebraic structure that allows us to define an invariant for spaces. We will see how this invariant can be used more generally and when the action of a group is present on the space.\n \nBio: Dr. Sofía Martínez Alberga is a Research Associate at Bryn Mawr College working in algebraic topology. Originally born and raised in southern California\, she earned her Bachelor’s of Science in mathematics from the University of California\, Riverside in 2019 and that same year she won the NSF Graduate Research Fellowship and the Math Alliance Fellowship. Dr. Martínez Alberga earned her PhD from Purdue University and during graduate school\, she held roles like MSRI-Undergraduate Program graduate research assistant\, Enhancing Diversity Graduate Education summer program graduate mentor\, and Women In Science Programs (WISP) Liaison. Furthermore Dr. Martínez Alberga has been invited to attend and speak at conferences and seminars internationally and has organized and secured grants for sessions at major conferences such as JMM.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-sofia-martinez-alberga-bryn-mawr-college/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250505T161500
DTEND;TZID=America/Los_Angeles:20250505T171500
DTSTAMP:20260427T065645
CREATED:20250130T003036Z
LAST-MODIFIED:20250327T174327Z
UID:3669-1746461700-1746465300@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Evan Rosenman (Claremont McKenna College)
DESCRIPTION:Title: TBA \nAbstract: TBA
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-evan-rosenman-claremont-mckenna-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250428T161500
DTEND;TZID=America/Los_Angeles:20250428T171500
DTSTAMP:20260427T065645
CREATED:20250426T011634Z
LAST-MODIFIED:20250426T011735Z
UID:3772-1745856900-1745860500@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Alejandra Castillo (Pomona College)
DESCRIPTION:Title:    Randomized Kaczmarz Methods for Corrupted Tensor Linear Systems \nAbstract: Recovering tensor-valued signals from corrupted measurements is a central problem in various applications such as hyperspectral image reconstruction and medical imaging. This talk considers tensor linear systems of the form AX = B\, that contain observations potentially affected by sparse\, large-magnitude corruptions.  A quantile-based randomized Kaczmarz algorithm\, called quantile tensor randomized Kaczmarz (QTRK)\, is discussed to address this challenge. By integrating quantile statistics into the iterative update process\, QTRK improves robustness against adversarial errors. A variant selectively omits unreliable measurements to enhance stability further.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-alejandra-castillo-pomona-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250421T161500
DTEND;TZID=America/Los_Angeles:20250421T171500
DTSTAMP:20260427T065645
CREATED:20250130T003350Z
LAST-MODIFIED:20250320T010652Z
UID:3671-1745252100-1745255700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Fabio Milner (Arizona State University)
DESCRIPTION:Title: Modeling viral STI epidemics \nAbstract: We will describe an SIR model of viral sexually transmitted infections in a population structured by sex and sexual preference and its validation in the simple SI case from HIV data incidence. We will also use the model to establish a plausible structure of the U.S. population by sexual preferences for men and women and perform a case scenario analysis of the impact that changes in sexual preferences may have in the incidence of STIs.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-fabio-milner-arizona-state-university/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250414T161500
DTEND;TZID=America/Los_Angeles:20250414T171500
DTSTAMP:20260427T065645
CREATED:20250130T003204Z
LAST-MODIFIED:20250401T164506Z
UID:3670-1744647300-1744650900@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Victoria Chebotaeva (USC)
DESCRIPTION:Title: Erlang-Distributed SEIR Epidemical Models \nAbstract: \nWe examine the effects of different dynamics in epidemiological models\, focusing on two key approaches. The first model incorporates reaction-diffusion dynamics\, where susceptible individuals avoid areas with high concentrations of infected individuals. The second model divides exposed and infectious individuals into symptomatic and asymptomatic subclasses.\nOur findings emphasize the importance of adaptive control measures\, such as targeted testing\, contact tracing\, and isolation\, in effectively containing disease spread while minimizing societal and economic impacts. The models highlight the distinct roles of symptomatic and asymptomatic individuals\, demonstrating how tailored public health strategies can improve resource management and mitigate the socio-economic effects of outbreaks.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-course-preview-2/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250324T161500
DTEND;TZID=America/Los_Angeles:20250324T171500
DTSTAMP:20260427T065645
CREATED:20250130T190206Z
LAST-MODIFIED:20250311T055012Z
UID:3672-1742832900-1742836500@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Ryan O'Dowd (Claremont Graduate University)
DESCRIPTION:Title: Learning on manifolds without manifold learning \nAbstract: Function approximation based on data drawn randomly from an unknown distribution is an important problem in machine learning. The manifold hypothesis assumes that the data is sampled from an unknown submanifold of a high dimensional Euclidean space. A great deal of research deals with obtaining information about this manifold\, such as the eigendecomposition of the Laplace-Beltrami operator or coordinate charts\, and using this information for function approximation. This two-step approach implies some extra errors in the approximation stemming from estimating the basic quantities of the data manifold in addition to the errors inherent in function approximation. In this paper\, we project the unknown manifold as a submanifold of an ambient hypersphere and study the question of constructing a one-shot approximation using a specially designed sequence of localized spherical polynomial kernels on the hypersphere. Our approach does not require preprocessing of the data to obtain information about the manifold other than its dimension. We give optimal rates of approximation for relatively “rough” functions.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-ryan-odowd-claremont-graduate-university/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250310T161500
DTEND;TZID=America/Los_Angeles:20250310T171500
DTSTAMP:20260427T065645
CREATED:20250130T002924Z
LAST-MODIFIED:20250303T200907Z
UID:3668-1741623300-1741626900@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Sarah Robinson  (Claremont McKenna College)
DESCRIPTION:Title: Do Taxes Affect Pre-Tax Income Inequality? Evidence from 100 Years of U.S. States \nAbstract: We study how U.S. state taxes have affected pre-tax income inequality during the last century. Our primary analysis focuses on the top marginal personal income and corporate income tax\, and their effect on top incomes and top income shares within each state. The long panel nature of our data\, from 1917 to 2018\, allows us to study the effect of tax adoptions\, tax cancellations\, and tax changes\, and furthermore to assess both immediate and long-term relationships. With event study and synthetic control designs\, we generally find no statistically significant relationship between tax measures and inequality. Some of our point estimates\, as well as a simple two-way fixed effects analysis\, suggest that higher income taxes may reduce top incomes and income shares.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-sarah-robinson-claremont-mckenna-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250303T161500
DTEND;TZID=America/Los_Angeles:20250303T171500
DTSTAMP:20260427T065645
CREATED:20250130T002829Z
LAST-MODIFIED:20250225T061553Z
UID:3666-1741018500-1741022100@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Efstratios Tsoukanis (Claremont Graduate University)
DESCRIPTION:Title: Bi-Lipschitz Invariants \nAbstract: Consider a finite-dimensional real vector space and a finite group acting unitarily on it. We investigate the general problem of constructing Euclidean stable embeddings of the quotient space of orbits. Our embedding relies on subsets of sorted coorbits with respect to chosen window vectors. Our main injectivity results examine the conditions under which such embeddings are injective. We establish these results using semialgebraic techniques. Furthermore\, our main stability result states and demonstrates that any embedding based on sorted coorbits is automatically bi-Lipschitz when injective. We establish this result using geometric function techniques. Our work has applications in data science\, where certain systems exhibit intrinsic invariance to group actions. For instance\, in graph deep learning\, graph-level regression and classification models must be invariant to node labeling.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-efstratios-tsoukanis-claremont-graduate-university/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250217T161500
DTEND;TZID=America/Los_Angeles:20250217T171500
DTSTAMP:20260427T065645
CREATED:20250130T002710Z
LAST-MODIFIED:20250210T172352Z
UID:3665-1739808900-1739812500@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Denis Gaidashev (Uppsala University)
DESCRIPTION:Title: Renormalization and wild attractors for Fibonacci maps \nAbstract: A Fibonacci map is a piecewise defined map of a subset of an interval I onto I with a unique critical point of order d whose orbit undergoes nearest returns at Fibonacci times. It has been shown by Bruin\, Keller\, Nowicki and van Strien that such maps exhibit “wild” attractors: Cantor sets of zero Lebesgue measure whose basin of attraction is meager but has positive Lebesgue measure. We will discuss real renormalization\, and a trichotomy for Fibonacci maps\, similar to the Avila-Lyubich trichotomy for Feigenbaum Julia sets\, which\, in particular\, allows us to show that Fibonacci maps admit wild attractors for d=5.1\, and do not for d=3.9 (and\, conjecturally\, for 2<d<=3.9)
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-denis-gaidashev-uppsala-university/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241118T161500
DTEND;TZID=America/Los_Angeles:20241118T171500
DTSTAMP:20260427T065645
CREATED:20240924T161201Z
LAST-MODIFIED:20241117T175021Z
UID:3541-1731946500-1731950100@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Shriya Nagpal (Pitzer College)
DESCRIPTION:Title: Designing Robust Networks of Coupled Phase Oscillators with Applications to the High-Voltage Electric Grid \nAbstract: A network is any collection of objects\, called nodes\, in which some pairs of these objects are connected by links\, called edges. In a network of coupled phase-oscillators\, each node represents a phase-angle (or an angle with periodicity) whose long-term dynamics is determined by a differential equation governed by the node’s connectivity to the rest of the network and the phase-angle’s inherent natural frequency. Networks of coupled phase-oscillators have been of great interest to the scientific community in the last decade because of their ability to model a broad array of applications including circadian rhythms\, flashing fireflies\, and high voltage electric grids. In many of these applications\, synchronization is a coordinated behavior that emerges over time and is of interest to optimize for. To this end\, we introduce a mathematical framework for designing robust networks of coupled phase-oscillators. Robustness\, in this context\, denotes the ability of the phase-oscillators to maintain synchronized behavior despite minor system perturbations.  We then apply this mathematical framework to address challenges impacting the functionality of high voltage electric grids\, particularly in the context of integrating renewable energy.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-shriya-nagpal-pitzer-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241104T161500
DTEND;TZID=America/Los_Angeles:20241104T171500
DTSTAMP:20260427T065645
CREATED:20240924T161055Z
LAST-MODIFIED:20241027T160925Z
UID:3540-1730736900-1730740500@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Course Preview
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-course-preview/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241021T161500
DTEND;TZID=America/Los_Angeles:20241021T171500
DTSTAMP:20260427T065645
CREATED:20240924T161006Z
LAST-MODIFIED:20241007T181242Z
UID:3539-1729527300-1729530900@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Ruijun Zhao (Claremont McKenna College)
DESCRIPTION:Title: Mathematical models studying the effectiveness of control strategies for malaria \nAbstract: According to the 2023 World Malaria Report: Nearly half the world’s population lives in areas at risk of malaria transmission in 85 countries and territories. In 2022\, malaria caused an estimated 249 million clinical episodes\, and 608\,000 deaths. In this talk\, we will discuss a few mathematical models that study the effectiveness of control strategies such as vaccines and insecticide-treated bednets. We will also discuss a model to understand the interplay between malaria dynamics\, economic growth\, and transient events. The challenges when conducting mathematical analysis and numerical simulation will also be discussed.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-ruijun-zhao-claremont-mckenna-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241007T161500
DTEND;TZID=America/Los_Angeles:20241007T171500
DTSTAMP:20260427T065645
CREATED:20240924T160849Z
LAST-MODIFIED:20240924T160849Z
UID:3538-1728317700-1728321300@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Jamie Haddock (Harvey Mudd College)
DESCRIPTION:Title: TBD \nAbstract: TBD
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-jamie-haddock-harvey-mudd-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240930T161500
DTEND;TZID=America/Los_Angeles:20240930T171500
DTSTAMP:20260427T065645
CREATED:20240924T160708Z
LAST-MODIFIED:20240924T162100Z
UID:3537-1727712900-1727716500@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Sarah Marzen (Department of Natural Science)
DESCRIPTION:Title: How well do neurons\, humans\, and artificial neural networks predict? \nAbstract: Sensory prediction is thought to be vital to organisms\, but few studies have tested how well organisms and parts of organisms efficiently predict their sensory input in an information-theoretic sense.  In this talk\, we report results on how well cultured neurons (“brain in a dish”) and humans efficiently predict artificial stimuli. We find that both are efficient predictors of their artificial input.  That leads to the question of why\, and to answer this\, we study artificial neural networks\, finding that LSTMs show similarly efficient prediction but do not model how humans learn well.  Instead\, it appears that an existing model of cultured neurons and a model of humans as order-R Markov modelers explain their performance on these prediction tasks.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-sarah-marzen-department-of-natural-science/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221130T161500
DTEND;TZID=America/Los_Angeles:20221130T173000
DTSTAMP:20260427T065645
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:20221116T161500
DTEND;TZID=America/Los_Angeles:20221116T173000
DTSTAMP:20260427T065645
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:20221109T161500
DTEND;TZID=America/Los_Angeles:20221109T173000
DTSTAMP:20260427T065645
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:20221102T161500
DTEND;TZID=America/Los_Angeles:20221102T173000
DTSTAMP:20260427T065645
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:20221026T161500
DTEND;TZID=America/Los_Angeles:20221026T173000
DTSTAMP:20260427T065645
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:20221012T161500
DTEND;TZID=America/Los_Angeles:20221012T173000
DTSTAMP:20260427T065645
CREATED:20220830T231051Z
LAST-MODIFIED:20220921T214729Z
UID:2805-1665591300-1665595800@colleges.claremont.edu
SUMMARY:Human Computers in Astronomy: Women Astronomers at Mount Wilson Observatory during the Early Twentieth Century (Prof. Eun-Joo Ahn)
DESCRIPTION:Title: Human Computers in Astronomy: Women Astronomers at Mount Wilson Observatory during the Early Twentieth Century \nSpeaker: Eun-Joo Ahn\, Department of History\, UC Santa Barbara \n\nAbstract: 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 astronomical observatories during the first half of the twentieth century\, whose astronomers contributed to understanding the characteristics of the sun and the structure of our universe. When considering astronomers and science at MWO in the early years\, we will likely think of Hale and his male colleagues who worked to build the large telescopes and the astronomical research they carried out. We tend to overlook the women astronomers at MWO and the contribution they made while we pay attention to the more prominent men astronomers. It is easy to lose sight of these women scientists as they left few written records\, their workspaces have been remodeled\, and little if any of the instruments they used to carry out the measurements remain today. As human computers\, their tasks were mostly restricted to measuring positions or spectral lines of photographic plates\, and they did not have the same opportunity to expand their work to new challenges and roles. By reconstructing their contribution to the scientific work at MWO\, we can better understand how astronomers at MWO carried out the scientific discoveries and achievements at MWO that made this place prominent. In this talk\, I narrate what it was like to be a woman scientist at MWO during its first decade. \n\n\n\n\n\nEun-Joo Ahn is a historian of science researching how astronomers in Southern California interacted with their natural and socio-economic environment during the early twentieth century. She is a PhD Candidate in the Department of History at the University of California Santa Barbara. Previously\, she received her PhD in Astronomy and Astrophysics from the University of Chicago and worked on particle astrophysics as a postdoctoral researcher at the University of Delaware and Fermi National Accelerator Laboratory.
URL:https://colleges.claremont.edu/ccms/event/eun-joo-ahn/
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:20221005T161500
DTEND;TZID=America/Los_Angeles:20221005T173000
DTSTAMP:20260427T065645
CREATED:20220824T231222Z
LAST-MODIFIED:20220824T231806Z
UID:2789-1664986500-1664991000@colleges.claremont.edu
SUMMARY:How do mathematicians believe? (Prof. Brian P Katz)
DESCRIPTION:Title: How do mathematicians believe? \nSpeaker: Brian P Katz (BK)\, Department of Mathematics and Statistics\, CSU\, Long Beach \nAbstract: 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 origins and processes of mathematics special and how can our messy\, biological brains connect to the absolute? If the claim is false\, then what becomes of truth in mathematics? In this session\, we will discuss beliefs about truth and how they play out in the mathematics classroom\, trying to understand a little about identity\, authority\, and tertiary education. \n\nBrian P Katz (BK) is faculty in Mathematics Education at CSULB. BK is passionate about interactions between inquiry\, epistemology\, identity\, authority\, and justice as both a scholar and teacher\, especially in the context of preparing teachers to lead student-centered and rehumanizing classrooms of their own. BK is Associate and Communications Editor with PRIMUS\, a former Chair of IBL SIGMAA\, a current member of the executive committee of SIGMAA RUME\, an MAA textbook author\, co-Editor of the inclusion/exclusion blog\, co-Editor-in-Chief of the MAA Notes textbook series\, and an Associate Director of Project NExT. BK supports two of the best cats in the world and loves to sing.
URL:https://colleges.claremont.edu/ccms/event/how-do-mathematicians-believe-prof-brian-p-katz/
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:20220928T161500
DTEND;TZID=America/Los_Angeles:20220928T173000
DTSTAMP:20260427T065645
CREATED:20220830T231008Z
LAST-MODIFIED:20220914T215728Z
UID:2804-1664381700-1664386200@colleges.claremont.edu
SUMMARY:Between Yes and No: making decisions under uncertainty (Prof. Ami Radunskaya)
DESCRIPTION:Title: Between Yes and No: making decisions under uncertainty. \nSpeaker: Ami Radunskaya\, Department of Mathematics and Statistics\, Pomona College \nAbstract: Often we attempt to answer a question with a “yes” or a “no” by developing predictive models (“Will the small remaining population of axolotls survive outside of their native wetlands?”) or by implementing binary classifiers (“Is this a cat or a dog?”). However\, the answers that are provided by our models are often given in terms of probabilities.  Even more confusing\, different models – equally good according to accuracy metrics – can produce conflicting answers.   \nIn this talk\, I will explore these issues and discuss their implications.  How do we interpret an answer that is neither “yes” nor “no”?   For example\, a PCR test for COVID yields a probability.  How does the choice of threshold affect the individual?  How does it affect policy decisions or the course of the disease? How can we disentangle the predictions given by competing models\, i.e. how can we deal with predictive multiplicity?   For example\, if two models disagree on whether or not someone is a loan risk\, which one should be trusted?  Which groups are most affected?  What new metrics can be used to compare models? \n  \n\nA California native\, Professor Radunskaya received her Ph.D. in Mathematics from Stanford University.  She has been a faculty member in the Math Department at Pomona College since 1994.   In her research\, she specializes in ergodic theory\, dynamical systems\, and applications to various “real-world” problems.  Some current research projects involve mathematical models of cancer immunotherapy\, developing strategies for targeted drug delivery to the brain\, and studying stochastic perturbations of dynamical systems.  \nProfessor Radunskaya believes strongly in the power of collaboration and that everyone can learn to enjoy mathematics; as President of the Association of Women in Mathematics\, she encouraged collaborative research\, international outreach\, and cooperation between all the mathematical societies. She is the President of the EDGE (Enhancing Diversity in Graduate Education) Foundation\, whose summer program won a “Mathematics Program that Makes a Difference” award from the American Mathematics Society in 2007\, and a Presidential Award for Excellence in Science\, Mathematics and Engineering Mentoring (PAESMEM) in 2017. \nProfessor Radunskaya was recently elected as a Fellow of the Association for Women in Mathematics and the American Mathematical Society\, and she is the recipient of several awards\, including a WIG teaching award in  2012 and the 2017 AAAS Mentor-of-the-year award. She was featured in the documentary “The Empowerment Project: ordinary women doing extraordinary things”\, as well as in the recent book by Talithia Williams:  “Power in  Numbers: the Rebel Women of Mathematics”.
URL:https://colleges.claremont.edu/ccms/event/ami-radunskaya/
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:20220921T161500
DTEND;TZID=America/Los_Angeles:20220921T173000
DTSTAMP:20260427T065645
CREATED:20220830T230918Z
LAST-MODIFIED:20220914T215709Z
UID:2803-1663776900-1663781400@colleges.claremont.edu
SUMMARY:An introduction to algebraic statistics (Prof. Luis David Garcia Puente)
DESCRIPTION:Title: An introduction to algebraic statistics\n\nSpeaker: Luis David Garcia Puente\, Department of Mathematics and Computer Science\, Colorado College\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nAbstract: Algebraic statistics is an interdisciplinary field that uses tools from computational algebra\, algebraic geometry\, and combinatorics to address problems in statistics and its applications. A guiding principle in this field is that many statistical models of interest are semialgebraic sets—a set of points defined by polynomial equalities and inequalities. Algebraic statistics is not only concerned with understanding the geometry and algebra of the underlying statistical model\, but also with applying this knowledge to improve the analysis of statistical procedures\, and to devise new methods for analyzing data.\nAlgebraic statistics is a broad field actively expanding from discrete statistical models\, contingency table analysis\, and experimental design to Gaussian models\, singular learning theory\, and applications to phylogenetics\, machine learning\, and biochemical reaction networks. In this talk\, I will introduce this field by discussing the foundational Diaconis-Sturmfels approach to contingency table analysis. This talk will be accessible to undergraduate students with some knowledge of linear algebra and basic statistics.\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n  \nLuis David García Puente is a Professor of Mathematics and Computer Science at Colorado College.  He grew up in Mexico City and received his B.S. from Universidad Nacional Autónoma de México and his Ph.D. from Virginia Tech\, both in Mathematics. After postdoctoral appointments at the Mathematical Sciences Research Institute and Texas A&M University\, he joined Sam Houston State University. Luis is a Fellow of the American Mathematical Society for contributions to applied algebraic geometry\, including algebraic statistics and geometric modeling\, and for broadening participation in the mathematical sciences. He is a member of the SIAM Activity Group on Algebraic Geometry\, the Latinxs and Hispanics in the Mathematical Sciences Community\, and the Society for Advancement of Chicanos/Hispanics and Native Americans in Science. In Summer 2023\, he will be a PRiME Undergraduate Research Director.
URL:https://colleges.claremont.edu/ccms/event/prof-luis-david-garcia-puente/
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:20220914T161500
DTEND;TZID=America/Los_Angeles:20220914T173000
DTSTAMP:20260427T065645
CREATED:20220830T232626Z
LAST-MODIFIED:20220912T190511Z
UID:2812-1663172100-1663176600@colleges.claremont.edu
SUMMARY:Continuity Versus Uniform Continuity (Prof. Gerald Beer)
DESCRIPTION:Title: Continuity Versus Uniform Continuity \nSpeaker: Gerald Beer\, Department of Mathematics\, California State University \nAbstract: In this talk we discuss the class of metric spaces – called the UC-spaces – whose members have this characteristic property:  each continuous function f on X  must be uniformly continuous. \n\nGerald Beer\, PhD UCLA 1971 won the faculty prize for teaching assistants at UCLA.  He was a full professor at California State University Los Angeles\, where he won the Presidents Distinguished Professor Award. He has around 140 papers in refereed journals plus two books: (1) Applied Calculus for Business and Economics; (2) Topologies on Closed and Closed Convex Sets.  He is on the editorial boards of The Journal of Convex Analysis and Set-Valued and Variational Analysis. In 1983-1984\, he was a Fulbright Professor associated with the Mathematical Consortium of Manila\, and in 1986\, he was a National Academy of Sciences exchange scholar at the Bulgarian Academy of Sciences.  He had visiting positions at the University of California\, Davis\, University of Minnesota\, University of Milan\, University of Salerno\, University of Naples II\, University of Limoges\, University of Montpellier II\, University of Perpignan\, University of Complutense Madrid\, Politecnica Valencia\, UMH Elche\, and Auckland Institute of Technology. A conference honoring Professor Beer was held in Varenna\, Lake Como\, Italy on his 65th birthday.
URL:https://colleges.claremont.edu/ccms/event/continuity-versus-uniform-continuity-prof-gerald-beer/
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:20220907T161500
DTEND;TZID=America/Los_Angeles:20220907T173000
DTSTAMP:20260427T065645
CREATED:20220828T210059Z
LAST-MODIFIED:20220906T155701Z
UID:2796-1662567300-1662571800@colleges.claremont.edu
SUMMARY:Poster Session Fall 2022
DESCRIPTION:CLAREMONT CENTER for the MATHEMATICAL SCIENCES\nFall 2022 Poster Session \n  \n\n\n\n\n\n\nTitle\nSpeaker(s)\n\n\nA New Basis for k-Local Class Functions\nHannah Friedman\n\n\nA Quantile Deffuant-Weisbuch Model of Opinion Dynamics\nJulianna Schalkwyk\, Hector Tierno\n\n\nAnalyzing Chromatin Immunoprecipitation (ChIP-Seq) Between-Sample Normalization Techniques through the Lens of their Biological Assumptions\nSara Colando\n\n\nCharacterizing Missing Traffic Stop Data\nSaatvik Kher\, Kyle Torres\n\n\nComputationally Modeling Transcranial Ultrasound Propagation for the Optimization of Drug Delivery to the Brain using Sonosensitive Liposomes\nRuth Gale\n\n\nDistributed Non-negative Matrix Factorization (DNMFX) with JAX\nAlicia Lu\n\n\nExploring the HCV\nOscar Scholin\, Graham Hirsch\n\n\nGeometric characteristics of symmetric numerical semigroups in the Kunz cone\nLily Natasha Wartman\n\n\nHorizontal dipole excitations of hydrodynamic electrons in graphene\nKausik Das\n\n\nKaczmarz for Time-Varying Noise and Corruption\nNestor Coria\, Jaime Pacheco\n\n\nMonodromy Groups of Belyi Lattes Maps\nZoë Batterman\, Eben Semere\n\n\nMonotonicity Failure in Ranked Choice Voting\nRylie Weaver\n\n\nOptimization of drug delivery in the brain\nStanley Su\n\n\nOptimization of the delivery of Ropinirole across the blood-brain-barrier\nStanley Su\n\n\nPartially Ordered Sets\nMehek Mehra\n\n\nQuantum Electrodynamics and Electron Scattering\nIshan Varma\n\n\nRates of Approximation by ReLU Shallow Neural Networks\nTong Mao\n\n\nSimulations and extensions of bounded confidence opinion dynamics model with zealots\nIan de Marcellus\n\n\nStochastic Models of Zoonotic Avian Influenza with Multiple Hosts\, Environmental Transmission\, and Migration in the Natural Reservoir\nKaia Smith\n\n\nSum and Product Game\nMariam Abu-Adas\n\n\nTensor Methods and Models for Medical Imaging\nNoah Limpert\, Toby Anderson
URL:https://colleges.claremont.edu/ccms/event/poster-session-fall-2022/
LOCATION:Margaret Fowler Garden\, Scripps College\, Claremont\, CA\, 91711
CATEGORIES:Colloquium,Special Event
GEO:34.103917;-117.709694
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220427T161500
DTEND;TZID=America/Los_Angeles:20220427T173000
DTSTAMP:20260427T065645
CREATED:20220401T032753Z
LAST-MODIFIED:20220406T231953Z
UID:2686-1651076100-1651080600@colleges.claremont.edu
SUMMARY:Contact topology and geometry in high dimensions (Prof. Bahar Acu)
DESCRIPTION:Title: Contact topology and geometry in high dimensions \nSpeaker: Bahar Acu\, Department of Mathematics\, Pitzer College \nAbstract: A very useful strategy in studying topological manifolds is to factor them into “smaller” pieces. An open book decomposition of an n-manifold (the open book) is a special map (fibration) that helps us study our manifold in terms of its (n-1)-dimensional submanifolds (i.e. fibers=the pages) and (n-2)-dimensional boundary of these submanifolds (the binding). Open books provide a natural framework for studying topological properties of certain geometric structures on smooth manifolds such as “contact structures”. Thanks to open books\, contact manifolds\, odd dimensional manifolds carrying these geometric structures\, can be studied from an entirely topological viewpoint. For example\, every contact 3-manifold can be presented as an open book whose pages are surfaces and binding is a knot/link. In this talk\, we will talk about higher-dimensional contact manifolds and provide a setting where we study these manifolds in terms of 3D open books. We present various results along with examples concerning geometric and topological aspects of these manifolds. \n\nDr. Bahar Acu (pronounced: Ah-Joo) is an Assistant Professor of Mathematics at Pitzer College since Spring 2022. Prior to joining Claremont Colleges\, Dr. Acu held positions at UCLA\, Northwestern\, ETH Zürich\, and IAS Princeton following a Ph.D. degree from the University of Southern California in 2017. Dr. Acu’s primary research interests are in the field of geometric topology\, more precisely contact and symplectic topology in high dimensions and their relations with low-dimensional topology. While doing so\, Dr. Acu actively thinks about ways in which the math community at large can improve and promote the presence and visibility of more first-gen\, womxn\, queer\, and many other historically underrepresented individuals in math in various mathematical events and projects. Dr. Acu continues to hope that more of the math colleagues join these efforts in their day-to-day navigation in math in any beneficial way they can.
URL:https://colleges.claremont.edu/ccms/event/contact-topology-and-geometry-in-high-dimensions-prof-bahar-acu/
LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid
CATEGORIES:Colloquium
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220420T161500
DTEND;TZID=America/Los_Angeles:20220420T173000
DTSTAMP:20260427T065645
CREATED:20220403T231342Z
LAST-MODIFIED:20220403T231342Z
UID:2689-1650471300-1650475800@colleges.claremont.edu
SUMMARY:Linear independence\, counting\, and Hilbert's syzygy theorem (Prof. Youngsu Kim)
DESCRIPTION:Title: Linear independence\, counting\, and Hilbert’s syzygy theorem \nSpeaker: Youngsu Kim\, Department of Mathematics\, Cal State San Bernardino \nAbstract: Linear independence is an essential concept in mathematics and one of the most fundamental notions in linear algebra. \n\n\nLinear algebra studies the solutions of linear equations. Algebraic geometry studies the solutions of polynomial equations (of arbitrary degree). In this talk\, we explore how linear independence can help study algebraic geometry and Hilbert’s syzygy theorem. \n\n\n\nYoungsu Kim earned his Ph.D. from Purdue University. He had visiting positions at UC Riverside and the University of Arkansas. Currently\, he works at Cal State San Bernardino\, and his primary research interest is in commutative algebra.
URL:https://colleges.claremont.edu/ccms/event/linear-independence-counting-and-hilberts-syzygy-theorem-prof-youngsu-kim/
LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid
CATEGORIES:Colloquium
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220413T161500
DTEND;TZID=America/Los_Angeles:20220413T173000
DTSTAMP:20260427T065645
CREATED:20220228T192814Z
LAST-MODIFIED:20220301T203530Z
UID:2643-1649866500-1649871000@colleges.claremont.edu
SUMMARY:Geometry of continued fractions (Prof. Oleg Karpenkov)
DESCRIPTION:Title: Geometry of continued fractions\n\nSpeaker:  Oleg Karpenkov\, Department of Mathematical Sciences\, University of Liverpool\n\nAbstract: In this talk we introduce a geometrical model of continued fractions and discuss its appearance in rather different research areas:\n— values of quadratic forms (Perron Identity for Markov spectrum)\n— the 2nd Kepler law on planetary motion\n— Global relation on singularities of toric varieties\n\n\n\nOleg Karpenkov is a mathematician at the University of Liverpool (UK)\, working in the general area of discrete geometry. Specifically\, his interests include geometry of numbers\, discrete and semi-discrete differential geometry and self-stressed configurations of graphs. He completed his Ph.D. at Moscow State University under the supervision of Vladimir Arnold in 2005. He held several postdoctoral positions in Paris (Fellowship of the Mairie de Paris)\, Leiden\, and Graz (Lise Meitner Fellowship) before arriving in Liverpool in 2012. In 2013 he published a book “Geometry of Continued Fractions” (its extended second edition will be available soon). His Erdos number is 3.
URL:https://colleges.claremont.edu/ccms/event/geometry-of-continued-fractions-prof-oleg-karpenkov/
LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220330T161500
DTEND;TZID=America/Los_Angeles:20220330T173000
DTSTAMP:20260427T065645
CREATED:20220311T141931Z
LAST-MODIFIED:20220328T160742Z
UID:2658-1648656900-1648661400@colleges.claremont.edu
SUMMARY:Voronoi Tessellations:  Optimal Quantization and Modeling Collective Behavior (Prof. Rustum Choksi)
DESCRIPTION:Title: Voronoi Tessellations: Optimal Quantization and Modeling Collective Behavior \nSpeaker: Prof. Rustum Choksi\, Department of Mathematics and Statistics\, McGill University \nAbstract:  Given a set of N distinct points (generators) in a domain (a bounded subset of Euclidean space or a compact Riemannian manifold)\, a Voronoi tessellation is a partition of the domain into N regions (Voronoi cells) with the following property: all points in the interior of the ith Voronoi cell are closer to the ith generating point than to any other generator.  Voronoi tessellations give rise to a wealth of analytic\, geometric\, and computational questions. They are also very useful in mathematical and computational modeling. \nThis talk will consist of three parts: \n\nWe begin by introducing the basic definitions and geometry of Voronoi tessellations\,  centroidal Voronoi tessellations (CVTs)\, and the notion of optimal quantization.\nWe will then address simple\, yet rich\, questions on optimal quantization on the 2D and 3D torus\, and on  the 2-sphere. We will address the geometric nature of the global minimizer (the optimal CVT)\, presenting a few conjectures and a short discussion on rigorous asymptotic results and their proofs.\nWe will then shift gears to address the use Voronoi tessellations in modeling collective behaviors.\n\nCollective behavior in biological systems\, in particular the contrast and connection between individual and collective behavior\, has fascinated researchers for decades. A well-studied paradigm entails the tendency of groups of individual agents to form flocks\, swarms\, herds\, schools\, etc. We will first review some well-known and widely used models for collective behavior.  We will then present a new dynamical model for generic crowds in which individual agents are aware of their local Voronoi environment — i.e.\, neighboring agents and domain boundary features –and may seek static target locations. Our model incorporates features common to many other active matter models like collision avoidance\, alignment among agents\, and homing toward targets. However\, it is novel in key respects: the model combines topological and metrical features in a natural manner based upon the local environment of the agent’s Voronoi diagram. With only two parameters\, it captures a wide range of collective behaviors. The results of many simulations will be shown. \n\nRustum Choksi received the PhD degree in mathematics from Brown University\, in 1994. He held post-doctoral positions with the Center for Nonlinear Analysis\, Carnegie Mellon University and the Courant Institute\, New York University. From 1997 to 2010\, he was a faculty member with the Department of Mathematics\, Simon Fraser University. In 2010\, he joined McGill University where he is currently a full professor with the Department of Mathematics and Statistics. His main research interests include interaction of the calculus of variations and partial differential equations with pattern formation.
URL:https://colleges.claremont.edu/ccms/event/voronoi-tessellations-optimal-quantization-and-modeling-collective-behavior-prof-rustum-choksi/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220323T161500
DTEND;TZID=America/Los_Angeles:20220323T173000
DTSTAMP:20260427T065645
CREATED:20220320T201004Z
LAST-MODIFIED:20220320T201104Z
UID:2667-1648052100-1648056600@colleges.claremont.edu
SUMMARY:The 6 Cs - Covid and the 5 Claremont Colleges (Prof. Maryann E. Hohn)
DESCRIPTION:Title: The 6 Cs – Covid and the 5 Claremont Colleges \nSpeaker: Maryann E. Hohn\, Department of Mathematics and Statistics\, Pomona College \nAbstract: The Claremont Colleges’ (5Cs) environment consists of students\, faculty\, and staff that congregate together in indoor spaces\, creating a higher risk for possible COVID-19 infection.  Additionally\, a majority of the students live on campus\, presenting a relatively closed campus environment that limits students’ interactions with their greater community. However\, the close knit quarters in which students live may contribute to a rise in infections that may ultimately reach other more vulnerable populations on the campuses such as faculty and staff. \n  \nIn this talk\, we present several models of COVID-19 spread at the 5Cs.  We start with an early model consisting of several interconnected modified SEIR differential equations to investigate the dynamics between different populations at the 5Cs and the influence of mitigation techniques such as students adhering to health protocols and contact tracing. With the addition of vaccines\, we show how the model changed\, how student researchers are contributing to our models\, and how a few students created their own.\n \n\nDr. Maryann Hohn is a Visiting Assistant Professor of Mathematics and Statistics at Pomona College.  Her research interests lie in mathematical modeling and data analysis to solve societal problems.  She utilizes a variety of mathematical tools such as stochastic processes\, PDEs\, numerical analysis\, and graph theory.  She also actively supports groups like AWM that support students in underrepresented groups\, mentors both undergraduate and graduate students\, and advises undergraduate researchers.
URL:https://colleges.claremont.edu/ccms/event/the-6-cs-covid-and-the-5-claremont-colleges-prof-maryann-e-hohn/
LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid
CATEGORIES:Colloquium
END:VEVENT
END:VCALENDAR