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X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220301T123000
DTEND;TZID=America/Los_Angeles:20220301T132000
DTSTAMP:20260412T174042
CREATED:20220111T231348Z
LAST-MODIFIED:20220221T211055Z
UID:2524-1646137800-1646140800@colleges.claremont.edu
SUMMARY:Gap theorems for linear forms and for rotations on higher dimensional tori (Alan Haynes\, University of Houston)
DESCRIPTION:This talk is based on joint work with Jens Marklof\, and with Roland Roeder. The three distance theorem states that\, if x is any real number and N is any positive integer\, the points x\, 2x\, … \, Nx modulo 1 partition the unit interval into component intervals having at most 3 distinct lengths. We will present two higher dimensional analogues of this problem. In the first we consider points of the form mx+ny modulo 1\, where x and y are real numbers and m and n are integers taken from an expanding set in the plane. This version of the problem was previously studied by Geelen and Simpson\, Chevallier\, Erdős\, and many other people\, and it is closely related to the Littlewood conjecture in Diophantine approximation. The second version of the problem is a straightforward generalization to rotations on higher dimensional tori which\, surprisingly\, has been mostly overlooked in the literature. For the two dimensional torus\, we are able to prove a five distance theorem\, which is best possible. In higher dimensions we also have bounds\, but establishing optimal bounds is an open problem.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-alan-haynes-university-of-houston/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220301T150000
DTEND;TZID=America/Los_Angeles:20220301T160000
DTSTAMP:20260412T174042
CREATED:20230913T075541Z
LAST-MODIFIED:20230913T075541Z
UID:3226-1646146800-1646150400@colleges.claremont.edu
SUMMARY:Two-Bridge Knots Admit no Purely Cosmetic Surgeries (Thomas Mattman\, California State University\, Chico)
DESCRIPTION:(Joint with Ichihara\, Jong\, and Saito). We show that two-bridge knots admit no purely cosmetic surgeries\, ie no pair of distinct Dehn surgeries on such a knot produce 3-manifolds that are homeomorphic as oriented manifolds. Our argument is based on a recent result by Hanselman and a study of signature and finite type invariants of knots as well as the SL(2\,\C) Casson invariant.
URL:https://colleges.claremont.edu/ccms/event/two-bridge-knots-admit-no-purely-cosmetic-surgeries-thomas-mattman-california-state-university-chico/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220302T161500
DTEND;TZID=America/Los_Angeles:20220302T173000
DTSTAMP:20260412T174042
CREATED:20220221T184448Z
LAST-MODIFIED:20220221T202722Z
UID:2631-1646237700-1646242200@colleges.claremont.edu
SUMMARY:On sparse geometry of numbers (Prof. Lenny Fukshansky)
DESCRIPTION:Title: On sparse geometry of numbers\n\nSpeaker: Prof. Lenny Fukshansky\, Department of Mathematics\, Claremont McKenna College\n\n\nAbstract: Geometry of Numbers is an area of mathematics pioneered by Hermann Minkowski at the end of the 19th century. He achieved stunning success introducing a novel geometric framework into the study of algebraic numbers\, prompting mathematicians of later generations to compare his work to “the story of Saul\, who set out to look for his father’s asses and discovered a Kingdom” (J. V. Armitage). In this talk\, we will look at some contemporary variations of Minkowski’s classical results that will take us on a journey from linear algebra and convex analysis to algebraic number theory and arithmetic geometry. This is joint work with P. Guerzhoy and S. Kuehnlein. \n\n\nLenny Fukshansky is a Professor of Mathematics at Claremont McKenna College. His work is at the intersection of number theory\, discrete geometry and geometric combinatorics. He is especially interested in lattices\, quadratic forms\, polynomials\, height functions and Diophantine problems. When not doing math\, Lenny loves biking in the mountains and drinking wine\, although tries not to do it simultaneously.
URL:https://colleges.claremont.edu/ccms/event/on-sparse-geometry-of-numbers/
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:20220308T123000
DTEND;TZID=America/Los_Angeles:20220308T132000
DTSTAMP:20260412T174042
CREATED:20220112T041154Z
LAST-MODIFIED:20220222T011851Z
UID:2527-1646742600-1646745600@colleges.claremont.edu
SUMMARY:Equidistribution of norm 1 elements in cyclic number fields (Kate Petersen\, University of Minnesota Duluth)
DESCRIPTION:By Hilbert’s theorem 90\, if K is a cyclic number field with Galois group generated by g\, then any element of norm 1 can be written as a/g(a).  This gives rise to a natural height function on elements of norm 1.  I’ll discuss equidistribution problems and show that these norm 1 elements are equidistributed (in an appropriate quotient) with respect to this height.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-kate-petersen-university-of-minnesota-duluth/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220308T150000
DTEND;TZID=America/Los_Angeles:20220308T160000
DTSTAMP:20260412T174042
CREATED:20230913T075742Z
LAST-MODIFIED:20230913T075742Z
UID:3228-1646751600-1646755200@colleges.claremont.edu
SUMMARY:Systematically Detecting Flypes and Hexagonal Mosaics (Hugh Howards\, Wake Forest University)
DESCRIPTION:We talk about building knots using mosaics which were as introduced as a way of modeling quantum knots by Lomonaco and Kauffman and a newer variant\, hexagonal mosaics\, introduced by Jennifer McLoud-Mann. In the process we find a new bound on crossing numbers for hexagonal mosaics and find an infinite family of knots which do not achieve their hexagonal mosaic number while also in a projection which achieves their crossing number\, extending a result of Lew Ludwig et al. In the process we introduce a new tool which makes it easier to systematically recognize when two knots differ by a sequence of Flypes (for example\, giving a process to recognize that the Perko Pair were in fact the same knot). No background with mosaics or flypes is necessary. This is joint work with Jiong Li* and Xiotian Liu* (* indicates undergraduate students).
URL:https://colleges.claremont.edu/ccms/event/systematically-detecting-flypes-and-hexagonal-mosaics-hugh-howards-wake-forest-university/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220309T160000
DTEND;TZID=America/Los_Angeles:20220309T174500
DTSTAMP:20260412T174042
CREATED:20220307T083704Z
LAST-MODIFIED:20220307T083802Z
UID:2654-1646841600-1646847900@colleges.claremont.edu
SUMMARY:CCMS Field Committee Meeting
DESCRIPTION:The Field Committee Meeting is our chance to socialize with our colleagues and coordinate our course offerings for the coming academic year (2022-2023). Please come to discuss course offerings and other synergistic items. Refreshments in the Shanahan sunken courtyard at HMC starting at 4:00\, meeting in Shanahan B460 at 4:20. \nWe will be back in person for this meeting. A Zoom link will also be sent out\, for those unable to attend physically.
URL:https://colleges.claremont.edu/ccms/event/ccms-field-committee-meeting-2/
LOCATION:Shanahan B460\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium,Special Event
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220321T161500
DTEND;TZID=America/Los_Angeles:20220321T171500
DTSTAMP:20260412T174042
CREATED:20220110T210855Z
LAST-MODIFIED:20230816T041537Z
UID:2521-1647879300-1647882900@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Jamie Haddock (HMC)
DESCRIPTION:Title: Connections between Iterative Methods for Linear Systems and Consensus Dynamics on Networks \nAbstract:\nThere is a well-established linear algebraic lens for studying consensus dynamics on networks\, which has yielded significant theoretical results in areas like distributed computing\, modeling of opinion dynamics\, and ranking methods.  Recently\, strong connections have been made between problems of consensus dynamics on networks and classical iterative methods in numerical linear algebra.  This talk will discuss an instance of these connections\, in particular between the gossip methods in distributed computing and the Kaczmarz methods in numerical linear algebra.  We will present theoretical convergence results\, empirical and numerical simulation results\, and discuss future work in applying these numerical linear algebraic techniques to broader and more complex consensus dynamics models\, especially those coming from opinion dynamics and ranking.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-jamie-haddock-hmc/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, 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:20220322T123000
DTEND;TZID=America/Los_Angeles:20220322T132000
DTSTAMP:20260412T174042
CREATED:20220128T031313Z
LAST-MODIFIED:20220321T182413Z
UID:2575-1647952200-1647955200@colleges.claremont.edu
SUMMARY:Continuous extensions of Ramanujan-expandable arithmetic functions (Matthew Fox\, Perimeter Institute for Theoretical Physics and Chai Karamchedu\, Sandia National Labs)
DESCRIPTION:We describe a natural way to continuously extend arithmetic functions that admit a Ramanujan expansion and derive the conditions under which such an extension exists. In particular\, we show that the absolute convergence of a Ramanujan expansion does not guarantee the convergence of its real variable generalization. We take the divisor function as a case study\, and consider how to continuously extend it to the reals.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-matthew-fox-perimeter-institute-for-theoretical-physics-and-chai-karamchedu-sandia-national-labs/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220322T150000
DTEND;TZID=America/Los_Angeles:20220322T160000
DTSTAMP:20260412T174042
CREATED:20230913T075943Z
LAST-MODIFIED:20230913T075943Z
UID:3229-1647961200-1647964800@colleges.claremont.edu
SUMMARY:Towards Knot Homology for 3-Manifolds (Aaron Mazel-Gee\, California Institute of Technology)
DESCRIPTION:The Jones polynomial is an invariant of knots in R^3. Following a proposal of Witten\, it was extended to knots in 3-manifolds by Reshetikhin-Turaev using quantum groups. Khovanov homology is a categorification of the Jones polynomial of a knot in R^3\, analogously to how ordinary homology is a categorification of the Euler characteristic of a space. It is a major open problem to extend Khovanov homology to knots in 3-manifolds. In this talk\, I will explain forthcoming work towards solving this problem\, joint with Leon Liu\, David Reutter\, Catharina Stroppel\, and Paul Wedrich. Roughly speaking\, our contribution amounts to the first instance of a braiding on 2-representations of a categorified quantum group. More precisely\, we construct a braided (infinity\,2)-category that simultaneously incorporates all of Rouquier’s braid group actions on Hecke categories in type A\, articulating a novel compatibility among them.
URL:https://colleges.claremont.edu/ccms/event/towards-knot-homology-for-3-manifolds-aaron-mazel-gee-california-institute-of-technology/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220323T161500
DTEND;TZID=America/Los_Angeles:20220323T173000
DTSTAMP:20260412T174042
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
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220329T123000
DTEND;TZID=America/Los_Angeles:20220329T132000
DTSTAMP:20260412T174042
CREATED:20220127T202631Z
LAST-MODIFIED:20220326T051329Z
UID:2573-1648557000-1648560000@colleges.claremont.edu
SUMMARY:Peg solitaire in multiple colors on graphs (Tara Davis\, Hawaii Pacific University and Roberto Soto\, Cal State Fullerton)
DESCRIPTION:Peg solitaire is a popular one person board game that has been played in many countries on various board shapes. Recently\, peg solitaire has been studied extensively in two colors on mathematical graphs. We will present our rules for multiple color peg solitaire on graphs. We will present some student and faculty results classifying the solvability of the game on several graceful graphs\, as well as discuss open questions.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-tara-davis-hawaii-pacific-university-and-roberto-soto-cal-state-fullerton/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220329T150000
DTEND;TZID=America/Los_Angeles:20220329T160000
DTSTAMP:20260412T174042
CREATED:20230913T080151Z
LAST-MODIFIED:20230913T080151Z
UID:3230-1648566000-1648569600@colleges.claremont.edu
SUMMARY:Kauffman Bracket Skein Modules and their Structure (Rhea Palak Bakshi\, ETH Zurich)
DESCRIPTION:Skein modules were introduced by Jozef H. Przytycki as generalisations of the Jones and HOMFLYPT polynomial link invariants in the 3-sphere to arbitrary 3-manifolds. The Kauffman bracket skein module (KBSM) is the most extensively studied of all. However\, computing the KBSM of a 3-manifold is notoriously hard\, especially over the ring of Laurent polynomials. With the goal of finding a definite structure of the KBSM over this ring\, several conjectures and theorems were stated over the years for KBSMs. We show that some of these conjectures\, and even theorems\, are not true. In this talk I will briefly discuss a counterexample to Marche’s generalisation of Witten’s conjecture. I will show that a theorem stated by Przytycki in 1999 about the KBSM of the connected sum of two handlebodies does not hold. I will also give the exact structure of the KBSM of the connected sum of two solid tori.
URL:https://colleges.claremont.edu/ccms/event/kauffman-bracket-skein-modules-and-their-structure-rhea-palak-bakshi-eth-zurich/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220330T161500
DTEND;TZID=America/Los_Angeles:20220330T173000
DTSTAMP:20260412T174042
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:20220404T161500
DTEND;TZID=America/Los_Angeles:20220404T173000
DTSTAMP:20260412T174042
CREATED:20220328T041515Z
LAST-MODIFIED:20220328T041515Z
UID:2677-1649088900-1649093400@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Kathryn G. Link (UC Davis)
DESCRIPTION:Title: Viscoelastic Effects of Spontaneous Oscillations of Elastic Filaments in the Follower-Force Problem. \nAbstract: It is well know that microorganisms\, such as bacteria and eukaryotes\, often move in intricate environments experiencing mechano-chemical dynamics. These environments consist of rheologically complex substances such as mucus and other biofilms that are more complicated than water.  Spermatozoa (sperm)\, for example\, swim in viscoelastic mucus via deformations of their flagella\, which are slender threadlike structures that are powered by internal molecular motors. The motor activity generates flagellar bending\, resulting in an undulatory beat. The effects of a fading-memory fluid on emergent properties of these spontaneous oscillations are not entirely known. Here we combine analysis with numerical simulations of finite-length\, small-amplitude pinned filaments subject to a compressive follower force to elucidate the Hopf bifurcation that occurs with increasing forcing on the filament. Additionally\, we determine characteristics of the flapping motion\, specifically frequency and amplitude changes and how those changes depend on follower force strength as well as fluid elasticity.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-kathryn-g-link-uc-davis/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, 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:20220405T123000
DTEND;TZID=America/Los_Angeles:20220405T132000
DTSTAMP:20260412T174042
CREATED:20220125T062030Z
LAST-MODIFIED:20220326T052025Z
UID:2556-1649161800-1649164800@colleges.claremont.edu
SUMMARY:Covering by polynomial planks (Alexey Glazyrin\, University of Texas Rio Grande Valley)
DESCRIPTION:In 1932\, Tarski conjectured that a convex body of width 1 can be covered by planks\, regions between two parallel hyperplanes\, only if the total width of planks is at least 1. In 1951\, Bang proved the conjecture of Tarski. In this work we study the polynomial version of Tarski’s plank problem. \nWe note that the recent polynomial proofs of the spherical and complex plank covering problems by Zhao and Ortega-Moreno give some general information on zeros of real and complex polynomials restricted to the unit sphere. As a corollary of these results\, we establish several generalizations of the Bang plank covering theorem.\nUsing the polynomial approach\, we also prove the strengthening of the Fejes Tóth zone conjecture on covering a sphere by spherical segments\, closed parts of the sphere between two parallel hyperplanes. In particular\, we show that the sum of angular widths of spherical segments covering the whole sphere is at least π. \nThis is a joint work with Roman Karasev and Alexandr Polyanskii.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-alexey-glazyrin-university-of-texas-rio-grande-valley/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220411T161500
DTEND;TZID=America/Los_Angeles:20220411T171500
DTSTAMP:20260412T174042
CREATED:20220125T182732Z
LAST-MODIFIED:20220125T182732Z
UID:2562-1649693700-1649697300@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Applied Attractions at Claremont Colleges
DESCRIPTION:During this student-centered Applied Math Seminar\, there will be discussion and presentation about upcoming courses in applied mathematics to help students make their enrollment choices for Fall 2022 and beyond.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-applied-attractions-at-claremont-colleges/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, 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:20220412T123000
DTEND;TZID=America/Los_Angeles:20220412T132000
DTSTAMP:20260412T174042
CREATED:20211213T015630Z
LAST-MODIFIED:20220225T220354Z
UID:2510-1649766600-1649769600@colleges.claremont.edu
SUMMARY:Geometrization of Markov numbers (Oleg Karpenkov\, University of Liverpool)
DESCRIPTION:In this talk we link discrete Markov spectrum to geometry of continued fractions. As a result of that we get a natural generalization of classical Markov tree which leads to an efficient computation of Markov minima for all elements in generalized Markov trees.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-oleg-karpenkov-university-of-liverpool/
LOCATION:TBA
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220412T150000
DTEND;TZID=America/Los_Angeles:20220412T160000
DTSTAMP:20260412T174042
CREATED:20230913T080353Z
LAST-MODIFIED:20230913T080353Z
UID:3231-1649775600-1649779200@colleges.claremont.edu
SUMMARY:Cusps in Convex Projective Geometry (Martin Bobb\, IHES)
DESCRIPTION:Convex real projective structures generalize hyperbolic structures in a rich way. We will discuss a class of manifolds introduced by Cooper Long and Tillmann\, which include finite-volume cusped hyperbolic manifolds and other manifolds with well-controlled ends. These manifolds have nice deformation theoretic properties\, and we will conclude with an existence theorem for novel structures on some hyperbolic manifolds.
URL:https://colleges.claremont.edu/ccms/event/cusps-in-convex-projective-geometry-martin-bobb-ihes/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220413T161500
DTEND;TZID=America/Los_Angeles:20220413T173000
DTSTAMP:20260412T174042
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:20220419T123000
DTEND;TZID=America/Los_Angeles:20220419T132000
DTSTAMP:20260412T174042
CREATED:20220124T234622Z
LAST-MODIFIED:20220413T160024Z
UID:2553-1650371400-1650374400@colleges.claremont.edu
SUMMARY:A conjugacy criterion for two pairs of 2 x 2 matrices over a commutative ring (Bogdan Petrenko\, Eastern Illinois University)
DESCRIPTION:I will explain how to apply presentations of algebras (together with some classical results from non-commutative algebra) to obtain some 5 polynomial invariants telling us when two pairs of 2×2 matrices over a commutative ring are conjugate\, assuming that each of these pairs generate the matrix algebra. This talk is based on my joint paper with Marcin Mazur (Binghamton University):  Separable algebras over infinite fields are 2-generated and finitely presented\, Arch. Math. 93 (2009)\, 521-529.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-bogdan-petrenko-eastern-illinois-university/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220420T161500
DTEND;TZID=America/Los_Angeles:20220420T173000
DTSTAMP:20260412T174042
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:20220425T161500
DTEND;TZID=America/Los_Angeles:20220425T171500
DTSTAMP:20260412T174042
CREATED:20211213T202110Z
LAST-MODIFIED:20230816T041400Z
UID:2518-1650903300-1650906900@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Alona Kryshchenko (CSUCI)
DESCRIPTION:Title: Data science and applications in dynamic topic modeling \nAbstract:\nThe shockwaves of the big data boom have thrown into sharp relief the critical need for domain-driven\, large-scale data analytic techniques across the fields of\, among others\, finance\, political science\, economics\, psychology\, and medicine.  It is not simply the size of data sets that contributes to the extreme challenges of data analysis in these fields\, but the inherent complexity of this data.  Often this data is multi-modal\, with modes representing measurements along different dimensions (e.g.\, spatial\, and temporal dimensions of video data\, or word and document dimensions of text corpora data).  This data is often naturally formatted as a tensor\, a higher-order generalization of a matrix. In this talk\, we will explore nonnegative tensor decompositions and their applications in dynamic topic modeling.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-alona-kryshchenko-csuci/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, 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:20220426T123000
DTEND;TZID=America/Los_Angeles:20220426T132000
DTSTAMP:20260412T174042
CREATED:20220127T053038Z
LAST-MODIFIED:20220421T192843Z
UID:2570-1650976200-1650979200@colleges.claremont.edu
SUMMARY:Bounds for nonzero Littlewood-Richardson coefficients (Müge Taskin\, Boğaziçi University\, Turkey)
DESCRIPTION:As  $\lambda$ runs through all integer partitions\, the set of   Schur functions $\{s_{\lambda}\}_\lambda$ forms a basis in the ring of symmetric functions. Hence the rule $$s_{\lambda}s_{\mu}=\sum c_{\lambda\,\mu}^{\gamma} s_{\gamma}$$ makes sense and the coefficients $c_{\lambda\,\mu}^{\gamma}$ are called \textit{Littlewood-Richardson (LR) coefficients}. The calculations of Littlewood-Richardson coefficients has been an important problem from the first time they were introduced\, due to their important role in representation theory of symmetric groups and enumerative geometry. \nIn this talk we will explain some of the main features of these coefficients and provide a summary of the characterizations given by Littlewood and Richardson (1934)\, Berenstein- Zelevinsky ()1988) and Knutson-Tao (1999). Then we will explain our approach to a seemingly easier problem\, that is\, the determination of  triples $(\lambda\,\mu\,\gamma)$  of partitions for which $c_{\lambda\,\mu}^{\gamma}$ is non zero. Our method describes some upper and lower bounds for triples $(\lambda\,\mu\,\gamma)$ with nonzero  $c_{\lambda\,\mu}^{\gamma}$\, by using  Young diagram combinatorics and especially\, the indispensable Dominance order. This is joint work with R. Bedii Gümüş and supported by Tübitak/1001/115F156.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-muge-taskin-bogazici-university-turkey/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220427T161500
DTEND;TZID=America/Los_Angeles:20220427T173000
DTSTAMP:20260412T174042
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:20220502T161500
DTEND;TZID=America/Los_Angeles:20220502T171500
DTSTAMP:20260412T174042
CREATED:20220422T161142Z
LAST-MODIFIED:20220422T161142Z
UID:2651-1651508100-1651511700@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Almut Burchard (U. Toronto)
DESCRIPTION:Title: What is the best shape? Geometric\nproblems arising in aggregation models \nAbstract: How do pair interactions shape the large-scale\nbehaviour of a cloud of particles (animals\,\nsocial agents …) ?  In the most basic\nmodels\, the shape of the cloud is determined\nby minimizing an attractive-repulsive interaction\nenergy under suitable geometric constraints. \nWhen can we expect aggregation to occur? what\nis the shape of the resulting flock?  I will\ndescribe recent work on optimal shapes in capacitor\nproblems  that occur as limiting cases. \n 
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-almut-burchard-u-toronto/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, 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:20220503T123000
DTEND;TZID=America/Los_Angeles:20220503T132000
DTSTAMP:20260412T174042
CREATED:20220128T185315Z
LAST-MODIFIED:20220418T040129Z
UID:2583-1651581000-1651584000@colleges.claremont.edu
SUMMARY:Beran’s tests of uniformity for discrete data (Michael Orrison\, HMC)
DESCRIPTION:Suppose you are given a data set that can be viewed as a nonnegative integer-valued function defined on a finite set. A natural question to ask is whether the data can be viewed as a sample from the uniform distribution on the set\, in which case you might want to apply some sort of test of uniformity to the data. In this talk\, I will share some work Anna Bargagliotti (Loyola Marymount University) and I have been doing to better understand a particular class of tests of uniformity first described in a 1968 paper written by R.J. Beran. Our approach uses tools from harmonic analysis on finite groups\, and in this talk I will introduce those tools and then show how they can easily be used when working with discrete circular data.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-michael-orrison-hmc/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220503T150000
DTEND;TZID=America/Los_Angeles:20220503T160000
DTSTAMP:20260412T174042
CREATED:20230913T080534Z
LAST-MODIFIED:20230913T080534Z
UID:3232-1651590000-1651593600@colleges.claremont.edu
SUMMARY:On the Non-Orientable 4-Genus of Double Twist Knots\, Part II: Lower Bounds (Jim Hoste\, Pitzer College)
DESCRIPTION:The non-orientable 4-genus of a knot K is the smallest first Betti number of any non-orientable surface in the 4-ball spanning the knot. It is defined to be zero if the knot is slice. In joint work with Patrick Shanahan and Cornelia Van Cott\, we attempt to determine the value of this invariant for double twist knots. In an earlier talk at this seminar\, I presented methods of determining upper bounds by explicitly describing non-orientable spanning surfaces. In this talk I describe methods for establishing lower bounds using linking forms on 4-manifolds and a major result of Donaldson. These methods suffice to compute the non-oprientable 4-genus of several infinite families of double twist knots.
URL:https://colleges.claremont.edu/ccms/event/on-the-non-orientable-4-genus-of-double-twist-knots-part-ii-lower-bounds-jim-hoste-pitzer-college/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220906T121500
DTEND;TZID=America/Los_Angeles:20220906T131000
DTSTAMP:20260412T174042
CREATED:20220811T001752Z
LAST-MODIFIED:20220902T173415Z
UID:2779-1662466500-1662469800@colleges.claremont.edu
SUMMARY:Monodromy groups of Belyi Lattes maps (Edray Goins\, Pomona College)
DESCRIPTION:An elliptic curve $ E: y^2 + a_1 \\, x \\, y + a_3 \\, y = x^3 + a_2 \\, x^2 + a_1 \\, x + a_6 $ is a cubic equation which has two curious properties: (1) the curve is nonsingular\, so that we can draw tangent lines to every point $ P = (x\,y) $ on the curve; and (2) the collection of complex points\, namely $ E(\mathbb C) $\, forms an abelian group under a certain binary operation $ \bigoplus: E(\mathbb C) \times E(\mathbb C) \to E(\mathbb C) $.   In particular\, for every positive integer $N$\, the map $ P \mapsto [N] P $ which adds a point $ P \in E(\mathbb C) $ to itself $N$ times is a group homomorphism.   A rational map $\gamma: \mathbb P^1(\mathbb C) \to \mathbb P^1(\mathbb C) $ from the Riemann Sphere to itself is said to be a Latt\`{e}s Map if there are “well-behaved” maps $ \phi: E(\mathbb C) \to \mathbb P^1(\mathbb C) $ and $\psi: E(\mathbb C) \to E(\mathbb C) $ such that $\gamma \circ \phi = \phi \circ \psi$.  We are interested in those Latt\`{e}s Maps $\gamma$ which are also Bely\u{\i} Maps\, that is\, the only critical values are $ 0 $\, $ 1 $\, and $ \infty $.  Work of Zeytin classifies all such maps: For example\, if $ E: y^2 = x^3 + 1 $ then $ \phi: (x\,y) \mapsto (y+1)/2 $ while $\psi = [N] $ for some positive integer $N$.\n\nWe would like to know more about Bely\u{\i} Latt\`{e}s Maps $\gamma$.  What can we say about such maps?  What are their Dessin d’Enfants?  In some cases\, this is a bipartite graph with $ 3 \\, N^2 $ vertices.  What are their monodromy groups? Sometimes this is a group of size $ 3 \\, N^2 $.  In this talk\, we explain the complete answers to these questions\, exploiting the relationship between fundamental groups of Riemann surfaces and Galois groups of function fields.  This work is conducted as part of the Pomona Research in Mathematics Experience (DMS-2113782).
URL:https://colleges.claremont.edu/ccms/event/monodromy-groups-of-belyi-lattes-maps-edray-goins-pomona-college/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220907T161500
DTEND;TZID=America/Los_Angeles:20220907T173000
DTSTAMP:20260412T174042
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:20220908T160000
DTEND;TZID=America/Los_Angeles:20220908T170000
DTSTAMP:20260412T174042
CREATED:20220905T060933Z
LAST-MODIFIED:20230816T041748Z
UID:2824-1662652800-1662656400@colleges.claremont.edu
SUMMARY:Factorization theorems of Backward Shifts and Nuclear Maps (Asuman Aksoy\, CMC)
DESCRIPTION:The theory of compact linear operators between Banach spaces has a classical core and is familiar to many. Perhaps lesser known is the factorization of compact maps through a closed subspace of \(c_0\) [2]. This factorization theorem has a number of important connections and consequences analogous to how the ideals of continuous linear operators factoring compactly through \(\ell^p\)-spaces \((1\leq p < \infty)\) (see [1] and the references therein). In this talk\, even though hypercyclic operators are not compact\, we consider operator ideals generated by hypercyclic backward weighted shifts and examine their factorization properties. (Joint work with Yunied Puig)\n\n\n\nFourie\, Jan H. Injective and surjective hulls of classical \(p\)-compact operators with application to unconditionally \(p\)-compact operators. Studia Math.  240  (2018)\, no. 2\, 147–159. MR3720927\nTerzioğlu\, T. A characterization of compact linear mappings. Arch. Math. (Basel) 22 (1971)\, 76–78. MR0291865
URL:https://colleges.claremont.edu/ccms/event/factorization-theorems-of-backward-shifts-and-nuclear-maps-asuman-aksoy-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
END:VCALENDAR