BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Claremont Center for the Mathematical Sciences - ECPv6.15.17.1//NONSGML v1.0//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Claremont Center for the Mathematical Sciences X-ORIGINAL-URL:https://colleges.claremont.edu/ccms X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences REFRESH-INTERVAL;VALUE=DURATION:PT1H X-Robots-Tag:noindex X-PUBLISHED-TTL:PT1H BEGIN:VTIMEZONE TZID:America/Los_Angeles BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20240310T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20241103T090000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20250309T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20251102T090000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20260308T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20261101T090000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250201T100000 DTEND;TZID=America/Los_Angeles:20250201T120000 DTSTAMP:20260403T143617 CREATED:20250125T112344Z LAST-MODIFIED:20250127T220052Z UID:3655-1738404000-1738411200@colleges.claremont.edu SUMMARY:GEMS February 1st Session DESCRIPTION:This GEMS session will be facilitated by Professor Qidi Peng and William Wu from Claremont Graduate University.\n\n\nTitle: The Beauty of Fractal Geometry\n\n\n\nAbstract:  We will introduce fractal geometries\, which are described in continuous but nowhere differential functions. We will tell the students where to find these geometries in the nature and how to describe them using mathematical tools\, such as box-counting dimension and self-similarity index. We will host small games to let students feel the beauty of fractal geometry. URL:https://colleges.claremont.edu/ccms/event/gems-february-1st-session/ LOCATION:Shanahan 1480\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States CATEGORIES:GEMS END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250204T121500 DTEND;TZID=America/Los_Angeles:20250204T131000 DTSTAMP:20260403T143617 CREATED:20250123T065341Z LAST-MODIFIED:20250123T065341Z UID:3639-1738671300-1738674600@colleges.claremont.edu SUMMARY:Quandle cohomology quiver representations (Sam Nelson\, CMC) DESCRIPTION:Quandles are algebraic structures encoding the motion of knots through space. Quandle cocycle quivers categorify the quandle cocycle invariant. In this talk we will define a quiver representation associated to quandle cocycle quivers and use it to obtain new polynomial invariants of knots. URL:https://colleges.claremont.edu/ccms/event/quandle-cohomology-quiver-representations-sam-nelson-cmc/ LOCATION:Estella 2113 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250205T161500 DTEND;TZID=America/Los_Angeles:20250205T173000 DTSTAMP:20260403T143617 CREATED:20250125T041206Z LAST-MODIFIED:20250129T061036Z UID:3643-1738772100-1738776600@colleges.claremont.edu SUMMARY:CCMS Colloquium: (Hrushikesh Mhaskar\, Claremont Grad Uni.) DESCRIPTION:Speaker: Hrushikesh Mhaskar\, Distinguished Research Professor of Mathematics\, Claremont Graduate University \nTitle: Local Analysis Of Global Data \nAbstract: For a periodic integrable function f\, the definition of Fourier coefficients requires the values of f on the entire period.\nWe refer to such data as “global” data. Even though the sequence of Fourier coefficients determines f uniquely\,\nthey do not reveal by themselves local features such as the locations of discontinuities of f (whose definition requires\nthe values of f locally near the point of discontinuity). We will describe our work for extracting such local features\nfrom global data. We will discuss some modern applications such as the separation of blind source signals\, and\nmachine learning problems\, classification and regression in particular. \nBio: Hrushikesh Mhaskar is a research professor of mathematics. He holds a PhD in mathematics\, MS in computer science\, and MS in mathematics from Ohio State University\, and an MSc in mathematics from Indian Institute of Technology\, Mumbai. \nMhaskar’s area of research is approximation theory and harmonic analysis. He has done pioneering work in the theory of weighted polynomial approximation on the real line\, making deep contributions in the areas of orthogonal polynomial expansions and applications of potential theory to the study of orthogonal polynomials\, now known as Freud polynomials. This work is recognized through such terms as Mhaskar-Rahmanov-Saff number and Mhaskar-Saff functional. Since 1990\, he has been interested in machine learning and signal processing\, making pioneering contributions to the theory of approximation capabilities (expressive power) of shallow and deep neural networks\, kernel-based methods\, and manifold learning. He has published two books\, five edited volumes\, and over 150 refereed papers. His research is supported currently by the National Science Foundation\, and previously by the U.S. Air Force\, U.S. Army\, and Office of the Director of National Intelligence (U.S.A.). \nMhaskar serves on the editorial boards of Applied and Computational Harmonic Analysis\, Journal of Approximation Theory\, Frontiers in Applied Mathematics and Statistics\, Jaen Journal of Approximation\, and Mathematical Foundations of Computing. Currently\, he has an affiliation with the University of California\, Santa Barbara. His honors include the Alexander v. Humboldt fellowship (5 times)\, John von Neumann distinguished professorship at Technical University in Munich in 2011\, and August-Wilhelm Scheer visiting professor at TUM (postponed due to the pandemic). URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-hrushikesh-mhaskar-claremont-grad-uni/ LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Colloquium ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu GEO:34.0999157;-117.7142668 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250211T121500 DTEND;TZID=America/Los_Angeles:20250211T131000 DTSTAMP:20260403T143617 CREATED:20250206T203702Z LAST-MODIFIED:20250206T203729Z UID:3689-1739276100-1739279400@colleges.claremont.edu SUMMARY:On the illumination problem for convex sets (Lenny Fukshansky\, CMC) DESCRIPTION:Let K be a compact convex set in the Euclidean space R^n. How many lights are needed to illuminate its boundary? A classical conjecture of Boltyanskii (1960) asserts that 2^n lights are sufficient to illuminate any such set K. While this is still open\, an earlier observation of Hadwiger (1945) guarantees that if K has smooth boundary\, then n+1 lights are sufficient: we only need to position these lights at the vertices of a simplex containing K in its interior. In fact\, this observation allows us to estimate how far from K these lights need to be. A more delicate problem arises if we insist on placing the lights at points of a fixed lattice L: how far from K must the lights be then? We discuss this problem\, producing a bound on this distance\, which depends on certain orthogonality and symmetry properties of the lattice in question. Interestingly\, for some nice classes of lattices\, a bound independent of L can be produced. URL:https://colleges.claremont.edu/ccms/event/on-the-illumination-problem-for-convex-sets/ LOCATION:Estella 2113 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250212T161500 DTEND;TZID=America/Los_Angeles:20250212T173000 DTSTAMP:20260403T143617 CREATED:20250125T041900Z LAST-MODIFIED:20250204T061130Z UID:3644-1739376900-1739381400@colleges.claremont.edu SUMMARY:CCMS Colloquium: Stochastic Agent-Based Models in Mathematical Biology (Nabil Fadai\, University of Nottingham) DESCRIPTION:Speaker: Nabil Fadai\, Professor of Mathematical Biology\, University of Nottingham \nTitle: Stochastic Agent-Based Models in Mathematical Biology \nAbstract: In the last decade\, there has been a movement to describe biological and social systems via agent-based models\, which track individual agents (organisms\, cells\, people) and their environment through a set of deterministic and probabilistic rules. In this talk\, we examine how these local individual-based mechanisms translate into global population dynamics. In particular\, we will consider the Allee effect in population models\, which were originally proposed to describe population dynamics that cannot be explained by exponential and logistic growth models. Using stochastic individual-based models\, we can obtain a modelling framework that translates particular global Allee effects to specific individual-based mechanisms. This modelling framework is then extended to applications in the social sciences\, including the modelling of sports riots and panic-buying. \nBio: Nabil  Fabir is an assistant professor at the University of Nottingham\, whose research focuses on employing reaction-diffusion equations and agent-based modelling to describe physical phenomena in a variety of applications. Originally from the west coast of Canada\, Nabil completed his PhD in the Industrially Focused Mathematical Modelling doctoral training centre at the University of Oxford in 2018. He worked as a postdoctoral researcher at the Queensland University of Technology in Brisbane\, Australia\, and has been at Nottingham since 2020. In addition to his research in industrial mathematics and mathematical biology\, Nabil is passionate about inclusive curriculum and accessible teaching to undergraduate students. \n  URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-nabil-fadai-university-of-nottingham/ LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Colloquium ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu GEO:34.0999157;-117.7142668 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250215T090000 DTEND;TZID=America/Los_Angeles:20250215T170000 DTSTAMP:20260403T143617 CREATED:20250117T153752Z LAST-MODIFIED:20250211T005046Z UID:3632-1739610000-1739638800@colleges.claremont.edu SUMMARY:"The alchemy of mixing mathematics" a one-day workshop in the history and philosophy of mathematics DESCRIPTION:This one-day workshop assembles diverse perspectives from the history and philosophy of mathematics to examine ways in which mathematics is applied and impure. Topics will range from applications of mathematics in the natural and social sciences to impure proofs that transcend a single mathematical domain.  \nPlease RSVP here by Monday\, February 10th to attend the workshop and identify any dietary restrictions. \nLocation: Avery 201\, Pitzer College \n\nSchedule of talks\n9:35 Welcome and opening remarks \n9:40 E. A. Hunter (University of Chicago) on “Tradition at Play: Reassessing Archimedes’ Measurement of the Circle” \n10:30 Coffee/tea break \n10:50 Erich Reck (UC Riverside) on “Structuralist Understanding in Mathematical Practice” \n11:50 Lunch break \n1:00 Patrick Ryan (Chapman University) on “Impurity\, Simplicity\, and Explanatory Proof” \n2:00 Claudio Gómez-Gonzáles (Carleton College) on “Plants of slow growth: reducing coefficients and sustaining mathematics” \n3:00 Coffee/tea break \n3:20 Emrys King (Pomona College) on “The Mixing of Eugenics and Statistics in English-Language Pedagogy Across the 20th Century” \n3:50 Ainslee Archibald and Jane Panangaden (Pitzer College) on “A Close-Reading of ‘Sterilization for Human Betterment'” \n4:40 (snack) mix post-conference reception \n\nAbstracts\nE. A. Hunter (University of Chicago) on “Tradition at Play: Reassessing Archimedes’ Measurement of the Circle“ \nabstract: No other text in the Archimedean corpus has a richer history than Measurement of the Circle. Such richness comes at a price\, however\, as many scholars doubt the authenticity of the extant text\, citing its seemingly negligent argumentation and the triviality of the second proposition\, which also relies on the third’s approximation of pi. These qualities are at odds with our image of Archimedes\, leading modern editors to modify the text: E.J. Dijksterhuis relegates proposition two and Thomas Heath omits it entirely. This presentation challenges the assumption that the primary aim of ancient Greek mathematicians was axiomatic-deductive rigor. Instead\, it situates Measurement of the Circle within its broader literary and intellectual context—one with its own traditions and textual conventions. Through a close analysis of the rhetorical techniques and structural features of the propositions\, this presentation reevaluates the text’s authenticity and demonstrates how the propositions function within this framework. While the authenticity of any ancient work will always remain open to debate\, a key takeaway is the playfulness present in Archimedes’ mathematical writing. The presentation concludes by reflecting on the fragility of our connection to ancient Greek mathematics and the ways in which modern expectations shape the evaluation of historical sources. \nErich Reck (UC Riverside) on “Structuralist Understanding in Mathematical Practice” \nabstract: When it comes to structuralism in the philosophy of mathematics\, the focus is often on metaphysical issues\, sometimes supplemented by basic epistemological questions.  But as I have argued elsewhere\, mathematical structuralism had its origins primarily in certain methodological developments\, from the late 19th century on\, that added up to “modern mathematics”.  This brings “methodological structuralism” into the center of attention.  As a next step\, I will now consider how these developments brought with them several distinctive levels or kinds of mathematical understanding.  For illustration I will go through a number of examples\, ranging from Dedekind through Hilbert\, Noether\, and Bourbaki to recent mathematics.  In doing so\, I will attempt to clarify the sense in which certain kinds of “understanding” are important goals in mathematical practice. \nPatrick Ryan (Chapman University) on “Impurity\, Simplicity\, and Explanatory Proof” \nabstract: In this talk\, I will argue for an association between impure proofs and explanatory proofs in contemporary mathematics. Broadly speaking\, a proof of a theorem ϕ is said to be impure if it draws on what is “extrinsic\,” “distant\,” or “foreign” to the content of ϕ. In a similarly broad fashion\, a proof π of ϕ is said to be explanatory if the proof shows why ϕ is true\, thereby distinguishing π from other proofs merely showing that ϕ is true. My earlier work has aimed to show how it is even possible for an impure proof to be explanatory. Here\, I aim to show how an impure proof can actually generate explanatory power. My contention is that this often occurs because the impure resources produce a particular kind of simplicity that I call “conceptual speed-up.” I justify my philosophical claims via an examination of two central number-theoretic results\, Szemerédi’s theorem and the Prime Number Theorem\, and various of their proofs. Finally\, I conclude by discussing what my analysis shows about the nature of explanation in mathematics. \nClaudio Gómez-Gonzáles (Carleton College) on “Plants of slow growth: reducing coefficients and sustaining mathematics” \nabstract: In this talk\, we offer a concrete\, visual\, and historical introduction to resolvent degree (RD)\, an invariant that aspires to quantify just how hard solving algebraic equations can be. This overview makes contact with the origins of topology\, miracles of classical algebraic geometry\, and Klein’s “hypergalois” program\, which dare us to push beyond the solvable/unsolvable dichotomy. Throughout the talk\, we will reflect on the past and future of resolvent problems\, institutional processes that shape mathematical consensus\, and what we do and do not know about RD. Ultimately\, we seek a deeper understanding of how mathematical institutions sustain themselves\, particularly in the context of accelerating environmental\, economic\, and geopolitical crises. \nEmrys King (Pomona College) on “The Mixing of Eugenics and Statistics in English-Language Pedagogy Across the 20th Century” \nabstract: Today\, we find ourselves surrounded by statistics and data. However\, the omnipresence of statistical methods is a new phenomenon. The first extension of the method of least squares as a means to characterize non-observational error was by Sir Francis Galton\, in studies of heredity in the pursuit of eugenics. The initial studies published by Galton were soon extended by Karl Pearson\, a professor of statistics and professed eugenicist. I argue that the eugenic beliefs of these men fueled their pioneering studies of linear regression and thus influenced the statistical tools themselves. This merits a further evaluation of the presence of eugenic ideology statistical pedagogy post-Galton. To begin tackling this evaluation\, I present a preliminary review of statistics textbooks from 1880-1970\, assessed for their citation and/or approval of eugenic ideology\, or lack thereof. \nAinslee Archibald and Jane Panangaden (Pitzer College) on “A Close-Reading of ‘Sterilization for Human Betterment'” \nabstract: The Human Betterment Foundation was a pro-eugenic sterilization think-tank and propaganda organization that operated in Pasadena between 1928 and 1942. At the end of 1929 its founder Ezra Gosney and employee Paul Popenoe published a short booklet entitled “Sterilization for Human Betterment: A Summary of results of 6000 Operations in California\, 1909-1929” in which they lay out their case for the necessity\, safety\, and desirability of eugenic sterilization. In this talk we explore differences between the published version of this booklet  and an earlier draft with handwritten edits which is located in the Gosney Papers collection of the Caltech archives. We pay special attention to the authors’ use of data and statistics in their arguments while using a variety of archival documents to track their sources and methods of analysis. URL:https://colleges.claremont.edu/ccms/event/the-alchemy-of-mixing-mathematics/ CATEGORIES:History and Philosophy of Mathematics Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250217T161500 DTEND;TZID=America/Los_Angeles:20250217T171500 DTSTAMP:20260403T143617 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\, Pitzer College\, Claremont Colleges \nKo Honda\, \, University of California\, Los Angeles \nYi Ni\, \, California Institute of Technology \nHelen Wong\, \, Claremont McKenna College\, Claremont Colleges \n  URL:https://colleges.claremont.edu/ccms/event/n12th-southern-california-topology-colloquium/ LOCATION:Benson Auditorium\, 1050 N Mills Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Special Event,Topology Seminar ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250310T161500 DTEND;TZID=America/Los_Angeles:20250310T171500 DTSTAMP:20260403T143617 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:20250311T150000 DTEND;TZID=America/Los_Angeles:20250311T160000 DTSTAMP:20260403T143617 CREATED:20250214T211215Z LAST-MODIFIED:20250303T222536Z UID:3703-1741705200-1741708800@colleges.claremont.edu SUMMARY:Claremont Topology Seminar: Iris Yoon (Wesleyan University) DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Iris Yoon (Wesleyan University) \nTitle: Dowker duality\, profunctors\, and spectral sequences \nAbstract: I will present three short\, new proofs of Dowker duality using various poset fiber lemmas. I will introduce modifications of joins and products of simplicial complexes called relational join and relational product complexes. These relational complexes can be constructed whenever there is a relation between simplicial complexes\, which includes the context of Dowker duality and covers of simplicial complexes. In this more general setting\, I will show that the homologies of the simplicial complexes and the relational complexes fit together in a long exact sequence. If time permits\, I’ll discuss similar results for profunctors\, which are generalizations of relations to categories. URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-iris-yoon-wesleyan-university/ LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States CATEGORIES:Topology Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250312T161500 DTEND;TZID=America/Los_Angeles:20250312T173000 DTSTAMP:20260403T143617 CREATED:20250125T043428Z LAST-MODIFIED:20250303T183823Z UID:3646-1741796100-1741800600@colleges.claremont.edu SUMMARY:CCMS Colloquium: (Iris Yoon\, Wesleyan University) DESCRIPTION:Speaker: Iris Yoon\, Professor of Mathematics\, Wesleyan University \nTitle: How Topology Reveals Structure in Neuroscience Data \nAbstract: We live in an exciting time where new data is generated at an exponential rate. Such data explosion necessitates the development of novel methods for studying large\, noisy\, and complex data. One interesting aspect of data is its shape and structure. In this talk\, I will discuss recent developments in applied topology that studies the structure of data. In particular\, I will show how constructions in topology\, such as homology and Dowker complexes\, reveal interesting structures in data. I will discuss the mathematical challenges of extending these constructions to data science\, specifically in neuroscience. \nBio: Iris Yoon is an assistant professor of mathematics at Wesleyan University. She develops novel applications of algebraic topology to data science. \n  URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-iris-yoon-wesleyan-university/ LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Colloquium ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu GEO:34.0999157;-117.7142668 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250318T080000 DTEND;TZID=America/Los_Angeles:20250318T170000 DTSTAMP:20260403T143617 CREATED:20250214T211316Z LAST-MODIFIED:20250214T211316Z UID:3704-1742284800-1742317200@colleges.claremont.edu SUMMARY:Claremont Topology Seminar: NO SEMINAR DESCRIPTION:No seminar this week due to Spring break! URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-no-seminar/ CATEGORIES:Topology Seminar END:VEVENT BEGIN:VEVENT DTSTART;VALUE=DATE:20250319 DTEND;VALUE=DATE:20250320 DTSTAMP:20260403T143617 CREATED:20250131T234805Z LAST-MODIFIED:20250131T234805Z UID:3675-1742342400-1742428799@colleges.claremont.edu SUMMARY:No Colloquium: Spring Break DESCRIPTION: URL:https://colleges.claremont.edu/ccms/event/no-colloquium-spring-break/ CATEGORIES:Colloquium END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250324T161500 DTEND;TZID=America/Los_Angeles:20250324T171500 DTSTAMP:20260403T143617 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:20250325T121500 DTEND;TZID=America/Los_Angeles:20250325T131000 DTSTAMP:20260403T143617 CREATED:20250127T201036Z LAST-MODIFIED:20250324T151237Z UID:3659-1742904900-1742908200@colleges.claremont.edu SUMMARY:Some Diophantine analogies between Dirichlet series and polynomials (Vesselin Dimitrov\, Caltech) DESCRIPTION:I will present an integral — requiring no character twists — converse theorem for recognizing when is a Dirichlet series with algebraic integer coefficients equal to the L-function of a modular form. This refines the unbounded denominators conjecture of Atkin and Swinnerton-Dyer. Analogies with basic function field arithmetic then suggest a quantitative refinement which precludes a pair of GL(2) automorphic L-functions with closely matched up zeros. I will explain how to get at such a theorem.  URL:https://colleges.claremont.edu/ccms/event/antc-talk-vesselin-dimitrov-caltech/ LOCATION:Estella 2113 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250325T150000 DTEND;TZID=America/Los_Angeles:20250325T160000 DTSTAMP:20260403T143617 CREATED:20250214T211453Z LAST-MODIFIED:20250324T000533Z UID:3705-1742914800-1742918400@colleges.claremont.edu SUMMARY:Claremont Topology Seminar: Reginald Anderson (Claremont McKenna College) DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Reginald Anderson (Claremont McKenna College) \nTitle: Kontsevich’s Recursive Formula for Rational Plane Curves \nAbstract: Gromov-Witten theory was developed in the 1990s as a curve-counting theory by integrating cohomology classes against a virtual fundamental class for a moduli space of stable maps. One early success of the theory was Kontsevich’s recursive formula for enumerating the number of rational plane curves through 3d-1 points in general position. Starting from a consideration of which genus 0 Gromov-Witten invariants for the complex projective plane can possibly be non-zero\, we will assemble a generating function for these invariants\, called the genus 0 Gromov-Witten potential for the complex projective plane. If time allows\, we will also use the fact that the potential satisfies a partial differential equation called the Witten-Dijkgraaf-Verlinde-Verlinde equation to solve for N_d\, the coefficients of the generating function\, which give the number of rational plane curves through 3d-1 points. \nThis talk follows p. 24-26 of these notes\, available at https://arxiv.org/abs/2501.03232. \nAll are welcome. URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-reginald-anderson-claremont-mckenna-college/ LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States CATEGORIES:Topology Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250326T161500 DTEND;TZID=America/Los_Angeles:20250326T173000 DTSTAMP:20260403T143617 CREATED:20250201T220938Z LAST-MODIFIED:20250326T201510Z UID:3681-1743005700-1743010200@colleges.claremont.edu SUMMARY:CCMS Colloquium: Brownian Motion\, Random Fractals\, and Beyond (Yimin Xiao\, Michigan State Uni) DESCRIPTION:Speaker: Yimin Xiao\, Professor of Statistics and Probability\, Michigan State University \nTitle: Brownian Motion\, Random Fractals\, and Beyond \nAbstract: Brownian motion is not only a fascinating object in mathematics but also a powerful stochastic model that has been applied in many scientific fields\, from physics to finance\, to biological sciences. The sample function of Brownian motion is nowhere differentiable and generates various interesting fractal sets and measures. It is natural to apply tools from Fractal Geometry (e.g. Hausdorf dimension\, packing dimension) to study the fine properties of Brownian motion. There is an enormous literature on sample path properties of Brownian motion\, including many fractal and multifractal properties.\nIn this talk\, we first provide an overview of some regularity and fractal properties of Brownian motion and its local times. These results are fundamental for the development of related theories for other stochastic processes. We then describe extensions of these results to Levy stable processes and fractional Brownian motion\, which are two important relatives of Brownian motion in the areas of Markov processes and Gaussian processes\, respectively. \nBio: Yimin Xiao is an MSU Research Foundation Professor in Statistics and Probability at Michigan State University. He received his Ph.D. from the Ohio State University in 1996. After completing his postdocs at the University of Utah and Microsoft Research\, he joined Michigan State University in 2000. His research interests include random fields\, Gaussian and Lévy processes\, stochastic partial differential equations\, extreme value theory\, random fractals\, and statistical analysis of spatial and spatio-temporal models. He has published about 160 articles in peer-reviewed journals. \nDr. Xiao has been a visiting professor at several universities in China\, France\, Germany\, Hong Kong\, Sweden\, and Switzerland and has been invited as a speaker at various international conferences. He is a Fellow of the Institute of Mathematical Statistics. \n  URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-brownian-motion-random-fractals-and-beyond-yimin-xiao-michigan-state-uni/ LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Colloquium ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu GEO:34.0999157;-117.7142668 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20250401T121500 DTEND;TZID=America/Los_Angeles:20250401T131000 DTSTAMP:20260403T143617 CREATED:20250206T191602Z LAST-MODIFIED:20250326T164610Z UID:3688-1743509700-1743513000@colleges.claremont.edu SUMMARY:Permutation pattern avoidance\, alternating sign matrices\, and asymptotics (Justin Troyka\, Cal State LA) DESCRIPTION:A big area in combinatorics over the last several decades has been the study of pattern-avoiding permutations\, whose enumeration is exciting and mysterious. Alternating sign matrices (ASMs) are a generalization of permutations whose study in combinatorics has also been exciting and mysterious. In this talk\, I will explain some new asymptotic results involving the number of ASMs that avoid a given permutation pattern\, from my joint work with Mathilde Bouvel\, Eric Egge\, Rebecca Smith\, and Jessica Striker. I will also show some of the highlights in the histories of both pattern-avoiding permutations and ASMs. URL:https://colleges.claremont.edu/ccms/event/antc-talk-justin-troyka-cal-state-la/ LOCATION:Estella 2113 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar END:VEVENT END:VCALENDAR