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X-WR-CALNAME:Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20240219T161500
DTEND;TZID=America/Los_Angeles:20240219T171500
DTSTAMP:20260403T103520
CREATED:20240220T215909Z
LAST-MODIFIED:20240220T215909Z
UID:3392-1708359300-1708362900@colleges.claremont.edu
SUMMARY:Cristian Lopez Morales (UNAL)
DESCRIPTION:Join us for the first talk in the joint seminar with CCMS Applied Math and the Universidad Nacional de Colombia \nTitle \nSerre Conjecture. Geometric interpretation of the Quillen-Suslin Theorem. \nAbstract: \nThe Quillen-Suslin theorem asserts that over the polynomial ring with coefficients in a field K[x_1\,…\,x_n]\, every projective module is free. Despite the algebraic nature of the objects involved in this theorem and its proof\, this is a problem motivated by geometry. \n\nOriginally\, this problem was proposed by the French mathematician Jean-Pierre Serre as one of his famous conjectures. In this talk\, we will discuss the original formulation of Serre’s conjecture (the Quillen-Suslin theorem)\, along with the necessary concepts to translate the geometric statement into the algebraic one.
URL:https://colleges.claremont.edu/ccms/event/cristian-lopez-morales-unal/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240220T121500
DTEND;TZID=America/Los_Angeles:20240220T131000
DTSTAMP:20260403T103520
CREATED:20231127T045722Z
LAST-MODIFIED:20240219T164238Z
UID:3328-1708431300-1708434600@colleges.claremont.edu
SUMMARY:Point-counting and topology of algebraic varieties (Siddarth Kannan\, UCLA)
DESCRIPTION:A projective algebraic variety X is the zero locus of a collection of homogeneous polynomials\, in projective space. When the polynomials have integer coefficients\, we can think of the k-valued points X(k) of the variety\, for any field k. Now suppose we have two different fields k and k’. How does the behavior of X(k) inform the behavior of X(k’)? It turns out that this is a rich line of inquiry. I will present a particularly pleasing example which relates the topology of the complex-valued points of X with the number of points it has over finite fields.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-siddarth-kannan-ucla/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240220T150000
DTEND;TZID=America/Los_Angeles:20240220T160000
DTSTAMP:20260403T103520
CREATED:20240128T225522Z
LAST-MODIFIED:20240210T020345Z
UID:3356-1708441200-1708444800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Puttipong Pongtanapaisan (Arizona State university)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Puttipong Pongtanapaisan (Arizona State University) \nTitle: Building Knotted Objects Efficiently \nAbstract: Knotted objects can be constructed by gluing together standard pieces called handles. Understanding the minimum number of handles required for construction and their sequential attachment provides valuable insights into the complexity of entanglement. Certain knots require specific types of handles to be attached first\, preventing them from fitting into small lattice tubes. This is particularly relevant as polymers in confinement are modeled as knots within lattice tubes. In this talk\, I will discuss methods for studying these handles and their attachment order using coloring games applied to link diagrams.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-puttipong-pongtanapaisan-arizona-state-university/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240221T161500
DTEND;TZID=America/Los_Angeles:20240221T173000
DTSTAMP:20260403T103520
CREATED:20240202T200558Z
LAST-MODIFIED:20240202T200558Z
UID:3374-1708532100-1708536600@colleges.claremont.edu
SUMMARY:Evolution of an Intriguing Recreational Math Problem (Shawn McMurran\, California State University San Bernardino)
DESCRIPTION:Title: Evolution of an Intriguing Recreational Math Problem \nSpeaker: Shawn McMurran\, California State University San Bernardino \nAbstract: Besides being popular and entertaining\, recreational mathematics problems are often of historical interest. In this presentation we will highlight the origin and evolution of one such simply stated yet deep problem. The problem emerged during the eighteenth century tucked into a primarily standard arithmetic text. Over the next two centuries\, several notable names contributed to a growing collection of extensions\, generalizations\, and solution strategies. In more recent years\, relatives of this versatile problem have remained ubiquitous. It is likely that most audience members are familiar with at least one of its incarnations. During our journey\, opportunities will be provided for the audience to engage with the problem and some of its variations. \n\n\n\n\n\nShawn McMurran is a professor of mathematics at California State University San Bernardino. She earned her PhD in mathematics from UC Riverside with a background in PDEs. Current areas of interest include mathematics education and history of mathematics. She and her colleague Jim Tattersall have enjoyed many years of collaboration on math history projects\, including the subject of this presentation.
URL:https://colleges.claremont.edu/ccms/event/evolution-of-an-intriguing-recreational-math-problem-shawn-mcmurran-california-state-university-san-bernardino/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;VALUE=DATE:20240224
DTEND;VALUE=DATE:20240225
DTSTAMP:20260403T103520
CREATED:20240124T181450Z
LAST-MODIFIED:20240124T181543Z
UID:3348-1708732800-1708819199@colleges.claremont.edu
SUMMARY:14th WiMSoCal Symposium at Pomona
DESCRIPTION:The 14th Symposium for Women and Gender Minorities in Mathematics in Southern California \nWiMSoCal returns to SoCal after a four-year-hiatus due to pandemic. \nThe symposium will provide an opportunity for women and gender-nonconforming individuals in mathematics in the Southern California area to get to know each other on a personal as well as professional level.  \nOur aim is to create a network of mathematicians in the Southern California area in order to nurture collaborations and provide a framework for mentoring. These relationships can facilitate mathematicians branching into new areas of mathematics\, exploring the variety of ways of contributing mathematically to society and the profession\, and maintaining a healthy\, balanced life. \nAttendees of this symposium will: \n\nLearn about the research of women and gender-nonconforming mathematicians in Southern California \nPresent your work in a supportive environment \nNetwork with other Southern California mathematicians (students\, faculty\, and industry professionals)\nExplore issues surrounding being a woman and gender minority in mathematics \n\nAll are welcome to register and attend: \nhttps://sites.google.com/view/wimsocal2024 \nThis event is made possible partly by Pitzer’s generous Agnes Moreland Jackson Diversity Program Fund.
URL:https://colleges.claremont.edu/ccms/event/14th-wimsocal-symposium-at-pomona/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Special Event
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240226T161500
DTEND;TZID=America/Los_Angeles:20240226T171500
DTSTAMP:20260403T103520
CREATED:20240220T215244Z
LAST-MODIFIED:20240220T224116Z
UID:3391-1708964100-1708967700@colleges.claremont.edu
SUMMARY:Javier Gonzalez Anaya (Harvey Mudd College)
DESCRIPTION:This is the continuation of the semester’s joint seminar with the Universidad Nacional de Colombia-Manizales. \nTitle: Enumerating linearity regions of max-pooling layers in convolutional neural networks \nAbstract: Convolutional neural networks (CNN’s) are central tools in the application of machine learning to text\, audio and image processing. Their success stems from the ability of these networks to identify key features in complex datasets at a relatively low computational cost. Max-pooling layers (MPL’s) are key components of CNN’s that reduce the number of parameters used by the network while making it more robust to small changes in the input data. From a mathematical point of view\, MPLs are piecewise-linear functions\, and their number of linearity regions can be interpreted as a measure of complexity of the layer. In this talk I will explain how we can use combinatorial techniques to count these linearity regions\, and survey our current results in the area.
URL:https://colleges.claremont.edu/ccms/event/javier-gonzalez-anaya-harvey-mudd-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240227T121500
DTEND;TZID=America/Los_Angeles:20240227T131000
DTSTAMP:20260403T103520
CREATED:20240126T230120Z
LAST-MODIFIED:20240221T014138Z
UID:3354-1709036100-1709039400@colleges.claremont.edu
SUMMARY:The restricted variable Kakeya problem (Pete Clark\, University of Georgia)
DESCRIPTION:For a finite field F_q\, a subset of F_q^N is a Kakeya set if it contains a line in every direction (i.e.\, a coset of every one-dimensional linear subspace).  The finite field Kakeya problem is to determine the minimal size K(N\,q) of a Kakeya set in F_q^N.  This problem was posed by Wolff in 1999 as an analogue to the Kakeya problem in Euclidean N-space\, which was (and still is) one of the major open problems in harmonic analysis.  It caused quite a stir in 2008 when Zeev Dvir showed that for each fixed N\, as q -> oo\, K(N\,q) is bounded below by a constant times q^N: the Euclidean analogue of this result is not only proved but known to be false.\n\nBut what about the constant?  In 2009 Dvir-Kopparty-Saraf-Sudan gave a lower bound on K(N\,q) that was within a factor of 2 of an upper bound due to Dvir-Thas.  (I will briefly mention recent work of Bukh-Chao giving a decisive further improvement\, but that is not the focus of the talk.) The key to this improved lower bound is a multiplicity enhancement of a 1922 result of Ore. In this talk I want to give my own exposition of this work together with a mild generalization: if X is a subset of F_q^N \ {0}\, then an X-Kakeya set is a subset that contains a translate of the line generated by x for all x in X.  Putting K_X(N\,q) to be the minimal size of an X-Kakeya set in F_q^N\, I will give a lower bound on K_X(N\,q) that recovers the DKSS bound when X = F_q^N \ {0}.  This is similar in spirit to  “statistical Kakeya” results of Dvir and DKSS but not overlapping much; in fact\, I will give a statistical generalization of my result as well.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-pete-clark-university-of-georgia/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240227T150000
DTEND;TZID=America/Los_Angeles:20240227T160000
DTSTAMP:20260403T103520
CREATED:20240128T225822Z
LAST-MODIFIED:20240224T002645Z
UID:3361-1709046000-1709049600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: No Seminar
DESCRIPTION:No Seminar
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-orsola-capovilla-searle-uc-davis/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240228T161500
DTEND;TZID=America/Los_Angeles:20240228T173000
DTSTAMP:20260403T103520
CREATED:20240222T005317Z
LAST-MODIFIED:20240222T005317Z
UID:3395-1709136900-1709141400@colleges.claremont.edu
SUMMARY:A Group-Theoretic Ax-Katz Theorem (Pete L. Clark\, University of Georgia)
DESCRIPTION:Title: A Group-Theoretic Ax-Katz Theorem \nSpeaker: Pete L. Clark\, University of Georgia \nAbstract: The Chevalley-Warning Theorem is a result from 1935 asserting that the number of solutions to a low degree polynomial system over a finite field is divisible by the characteristic of the field.  It is an important result — it includes a conjecture of Artin and Dickson from the 1920’s — but it is not difficult to prove: the original proof is about three pages.  In 1964 James Ax gave a completely elementary ten line proof.   In the same paper\, Ax showed that as the number and degrees of the polynomials are held fixed and the number of variables increases\, not only is the size of the solution set divisible by p but by higher and higher powers of p.  The best possible p-adic divisibility here was given in 1971 by Nicholas Katz.  Katz’s proof is at a much higher level: you need specialist knowledge in the right subfields of number theory to understand it.  Simpler proofs were found later\, but none fulfills the fantasy of generalizing Ax’s ten line proof of Chevalley-Warning. \nA 2021 work of Aichinger-Moosbauer develops a fully fledged calculus of finite differences for maps between commutative groups and uses it to give a purely group-theoretic generalization of Chevalley-Warning. Nicholas Triantafillou and I have used and extended this work: up to a few black boxes (where most of the content is indeed hidden) we give a ten line proof of a group-theoretic analogue of Ax-Katz that “qualitatively fulfills my fantasy.”\n\n\n\n\n\nIn (North)west Philadelphia was Pete L. Clark born and raised.  He received undergraduate and masters degrees from the University of Chicago and a PhD from Harvard University.  He has worked in the Mathematics Department at the University of Georgia since 2006\, where he was the Graduate Coordinator from 2016-2019 and where he is now the Principal Honors Advisor.  When time permits he is an avid reader\, and his favorite authors include Ralph Ellison\, Jonathan Franzen\, Kazuo Ishiguro\, Carmen Maria Machado and Lorrie Moore.
URL:https://colleges.claremont.edu/ccms/event/a-group-theoretic-ax-katz-theorem-pete-l-clark-university-of-georgia/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240302T100000
DTEND;TZID=America/Los_Angeles:20240302T120000
DTSTAMP:20260403T103520
CREATED:20240218T044742Z
LAST-MODIFIED:20240218T044742Z
UID:3385-1709373600-1709380800@colleges.claremont.edu
SUMMARY:GEMS March 2nd Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-march-2nd-session/
LOCATION:Harvey Mudd College at the Shanahan Teaching and Learning Center\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240304T161500
DTEND;TZID=America/Los_Angeles:20240304T171500
DTSTAMP:20260403T103520
CREATED:20240228T002704Z
LAST-MODIFIED:20240228T002704Z
UID:3399-1709568900-1709572500@colleges.claremont.edu
SUMMARY:Gabe Chandler (Pomona College)
DESCRIPTION:Title: Graphical Anomaly Detection for High Dimensional and Object Data \nAbstract: Anomaly detection is an important task in data analysis\, though an agreed upon definition of what constitutes an outlier does not exist.  Accordingly\, a graphical tool that can highlight interesting observations in a data set that the scientist can then investigate with domain specific knowledge would be of value.  The depth quantile function (DQF)\, a recently introduced feature map that takes data of arbitrary dimension to a function of a single variable while encoding certain geometric information\, will provide such a tool.  After introducing the DQF\, we will discuss adaptations that make it particularly suited to the problem of anomaly detection\, particularly the case where the non-anomalous data is living on a lower dimensional manifold in the data space.  The DQF is also kernelizable\, allowing applications to non-Euclidean data\, as will be demonstrated via several examples.
URL:https://colleges.claremont.edu/ccms/event/gabe-chandler-pomona-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240305T121500
DTEND;TZID=America/Los_Angeles:20240305T131000
DTSTAMP:20260403T103520
CREATED:20240206T040319Z
LAST-MODIFIED:20240206T040319Z
UID:3376-1709640900-1709644200@colleges.claremont.edu
SUMMARY:Homological mirror symmetry\, curve counting\, and a classical example: 27 lines on a nonsingular cubic surface (Reggie Anderson\, CMC)
DESCRIPTION:Though mirror symmetry requires much technical background\, it gained traction in the mathematical community when physicists Candelas-de la Ossa-Green-Parkes discovered enumerative invariants counting the number of rational degree d curves inside of certain space called a “quintic threefold.” This answered longstanding problems in enumerative geometry from antiquity. In particular\, the number of rational degree d=1 curves inside of the space counts the number of lines. We will review a simpler\, classical example: any nonsingular cubic surface contains exactly 27 lines.
URL:https://colleges.claremont.edu/ccms/event/homological-mirror-symmetry-curve-counting-and-a-classical-example-27-lines-on-a-nonsingular-cubic-surface-reggie-anderson-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240305T150000
DTEND;TZID=America/Los_Angeles:20240305T160000
DTSTAMP:20260403T103520
CREATED:20240128T230049Z
LAST-MODIFIED:20240228T181227Z
UID:3363-1709650800-1709654400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Adam Yassine (Pomona College)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Adam Yassine (Pomona College) \nTitle: A Structural Approach to Classical Mechanics \nAbstract: A structural approach to the study of classical mechanics clarifies the physical heuristics that physicists use in constructing mathematical models of classical mechanical systems. The focus of our current program is to develop a category theoretic framework that captures certain compositional features of classical mechanics. The framework is both flexible enough to support the description of a wide variety of systems and rigid enough to uniquely determine the physicists’ models.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-adam-yassine-pomona-college/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240306T161500
DTEND;TZID=America/Los_Angeles:20240306T173000
DTSTAMP:20260403T103520
CREATED:20240225T235722Z
LAST-MODIFIED:20240225T235722Z
UID:3398-1709741700-1709746200@colleges.claremont.edu
SUMMARY:Teaching Equity-minded Active Mathematics: A model for Instructional Change (Amelia Stone-Johnstone\, CSU Fullerton)
DESCRIPTION:Title: Teaching Equity-minded Active Mathematics: A model for Instructional Change \nSpeaker: ​Amelia Stone-Johnstone\, Department of Mathematics\, California State University\, Fullerton \nAbstract: Active learning has been championed as a mechanism for greater student learning and participation in STEM. However\, recent studies have demonstrated how active learning without an explicit equity focus may harm students from historically marginalized communities in STEM. In this talk\, I will introduce a model for professional development that attends both to equity and active learning. In addition\, I will introduce the Teaching Equity-minded and Active Mathematics (TEAM) Tool\, a tool for pedagogical reflection that was developed by a team of undergraduate students at California State University\, Fullerton. This research-backed tool was constructed as a way to support faculty in creating a learning atmosphere in which students can explore\, discuss\, and learn mathematics in the classroom in a safe\, just\, active\, and equitable manner. \n\n\n\n\n\nAmelia Stone-Johnstone is an Assistant Professor in the Mathematics Department at California State University\, Fullerton. Her research involves the development and assessment of academic support systems in introductory mathematics courses. In addition\, Dr. Stone-Johnstone’s research and service include faculty professional development on equity-minded instruction.
URL:https://colleges.claremont.edu/ccms/event/teaching-equity-minded-active-mathematics-a-model-for-instructional-change-amelia-stone-johnstone-csu-fullerton/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240318T161500
DTEND;TZID=America/Los_Angeles:20240318T171500
DTSTAMP:20260403T103520
CREATED:20240313T230255Z
LAST-MODIFIED:20240330T174651Z
UID:3405-1710778500-1710782100@colleges.claremont.edu
SUMMARY:Sigifredo Herron (UNAL)
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/fernando-a-gallego-unal/
LOCATION:This event is virtual.  Zoom link:  https://pomonacollege.zoom.us/my/radzoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240319T121500
DTEND;TZID=America/Los_Angeles:20240319T131000
DTSTAMP:20260403T103520
CREATED:20231025T032921Z
LAST-MODIFIED:20240206T000905Z
UID:3302-1710850500-1710853800@colleges.claremont.edu
SUMMARY:Almost-prime times in horospherical flows (Taylor McAdam\, Pomona)
DESCRIPTION:There is a rich connection between homogeneous dynamics and number theory.  Often in such applications it is desirable for dynamical results to be effective (i.e. the rates of convergence for dynamical phenomena are known).  In the first part of this talk\, I will provide the necessary background and relevant history to state an effective equidistribution result for horospherical flows on the space of unimodular lattices in R^n.  I will then describe an application to studying the distribution of almost-prime times (integer times having fewer than a fixed number of prime factors) in horospherical orbits and discuss connections of this work to Sarnak’s Mobius disjointness conjecture.  In the second part of the talk I will describe some of the ingredients and key steps that go into proving these results. If time allows\, I will conclude by discussing recent results and ongoing work with M. Luethi that strengthens and generalizes this work.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-taylor-mcadam-pomona/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240319T150000
DTEND;TZID=America/Los_Angeles:20240319T160000
DTSTAMP:20260403T103520
CREATED:20240128T230304Z
LAST-MODIFIED:20240318T165014Z
UID:3364-1710860400-1710864000@colleges.claremont.edu
SUMMARY:*Cancelled* Claremont Topology Seminar: Iris Yoon (Wesleyan College)
DESCRIPTION:This talk has been cancelled. \nWe welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Iris Yoon (Wesleyan College) \nTitle: A generalized Dowker complex for multi-way Relations \nAbstract: Given a relation between two sets X and Y\, one can construct two simplicial complexes\, one having X as its vertex set and the other having Y as its vertex set. These two simplicial complexes (both called Dowker complexes)\, have initially been shown to have isomorphic homology groups (Dowker\, 1952) and were later shown to be homotopy equivalent (Bjorner\, 1988). I will present a generalization of the Dowker complex to multi-way relations. The construction is inspired by a new proof of Dowker homotopy equivalence (Brun & Salbu 2023) that embodies Quillen’s Theorem A. I will present different perspectives for understanding the generalized Dowker complex\, including as global sections of a cellular cosheaf and as the homotopy colimit of some underlying diagram. This is joint work with many collaborators (Vaupel\, Schonsheck\, de Silva\, Giusti\, Sazdanovic\, among others)\, and all results are preliminary.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-iris-yoon-wesleyan-college/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240325T161500
DTEND;TZID=America/Los_Angeles:20240325T171500
DTSTAMP:20260403T103520
CREATED:20240330T173049Z
LAST-MODIFIED:20240330T173059Z
UID:3427-1711383300-1711386900@colleges.claremont.edu
SUMMARY:Ami Radunskaya (Pomona College)
DESCRIPTION:Title:  Can a function tell us how immune cells kill? \nSpeaker: Prof. Ami Radunskaya (Pomona College\, Claremont CA) \nAbstract: The immune system is able to fight cancer by mustering and training an army of effector “killer” cells.  Mathematical models of tumor-immune interactions must describe the proliferation\, recruiting and killing rates of immune cells.  Earlier work surprisingly showed that the functions describing the kill rates distinguish between two types of immune cells.  The mechanisms behind these differences have been a mystery\, however.  In an attempt to unravel this mystery\, we have created a cell-based fixed-lattice model that simulates immune cell and tumor cell interaction involving tumor recognition and two killing mechanisms.  These mechanisms play a big role in the effectiveness of many cancer immunotherapies. Results from model simulations\, along with theories developed by ecologists\, can help to illuminate which mechanisms are at work in different conditions.
URL:https://colleges.claremont.edu/ccms/event/ami-radunskaya-pomona-collegeo/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240326T121500
DTEND;TZID=America/Los_Angeles:20240326T131000
DTSTAMP:20260403T103520
CREATED:20231215T050545Z
LAST-MODIFIED:20240312T172417Z
UID:3331-1711455300-1711458600@colleges.claremont.edu
SUMMARY:Sublattices and subrings of Z^n and random finite abelian groups (Nathan Kaplan\, UC Irvine)
DESCRIPTION:How many sublattices of Zn have index at most X?  If we choose such a lattice L at random\, what is the probability that Zn/L is cyclic?  What is the probability that its order is odd?  Now let R be a random subring of Zn.  What is the probability that Zn/R is cyclic?  We will see how these questions fit into the study of random groups in number theory and combinatorics.  We will discuss connections to Cohen-Lenstra heuristics for class groups of number fields\, sandpile groups of random graphs\, and cokernels of random matrices over the integers.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-nathan-kaplan-uc-irvine/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240326T150000
DTEND;TZID=America/Los_Angeles:20240326T160000
DTSTAMP:20260403T103520
CREATED:20240128T230426Z
LAST-MODIFIED:20240308T230839Z
UID:3365-1711465200-1711468800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Qing Zhang (UC Santa Barbara)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Qing Zhang (UC Santa Barbara) \nTitle: Super-modular categories from near-group centers\n\nAbstract: A super-modular category is a unitary pre-modular category with Müger center equivalent to the symmetric unitary category of super-vector spaces. The modular data for a super-modular category gives a projective representation of the group:  $\Gamma_\theta<\mathrm{SL}(2\, \mathbb{Z})$. Adapting work of Ng-Rowell-Wang-Wen\, Cho- Kim-Seo-You computed modular data from congruence representations of $\Gamma_\theta $ using the congruence subgroup theorem for super-modular categories of  Bonderson-Rowell-Wang-Z and the minimal modular extension theorem of  Reutter-Johnson-Freyd. They found two classes of previously unknown modular data for rank 10 super-modular categories. We show that these data are realized by modifying the Drinfeld centers of near-group fusion categories associated with the groups $\Z/6$ and $\Z/2\times \Z/4$. The methods we develop have more general applications\, and we describe some of them. This talk is based on joint work with Eric Rowell and Hannah Solomon.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-qing-zhang-uc-santa-barbara/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240327T161500
DTEND;TZID=America/Los_Angeles:20240327T173000
DTSTAMP:20260403T103520
CREATED:20240326T203434Z
LAST-MODIFIED:20240326T203434Z
UID:3418-1711556100-1711560600@colleges.claremont.edu
SUMMARY:A Survey of Diophantine Equations (Edray Goins\, Pomona College)
DESCRIPTION:Title: A Survey of Diophantine Equations \nSpeaker: ​Edray Herber Goins\, Professor of Mathematics and Statistics\, Pomona College \nAbstract: There are many beautiful identities involving positive integers. For example\, Pythagoras knew $3^2 + 4^2 = 5^2$ while Plato knew $3^3 + 4^3 + 5^3 = 6^3$. Euler discovered $59^4 + 158^4 = 133^4 + 134^4$\, and even a famous story involving G.~H.~Hardy and Srinivasa Ramanujan involves $1^3 + 12^3 = 9^3 + 10^3$. But how does one find such identities?  Around the third century\, the Greek mathematician Diophantus of Alexandria introduced a systematic study of integer solutions to polynomial equations. In this talk\, we’ll focus on various types of so-called Diophantine Equations\, discussing such topics as Pythagorean Triples\, Pell’s Equations\, Elliptic Curves\, and Fermat’s Last Theorem. \n\n\n\n\nEdray Herber Goins is Professor of Mathematics and Statistics at Pomona College. He has worked as a researcher at both Harvard and the National Security Agency; and has taught at both Caltech and Purdue. Professor Goins has published over 25 journal articles in areas such as applied mathematics\, graph theory\, number theory\, and representation theory; and on topics such as Diophantine equations\, elliptic curves\, and African Americans in mathematics. He has given nearly 300 invited addresses on his research\, acted as a referee for nearly 20 different journals in mathematics\, served on dozens of panels for the National Science Foundation (NSF)\, and been awarded more than $1\,370\,000 in external funding.  Goins currently maintains the website “Mathematicians of the African Diaspora (MAD Pages)”\, and runs a federally-funded Research Experience for Undergraduates (REU) titled Pomona Research in Mathematics Experience (PRiME).
URL:https://colleges.claremont.edu/ccms/event/a-survey-of-diophantine-equations-edray-goins-pomona-college/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240328T163000
DTEND;TZID=America/Los_Angeles:20240328T173000
DTSTAMP:20260403T103520
CREATED:20240324T163045Z
LAST-MODIFIED:20240324T163045Z
UID:3413-1711643400-1711647000@colleges.claremont.edu
SUMMARY:Analysis seminar: Therese Basa Landry (UCSB)
DESCRIPTION:Title: Developments in Noncommutative Fractal Geometry\n\nAbstract:  As a noncommutative fractal geometer\, I look for new expressions of the geometry of a fractal through the lens of noncommutative geometry.  At the quantum scale\, the wave function of a particle\, but not its path in space\, can be studied.  Riemannian methods often rely on smooth paths to encode the geometry of a space.  Noncommutative geometry generalizes analysis on manifolds by replacing this requirement with operator algebraic data.  These same “point-free” techniques can also be used to study the geometry of classically pathological spaces like fractals.  The 2016 Nobel Prize in Physics was awarded for work on Hofstadter’s butterfly\, which is a fractal that describes for theoretical condensed matter physicists the allowed energy levels for electrons confined to a crystalline atomic lattice as a function of the magnetic field applied to the system.  By expanding the formalism of fractal geometry to include the mathematical language of quantum theory\, developments in noncommutative fractal geometry can give both mathematicians and physicists the tools to gain insights about quantum behaviors in solids and any new materials made possible by these phenomena.  Other directions in noncommutative fractal geometry will also be discussed.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-therese-basa-landry-ucsb/
LOCATION:Estella 2131\, Pomona College\, 610 N College Ave\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240401T161500
DTEND;TZID=America/Los_Angeles:20240401T171500
DTSTAMP:20260403T103520
CREATED:20240330T172834Z
LAST-MODIFIED:20240330T172834Z
UID:3426-1711988100-1711991700@colleges.claremont.edu
SUMMARY:Chiu-Yen Kao (Claremont McKenna College)
DESCRIPTION:Title: Geometric Optimization Involving Partial Differential Equations and Its Applications \nSpeaker: Professor Chiu-Yen Kao\, Claremont McKenna College\, Claremont\, CA USA \nAbstract: Optimal geometric design for energy functionals\, which depends on solutions to partial differential equations\, provides a vast number of interesting and challenging mathematical problems. One of the famous problems is that L. Rayleigh conjectured that the disk should minimize the fundamental frequency of vibration (the square root of the first Laplace-Dirichlet eigenvalue) among all shapes of equal area\, more than a century ago. In this talk\, we will share our recent findings related to geometric optimization for eigenvalue problems. Our approach involves the development of various computational methods to optimize Steklov eigenvalues and Laplace-Beltrami eigenvalues. Additionally\, we explore applications of these methods.
URL:https://colleges.claremont.edu/ccms/event/chiu-yen-kao-claremont-mckenna-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240402T121500
DTEND;TZID=America/Los_Angeles:20240402T131000
DTSTAMP:20260403T103520
CREATED:20231024T210058Z
LAST-MODIFIED:20240326T205224Z
UID:3301-1712060100-1712063400@colleges.claremont.edu
SUMMARY:Well-rounded lattices and security: what we (don't) know (Camilla Hollanti\, Aalto University\, Finland)
DESCRIPTION:I will give a brief introduction to well-rounded lattices and to their utility in wireless communications and post-quantum security. We will see how the lattice theta series naturally arises in these contexts and discuss its connections to well-rounded lattices. The talk is based on joint work with Laia Amoros\, Amaro Barreal\, Taoufiq Damir\, Oliver Gnilke\, David Karpuk\, Alex Karrila\, Niklas Miller\, and Ha Tran.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-camilla-hollanti-aalto-university-finland/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240402T150000
DTEND;TZID=America/Los_Angeles:20240402T160000
DTSTAMP:20260403T103520
CREATED:20240128T230545Z
LAST-MODIFIED:20240308T230729Z
UID:3366-1712070000-1712073600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Jim Hoste (Pitzer College)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Jim Hoste (Pitzer College) \nTitle: Variations on the Kauffman Bracket\n\nAbstract: Forty years ago\, Lou Kauffman formulated his “bracket” polynomial\, a function from link diagrams to Laurent polynomials in one variable. This elementary construction leads to a simple definition of the Jones Polynomial. The simplifying assumptions made by Kauffman in producing the bracket polynomial are not strictly necessary\, leading to the question: Can a more general invariant of links be obtained using variations of the Kauffman bracket? In this talk I will explore this question.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-jim-hoste-pitzer-college/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240403T161500
DTEND;TZID=America/Los_Angeles:20240403T173000
DTSTAMP:20260403T103520
CREATED:20240329T203409Z
LAST-MODIFIED:20240403T231510Z
UID:3424-1712160900-1712165400@colleges.claremont.edu
SUMMARY:CCMS Colloquium Presents the Fall 2024 Course Preview Session
DESCRIPTION:For the next CCMS Colloquium on April 3rd Wednesday\, we invite all \nMATH faculty\, and students intending to enroll in upper division math courses \nto attend the \nFall 2024 Course Preview Session \nof all the upper division math courses offered across the consortium in Fall 2024. \nFaculty\, \nWe strongly encourage you to attend so that students can interact with you\, as this will make the registration process much easier\, with less class switching in the Fall. \nStudents\, \nThis session is particularly important for you to get to know all the upper division course options in mathematics before registration and ask your questions to faculty in person! \nTo access the slides click HERE!
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-presents-the-fall-2024-course-fair/
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:20240404T163000
DTEND;TZID=America/Los_Angeles:20240404T173000
DTSTAMP:20260403T103520
CREATED:20240401T023637Z
LAST-MODIFIED:20240401T023637Z
UID:3430-1712248200-1712251800@colleges.claremont.edu
SUMMARY:Analysis seminar: Shanna Dobson (UCR)
DESCRIPTION:Title: The Chronicles of Fractal Geometry: Fractal Strings\, and Functorial Harps \nAbstract: In this talk\, we explore the colorful analytical world of fractal geometry. We introduce fractal strings in the sense of Lapidus\, both intuitively and by way of rigorous constructions. We examine rich illustrations of higher dimensional fractals and p-adic fractal strings. Then\, we use artistic dimensions to postule new mathematical definitions; namely\, universal properties of fairy tales. We propose a new categorical definition of fractal strings. We conclude with our conjectures on categorical p-adic fractal strings\, which I call functorial harps.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-shanna-dobson-ucr/
LOCATION:Estella 2131\, Pomona College\, 610 N College Ave\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240406T100000
DTEND;TZID=America/Los_Angeles:20240406T120000
DTSTAMP:20260403T103520
CREATED:20240218T044843Z
LAST-MODIFIED:20240218T044843Z
UID:3386-1712397600-1712404800@colleges.claremont.edu
SUMMARY:GEMS April 6th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-april-6th-session/
LOCATION:Harvey Mudd College at the Shanahan Teaching and Learning Center\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240408T161500
DTEND;TZID=America/Los_Angeles:20240408T173000
DTSTAMP:20260403T103520
CREATED:20240407T210116Z
LAST-MODIFIED:20240407T210252Z
UID:3434-1712592900-1712597400@colleges.claremont.edu
SUMMARY:Ying Wang (University of Oklahoma)
DESCRIPTION:Title: Numerical studies to the Chaplygin gas system and Pressureless Euler Equations \nSpeaker: Ying Wang \nUniversity of Oklahoma\, USA \nAbstract \nIn this talk\, we will discuss the numerical solutions to the Riemann problem for Chaplygin gas equation\, which is the Euler equations equipped with the state equation p = -1/\rho\, as well as the 2D zero-pressure Euler Equations. The spatial discretization is performed using WENO reconstruction together with a carefully defined limiter and time integration is achieved using TVD RK. The numerical results confirm high order of accuracy. This is a joint work with Ling Jin.
URL:https://colleges.claremont.edu/ccms/event/ying-wang-university-of-oklahoma/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240409T121500
DTEND;TZID=America/Los_Angeles:20240409T131000
DTSTAMP:20260403T103520
CREATED:20240328T182316Z
LAST-MODIFIED:20240330T202911Z
UID:3421-1712664900-1712668200@colleges.claremont.edu
SUMMARY:Building TOWARD Geometry: Truncated Octahedra work as Rhombic Dodecahedra (Peter Kagey\, HMC)
DESCRIPTION:In late March\, students\, staff\, and faculty were invited to help collaboratively build a large-scale geometric sculpture on the campus of Harvey Mudd College\, demonstrating a relationship between truncated octahedra and rhombic dodecahedra\, which are two examples of space-filling polyhedra. I’ll talk about the process of designing and building the sculpture\, some geometry and combinatorics underlying the construction\, and some discoveries we made along the way.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-peter-kagey-hmc-2/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
END:VCALENDAR