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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
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TZID:America/Los_Angeles
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250902T121500
DTEND;TZID=America/Los_Angeles:20250902T131000
DTSTAMP:20260504T114427
CREATED:20250814T025232Z
LAST-MODIFIED:20250819T024559Z
UID:3787-1756815300-1756818600@colleges.claremont.edu
SUMMARY:Categorification of biquandle arrow weight invariants via quivers (Migiwa Sakurai\, Shibaura Institute of Technology)
DESCRIPTION:Biquandle arrow weights invariants are enhancements of the biquandle counting invariant for oriented virtual and classical knots defined from biquandle-colored Gauss diagrams using a tensor over an abelian group satisfying certain properties. In this talk\, we categorify the biquandle arrow weight polynomial invariant using biquandle coloring quivers\, obtaining new infinite families of polynomial invariants of oriented virtual and classical knots.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-migiwa-sakurai-shibaura-institute-of-technology/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250908T161500
DTEND;TZID=America/Los_Angeles:20250908T171500
DTSTAMP:20260504T114427
CREATED:20250829T233038Z
LAST-MODIFIED:20250902T231307Z
UID:3810-1757348100-1757351700@colleges.claremont.edu
SUMMARY:The Shooting Method in the Analysis of Two-Point Boundary-Value Problems (Adolfo J. Rumbos\, Pomona College)
DESCRIPTION:Abstract: \nTwo-point boundary-value problems (BVPs) appear frequently in applied mathematics.  When looking for solutions of boundary-value problems for some partial differential equations (PDEs) in mathematical physics\, two-point BVPs come up as a result of applying the method of separation of variables\, for instance. In the case of linear PDEs\, the resulting two-point BVPs fall into a class of problems known as Sturm-Liouville eigenvalue problems. \nThis presentation deals with the use of the shooting method to prove existence of solutions of two-point BVPs.  The shooting method is a numerical technique used to estimate solutions of two-point BVPs once a solution is known to exist.  In this talk we illustrate how the shooting method can be used to prove existence of eigenvalues of linear Sturm-Liouville problems.  We also show how the shooting method can be applied to prove existence and uniqueness of solutions for some nonlinear\, two-point BVPs\, and existence of eigenvalues for some nonlinear eigenvalue problems. \nThe presentation describes research conducted with collaborators Vaidehi Srinivasan (Pomona College class of 2027) and Gavin Zhao (Pomona College class of 2029) in the summer of 2025 with the support of the Summer Undergraduate Research Program at Pomona College.
URL:https://colleges.claremont.edu/ccms/event/the-shooting-method-in-the-analysis-of-two-point-boundary-value-problems-adolfo-j-rumbos-pomona-college/
LOCATION:CA
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ryan Aschoff":MAILTO:ryan.aschoff@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250912T110000
DTEND;TZID=America/Los_Angeles:20250912T120000
DTSTAMP:20260504T114427
CREATED:20250903T160356Z
LAST-MODIFIED:20250909T001255Z
UID:3816-1757674800-1757678400@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Morse theory\, Floer homology\, and string topology (Ko Honda\, UCLA)
DESCRIPTION:CCMS Colloquium invites you to a talk by Professor Ko Honda\, Professor of Mathematics at UCLA. \nTitle: Morse theory\, Floer homology\, and string topology \nAbstract: One of the most important theories in geometry/topology is Floer homology\, which can be viewed as a Morse theory of a loop space of a manifold (a generalization of a surface to higher dimensions).  The aim of this talk is to give a gentle pictorial introduction to Morse theory for surfaces and then upgrade it in two steps: to Morse theory of loop spaces (e.g.\, of the 2-dimensional sphere) and then to “multiloops” (collections of many loops).  The last upgrade is intimately related to a mathematical model for string theory called “string topology”\, due to Chas-Sullivan\, and to quantum topology via the HOMFLY polynomial of knots/links. \nSpeaker Bio: Ko Honda is an entirely American-trained mathematician\, receiving his BA and MA from Harvard University in 1992 and PhD from Princeton University in 1997.  After postdocs/visiting positions at Duke\, the University of Georgia\, the American Institute of Mathematics\, and IHES\, he arrived in LA in 2001\, was a faculty member at USC for 12.5 years\, and then moved across town to UCLA\, where he has been for the last 11.5 years.  Sometime during his postdoc at Duke\, he discovered/invented an object called a “bypass” in contact geometry\, which allowed him to simplify the analysis of 3-dimensional contact manifolds and solve several open problems in that area\, some in joint work with Colin\, Etnyre\, and Giroux.  He has been working on contact and symplectic geometry ever since\, gradually branching out into adjacent areas (e.g.\, low-dimensional topology\, Floer theory\, and quantum topology) in the intervening years.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-presents-title-ko-honda/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250915T161500
DTEND;TZID=America/Los_Angeles:20250915T171500
DTSTAMP:20260504T114427
CREATED:20250829T233516Z
LAST-MODIFIED:20250922T153423Z
UID:3811-1757952900-1757956500@colleges.claremont.edu
SUMMARY:LA City Council Reform: A Statistical Study of Alternatives (Evan Rosenman & Sarah Cannon\, Claremont McKenna College)
DESCRIPTION:Abstract: \nThe 2022 Los Angeles City Council scandal intensified public demand for governance reform\, leading to the creation of the Los Angeles Charter Reform Commission. The commission is now considering proposals from civic and academic groups. Major recommendations include: eliminating the automatic election of candidates who win a primary majority\, expanding the size of the City Council\, and adopting alternative electoral systems such as multimember districts and ranked-choice voting. \nThis project offers a rigorous\, data-driven evaluation of these proposals\, focusing on their implications for proportionality\, racial representation\, and electoral responsiveness. We combine methods from Statistics and Computer Science\, including Bayesian ethnicity imputation\, ecological inference\, and advanced graph-sampling algorithms to explore district boundaries. This hybrid approach provides new insights into Los Angeles’s political geography and the challenges of building a fair\, representative City Council. By providing empirical evidence on the strengths and weaknesses of various districting systems\, our work aims to inform policymaking and advance democratic representation in Los Angeles.
URL:https://colleges.claremont.edu/ccms/event/la-city-council-reform-a-statistical-study-of-alternatives-evan-rosenman-claremont-mckenna-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ryan Aschoff":MAILTO:ryan.aschoff@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250916T121500
DTEND;TZID=America/Los_Angeles:20250916T131000
DTSTAMP:20260504T114427
CREATED:20250809T192948Z
LAST-MODIFIED:20250811T173854Z
UID:3780-1758024900-1758028200@colleges.claremont.edu
SUMMARY:A non-uniformly inner amenable group (Isaac Goldbring\, UC Irvine)
DESCRIPTION:An inner amenable group is one in which there is a finitely additive conjugation-invariant probability measure on the non-identity elements.  In this talk\, we show that inner amenability is not preserved under elementary equivalence.  As a result\, we give the first example of a group that is inner amenable but not uniformly inner amenable.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-isaac-goldbring-uc-irvine/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250919T110000
DTEND;TZID=America/Los_Angeles:20250919T120000
DTSTAMP:20260504T114427
CREATED:20250903T163230Z
LAST-MODIFIED:20250917T194549Z
UID:3817-1758279600-1758283200@colleges.claremont.edu
SUMMARY:NO CCMS Colloquium this Friday!
DESCRIPTION:We’ll be back next week!
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250923T121500
DTEND;TZID=America/Los_Angeles:20250923T131000
DTSTAMP:20260504T114427
CREATED:20250811T185820Z
LAST-MODIFIED:20250813T192625Z
UID:3783-1758629700-1758633000@colleges.claremont.edu
SUMMARY:Graphical designs: combinatorics and applications (Catherine Babecki\, Caltech)
DESCRIPTION:A graphical design is a quadrature rule for a graph inspired by classical numerical integration on the sphere. Broadly speaking\, that means a graphical design is a relatively small subset of graph vertices chosen to capture the global behavior of functions from the vertex set to the real numbers. We first motivate and define graphical designs for graphs with positive edge weights. Through Gale duality\, we exhibit a combinatorial bijection between graphical designs and the faces of certain polytopes associated to a graph\, called eigenpolytopes. This polytope connection implies a variety of beautiful consequences\, including a proof of existence\, an upper bound on the cardinality of a graphical design\, methods to compute\, optimize\, and organize graphical designs\, the existence of random walks with improved convergence rates\, and complexity results for associated computational problems.  We conclude with applications to the equitable facility location problem.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-catherine-babecki-caltech/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250925T160000
DTEND;TZID=America/Los_Angeles:20250925T170000
DTSTAMP:20260504T114427
CREATED:20250915T214113Z
LAST-MODIFIED:20250915T215619Z
UID:3836-1758816000-1758819600@colleges.claremont.edu
SUMMARY:Analysis seminar: Geometric classification problems with the Bergman metric (John Treuer\, UCSD)
DESCRIPTION:Title: Geometric classification problems with the Bergman metric \nAbstract: One of the common problems in mathematics is the classification problem: When are two mathematical structures really the same? The classification problem appears throughout undergraduate mathematics courses in different forms. For example\, in an abstract algebra course\, one asks when are two groups isomorphic? In a geometry course\, one asks when are two surfaces isometric? In a discrete math course\, one asks when are two sets bijective? The version in complex analysis is when are two domains (open\, connected sets) biholomorphic to each other? \nIn this talk\, we will begin by defining the primarily studied functions in complex analysis\, the complex differentiable functions also known as the holomorphic functions. We will then study the classification problem through the Bergman kernel and the Bergman metric. Towards the end of the talk\, recent progress on classifying domains and complex manifolds with Bergman metrics of constant holomorphic sectional curvature will be presented.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-john-treuer-ucsd/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250926T110000
DTEND;TZID=America/Los_Angeles:20250926T121500
DTSTAMP:20260504T114427
CREATED:20250917T194906Z
LAST-MODIFIED:20250922T185920Z
UID:3839-1758884400-1758888900@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Robert Cass (CMC)
DESCRIPTION:CCMS Colloquium invites you to a talk by Assistant Professor of Mathematics Robert Cass of Claremont McKenna College:\n\n \nTitle: An introduction to the Langlands program\n \nAbstract: Class field theory\, which was established in the early 20th century\, has its origins in Gauss’s law of quadratic reciprocity. As such\, it allows one to determine whether certain integer polynomials have a root mod p. The Langlands program is a vast area of current research in number theory that can be viewed as a generalization of class field theory to all integer polynomials. In this talk\, I will give a leisurely introduction to this circle of ideas by way of some concrete examples. I will conclude with my own work\, which includes a result on the independence of the cohomology theory chosen in a geometric and categorical analogue of the Langlands program.\n \nBrief Bio: Robert Cass joined the Mathematical Sciences Department at CMC as an Assistant Professor of Mathematics this fall. He received his B.S. from the University of Kentucky and his Ph.D. from Harvard University. After that\, he was an NSF postdoctoral fellow at Caltech and the University of Michigan. He is interested in the Langlands program and arithmetic geometry\, as well as related problems in algebraic geometry and representation theory. He enjoys mathematical questions that are simple to state but whose solutions involve tools from multiple disciplines\, especially those with unexpected connections to geometry.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-robert-cass-cmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250929T161500
DTEND;TZID=America/Los_Angeles:20250929T171500
DTSTAMP:20260504T114427
CREATED:20250922T153239Z
LAST-MODIFIED:20250922T153239Z
UID:3850-1759162500-1759166100@colleges.claremont.edu
SUMMARY:Bounds and Extremal Examples for the Hot Spots Ratio (Alex Hsu\, University of Washington)
DESCRIPTION:Abstract: The shape of the fluctuations as heat approaches equilibrium in an insulated body are governed by the first Neumann eigenfunction of the Laplacian. Rauch’s hot spots conjecture states that the extrema of the first nontrivial Neumann Laplacian eigenfunction for a Lipschitz domain lies on the boundary. While this conjecture is false in general\, its failure can be measured by the hot spots ratio\, defined as the maximum over the entire domain divided by the maximum on the boundary. We determine the supremum of this quantity over all Lipschitz domains in every dimension $d$ and construct a sequence of sets for which the hot spots ratio approach this supremum. As $d\to \infty$\, this maximal ratio converges to $\sqrt{e}$\, which matches the previously best known upper bounds.
URL:https://colleges.claremont.edu/ccms/event/bounds-and-extremal-examples-for-the-hot-spots-ratio-alex-hsu-university-of-washington/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ryan Aschoff":MAILTO:ryan.aschoff@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250930T121500
DTEND;TZID=America/Los_Angeles:20250930T131000
DTSTAMP:20260504T114427
CREATED:20250927T185625Z
LAST-MODIFIED:20250927T185625Z
UID:3874-1759234500-1759237800@colleges.claremont.edu
SUMMARY:Algebraic lattices and Pisot polynomials (Lenny Fukshansky\, CMC)
DESCRIPTION:A Z-module M in a number field K gives rise to a lattice in the corresponding Euclidean space via Minkowski embedding. Such lattices often carry inherited structure from the number field in question and can be attractive from both\, theoretical and applied perspectives. We consider this construction when M is spanned by the set of roots of an irreducible polynomial f(x) of prime degree n. In this case\, the resulting lattice has rank n or n-1 and includes the Galois group of f(x) as a subgroup of its automorphism group. Of particular interest is the case of Pisot polynomials\, i.e.\, polynomials with one positive real root and the rest of the roots in the unit circle. We construct infinite families of such polynomials of any prime degree for which the resulting lattices have bases of minimal vectors\, a property of interest in coding theory and cryptography applications. In case of the Galois group being cyclic\, A_n\, or S_n we derive formulas for the determinant of the lattice in terms of the symmetric functions of the roots of f(x). This is joint work with Evelyne Knight (Pomona College).
URL:https://colleges.claremont.edu/ccms/event/algebraic-lattices-and-pisot-polynomials-lenny-fukshansky-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
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