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DTSTART;TZID=America/Los_Angeles:20261111T161500
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SUMMARY:CCMS Colloquium: Fractal Cohomology of the Ternary Cantor Set: An Invitation to the Imaginarium of Complex Dimensions — Shanna Dobson (Harvey Mudd College)
DESCRIPTION:Abstract: We present our program of geometrizing cohomology on a totally disconnected space through the intrinsic Cantor function and the cohomological complex dimensions of the ternary Cantor set. The Cantor set is an uncountable\, self-similar set of measure zero; yet beneath this apparent “dust” lies a remarkably rich geometry across scales. We show how cohomological information can be organized and transported through this multiscale geometry\, giving rise to nontrivial local and global fractal cohomology groups. \nWe describe how this multiscale geometry gives rise to a hierarchy of cohomological complex dimensions and indicate the resulting connections among geometry\, analysis\, and cohomology. A dust of points can carry a coherent geometry across every scale—and that geometry is reflected in a hierarchy of complex dimensions. This talk is based on forthcoming joint work with Michel L. Lapidus. \nBio: Dr. Shanna Dobson is a Visiting Assistant Professor of Mathematics at Harvey Mudd College. She received her PhD in Mathematics (summa cum laude) from the University of California\, Riverside\, where she studied fractal and arithmetic geometry\, and category theory. Dr. Dobson’s graduate research was supported by a National Science Foundation Mathematical Sciences Graduate Research Fellowship\, and she participated in the Institute for Advanced Study Women and Mathematics Program and Ambassadorship. She also teaches mathematics at Cal State LA and ArtCenter College of Design in Pasadena. Her teaching emphasizes creativity\, inquiry-based learning\, and helping students build confidence and curiosity in mathematics. Dr. Dobson is the founder of the AWM research network Women\, Art\, and Mathematics (WAAM)\, and currently serves as Chair of the Southern California–Nevada Section of the Mathematical Association of America\, and Associate Editor of the Anneli Lax New Mathematical Library. \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-fractal-cohomology-of-the-ternary-cantor-set-an-invitation-to-the-imaginarium-of-complex-dimensions-shanna-dobson-harvey-mudd-college/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261110T161500
DTEND;TZID=America/Los_Angeles:20261110T171500
DTSTAMP:20261003T001859Z
CREATED:20261003T001859Z
LAST-MODIFIED:20261003T001859Z
UID:10002359-1794327300-1794330900@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Vin de Silva (Pomona College)
DESCRIPTION:Speaker: Vin de Silva (Pomona College) \nTitle: TBA\n \nAbstract: TBA \n_______ \nWe especially welcome all undergraduates and graduate students to attend topology seminar! \nRoom: Roberts South 103
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-vin-de-silva-pomona-college/
LOCATION:Roberts South 103\, Roberts Hall South 103\, Claremont McKenna College\, E 8th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261110T121500
DTEND;TZID=America/Los_Angeles:20261110T131000
DTSTAMP:20261017T065704Z
CREATED:20261017T065704Z
LAST-MODIFIED:20261017T065704Z
UID:10002370-1794312900-1794316200@colleges.claremont.edu
SUMMARY:Entropy of probability bundles (Wai Yan Pong\, Cal State Dominguez Hills)
DESCRIPTION:This will be a sequel of my last ANTC talk on bundles of probability schemes. We introduce entropy for fiber bundles of probability schemes and higher-order entropy for hypercubes of bundles. This framework yields categorical proofs of several fundamental results about Shannon entropy and reveals correspondences between classical concepts in information theory and categorical concepts in the bundle category.
URL:https://colleges.claremont.edu/ccms/event/entropy-of-probability-bundles-wai-yan-pong-cal-state-dominguez-hills/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261109T161500
DTEND;TZID=America/Los_Angeles:20261109T171500
DTSTAMP:20261105T162932Z
CREATED:20261105T162932Z
LAST-MODIFIED:20261105T162932Z
UID:10002378-1794240900-1794244500@colleges.claremont.edu
SUMMARY:Applied Math Course Preview
DESCRIPTION:Please join us for the course preview of upper division undergraduate and graduate Spring 2027 courses in the Applied Mathematical Sciences. \nCome hear from faculty about the exciting options this upcoming Spring in applied math\, data science\, probability\, statistics\, and financial mathematics. It’s a great opportunity to learn more\, ask questions\, and plan your schedule!
URL:https://colleges.claremont.edu/ccms/event/applied-math-course-preview/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, 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:20261107T090000
DTEND;TZID=America/Los_Angeles:20261107T115500
DTSTAMP:20261010T020516Z
CREATED:20261010T020516Z
LAST-MODIFIED:20261010T020516Z
UID:10002367-1794042000-1794052500@colleges.claremont.edu
SUMMARY:GEMS November 7th Session
DESCRIPTION:This GEMS session will be facilitated by Professor Robert Sanchez from Harvey Mudd College. \nTitle: Going with the flow: The Mathematics of Fluid Motion\n\nAbstract: Why can the depth of a river or the height of a wave tell us how fast it is moving? This lesson talks about the mathematics of fluid motion and how we can use simple\, dimensional arguments to simplify complicated equations. You will perform a hands-on tank experiment and record the speed of a gravity current. We will vary the parameters that control the fluid motion to predict flow speed. We will compare our predictions to real world phenomena such as dust storms\, sea breezes and avalanches.
URL:https://colleges.claremont.edu/ccms/event/gems-november-7th-session/
LOCATION:Shanahan 3481\, Harvey Mudd College\, 320 E. Foothill Blvd.\, Claremont\, CA\, 91711-3941\, United States
CATEGORIES:GEMS
ORGANIZER;CN="Teal Witter":MAILTO:raylen.witter@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261104T161500
DTEND;TZID=America/Los_Angeles:20261104T171500
DTSTAMP:20261022T212350Z
CREATED:20261022T212245Z
LAST-MODIFIED:20261022T212350Z
UID:10002372-1793808900-1793812500@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Sharp Comparisons Between Sliced and Standard 1-Wasserstein Distances — Yi Wang (John Hopkins University)
DESCRIPTION:Abstract: Optimal transport describes the process of finding the most efficient way to move mass between two distributions. Wasserstein distance measures the minimal transportation cost achieved by that optimal plan. However\, in higher dimensions\, computing the Wasserstein distance becomes computationally expensive. The sliced Wasserstein distance offers an effective and efficient way to alleviate this burden. In this talk\, I will talk about the quantitative estimates between the sliced \(1\)-Wasserstein distance and the \(1\)-Wasserstein distance. I will then discuss our construction of a concrete example that demonstrates the exponents in the estimate are sharp. This is joint work with Guillaume Carlier\, Alessio Figalli\, Quentin Merigot. \nBio: Yi Wang is a Professor of Mathematics at Johns Hopkins University and a faculty member of the Johns Hopkins Data Science and AI Institute. Her research spans geometric analysis\, nonlinear partial differential equations\, and the mathematical foundations of machine learning and artificial intelligence. She received her Ph.D. from Princeton University and previously held positions at Stanford University and the Institute for Advanced Study. Her work has been supported by an NSF CAREER Award\, and her recent research explores the geometry\, optimization\, and reasoning capabilities of modern AI systems. \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-sharp-comparisons-between-sliced-and-standard-1-wasserstein-distances-yi-wang-john-hopkins-university/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261103T161500
DTEND;TZID=America/Los_Angeles:20261103T171500
DTSTAMP:20261003T001913Z
CREATED:20261003T001804Z
LAST-MODIFIED:20261003T001913Z
UID:10002358-1793722500-1793726100@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Chris Soteros (University of Saskatchewan)
DESCRIPTION:Speaker: Chris Soteros (University of Saskatchewan) \nTitle: TBA\n \nAbstract: TBA \n_______ \nWe especially welcome all undergraduates and graduate students to attend topology seminar! \nRoom: Roberts South 103
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-chris-soteros-university-of-saskatchewan/
LOCATION:Roberts South 103\, Roberts Hall South 103\, Claremont McKenna College\, E 8th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261103T121500
DTEND;TZID=America/Los_Angeles:20261103T131000
DTSTAMP:20261029T165717Z
CREATED:20261029T165717Z
LAST-MODIFIED:20261029T165717Z
UID:10002375-1793708100-1793711400@colleges.claremont.edu
SUMMARY:Models of elliptic curves with maximal 2-adic image subject to a rational 2-isogeny ( Roberto Hernandez\, UC Irvine)
DESCRIPTION:Let $E$ be a non-CM elliptic curve defined over $\mathbb{Q}$. We present models of curves that have 2-adic image as large as possible\, given the constraint that they have a rational 2-isogeny. These curves are known to be generic\, and one of the aims of this article is to make that fact explicit. Our techniques make use of modular curves and their $j$-maps\, as well as classification results on isogeny-graphs that have appeared in the literature recently.
URL:https://colleges.claremont.edu/ccms/event/models-of-elliptic-curves-with-maximal-2-adic-image-subject-to-a-rational-2-isogeny-roberto-hernandez-uc-irvine/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261102T161500
DTEND;TZID=America/Los_Angeles:20261102T171500
DTSTAMP:20261007T205549Z
CREATED:20261007T204617Z
LAST-MODIFIED:20261007T205549Z
UID:10002365-1793636100-1793639700@colleges.claremont.edu
SUMMARY:In-Context Kernel Ridge Regression with Transformers (Mingsong Yan\, UCSB)
DESCRIPTION:Large language models (LLMs) can use examples provided in a prompt to make predictions for new queries without updating their parameters\, a capability known as in-context learning. In this talk\, I will explore how transformers\, the architectural backbone of many LLMs\, can perform nonlinear kernel ridge regression (KRR). I will first present numerical observations showing that transformers pretrained on regression tasks match KRR predictions more closely as depth increases. Motivated by these observations\, I will present a theoretical construction showing how a transformer can approximate the Gaussian KRR predictor through an intuitive connection to a convergent iterative solver. This construction has a natural interpretation: successive transformer layers approximate steps of the solver\, progressively refining the solution to the underlying kernel system. Together\, these results provide theoretical and empirical insights into in-context learning with transformers for nonlinear regression.
URL:https://colleges.claremont.edu/ccms/event/in-context-kernel-ridge-regression-with-transformers/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, 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:20261028T160000
DTEND;TZID=America/Los_Angeles:20261028T173000
DTSTAMP:20261025T003702Z
CREATED:20261025T003444Z
LAST-MODIFIED:20261025T003702Z
UID:10002374-1793203200-1793208600@colleges.claremont.edu
SUMMARY:47 Lecture - Ismar Volić (Wellesley College)
DESCRIPTION:The mathematics of democracy\, from theory to practice\nMathematics has played a largely unseen role in democracy for centuries\, influencing everything from how votes are counted to how political boundaries are drawn. Today\, classical mathematical ideas are finding unexpected new applications\, while unprecedented computational resources are opening new avenues for analyzing and improving democratic systems. This talk will explore the historical connections between mathematics and democracy and survey contemporary research at this intersection\, including voting theory\, districting\, apportionment\, proportional representation\, and digital democracy. Along the way\, it will consider how mathematical rigor can be brought into productive dialogue with the complex human realities of politics\, an increasingly important challenge at a time of profound strain on democratic institutions.\n\nIsmar Volić is a Professor of Mathematics and the Director of the Institute for Mathematics and Democracy at Wellesley College. He graduated from Boston University and received his Ph.D. in mathematics from Brown University. His research is in topology and social choice theory. He is the author of many articles and books and has delivered more than three hundred lectures in over twenty countries. He was a visiting professor at Harvard University\, MIT\, and the University of Virginia\, and is a 2026 Fellow of the American Mathematical Society. His writing has appeared in publications such as The Hill\, TIME\, and LitHub. His latest book\, Making Democracy Count: How Mathematics Improves Voting\, Electoral Maps\, and Representation\, won the Mathematical Association of America’s Euler Prize and was a finalist for the PROSE award given by the Association of American Publishers. The book is based on The Mathematics of Democracy\, a popular course he created and has taught for several years at Wellesley. His TEDx talk which highlights the main ideas from the book\, The hidden math that shapes democracy\, was selected as a TED Editors’ Pick.\n\nArgue Auditorium is on the first floor of Pomona College’s Estella Laboratory at 610 N College Ave.  The talk is free and open to the Claremont community. A reception will follow the talk at 5:30pm.
URL:https://colleges.claremont.edu/ccms/event/47-lecture-ismar-volic-wellesley-college/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Special Event
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261027T161500
DTEND;TZID=America/Los_Angeles:20261027T171500
DTSTAMP:20261003T001648Z
CREATED:20261003T001648Z
LAST-MODIFIED:20261003T001648Z
UID:10002357-1793117700-1793121300@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Robert Cass (CMC)
DESCRIPTION:Speaker: Robert Cass (CMC) \nTitle: TBA\n \nAbstract: TBA \n_______ \nWe especially welcome all undergraduates and graduate students to attend topology seminar! \nRoom: Roberts South 103
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-robert-cass-cmc/
LOCATION:Roberts South 103\, Roberts Hall South 103\, Claremont McKenna College\, E 8th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261027T121500
DTEND;TZID=America/Los_Angeles:20261027T131000
DTSTAMP:20261022T212649Z
CREATED:20261022T212649Z
LAST-MODIFIED:20261022T212649Z
UID:10002373-1793103300-1793106600@colleges.claremont.edu
SUMMARY:Lüroth semigroups of hyperelliptic curves over number fields (Jasmine Camero\, Pomona College)
DESCRIPTION:Let $C$ be a smooth\, projective\, geometrically integral hyperelliptic curve of genus $g \ge 2$ over a number field $k$. We investigate the structure of the $\mathbb{P}^1$-parameterized density degree set $\delta_{\mathbb{P}^1}(C/k)$ (equivalently\, the Lüroth semigroup) for such curves\, consisting of degrees arising from morphisms to $\mathbb{P}^1$. Building on foundational frameworks for parameterized points\, we provide a comprehensive classification of these sets. Specifically\, we establish a master classification theorem that links the admissibility of odd degrees directly to Brill-Noether loci on the Jacobian variety. Our results characterize both the extreme behaviors\, dictated by whether the rational points of the Jacobian are Zariski dense or finite\, and the intermediate spectrum of possible minimum odd integers.
URL:https://colleges.claremont.edu/ccms/event/luroth-semigroups-of-hyperelliptic-curves-over-number-fields-jasmine-camero-pomona-college/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261026T161500
DTEND;TZID=America/Los_Angeles:20261026T170000
DTSTAMP:20261016T164717Z
CREATED:20261016T163415Z
LAST-MODIFIED:20261016T164717Z
UID:10002369-1793031300-1793034000@colleges.claremont.edu
SUMMARY:Initial Conditions and the Big Push (Daniel Velasquez\, CMC)
DESCRIPTION:This paper examines how initial conditions shape the long-run impact of large temporary shocks on economic geography. Using WWII supply contracts in the United States\, we show that temporary spending had persistent effects on population and manufacturing employment only in counties with low initial manufacturing development. Motivated by these findings\, we develop a multisector economic geography model that features external economies of scale in manufacturing with non-constant elasticity. We calibrate the model and show that we match the empirical estimates with an S-shaped scale function for which scale economies large enough to cause coordination failures are limited to locations with low initial manufacturing employment. We use the calibrated model to re-evaluate how temporary WWII spending shaped the evolution of U.S. postwar economic geography. Despite the presence of big push dynamics and multiple steady states\, the aggregate effects of WWII spending on long-term outcomes are limited due to the restricted domain over which coordination failures operate. \nYou can find an online version of the paper here:  https://papers.ssrn.com/sol3/papers.cfm?abstract_id=5408984
URL:https://colleges.claremont.edu/ccms/event/initial-conditions-and-the-big-push-daniel-velasquez-cmc/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, 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:20261021T161500
DTEND;TZID=America/Los_Angeles:20261021T171500
DTSTAMP:20260903T023147Z
CREATED:20260903T023110Z
LAST-MODIFIED:20260903T023147Z
UID:10002243-1792599300-1792602900@colleges.claremont.edu
SUMMARY:Fall Break Event — Graduate/Academic Panel (On Zoom)
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/fall-break-event-graduate-academic-panel-on-zoom/
LOCATION:On Zoom
CATEGORIES:Colloquium,Special Event
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261014T161500
DTEND;TZID=America/Los_Angeles:20261014T171500
DTSTAMP:20261012T021405Z
CREATED:20261012T021405Z
LAST-MODIFIED:20261012T021405Z
UID:10002368-1791994500-1791998100@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Frobenius invariants — Austyn Simpson (Bates College)
DESCRIPTION:Abstract: Rings containing a finite field \(mathbb{F}_p\) (such as the ring of polynomials with coefficients in \(mathbb{F}_p\)) admit a map called the Frobenius homomorphism which sends every element to its \(p\)-th power. This operation encodes delicate information about the geometry of the zero sets of polynomial equations in prime characteristic\, such as whether they are smooth. In this talk\, I will survey some numerical invariants defined using limits and asymptotic properties of this homomorphism which quantify how non-smooth a polynomial is. I will also discuss the current capabilities of large language models at solving problems related to these invariants\, as well as a surprising appearance of the number \(frac{4}{3}+frac{5}{14sqrt{7}}\). \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-frobenius-invariants-austyn-simpson-bates-college/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261013T161500
DTEND;TZID=America/Los_Angeles:20261013T171500
DTSTAMP:20261003T001516Z
CREATED:20261003T001516Z
LAST-MODIFIED:20261003T001516Z
UID:10002356-1791908100-1791911700@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Jim Hoste (Pitzer College)
DESCRIPTION:Speaker: Jim Hoste (Pitzer) \nTitle: Enumerating 2-bridge knots\n \nAbstract: A new proof of an old theorem. This is joint work with Patrick D. Shanahan (Loyola Marymount University). \n_______ \nWe especially welcome all undergraduates and graduate students to attend topology seminar! \nRoom: Roberts South 103
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-jim-hoste-pitzer-college-2/
LOCATION:Roberts South 103\, Roberts Hall South 103\, Claremont McKenna College\, E 8th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261013T121500
DTEND;TZID=America/Los_Angeles:20261013T131000
DTSTAMP:20261009T145627Z
CREATED:20261009T145627Z
LAST-MODIFIED:20261009T145627Z
UID:10002366-1791893700-1791897000@colleges.claremont.edu
SUMMARY:Bertini’s theorem for F-rationality (Austyn Simpson\, Bates College)
DESCRIPTION:A classical principle in algebraic geometry is that a general hyperplane section of a variety should have singularities no worse than those of the variety itself. Over the complex numbers\, this principle is known to hold for rational singularities. Rational singularities are related via reduction mod p to a notion called F-rationality\, which is defined in terms of the Frobenius endomorphism. In this talk\, I will explore whether F-rationality is inherited by a general hyperplane section of a quasi-projective variety. I will explain why this question has a negative answer in general\, but an affirmative one provided that the variety X admits a Frobenius splitting. This is based on joint work with Alessandro De Stefani and Thomas Polstra.
URL:https://colleges.claremont.edu/ccms/event/bertinis-theorem-for-f-rationality-austyn-simpson-bates-college/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261007T161500
DTEND;TZID=America/Los_Angeles:20261007T171500
DTSTAMP:20261001T184747Z
CREATED:20261001T184747Z
LAST-MODIFIED:20261001T184747Z
UID:10002353-1791389700-1791393300@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Distribution-Based Optimal Asset Selling — Sixian Jin (CSU San Marcos)
DESCRIPTION:Abstract: In this talk\, we study the optimal timing of selling a risky asset within the distribution builder framework. Instead of specifying a utility function or risk-aversion parameter\, this approach allows an investor to express preferences directly through a desired distribution of the selling price. Mathematically\, the problem is closely related to the Skorokhod embedding problem\, where a target distribution is attained by stopping a diffusion process. We first discuss the distribution builder problem for general one-dimensional diffusions and then extend the framework to incorporate the possibility of ruin\, which places additional restrictions on the distributions that can be attained. We characterize the set of distributions attainable before ruin and consider two related optimization problems: finding the attainable distribution closest to an unattainable target\, and improving an attainable target under first-order stochastic dominance constraints. Using an extended f-divergence framework\, we establish existence and uniqueness results\, provide analytic characterizations of the solutions\, and illustrate the approach with numerical examples. \nSixian Jin is an Assistant Professor of Mathematics at California State University San Marcos. He graduated from Claremont Graduate University in 2017 under the supervision of Prof. Henry Schellhorn. His research interests include stochastic analysis\, stochastic differential equations\, and their applications in mathematical finance. In addition to his research\, he is actively involved in undergraduate and graduate education in probability\, statistics\, and financial mathematics. He is also interested in the use of artificial intelligence in mathematics education\, particularly in exploring how AI tools can be effectively incorporated into the teaching and learning of financial mathematics and statistics. \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-distribution-based-optimal-asset-selling-sixian-jin-csu-san-marcos/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261006T161500
DTEND;TZID=America/Los_Angeles:20261006T171500
DTSTAMP:20261002T220229Z
CREATED:20261002T220229Z
LAST-MODIFIED:20261002T220229Z
UID:10002355-1791303300-1791306900@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Puttipong Pongtanapaisan (Pitzer College)
DESCRIPTION:Speaker: Puttipong Pongtanapaisan (Pitzer) \nTitle: Introduction to Quantum Invariants of 3-Manifolds\n \nAbstract: The previous speakers showed us how to distinguish knots and links using techniques involving quantum groups. I will start by explaining briefly why 3-manifolds\, much like the universe we live in\, can actually be represented as knots and links with numbers assigned to each component. Furthermore\, diagrams of equivalent 3-manifolds differ by a sequence of moves that are highly similar to Reidemeister moves. To study 3-manifolds\, we will adapt the techniques discussed by previous speakers to come up with a quantity unchanged by these new moves. I will compute the invariant for some classic examples and draw lots of pictures. \n_______ \nWe especially welcome all undergraduates and graduate students to attend topology seminar! \nRoom: Roberts South 103
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-puttip-pitzer/
LOCATION:Roberts South 103\, Roberts Hall South 103\, Claremont McKenna College\, E 8th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261006T121500
DTEND;TZID=America/Los_Angeles:20261006T131000
DTSTAMP:20260903T162807Z
CREATED:20260903T162807Z
LAST-MODIFIED:20260903T162807Z
UID:10002249-1791288900-1791292200@colleges.claremont.edu
SUMMARY:Permutation Jones Polynomials (Sam Nelson\, CMC)
DESCRIPTION:The Jones Polynomial is an important invariant of knots with applications in physics\, quantum computation and more. In this talk I will introduce a family of generalizations of the Jones polynomial associated to permutations of finite sets and discuss their properties.
URL:https://colleges.claremont.edu/ccms/event/permutation-jones-polynomials-sam-nelson-cmc/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261005T161500
DTEND;TZID=America/Los_Angeles:20261005T171500
DTSTAMP:20260910T053858Z
CREATED:20260910T053858Z
LAST-MODIFIED:20260910T053858Z
UID:10002255-1791216900-1791220500@colleges.claremont.edu
SUMMARY:If a Statistical Model Predicts That Common Events Should Occur Only Once in 10\,000 Elections\, Maybe it’s the Wrong Model (Danny Ebanks\, Cal Tech)
DESCRIPTION:Political scientists forecast elections\, not primarily to satisfy public interest\, but to validate statistical models used for estimating quantities of scholarly interest. Although scholars have learned a great deal from these models\, they can be embarrassingly overconfident: Events that should occur once in 10\,000 elections occur almost every year\, and even those that should occur once in a five-quadrillion elections are sometimes observed. We develop the first generative statistical model of all US federal legislative elections for the U.S. House (1946–2024) and Senate (1954–2024) and validate it with extensive out-of-sample tests. We find that even as the incumbency advantage rises and falls\, voting patterns nationalize\, and heresthetic maneuvering remake candidacies and campaigns\, the fundamental quantities of interest related to American legislative elections remain constant over eighty years\, including but not limited to the probability of incumbent defeat\, the magnitude and dispersion of candidate effects\, the midterm penalty\, and the partisan bias of electoral maps. Most striking\, we show that the same set of structural parameters describes both U.S. House and Senate elections\, implying a universal data-generation process for American legislative elections in the postwar era.
URL:https://colleges.claremont.edu/ccms/event/if-a-statistical-model-predicts-that-common-events-should-occur-only-once-in-10000-elections-maybe-its-the-wrong-model-danny-ebanks-cal-tech/
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:20261003T100000
DTEND;TZID=America/Los_Angeles:20261003T115500
DTSTAMP:20260918T060138Z
CREATED:20260918T060138Z
LAST-MODIFIED:20260918T060138Z
UID:10002334-1791021600-1791028500@colleges.claremont.edu
SUMMARY:GEMS October 3rd Session
DESCRIPTION:This GEMS session will be facilitated by Professor Chiu-Yen Kao from Claremont McKenna College. \nTitle: The Magic of 0s and 1s\n\nAbstract: Have you ever wondered how data in a computer is stored? In this talk\, we’ll crack open the binary numeral system\, the simple code of 0s and 1s that represents everything on your screen\, from text and audio to images and video. Through hands-on group activities (including encoding your own name in binary!)\, you’ll get to experience the magic of 0s and 1s for yourself. No background needed\, just curiosity!
URL:https://colleges.claremont.edu/ccms/event/gems-october-3rd-session/
LOCATION:Shanahan 3481\, Harvey Mudd College\, 320 E. Foothill Blvd.\, Claremont\, CA\, 91711-3941\, United States
CATEGORIES:GEMS
ORGANIZER;CN="Teal Witter":MAILTO:raylen.witter@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260930T161500
DTEND;TZID=America/Los_Angeles:20260930T171500
DTSTAMP:20260922T024752Z
CREATED:20260922T024752Z
LAST-MODIFIED:20260922T024752Z
UID:10002337-1790784900-1790788500@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Stable Khovanov Homology for Torus Links — Christine Lee (Texas State University)
DESCRIPTION:Abstract: Stable Khovanov homology \(Kh(T(n\, \infty))\) is an algebraic limit of the Khovanov homology groups of torus links \(T(n\, k) \) on a fixed number of strands \(n\)\, when more and more full twists are added as \(k \to \infty\). Stable Khovanov homology is intimately related to the Jones polynomial because it categorifies the Jones-Wenzl projector\, which can be used to define the colored Jones polynomial. \nWe still do not completely understand \(Kh(T(n\, \infty))\). The Gorsky-Oblomkov-Rasmussen conjecture predicts a simple form of the complex for which the explicit forms of the differentials are still open. I will talk about my summer research project with a group of undergraduate students where we use a process called “whittling” to compute explicit forms of the differentials for 3- and 4-stranded torus braids. We expect our results will serve as the base case for an induction proof of the GOR conjecture. \nBesides the discussion on providing meaningful research experience for undergraduate students\, the computational aspects of the project may be of interest to the audience. The students were organized into a “math” team and a “computer” team to encourage interaction of these perspectives in pursuit of a common goal. \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-stable-khovanov-homology-for-torus-links-christine-lee-texas-state-university/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260929T161500
DTEND;TZID=America/Los_Angeles:20260929T171500
DTSTAMP:20261002T220011Z
CREATED:20261002T215939Z
LAST-MODIFIED:20261002T220011Z
UID:10002354-1790698500-1790702100@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Helen Wong (CMC)
DESCRIPTION:Speaker: Helen Wong (CMC) \nTitle: Introduction to the colored Jones polynomial\n \nAbstract: This is a learning seminar. We will present an accessible definition of the colored Jones polynomial for knots and links and discuss the Volume Conjecture\, which relates the colored Jones polynomial of K with the volume of its complement S^3 \K. \n_______ \nWe especially welcome all undergraduates and graduate students to attend topology seminar! \nRoom: Roberts South 103
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-helen-wong-cmc/
LOCATION:Roberts South 103\, Roberts Hall South 103\, Claremont McKenna College\, E 8th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260929T121500
DTEND;TZID=America/Los_Angeles:20260929T131000
DTSTAMP:20260916T004741Z
CREATED:20260916T004741Z
LAST-MODIFIED:20260916T004741Z
UID:10002331-1790684100-1790687400@colleges.claremont.edu
SUMMARY:From the basics of extremal graph theory to bipartite Turan numbers of trees and star forests (Omid Khormali\, HMC)
DESCRIPTION:Extremal graph theory asks how many edges a graph can have while avoiding a given substructure. We will begin with a brief\, accessible introduction to this area\, before turning to a natural variant\, the bipartite Turan number $(m\,n;H)$\, which restricts the host graph to be bipartite. This setting is especially natural when $H$ itself is bipartite\, such as a tree or star forest. We present new results determining the leading-order bipartite Turan number for trees and the exact bipartite Turan number for star forests\, along with a sketch of the key proof ideas.
URL:https://colleges.claremont.edu/ccms/event/from-the-basics-of-extremal-graph-theory-to-bipartite-turan-numbers-of-trees-and-star-forests-omid-khormali-hmc/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260928T161500
DTEND;TZID=America/Los_Angeles:20260928T171500
DTSTAMP:20260913T232258Z
CREATED:20260913T232258Z
LAST-MODIFIED:20260913T232258Z
UID:10002330-1790612100-1790615700@colleges.claremont.edu
SUMMARY:Brain Imaging and Mathematical Modeling of Alzheimer's Disease (Peter Hinow\, U. Wisconsin\, Milwaukee)
DESCRIPTION:A wide variety of medical imaging methods exist for research and diagnostic procedures on the Central Nervous System (CNS)\, among them Magnetic Resonance Imaging (MRI) and Optical Imaging. Mathematical modeling and simulation contribute significantly to an improved understanding of image data and the intricate transport\, diffusion\, and metabolic processes in the brain. This is of particular importance in the study of pathologies such as Alzheimer’s Disease\, which\, 125 years after its description\, remains poorly understood and for which only moderate success has been made in its treatment. In the first work to be presented\, we investigate tracer diffusion and transport in the glymphatic system by combining optical imaging in rats with a partial differential equation of reaction-advection-diffusion type. In a second work\, we collect observations on the accumulation of amyloid-β\, changes in neuronal density\, and a decline in cognitive performance in TgF344-AD and wild-type rats. We develop a compartmental ordinary differential equation model and determine its parameters by fitting the output to the experimental observations. In the long run\, our mathematical modeling effort is intended to bridge AD research in rodent models and the human condition of AD. This is joint work with Dr. Muna Aryal (North Carolina Agricultural and Technical State University) and Micah Hesketh\, MS (graduate student\, UWM).
URL:https://colleges.claremont.edu/ccms/event/brain-imaging-and-mathematical-modeling-of-alzheimers-disease-peter-hinow-u-wisconsin-milwaukee-2/
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:20260923T161500
DTEND;TZID=America/Los_Angeles:20260923T171500
DTSTAMP:20260921T164909Z
CREATED:20260921T164635Z
LAST-MODIFIED:20260921T164909Z
UID:10002336-1790180100-1790183700@colleges.claremont.edu
SUMMARY:CCMS Colloquium: The Stochastic Logistic Map: Theory and Applications — Kimberly Ayers (CSU San Marcos)
DESCRIPTION:Flyer for Kim’s talk. \nAbstract: The logistic map is one of the most famous examples in dynamical systems. Originally introduced as a simple model of population growth\, it exhibits a surprisingly rich range of behavior: as a single parameter varies\, stable equilibria give way to periodic orbits and eventually to chaos. But in real populations\, quantities such as reproductive and death rates are unlikely to remain constant over time. What happens when we allow this parameter to vary randomly from one generation to the next? \nIn this talk\, we explore a stochastic version of the logistic map in which the parameter is chosen randomly at each iteration. Introducing randomness changes the questions we ask: rather than studying individual fixed points or periodic orbits\, we investigate probability distributions that describe the long-term behavior of the system. We will see how tools from dynamical systems and Markov processes can be used to show that\, under appropriate conditions\, the stochastic system settles into a unique long-term statistical behavior that is independent of its initial state. We conclude with simulations illustrating this invariant distribution and discuss several questions about how the system’s behavior changes as the amount and type of randomness vary. \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-the-stochastic-logistic-map-theory-and-applications-kimberly-ayers-csu-san-marcos/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260922T161500
DTEND;TZID=America/Los_Angeles:20260922T171500
DTSTAMP:20260916T004846Z
CREATED:20260916T004846Z
LAST-MODIFIED:20260916T004846Z
UID:10002332-1790093700-1790097300@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Sam Nelson (CMC)
DESCRIPTION:Speaker: Sam Nelson (CMC) \nTitle: Permutation Jones Polynomials \nAbstract: The Jones Polynomial is an important invariant of knots with applications in physics\, quantum computation and more. In this talk I will introduce a family of generalizations of the Jones polynomial associated to permutations of finite sets and discuss their properties. \n_______ \nWe especially welcome all undergraduates and graduate students to attend topology seminar! \nThe Seminar Room Information will be added soon.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-sam-nelson-cmc-2/
LOCATION:CA
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260922T121500
DTEND;TZID=America/Los_Angeles:20260922T131000
DTSTAMP:20260917T215711Z
CREATED:20260917T215711Z
LAST-MODIFIED:20260917T215711Z
UID:10002333-1790079300-1790082600@colleges.claremont.edu
SUMMARY:Hilbert basis for conical semigroups and indecomposable elements (Lenny Fukshansky\, CMC)
DESCRIPTION:The unique minimal generating set for a semigroup of lattice points in an n-dimensional polyhedral cone is called its Hilbert basis. In the case when the cone is spanned by lattice points\, this Hilbert basis is finite\, however its cardinality can be much larger than n. Nevertheless\, a conjecture of Sebö states that each point in this semigroup can be spanned by no more than n elements of the Hilbert basis. We will brief discuss this conjecture and its current status\, and then shift to the situation where the cone in question is the positive orthant in R^n. In this case the Hilbert basis consists of the so-called indecomposable elements\, notation coming from the theory of universal quadratic forms over algebraic number fields. We will classify lattices that have finite versus infinite Hilbert basis of indecomposables. We will then discuss an analogue of Sebö’s conjecture for indecomposables in planar lattices and finish by presenting a counting estimate on the number of indecomposables of bounded norm in this 2-dimensional case. Joint work with Filiana Kostopoulou.
URL:https://colleges.claremont.edu/ccms/event/hilbert-basis-for-conical-semigroups-and-indecomposable-elements-lenny-fukshansky-cmc/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260921T161500
DTEND;TZID=America/Los_Angeles:20260921T171500
DTSTAMP:20260913T231319Z
CREATED:20260913T231319Z
LAST-MODIFIED:20260913T231319Z
UID:10002329-1790007300-1790010900@colleges.claremont.edu
SUMMARY:Number Theory meets Differential Equations: Using Homotopy Continuation to Compute Shabat Polynomials
DESCRIPTION:A Belyĭ pair \(\bigl( S\,\\, z(w) \bigr)\) is a compact\, connected Riemann surface \(S\) together with a rational function \(z \colon S \to \mathbb{P}^1(\mathbb{C})\) which has at most three critical values \(\bigl\{ 0\,\\, 1\,\\, \infty \bigr\}\). The preimage \(z^{-1}\bigl( [0\,1] \bigr) \subseteq S \hookrightarrow \mathbb{R}^3\) is a bipartite graph called a Dessin d’Enfant. When \(S = \mathbb{P}^1(\mathbb{C}) \simeq S^2(\mathbb{R})\) is the Riemann sphere\, a tree—namely\, a planar graph with one face—can be realized as the Dessin d’Enfant of a polynomial. Named in honor of Georgii Borisovich Shabat\, a Belyĭ map \(z \colon S \to \mathbb{P}^1(\mathbb{C})\) which is also a polynomial is called a Shabat polynomial. \nIn this project\, we seek to compute more examples of Shabat polynomials. We introduce a trick which reduces the computation of such polynomials to finding solutions to a system of polynomial equations. We explore computing these solutions via two methods: (1) Newton’s method\, to find approximate values\, and (2) the homotopy continuation method\, to deform known solutions into desired yet unknown ones. Simply put\, in this talk we give an introduction to using differential equations to answer questions in number theory. \nThis project was completed through the Research Experience for Undergraduate Faculty (REUF) at AIM/ICERM in Summers 2025 and 2026 (DMS‑2015462).
URL:https://colleges.claremont.edu/ccms/event/number-theory-meets-differential-equations-using-homotopy-continuation-to-compute-shabat-polynomials/
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
END:VCALENDAR