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DTSTART;TZID=America/Los_Angeles:20260203T121500
DTEND;TZID=America/Los_Angeles:20260203T131000
DTSTAMP:20260129T215939Z
CREATED:20260129T172206Z
LAST-MODIFIED:20260129T215939Z
UID:3977-1770120900-1770124200@colleges.claremont.edu
SUMMARY:Relationships between skein algebras (Helen Wong\, CMC)
DESCRIPTION:We will examine the multiplicative structure of two skein algebras— the usual Kauffman bracket skein algebra of a surface (generated by loops) and a generalization of it due to Roger-Yang (generated by loops and arcs).   In joint work with Chloe Marple\, we found a homomorphism between the usual skein algebra for a closed torus and the Roger-Yang skein algebra for a twice-punctured annulus.   In this talk\, I’ll present some ways we used that homomorphism to do computations\, and whether there might be similar relationships between skein algebras of other surfaces. 
URL:https://colleges.claremont.edu/ccms/event/antc-talk-helen-wong-cmc-2/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260206T110000
DTEND;TZID=America/Los_Angeles:20260206T121500
DTSTAMP:20260127T164006Z
CREATED:20260110T215526Z
LAST-MODIFIED:20260127T164006Z
UID:3946-1770375600-1770380100@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Teal Witter (CMC)
DESCRIPTION:CCMS Colloquium invites you to a talk by Teal Witter (CMC)\n\n \nTitle:  Exactly Computing do-Shapley Values\n \n\nAbstract:  \nCausal questions lie at the heart of scientific inquiry\, from evaluating economic policies to determining medical treatments. Yet\, observational data alone is often insufficient due to the fundamental problem of causal inference: we cannot observe the counterfactual world where a specific intervention did not occur. Structural Causal Models (SCMs) offer a powerful solution by explicitly modeling the underlying mechanisms of a system. By formalizing data generation\, SCMs allow us to use the do-operator to rigorously simulate interventions\, answering questions like\, “If a patient were administered prednisone and made to stop smoking\, what would be their expected pain level?”\n\nHowever\, characterizing a system through individual queries is computationally daunting. As the number of features d grows\, the landscape of possible interventions scales exponentially (2^d). To extract interpretable insights from this combinatorial complexity\, we utilize the do-Shapley value\, a game-theoretic framework that attributes the complicated dynamics of an SCM to individual features.\n\nIn this talk\, I will present a new algorithmic approach that makes computing these values more tractable. We show that the causal landscape is structured into “irreducible sets”\, a building block where multiple interventions yield identical effects. By leveraging this structure\, we introduce an algorithm that computes do-Shapley values exactly\, with runtime that depends on the graph’s complexity rather than 2^d. We further propose an estimator that targets these sets directly\, producing more accurate estimates than prior work by several orders of magnitude or more.\n\nJoint work with Álvaro Parafita\, Tomas Garriga\, Maximilian Muschalik\, Fabian Fumagalli\, Axel Brando\, and Lucas Rosenblatt.\n\n \nBio: Teal is an Assistant Professor of Mathematics and Computer Science at Claremont McKenna College. His recent research explores randomized algorithms for problems in explainable AI and generative AI. More broadly\, he is interested in leveraging ideas from theoretical computer science and machine learning to design provably accurate algorithms. Before joining the consortium\, Teal completed his Ph.D. in Computer Science at New York University\, where he was supported by an NSF Graduate Research Fellowship. Prior to graduate school\, Teal attended Middlebury College.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-teal-witter-cmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260207T100000
DTEND;TZID=America/Los_Angeles:20260207T115500
DTSTAMP:20260105T220646Z
CREATED:20251204T214629Z
LAST-MODIFIED:20260105T220646Z
UID:3937-1770458400-1770465300@colleges.claremont.edu
SUMMARY:GEMS February 7th Session
DESCRIPTION:This GEMS session will be facilitated by Professor Teal Witter from Claremont McKenna College.\n\n\nTitle: Who Can Write Down the Bigger Number?\n\n\nAbstract: \nIf you had fifteen seconds to write the largest distinct whole number possible on an index card\, what would you write? While most would look to the physical world for inspiration—counting the grains of sand in the Sahara or the atoms in the observable universe—we will explore much larger numbers. Our journey will take us beyond the limits of scientific notation\, moving from “power towers” and the mind-bending Ackermann function to the very edge of computer science. Ultimately\, we will arrive at the “Busy Beaver” sequence: numbers so unfathomably vast that they are theoretically uncomputable. Join us to explore the boundaries of language\, logic\, and the truly gargantuan.
URL:https://colleges.claremont.edu/ccms/event/gems-february-7th-session/
LOCATION:Shanahan B450\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, 91711\, United States
CATEGORIES:GEMS
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260209T161500
DTEND;TZID=America/Los_Angeles:20260209T171500
DTSTAMP:20260205T210218Z
CREATED:20260205T210218Z
LAST-MODIFIED:20260205T210218Z
UID:3983-1770653700-1770657300@colleges.claremont.edu
SUMMARY:A BKM-type criterion for the 3D incompressible Euler equations (Mustafa Aydin\, USC)
DESCRIPTION:Abstract: The three-dimensional incompressible Euler equations describe the motion of an ideal fluid\, yet the mechanisms that govern the possible loss of regularity of smooth solutions remain only partially understood. A classical result of Beale\, Kato\, and Majda shows that if a smooth solution breaks down in finite time\, then the time integral of the vorticity’s supremum norm must diverge\, providing a sharp conditional criterion for regularity. \nIn this talk\, I will present a new blow-up criterion in the spirit of the Beale–Kato–Majda theorem that emphasizes a different form of control. Instead of requiring bounds on the full vorticity\, the criterion involves tangential derivatives of the velocity field\, and shows that smooth solutions persist as long as these derivatives remain appropriately bounded in time. The result holds in a variety of settings\, including the whole space\, periodic domains\, and domains with boundaries.
URL:https://colleges.claremont.edu/ccms/event/a-bkm-type-criterion-for-the-3d-incompressible-euler-equations-mustafa-aydin-usc/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Ryan Aschoff":MAILTO:ryan.aschoff@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260212T161500
DTEND;TZID=America/Los_Angeles:20260212T171500
DTSTAMP:20260207T014348Z
CREATED:20260207T012748Z
LAST-MODIFIED:20260207T014348Z
UID:3984-1770912900-1770916500@colleges.claremont.edu
SUMMARY:Analysis Seminar: Generalized Elmendorf’s Theorem in Context (Sofía Martínez Alberga\, Bryn Mawr College)
DESCRIPTION:Abstract: In general\, the objective of algebraic topology is to classify spaces using some algebraic invariants or up to some notion of equivalence. In the area of equivariant homotopy theory\, the goal is the same but now spaces equipped with a group action are considered and algebraic invariants of choice are homotopy groups. It turns out there is an analogous version of Whitehead’s theorem in the equivariant setting which in some sense motivates studying weak homotopy equivalences over homotopy equivalences. This talk will review some of these homotopical notions and introduce Elmendorf’s theorem. Proved in the eighties\, this theorem sheds some light on how one can better understand equivariant homotopical notions as functors from the orbit category of the group to the category of topological spaces. Also\, in this talk we will address how this perspective is used more modernly to understand better equivariant notions of other categories and to expand nonequivariant notions to equivariant ones.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-generalized-elmendorfs-theorem-in-context-sofia-martinez-alberga-bryn-mawr-college/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260213T110000
DTEND;TZID=America/Los_Angeles:20260213T121500
DTSTAMP:20260210T023402Z
CREATED:20260210T023402Z
LAST-MODIFIED:20260210T023402Z
UID:3996-1770980400-1770984900@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Sofia Martinez Alberga (Bryn Mawr College)
DESCRIPTION:CCMS Colloquium invites you to a talk by Sofia Martinez Alberga (Bryn Mawr College)\n \nTitle: Stay in the Loop and Fun Group\n \nAbstract: In this talk\, we will discuss the goal of algebraic topology. After we will discuss a topological space that can be associated with any topological space\, say $X$\, and base point\, $b \in X$: the based loop space denoted $\Omega(X\, b)$. The loop space has some interesting algebraic structure that allows us to define an invariant for spaces. We will see how this invariant can be used more generally and when the action of a group is present on the space.\n \nBio: Dr. Sofía Martínez Alberga is a Research Associate at Bryn Mawr College working in algebraic topology. Originally born and raised in southern California\, she earned her Bachelor’s of Science in mathematics from the University of California\, Riverside in 2019 and that same year she won the NSF Graduate Research Fellowship and the Math Alliance Fellowship. Dr. Martínez Alberga earned her PhD from Purdue University and during graduate school\, she held roles like MSRI-Undergraduate Program graduate research assistant\, Enhancing Diversity Graduate Education summer program graduate mentor\, and Women In Science Programs (WISP) Liaison. Furthermore Dr. Martínez Alberga has been invited to attend and speak at conferences and seminars internationally and has organized and secured grants for sessions at major conferences such as JMM.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-sofia-martinez-alberga-bryn-mawr-college/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260216T160000
DTEND;TZID=America/Los_Angeles:20260216T170000
DTSTAMP:20260121T190217Z
CREATED:20260121T185928Z
LAST-MODIFIED:20260121T190217Z
UID:3968-1771257600-1771261200@colleges.claremont.edu
SUMMARY:Explainability and Analysis of Variance (Zijun Gao\, USC)
DESCRIPTION:Abstract: Existing tools for explaining complex models and systems are associational rather than causal and do not provide mechanistic understanding. We propose a new notion called counterfactual explainability for causal attribution that is motivated by the concept of genetic heritability in twin studies. Counterfactual explainability extends methods for global sensitivity analysis (including the functional analysis of variance and Sobol’s indices)\, which assumes independent explanatory variables\, to dependent explanations by using a directed acyclic graphs to describe their causal relationship. Therefore\, this explanability measure directly incorporates causal mechanisms by construction. Under a comonotonicity assumption\, we discuss methods for estimating counterfactual explainability and apply them to a real dataset dataset to explain income inequality by gender\, race\, and educational attainment. \nBio: Zijun Gao is a tenure-track assistant professor in the Department of Data Sciences and Operations at USC Marshall Business School. She received her Ph.D. in Statistics from Stanford University in 2022 supervised by Professor Trevor Hastie. She served as a research associate in the Statistical Lab at the University of Cambridge from 2022 to 2023 hosted by Professor Qingyuan Zhao. Her research focuses on the estimation and inference problems in causal inference with heterogeneity\, with side interests in distribution learning\, selective inference\, and model evaluation. She also works on real-world data motivated topics\, with a specific emphasis on the applications in adaptive clinical trial and personalized medication.
URL:https://colleges.claremont.edu/ccms/event/explainability-and-analysis-of-variance-zijun-gao-usc/
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:20260217T121500
DTEND;TZID=America/Los_Angeles:20260217T131000
DTSTAMP:20260211T173037Z
CREATED:20260121T181315Z
LAST-MODIFIED:20260211T173037Z
UID:3964-1771330500-1771333800@colleges.claremont.edu
SUMMARY:Summer of Math Discovery: Two research projects on combinatorial polytopes (Andrés R. Vindas Meléndez\, HMC)
DESCRIPTION:This is a talk in two parts covering two projects that the speaker mentored over the summer of 2025. The first project deals with the study of polytopes that arise from the convex hulls of stack-sorting on particular permutations. The second project deals with the study of symmetric edge polytopes of a finite simple graph\, a centrally symmetric lattice polytope whose vertices are defined by the edges of the graph. Both projects studied the (Euclidean\, relative\, or normalized) volumes of the respective combinatorially defined polytope.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-andres-r-vindas-melendez-hmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260219T161500
DTEND;TZID=America/Los_Angeles:20260219T171500
DTSTAMP:20260216T012258Z
CREATED:20260216T012258Z
LAST-MODIFIED:20260216T012258Z
UID:4005-1771517700-1771521300@colleges.claremont.edu
SUMMARY:Analysis Seminar: Choquet simplices of groups and C*-algebras (Itamar Vigdorovich\, UCSD)
DESCRIPTION:Abstract: Let C be a compact convex set (in a locally convex topological vector space). By Choquet’s theorem\, every point in C is the barycenter of a probability measure supported on the extreme points. When this representing measure is unique\, C is called a simplex. \nSimplices arise naturally in various fields of mathematics: the space of invariant probability measures of a dynamical system is a simplex\, and so is the space of tracial states on a C*-algebra. In the group case\, the simplex of characters provides a framework for a non-commutative Fourier transform. \nI will also discuss results and phenomena for traces of free products\, fundamental groups of surfaces\, Kazhdan groups\, and related classes.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-choquet-simplices-of-groups-and-c-algebras-itamar-vigdorovich-ucsd/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260220T110000
DTEND;TZID=America/Los_Angeles:20260220T121500
DTSTAMP:20260211T174926Z
CREATED:20260110T220450Z
LAST-MODIFIED:20260211T174926Z
UID:3948-1771585200-1771589700@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Mary Lou Zeeman (Bowdoin College)
DESCRIPTION:CCMS Colloquium invites you to a talk by Mary Lou Zeeman (Bowdoin College)\n\n \nTitle: A new framework for studying transient reactivity in two-dimensional systems.\n \nAbstract: Even if a linear system of ordinary differential equations (ODEs) has a globally attracting equilibrium\, solutions of the ODEs may grow arbitrarily large in the short-term before returning to the equilibrium in the long-term. This counter-intuitive phenomenon of transient amplification is called reactivity. It is especially important in ecological resilience and other applications where disturbances of a system may be transiently magnified to undesirable levels. In this talk we introduce a new framework for analyzing reactivity in two-dimensional linear systems of ODEs. While the eigenstructure of the system captures the long-term dynamics\, we use the new framework to define an orthostructure\, dual to the eigenstructure\, that captures transient reactivity dynamics of the system. By interweaving the eigen- and ortho-structures\, we are able to exactly quantify the maximum disturbance amplification possible.\n \nBio: Mary Lou Zeeman is the Wells Johnson Professor of Mathematics at Bowdoin College.  Her research is in dynamical systems with applications to biology\, sustainability and resilience. She is known for collaboratively building cross-disciplinary research communities focused on the health of the planet. She helped found and co-lead the Mathematics and Climate Research Network\, the Computational Sustainability Network and the SIAM Activity Group on Mathematics of Planet Earth. \n 
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-mary-lou-zeeman-bowdoin-college/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260227T110000
DTEND;TZID=America/Los_Angeles:20260227T121500
DTSTAMP:20260226T054131Z
CREATED:20260110T215752Z
LAST-MODIFIED:20260226T054131Z
UID:3947-1772190000-1772194500@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Harrison Li (HMC)
DESCRIPTION:CCMS Colloquium invites you to a talk by Harrison Li (HMC)\n\n \nTitle: Precise analysis of blocked randomized experiments\n \nAbstract: I recently finished a multi-year project with collaborators analyzing a blocked randomized experiment to evaluate the effectiveness of a government job training program for unemployment insurance (UI) recipients in Rhode Island. In presenting the results\, I will focus on some methodological considerations that arose organically in this context. I will start by providing an introduction to the potential outcomes framework in causal inference and show how it enables us to formulate a precise mathematical description of what exactly it is we want to estimate when running a randomized experiment. Then\, we will see some principled and less principled methods for performing this estimation in the setting of a block randomized experiment. Some directions for ongoing and future research will be discussed.\n \nBio: Harrison Li is in his first year as  an Assistant Professor of Mathematics at Harvey Mudd College. He comes to Claremont after finishing his graduate studies in statistics at Stanford University in 2025\, and previously worked full time as a quantitative trader on Wall Street. His research interests center around variance reduction in randomized experiments through experimental design and/or novel estimation procedures. He is also very passionate about developing sound statistical methodology in the service of other disciplines\, including climate science\, agronomy\, and economics\, and about exposing more students to the mathematical aspects of probability and statistics. \n 
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-harrison-li/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
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