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DTSTART;TZID=America/Los_Angeles:20260909T161500
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SUMMARY:Fall 2026 Research Poster Session
DESCRIPTION:This poster session is meant to showcase undergraduate and graduate work in the mathematical sciences\, broadly interpreted\, in a supportive environment. \nThe poster session will take place at Claremont Graduate University at The Drucker Institute\, 1021 N Dartmouth Ave from 4:15pm – 5:30pm\, on Wednesday September 9th\, 2026. \n  \nRefreshments will be provided! For any 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)
URL:https://colleges.claremont.edu/ccms/event/fall-2026-research-poster-session/
LOCATION:The Drucker Institute\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium,Special Event
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
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DTSTART;TZID=America/Los_Angeles:20260916T161500
DTEND;TZID=America/Los_Angeles:20260916T171500
DTSTAMP:20260913T213353Z
CREATED:20260913T213353Z
LAST-MODIFIED:20260913T213353Z
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SUMMARY:Edge Ideals via Independence Polynomials of Graphs — Dalena Vien (Bryn Mawr)
DESCRIPTION:Abstract: Edge ideals of graphs provide a fertile ground for uncovering combinatorial expressions for algebraic invariants of squarefree monomial ideals. Many algebraic invariants of these edge ideals directly reflect combinatorial properties of their underlying graphs. In this talk\, I will discuss how the independence polynomial \(P_G(x)\)\, the generating function for independent sets of a graph \(G\)\, encodes surprisingly rich information about the Hilbert series of the corresponding edge ideal \(I(G)\). In particular\, I will explain how \(P_G(x)\) determines both the top coefficient and degree of the \(h\)-polynomial. I will then demonstrate the results through familiar examples and a simple suspension construction that lets us track these invariants cleanly. \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/edge-ideals-via-independence-polynomials-of-graphs-dalena-vien-bryn-mawr/
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: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
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DTSTART;TZID=America/Los_Angeles:20260930T161500
DTEND;TZID=America/Los_Angeles:20260930T171500
DTSTAMP:20260922T024752Z
CREATED:20260922T024752Z
LAST-MODIFIED:20260922T024752Z
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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
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