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X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20251006T161500
DTEND;TZID=America/Los_Angeles:20251006T171500
DTSTAMP:20260403T170626
CREATED:20251006T190122Z
LAST-MODIFIED:20251006T190122Z
UID:3881-1759767300-1759770900@colleges.claremont.edu
SUMMARY:Modeling drug release for in vitro experiments (Minaya Villasana De Armas\, Universidad Simon Bolivar)
DESCRIPTION:Abstract: It is common to use adjuvants in immunotherapeutic regimens to strengthen the immune response. However\, multiple dosages are required making it inconvenient for the patient. Hydrogels have been proposed as a vehicle to administer adjuvant and antigen in a sustained slow release thus reducing the need for re-administration. \nIn this instance\, we use experimental data for stability studies on two different thermosensitive pentablock hydrogels as well as release of three adjuvants suspended in the hydrogels or in PLGA nanoparticles. The goal is to model this release and provide a framework by which these models can describe the various release profiles efficiently. \n 
URL:https://colleges.claremont.edu/ccms/event/modeling-drug-release-for-in-vitro-experiments-minaya-villasana-de-armas-universidad-simon-bolivar/
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:20251007T121500
DTEND;TZID=America/Los_Angeles:20251007T131000
DTSTAMP:20260403T170626
CREATED:20250828T190015Z
LAST-MODIFIED:20250927T183316Z
UID:3800-1759839300-1759842600@colleges.claremont.edu
SUMMARY:The integer point transform as a complete invariant (Sinai Robins\, University of São Paulo\, Brazil)
DESCRIPTION:Given any finite set of integer points S\, there is an associated function f_S that encodes S\, which we call its integer point transform.   One can think of this integer point transform f_S algebraically or analytically.  Here we focus on its analytic properties\, showing that it is a complete invariant.   In fact\, we prove that it is only necessary to evaluate f_S at one algebraic point in order to uniquely determine the finite set S\, by employing the Lindemann-Weierstrass theorem.    Similarly\, we prove that it’s only necessary to evaluate the Fourier transform of a rational polytope P (as well as rational cones) at a single algebraic point\, in order to uniquely determine S.   Finally\, by relating the integer point transform to finite Fourier transforms\, we show that a finite number of integer point evaluations of f_S suffice in order to uniquely determine S.  
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sinai-robins-university-of-sao-paulo-brazil/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251010T110000
DTEND;TZID=America/Los_Angeles:20251010T121500
DTSTAMP:20260403T170626
CREATED:20250923T140917Z
LAST-MODIFIED:20251008T232409Z
UID:3860-1760094000-1760098500@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Sinai Robins (University of São Paulo - Brazil)
DESCRIPTION:CCMS Colloquium invites you to a talk by Sinai Robins (University of São Paulo – Brazil)\n\n \nTitle: An introduction to the geometry of numbers through the lens of analysis\n \n\nAbstract: We introduce the geometry of numbers\, beginning from the first principles\, and proceeding to modern research topics in the field. Our point of view includes Fourier analysis on compact sets and in particular on convex bodies. We give some recent extensions of previous results by C. L. Siegel\, and E. Bombieri\, both of whom extended Minkowski’s first theorem for convex\, centrally symmetric bodies. \nA discrete version of these results allows us to give some new formulations for finite sums of discrete covariograms\, for any finite set of integer points in Euclidean space. We’ll give visual examples\, with pictures\, of everything in dimension 2. On the other hand\, a continuous application of these results allows us to shed additional light on the enumeration of lattice points in polytopes in R^d\, and in particular some Ehrhart-type theory. This is joint work with Michel Faleiros. \n\n \nBio: Professor Sinai Robins completed his Ph.D. in Number Theory at UCLA. He has held tenured positions at Temple University and Nanyang Technological University and is currently a full professor at the University of São Paulo\, Brasil. Professor Robins enjoys tackling problems in Discrete Geometry\, Fourier Analysis\, Number Theory\, Combinatorial Optimization\, and Data Science. Some of his recent research is reflected in his new 2024 book\, called Fourier analysis on polytopes and the geometry of numbers: Part I\, a gentle introduction. This book offers a unique\, modern\, Fourier-analytic perspective on the geometry of numbers. It explores the relationship between geometric properties of a polytope and its Fourier transform\, provides new streamlined proofs of fundamental results\, and invites undergraduates to explore these important ideas.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-sinai-robins-university-of-sao-paulo-brazil/
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:20251017T110000
DTEND;TZID=America/Los_Angeles:20251017T121500
DTSTAMP:20260403T170626
CREATED:20250923T142244Z
LAST-MODIFIED:20251015T215610Z
UID:3867-1760698800-1760703300@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Fall break Panel
DESCRIPTION:Please join us for a career discussion with three great panelists: \nSireesh Vinnakota – Graduate Student at UCI \nLuke Trujillo – Senior Software Engineer at Operant AI \nMichelle Goodwin – Trader at Allspring Global Investments \n  \nThis will be a virtual meeting only. \nZoom link: https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fcmc-its.zoom.us%2Fj%2F83719659422&data=05%7C02%7Cluisa.gianuca%40cgu.edu%7C46994ae71bc5453cc6a908de0a886a47%7C19afb2c85efd4718a107530ed963d11e%7C0%7C0%7C638959778224324835%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=8pRyjqWBxWliFUf5ciI8doXyCYTzyIJ9NSrX6obEMwA%3D&reserved=0 \nMeeting ID: 837 1965 9422
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-fall-break-panel/
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251020T161500
DTEND;TZID=America/Los_Angeles:20251020T171500
DTSTAMP:20260403T170626
CREATED:20250829T230854Z
LAST-MODIFIED:20250902T231226Z
UID:3805-1760976900-1760980500@colleges.claremont.edu
SUMMARY:Some New Advances in Similarity-Based Predictive Modeling (Joel A. Dubin\, University of Waterloo)
DESCRIPTION:Abstract: Earlier work has shown that similarity-based predictive models can improve upon predictive performance\, as compared to using the entire training data to help build models\, particular regarding model discrimination for binary responses. My collaborators and I have some updated results to share\, regarding similarity-based modeling for joint consideration of model calibration and discrimination\, as well as for dynamic prediction models. Properties of our methods will be investigated in comprehensive simulation studies\, and we will demonstrate the methods through separate analyses of a publicly-available intensive care unit (ICU) database.
URL:https://colleges.claremont.edu/ccms/event/some-new-advances-in-similarity-based-predictive-modeling-joel-a-dubin-university-of-waterloo/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251021T121500
DTEND;TZID=America/Los_Angeles:20251021T131000
DTSTAMP:20260403T170626
CREATED:20250807T222137Z
LAST-MODIFIED:20251007T213217Z
UID:3777-1761048900-1761052200@colleges.claremont.edu
SUMMARY:Singularities in characteristic p and the Riemann–Hilbert correspondence (Robert Cass\, CMC)
DESCRIPTION:The Riemann–Hilbert correspondence relates algebra to differential equations on complex algebraic varieties. In characteristic p\, there is an analogous correspondence due to Emerton–Kisin and later generalized by Bhatt–Lurie\, where the derivative operator is replaced by the p-th power Frobenius operator. In this talk we will explain a relation between the mod p Riemann–Hilbert correspondence and the study of singularities of algebraic varieties in characteristic p. This talk is mostly about commutative algebra\, and we will introduce concepts such as local cohomology and perverse sheaves along the way. This is joint work with João Lourenço.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-robert-cass-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251021T160000
DTEND;TZID=America/Los_Angeles:20251021T170000
DTSTAMP:20260403T170626
CREATED:20250910T222206Z
LAST-MODIFIED:20251001T223838Z
UID:3826-1761062400-1761066000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Puttipong Pongtanapaisan (Pitzer College)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Puttipong Pongtanapaisan (Pitzer College) \nTitle: Special Positions of Shapes in Four-Dimensional Space \nAbstract: I will begin by convincing you that four-dimensional space is more familiar than it might first appear. Then\, I will introduce ways in which mathematicians study objects in 4-space. Each visualization method comes with its own advantages and limitations\, as well as a natural measure of complexity that captures how “knotted” a shape can be. Drawing from my work on several projects\, I will explain how these complexity measures connect to other areas of mathematics. For example\, placing surfaces in what we call a rainbow position reveals connections to symplectic geometry.
URL:https://colleges.claremont.edu/ccms/event/puttipong-pongtanapaisan-pitzer-college/
LOCATION:Fletcher 104\, Pitzer College\, 1050 N Mills Ave\, Claremont\, 91711\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251024T110000
DTEND;TZID=America/Los_Angeles:20251024T121500
DTSTAMP:20260403T170626
CREATED:20250923T141134Z
LAST-MODIFIED:20251023T215848Z
UID:3861-1761303600-1761308100@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Braxton Osting (University of Utah)
DESCRIPTION:CCMS Colloquium invites you to a talk by Braxton Osting (University of Utah)\n\n \nTitle: Blood pressure monitoring with biophysics-informed machine learning models\n\n \nAbstract: Measurement of blood pressure (BP) is essential for early diagnosis and management of hypertension\, a condition that 45% of US adults have and a risk factor for development of heart failure\, the leading cause of death in the US. Wearable technologies have the potential to transform BP monitoring by providing continuous assessments of cardiovascular health metrics and guiding clinical management. However\, existing cuffless wearable devices for BP monitoring often rely on methods lacking theoretical foundations\, such as pulse wave analysis or pulse arrival time\, making them vulnerable to physiological and experimental confounders that undermine their accuracy and clinical utility. We developed a smartwatch device with real-time electrical bioimpedance (BioZ) sensing for cuffless hemodynamic monitoring. We elucidate the biophysical relationship between BioZ and BP via a multiscale analytical and computational modeling framework\, and identify physiological\, anatomical\, and experimental parameters that influence the pulsatile BioZ signal at the wrist. A signal-tagged physics-informed neural network incorporating fluid dynamics principles enables calibration-free estimation of BP and radial and axial blood velocity. We successfully tested our approach with healthy individuals at rest and after physical activity including physical and autonomic challenges\, and with patients with hypertension and cardiovascular disease in outpatient and intensive care settings. Our findings demonstrate the feasibility of BioZ technology for cuffless BP and blood velocity monitoring\, addressing critical limitations of existing cuffless technologies.\n \nBio:  Braxton Osting is a Professor in the Department of Mathematics at the University of Utah where he works on mathematical challenges in the natural and applied sciences. He has broad interests in analytical and computational methods for problems in applied mathematics\, especially in optimization\, partial differential equations\, computational geometry\, and machine learning. \nAfter attending the University of Washington for his undergraduate studies\, Braxton earned a Ph.D. in Applied Mathematics at Columbia University. Before moving to Utah\, he was an NSF Postdoctoral Fellow in the Department of Mathematics at the University of California\, Los Angeles. \nIn his free time\, Braxton enjoys biking\, skiing\, running\, hiking\, and generally spending time outdoors. \n 
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-selim-esedoglu-university-of-michigan/
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:20251027T161500
DTEND;TZID=America/Los_Angeles:20251027T171500
DTSTAMP:20260403T170626
CREATED:20251006T191634Z
LAST-MODIFIED:20251006T191634Z
UID:3885-1761581700-1761585300@colleges.claremont.edu
SUMMARY:Estimating Shapley Values for Explainable AI via Richer Model Approximations (Teal Witter\, CMC)
DESCRIPTION:Abstract: Modern machine learning is ultimately a simple process: We iteratively update the weights of machine learning models to minimize a problem-specific loss. When it works well\, we deploy the model in human-facing domains like healthcare\, finance\, or the justice system. But even though we know how models are trained\, we don’t understand why they make decisions the decision they do. A particularly compelling approach to explaining AI predictions is the Shapley value\, a game-theoretic quantity that measures how each input to the model affects its output. Mathematically\, the ith Shapley value is the average change in the ith dimension of a particular function defined on the d-dimensional hypercube. Because the hypercube has 2^d points\, exactly computing Shapley values is infeasible. In this talk\, we will instead leverage algorithmic insights to develop state-of-the-art approximation methods.
URL:https://colleges.claremont.edu/ccms/event/estimating-shapley-values-for-explainable-ai-via-richer-model-approximations-teal-witter-cmc/
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:20251028T121500
DTEND;TZID=America/Los_Angeles:20251028T131000
DTSTAMP:20260403T170626
CREATED:20250813T050114Z
LAST-MODIFIED:20251023T042930Z
UID:3784-1761653700-1761657000@colleges.claremont.edu
SUMMARY:From sparsity of rational points on curves to the generic positivity of Beilinson-Bloch height (Ziyang Gao\, UCLA)
DESCRIPTION:It is a fundamental question to find rational solutions to a given system of polynomials\, and in modern language this translates into finding rational points in algebraic varieties.  It is already very deep for algebraic curves defined over Q.  An intrinsic natural number associated with the curve\, called its genus\, plays an important role in studying rational points on curves.  In 1983\, Faltings proved the famous Mordell Conjecture (proposed in 1922)\, which asserts that any curve of genus at least 2 has only finitely many rational points.  Thus the problem for curves of genus at least 2 can be divided into several grades: finiteness\, bound\, uniform bound\, effectiveness.  An answer to each grade requires a better understanding of the distribution of the rational points.\n\nIn my talk\, I will explain the historical and recent developments of this problem according to the different grades.  I will also mention a recent work (joint with Shouwu Zhang) about a generic positivity property and a Northcott property of the Beilison-Bloch height of the Gross-Schoen cycles and the Ceresa cycles.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-ziyang-gao-ucla/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251031T110000
DTEND;TZID=America/Los_Angeles:20251031T121500
DTSTAMP:20260403T170626
CREATED:20250923T141345Z
LAST-MODIFIED:20251030T024823Z
UID:3862-1761908400-1761912900@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Anna Ma (UCI)
DESCRIPTION:CCMS Colloquium invites you to a talk by Anna Ma (UCI)\n\n \nTitle: Stochastic iterative methods for solving tensor linear systems\n \nAbstract: Solving linear systems is a crucial subroutine and challenge in data science and scientific computing. Classical approaches for solving linear systems assume that data is readily available and small enough to be stored in memory. However\, in the large-scale data setting\, data may be so large that only partitions (e.g.\, single rows/columns of the matrix/tensor) can be utilized at a time. In this presentation\, we discuss the advantages and role of randomization in iterative methods for approximating the solution to large-scale linear systems. Time permitting\, we will also discuss our recent work on applications to solving systems involving higher-dimensional arrays\, or tensors. Unlike previously proposed randomized iterative strategies\, such as the tensor randomized Kaczmarz method (row slice method) or the tensor Gauss-Seidel method (column slice method)\, which are natural extensions of their matrix counterparts\, our approach delves into a distinct scenario utilizing frontal slice sketching.\n \nBio: Dr. Anna Ma is an Assistant Professor at UC Irvine in the Department of Mathematics. Prior to her position at UCI\, she was a Visiting Assistant Professor at UCI and a UC Chancellor’s Postdoctoral Fellow at UC San Diego in the Department of Mathematics. Her research interests are in randomized algorithms\, numerical linear algebra\, and the mathematics of data science. She is also interested in data visualization and unsupervised machine learning. Anna earned her BS in Mathematics at UC Los Angeles. She received her PhD in Computational Science from Claremont Graduate University and the Computational Science Research Center at San Diego State University\, where she studied the design and analysis of algorithms that solve problems involving large-scale data. \n 
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-anna-ma-uci/
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:20251101T100000
DTEND;TZID=America/Los_Angeles:20251101T115500
DTSTAMP:20260403T170626
CREATED:20251006T221917Z
LAST-MODIFIED:20251015T083012Z
UID:3886-1761991200-1761998100@colleges.claremont.edu
SUMMARY:GEMS November 1st Session
DESCRIPTION:This GEMS session will be facilitated by Grace Akinwande from the Claremont Graduate University.\n\n\nTitle: From Pizza to Calculus: Understanding Area Through Approximation\n\nAbstract: How much more pizza do you really get from a larger size? In this presentation\, we explore the concept of area starting from an everyday question—the pizza dilemma! We’ll review basic geometric areas and extend the idea to regions bounded by curves. Using simple rectangular approximations\, we’ll discover how increasing the number of rectangles improves accuracy and leads us naturally to the concept of limits. By connecting geometry\, algebra\, and reasoning\, this session illustrates how real-world problems can introduce fundamental ideas of calculus in a fun and intuitive way.
URL:https://colleges.claremont.edu/ccms/event/gems-november-1st-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:20251103T161500
DTEND;TZID=America/Los_Angeles:20251103T171500
DTSTAMP:20260403T170626
CREATED:20251021T180716Z
LAST-MODIFIED:20251021T180716Z
UID:3909-1762186500-1762190100@colleges.claremont.edu
SUMMARY:Convergence analysis of the Alternating Anderson-Picard method for nonlinear fixed-point problems (Xue Feng\, UCLA)
DESCRIPTION:Abstract: Anderson Acceleration (AA) has been widely used to solve nonlinear fixed-point problems due to its rapid convergence. This talk focuses on a variant of AA in which multiple Picard iterations are performed between each AA step\, referred to as the Alternating Anderson-Picard (AAP) method. Despite introducing more `slow’ Picard iterations\, this method has been demonstrated to be efficient and even more robust in both linear and nonlinear cases. However\, there is a lack of theoretical analysis for AAP in the nonlinear context. In this work\, we address this gap by establishing the equivalence between AAP and a multisecant-GMRES method that employs GMRES to solve a multisecant linear system at each iteration. From this perspective\, we show that AAP actually “converges” the well-known Newton-GMRES method. These connections also help us understand the convergence behavior of AAP\, especially the asymptotic convergence rate.
URL:https://colleges.claremont.edu/ccms/event/convergence-analysis-of-the-alternating-anderson-picard-method-for-nonlinear-fixed-point-problems-xue-feng-ucla/
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:20251104T121500
DTEND;TZID=America/Los_Angeles:20251104T131000
DTSTAMP:20260403T170626
CREATED:20250818T205450Z
LAST-MODIFIED:20250824T043204Z
UID:3793-1762258500-1762261800@colleges.claremont.edu
SUMMARY:Classifying possible density degree sets of hyperelliptic curves (Jasmine Camero\, Emory University)
DESCRIPTION:Let $C$ be a nice (smooth\, projective\, geometrically integral) curve over a number field $k$. The single most important geometric invariant of a curve is the genus\, which can control various arithmetic properties of a curve. A celebrated result of Faltings implies that all points on $C$ come in families of bounded degree\, with finitely many exceptions. This result symbolized an advancement in the study of arithmetic information about curves and serves as the guiding philosophy of arithmetic geometry by highlighting the idea that “geometry governs arithmetic.” We explore the behavior of parameterized points and deduce consequences for the arithmetic of hyperelliptic curves\, specifically focusing on classifying the density degree sets of such curves.
URL:https://colleges.claremont.edu/ccms/event/classifying-possible-density-degree-sets-of-hyperelliptic-curves-jasmine-camero-emory-university/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251104T160000
DTEND;TZID=America/Los_Angeles:20251104T170000
DTSTAMP:20260403T170626
CREATED:20250910T222316Z
LAST-MODIFIED:20251008T173035Z
UID:3829-1762272000-1762275600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Robert Cass (Claremont McKenna College)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Robert Cass (Claremont McKenna College) \nTitle: Schubert varieties are splinters \nAbstract: Schubert varieties are among the most well-studied singular algebraic varieties\, and they have numerous applications in combinatorics and representation theory. In positive characteristic\, Schubert varieties are known to be Frobenius split by the work of Mehta and Ramanathan. More recently\, Bhatt showed that the full flag variety for GL_n is a derived splinter by entirely different methods. In this talk\, we explain these concepts\, and we show how to generalize Bhatt’s result to all Schubert varieties. Our methods apply equally well to affine Schubert varieties\, which are of interest in number theory. This is joint work with João Lourenço.
URL:https://colleges.claremont.edu/ccms/event/robert-cass-claremont-mckenna-college/
LOCATION:Fletcher 104\, Pitzer College\, 1050 N Mills Ave\, Claremont\, 91711\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251107T110000
DTEND;TZID=America/Los_Angeles:20251107T121500
DTSTAMP:20260403T170626
CREATED:20250923T141522Z
LAST-MODIFIED:20251103T173924Z
UID:3864-1762513200-1762517700@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Jemma Lorenat (Pitzer)
DESCRIPTION:CCMS Colloquium invites you to a talk by Jemma Lorenat (Pitzer)\n\n \nTitle: Recognizing data: statistical literacies around 1900\n \nAbstract: This talk centers on the first (and perhaps only) doctorate in the theory of correlations\, granted by University College London in 1899 to Alice Lee. The production and reception of Lee’s research sheds light on the varieties of statistical literacies around 1900.\n \nBio: Jemma Lorenat is a historian of mathematics at Pitzer College. She spends a great deal of time thinking about the history and future of statistical literacies. She also loves conic sections and (some) other algebraic curves.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-jemma-lorenat-pitzer/
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:20251110T161500
DTEND;TZID=America/Los_Angeles:20251110T171500
DTSTAMP:20260403T170626
CREATED:20251006T190434Z
LAST-MODIFIED:20251006T223009Z
UID:3883-1762791300-1762794900@colleges.claremont.edu
SUMMARY:To Wait or Not to Wait? A Trade-off Between Population Externality and Signal Quality (Lan-Yi Liu\, National Taiwan University)
DESCRIPTION:Abstract: Transparency is vital for efficiency in social systems\, yet individuals with critical information often strategically postpone disclosure\, even when required\, to benefit themselves.\nTo study this behavior\, we introduce a multi-stage Chinese restaurant game with incomplete information that features system-recommended action rules and varying levels of player foresight. In our model\, players initially receive a suggestion to join a queueing group based on their private signal\, but can choose to switch groups. Following this\, players sequentially select a final resource\, balancing the desire to avoid congested externalities with the need to acquire more information.\nWe prove a closed-form solution for the players’ pure-strategy Nash equilibrium. Our key finding is that players with high-quality signals have no incentive to reveal their information to those with low-quality signals. This suggests that allowing players to strategically determine their decision timing\, without further system design\, leads to an inefficient equilibrium allocation.\nOur results on congested externalities and system suggestions help explain the inherent trade-off between information quality and decision timing in various real-world scenarios\, such as the challenges of vaccine distribution during a pandemic\, the strategic crowding of factory location selection\, and the decision-making faced by political candidates positioning themselves on the spectrum.
URL:https://colleges.claremont.edu/ccms/event/to-wait-or-not-to-wait-a-trade-off-between-population-externality-and-signal-quality-lan-yi-liu-harvey-mudd-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ryan Aschoff":MAILTO:ryan.aschoff@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251111T121500
DTEND;TZID=America/Los_Angeles:20251111T131000
DTSTAMP:20260403T170626
CREATED:20250827T221608Z
LAST-MODIFIED:20251022T171318Z
UID:3799-1762863300-1762866600@colleges.claremont.edu
SUMMARY:Elementary probability via bundles (Wai Yan Pong\, Cal State Dominguez Hills)
DESCRIPTION:This talk explores elementary probability and statistics through the language of category theory. We introduce a category of Bundles and use it to reinterpret several results typically covered in an introductory course on probability and statistics. This approach naturally reveals the underlying geometric structures common to these results. The talk is accessible to anyone familiar with linear algebra\, and we hope teachers of probability will find this perspective fresh and interesting.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-wai-yan-pong-cal-state-dominguez-hills-2/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251112T161500
DTEND;TZID=America/Los_Angeles:20251112T171500
DTSTAMP:20260403T170626
CREATED:20251021T163403Z
LAST-MODIFIED:20251021T163730Z
UID:3900-1762964100-1762967700@colleges.claremont.edu
SUMMARY:The 16th Atul Vyas Memorial Lecture in Mathematics (Teal Witter\, CMC)
DESCRIPTION:Atul Vyas was an outstanding CMC student who was majoring in Mathematics and Physics. He tragically lost his life in a train crash that occurred on September 12\, 2008 in Chatsworth\, California. The Mathematical Sciences Department at CMC fondly remembers Atul as someone who was equally excited by the power of mathematical abstraction and the possibilities for its applications. \nIn memory of Atul\, the CMC Mathematical Sciences Department hosts a yearly lecture series\, aimed at a general audience\, on the Creative Application of Abstract Mathematical Ideas. \nA brief reception will take place prior to the talk at 4:00 PM \nFor more details\, please see the attached Flyer \nSpeaker: R. Teal Witter\, Assistant Professor of Mathematical and Computer Science\, CMC \nTitle: Estimating Shapley Values for Explainable AI via Richer Model Approximations \nAbstract: Gradient descent is at the heart of modern machine learning: We iteratively update the weights of machine learning models to minimize a problem-specific loss. When it works well\, we deploy the model in human-facing domains like healthcare\, finance\, or the justice system. But even though we know how models are trained\, we don’t understand why they make the decisions they do. A particularly compelling approach to explaining AI predictions is the Shapley value\, a game-theoretic quantity that measures how each input to the model affects its output. Mathematically\, the i-th Shapley value is the average change in the i-th dimension of a particular function defined on the d-dimensional hypercube. Because the hypercube has 2^d points\, exactly computing Shapley values is infeasible. In this talk\, we will instead leverage algorithmic insights to develop state-of-the-art approximation methods.
URL:https://colleges.claremont.edu/ccms/event/the-16th-atul-vyas-memorial-lecture-in-mathematics/
LOCATION:Freeberg Forum\, LC 62\, Kravis Center\, CMC
CATEGORIES:Special Event
ORGANIZER;CN="Robert Cass":MAILTO:rcass@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251114T110000
DTEND;TZID=America/Los_Angeles:20251114T121500
DTSTAMP:20260403T170626
CREATED:20250923T141739Z
LAST-MODIFIED:20251112T013211Z
UID:3865-1763118000-1763122500@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Robert Sanchez (HMC)
DESCRIPTION:CCMS Colloquium invites you to a talk by Robert Sanchez (HMC)\n\n \nTitle: Tides: Under the Sea and Under the Ice\n \nAbstract: Physical oceanography is the study of ocean fluid dynamics (e.g.\, waves\, currents\, plumes\, turbulence). This talk will introduce physical oceanography and the methods used to analyze ocean data such as time-series analysis and numerical solutions to differential equations. We will use these methods to investigate the tidally driven waves in a glacial fjord. Data analysis and numerical modeling of the system suggest a surprising origin for the waves with potential consequences for the melting of glaciers.\n \nBio: Robert Sanchez is a new Assistant Professor at Harvey Mudd College with a joint appointment between the Mathematics Department and the Hixon Center for the Climate and Environment. Prior to Harvey Mudd\, he was an NSF Postdoc Scholar at the University of Florida and he received his PhD in Physical Oceanography from the Scripps Institution of Oceanography. \n 
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-robert-sanchez-hmc/
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:20251117T161500
DTEND;TZID=America/Los_Angeles:20251117T171500
DTSTAMP:20260403T170626
CREATED:20251111T194006Z
LAST-MODIFIED:20251111T194015Z
UID:3924-1763396100-1763399700@colleges.claremont.edu
SUMMARY:A Signal Separation View of Classification (Ryan O'Dowd\, CGU)
DESCRIPTION:Abstract: The problem of classification in machine learning has often been approached in terms of function approximation. In this talk\, we propose an alternative approach for classification in arbitrary compact metric spaces which\, in theory\, yields both the number of classes\, and a perfect classification using a minimal number of queried labels. Our approach uses localized trigonometric polynomial kernels initially developed for the point source signal separation problem in signal processing. Rather than point sources\, we examine a convex combination of probability distributions representing the various classes from the machine learning classification problem. The localized kernel technique developed for separating point sources is then shown to separate the supports of these distributions. This is done in a hierarchical manner in our MASC algorithm to accommodate touching/overlapping class boundaries. The algorithm works in an active learning paradigm\, deciding on points to query for their true class label and extending those labels to nearby points. We illustrate our theory on several simulated and real life data sets\, including the Salinas and Indian Pines hyperspectral data sets and a document data set.
URL:https://colleges.claremont.edu/ccms/event/a-signal-separation-view-of-classification-ryan-odowd-cgu/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, 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:20251118T121500
DTEND;TZID=America/Los_Angeles:20251118T131000
DTSTAMP:20260403T170626
CREATED:20250808T232856Z
LAST-MODIFIED:20251113T200129Z
UID:3779-1763468100-1763471400@colleges.claremont.edu
SUMMARY:Non-vanishing of L-functions over function fields (Alexandra Florea\, UC Irvine)
DESCRIPTION:I will talk about some results concerning the non-vanishing of $L$-functions associated to fixed order characters $\ell$ at the central point over functions fields. Quadratic characters have been studied a lot over the years\, and very good non-vanishing results are available in this case\, due to work of Soundararajan. When focusing on cubic and higher order characters\, much less is known. In this talk\, I will explain how one can obtain a positive proportion of non-vanishing for any fixed order $\ell$ characters\, which goes to $0$ as $\ell$ goes to infinity. This is based on joint work with C. David and M. Lalin.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-alexandra-florea-uc-irvine/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251118T160000
DTEND;TZID=America/Los_Angeles:20251118T170000
DTSTAMP:20260403T170626
CREATED:20250917T201310Z
LAST-MODIFIED:20251114T165324Z
UID:3842-1763481600-1763485200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Chris Grossack (UC Riverside)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Chris Grossack (UC Riverside) \nTitle: Explicitly Computing Fukaya Categories of Surfaces \nAbstract: Fukaya categories are rich and interesting invariants of symplectic manifolds that are often difficult to compute in practice. In the case of surfaces\, however\, the computation becomes pleasantly combinatorial\, and can be carried out explicitly. In this expository talk we’ll explain why one might care about Fukaya categories and how one can compute them explicitly enough for computer implementation using tools from “Noncommutative Mirror Symmetry”. With any remaining time\, we’ll explain the ideas behind the speaker’s PhD thesis\, which relies heavily on this machinery.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-chris-grossack-uc-riverside/
LOCATION:Fletcher 104\, Pitzer College\, 1050 N Mills Ave\, Claremont\, 91711\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251121T110000
DTEND;TZID=America/Los_Angeles:20251121T121500
DTSTAMP:20260403T170626
CREATED:20250923T141914Z
LAST-MODIFIED:20251119T170700Z
UID:3866-1763722800-1763727300@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Shriya Nagpal (Pitzer)
DESCRIPTION:CCMS Colloquium invites you to a talk by Shriya Nagpal (Pitzer)\n\n \nTitle: Synchronization in Erdős–Rényi Graphs with Kuramoto Dynamics: A Graphon Approach\n \nAbstract: Networks of coupled Kuramoto oscillators have been used to model a wide array of phenomena\, including circadian rhythms\, flashing fireflies\, and high-voltage electric grids. In many such applications\, synchronization is an emergent behavior of interest. Recent work has focused on understanding synchronization in random networks of Kuramoto oscillators. We contribute to this literature\, by considering interaction networks generated by a graphon model known as a $W$-random network\, and examine the dynamics of an infinite number of identical ​ Kuramoto oscillators. We show that with sufficient regularity on $W$\, the solution to the dynamical system over a $W$-random network of size $n$ converges to the solution of the infinite graphon system\, with high probability as $n\rightarrow\infty$. We leverage this convergence result to study synchronization for identical Kuramoto oscillators on Erd\H{o}s-R\’enyi random graphs.\n \nBio: Shriya V. Nagpal is an Assistant Professor of Mathematics at Pitzer College. In 2024\, she completed her Ph.D. in Applied Mathematics at Cornell University\, where she was co-advised by Francesca Parise and Lindsay Anderson. Prior to joining Cornell in 2018\, she received her bachelor’s degree in Mathematics from Trinity College. Her research leverages tools from network theory and dynamical systems to study emergent behavior in interconnected systems.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-shriya-nagpal-pitzer/
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:20251128T110000
DTEND;TZID=America/Los_Angeles:20251128T121500
DTSTAMP:20260403T170626
CREATED:20250923T142737Z
LAST-MODIFIED:20250923T142753Z
UID:3869-1764327600-1764332100@colleges.claremont.edu
SUMMARY:NO CCMS Colloquium this Friday!
DESCRIPTION:We’ll be back next week! \nHappy Thanksgiving!
URL:https://colleges.claremont.edu/ccms/event/no-ccms-colloquium-this-friday/
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:20251201T161500
DTEND;TZID=America/Los_Angeles:20251201T171500
DTSTAMP:20260403T170626
CREATED:20251126T233248Z
LAST-MODIFIED:20251126T233248Z
UID:3935-1764605700-1764609300@colleges.claremont.edu
SUMMARY:Structure-Aware Adaptive Nonconvex Optimization for Deep Learning and Scientific Computing (Minxin Zhang\, UCLA)
DESCRIPTION:Abstract: Modern machine learning and scientific computing pose optimization challenges of unprecedented scale and complexity\, demanding fundamental advances in both theory and algorithmic design for nonconvex optimization. This talk presents recent advances that address these challenges by exploiting matrix and tensor structures\, integrating adaptivity\, and leveraging sampling techniques. In the first part\, I introduce AdaGO\, a new optimizer that combines orthogonalized momentum updates with adaptive learning rates. Building on the recent success of the Muon optimizer in large language model training\, AdaGO incorporates an AdaGrad-type stepsize that scales orthogonalized update directions by accumulated past gradient norms. This design preserves the structural advantage of orthogonalized updates while adapting stepsizes to noise and the optimization landscape. We establish optimal convergence rates for smooth nonconvex functions and demonstrate improved performance over Muon and Adam on classification and regression tasks. The second part focuses on zeroth-order global optimization. We develop a theoretical framework for inexact proximal point (IPP) methods for global optimization\, establishing convergence guarantees when proximal operators are estimated either deterministically or stochastically. The quadratic regularization in the proximal operator induces a concentrated Gibbs measure landscape that facilitates effective sampling. We propose two sampling-based algorithms: TT-IPP\, which constructs a low-rank tensor-train (TT) approximation using a randomized TT-cross algorithm\, and MC-IPP\, which employs Monte Carlo integration. Both IPP algorithms adaptively balance efficiency and accuracy in proximal operator estimation\, achieving strong performance across diverse benchmark functions and applications. Together\, these works advance structure-aware adaptive first-order optimization for deep learning and zeroth-order global optimization in scientific computing.
URL:https://colleges.claremont.edu/ccms/event/structure-aware-adaptive-nonconvex-optimization-for-deep-learning-and-scientific-computing-minxin-zhang-ucla/
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:20251202T121500
DTEND;TZID=America/Los_Angeles:20251202T131000
DTSTAMP:20260403T170626
CREATED:20250808T202734Z
LAST-MODIFIED:20251120T202437Z
UID:3778-1764677700-1764681000@colleges.claremont.edu
SUMMARY:Positivity aspects of complete homogeneous symmetric polynomials (Stephan Garcia\, Pomona)
DESCRIPTION:Hunter’s theorem ensures that the complete homogeneous symmetric (CHS) polynomials of even degree are positive definite functions.  We provide new proofs of Hunter’s theorem\, applications to operator theory\, and a noncommutative (NC) generalization that sheds light even on the commutative case.  Surprisingly\, this work emerged from a problem in analytic combinatorics.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-stephan-garcia-pomona-2/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251202T160000
DTEND;TZID=America/Los_Angeles:20251202T170000
DTSTAMP:20260403T170626
CREATED:20250917T202344Z
LAST-MODIFIED:20251112T013717Z
UID:3845-1764691200-1764694800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Indraneel Tambe (UCLA)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Indraneel Tambe (UCLA) \nTitle: Steinberg skein relations at roots of unity \nAbstract: This talk discusses some of the relationships between skein theory and the representation theory of quantum sl2 when q is a root of unity. Specifically\, I focus on the Frobenius pullback functor on Uq sl2 representations and see how this relates to Bonahon-Wong’s Frobenius skein homomorphism between Kauffman bracket skein modules. I’ll describe results from my joint work with Vijay Higgins in which we proved what we called Steinberg skein identities and used these in a new proof of the well-definition of the Frobenius skein homomorphism.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-ko-honda-ucla/
LOCATION:Fletcher 104\, Pitzer College\, 1050 N Mills Ave\, Claremont\, 91711\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251205T110000
DTEND;TZID=America/Los_Angeles:20251205T121500
DTSTAMP:20260403T170627
CREATED:20250923T142446Z
LAST-MODIFIED:20251205T155429Z
UID:3868-1764932400-1764936900@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Konstantin Zuev (Caltech)
DESCRIPTION:CCMS Colloquium invites you to a talk by Konstantin Zuev (Caltech)\n\n \nTitle: Course-Prerequisite Networks\n \nAbstract: An academic curriculum is a complex system of courses and their interactions that lies at the heart of an academic institution and underlies its educational mission. Understanding these systems is essential for providing high-quality education. Course-prerequisite networks (CPNs) are directed acyclic graphs that model academic curricula by representing courses as nodes and prerequisite relationships between them as directed links. In this talk\, we will show how CPNs can be used to visualize\, analyze\, and optimize curricula; identify key courses; allocate teaching resources; quantify the strength of knowledge flow between departments; and uncover the most influential and interdisciplinary areas of study. The proposed methodology applies to any CPN and is illustrated using a network of courses taught at the California Institute of Technology. If time permits\, we will also discuss three new global CPN measures\, breadth\, depth\, and flux\, which enable macro-scale comparisons of different curricula. We illustrate these measures numerically using three real and synthetic CPNs from the Cyprus University of Technology\, the California Institute of Technology\, and Johns Hopkins University.\n \nBio: Dr. Konstantin Zuev is a Teaching Professor of Computing and Mathematical Sciences at the California Institute of Technology\, where he teaches a variety of courses in mathematics and statistics and conducts research on network science with undergraduate students. He is the author of about 30 papers and a forthcoming book\, Fundamentals of Statistical Inference: Foundations of Data Analysis. His teaching and research have been recognized with several awards: the ASCIT Teaching Award (2018 & 2023)\, the Carver Mead Seed Fund Grant (2023)\, the Graduate Student Council Teaching Award (2023)\, the Humboldt Research Fellowship for Experienced Researchers (2021)\, and the Northrop Grumman Prize for Excellence in Teaching (2019). For more information about his background\, please visit http://www.its.caltech.edu/~zuev/index.html
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-konstantin-zuev-caltech/
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:20251206T100000
DTEND;TZID=America/Los_Angeles:20251206T115500
DTSTAMP:20260403T170627
CREATED:20251105T044832Z
LAST-MODIFIED:20251106T214405Z
UID:3919-1765015200-1765022100@colleges.claremont.edu
SUMMARY:GEMS December 6th Session
DESCRIPTION:This GEMS session will be facilitated by Professor Ryan Aschoff from the Claremont Graduate University.\n\n\nTitle: Randomness: Creating Order from Chaos\n\nAbstract: \nFrom the hiss of white noise to the gentle hum of ocean waves\, randomness surrounds us — yet hidden within that chaos lies remarkable order. In this talk\, we’ll explore how unpredictable events\, when viewed collectively\, give rise to smooth and universal patterns. We’ll listen to and visualize the “colors” of noise — white\, pink\, and brown — to see how sound encodes randomness across different frequencies. We’ll discover how unrelated random events\, like coin flips or marble drops\, merge into beautifully predictable bell-shaped distributions. And we’ll watch how diffusion and blurring transform disorder into structure\, revealing the same mathematics behind sound\, heat\, and motion.\n\nAlong the way\, we’ll take part in hands-on activities: generating and analyzing noise spectra\, building simple low-pass “smoothing” filters\, and experimenting with diffusion and random walks to watch chaos become order before our eyes. No advanced math required — just curiosity and a willingness to play with randomness!
URL:https://colleges.claremont.edu/ccms/event/gems-december-6th-session/
LOCATION:Shanahan B450\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, 91711\, United States
CATEGORIES:GEMS
END:VEVENT
END:VCALENDAR