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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210324T161500
DTEND;TZID=America/Los_Angeles:20210324T173000
DTSTAMP:20260404T122029
CREATED:20210204T004055Z
LAST-MODIFIED:20210312T000436Z
UID:2170-1616602500-1616607000@colleges.claremont.edu
SUMMARY:Our muscles aren't one-dimensional fibres (Prof. Nilima Nigam)
DESCRIPTION:Title: Our muscles aren’t one-dimensional fibres. \nAbstract: Skeletal muscles possess rather amazing mechanical properties. They possess an intricate structure\, and behave nonlinearly in response to mechanical stresses.  In the 1910s\,  A.V. Hill observed muscles heat when they contract\, but not when they relax.  Based on experiments on frogs he posited a mathematical description of skeletal muscles which approximated muscle as a 1-dimensional nonlinear and massless spring. This has been a remarkably successful model\, and remains in wide use. Recently\, we’ve realized that skeletal muscle is three dimensional\, has mass\, and fairly complicated structure. I’ll present some work on a mathematical model which captures some of this complexity. \nDr. Nilima Nigam is Professor at Simon Fraser University.
URL:https://colleges.claremont.edu/ccms/event/nilima-nigam/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210329T150000
DTEND;TZID=America/Los_Angeles:20210329T160000
DTSTAMP:20260404T122029
CREATED:20210113T011843Z
LAST-MODIFIED:20210325T164523Z
UID:2115-1617030000-1617033600@colleges.claremont.edu
SUMMARY:Applied math. talk: Hyperbolicity-Preserving Stochastic Galerkin Method for Shallow Water Equations by  Dihan Dai\, Department of Mathematics\, University of Utah
DESCRIPTION:Abstract: The system of shallow water equations and related models are\nwidely used in oceanography to model hazardous phenomena such as tsunamis\nand storm surges. Unfortunately\, the inherent uncertainties in the system\nwill inevitably damage the credibility of decision-making based on the\ndeterministic model. The stochastic Galerkin (SG) method seeks a solution\nby applying the Galerkin method to the stochastic domain of the equations\nwith uncertainty. However\, the resulting system may fail to preserve the\nhyperbolicity of the original model. In this talk\, we will discuss a\nstrategy to preserve the hyperbolicity of the stochastic systems. We will\nalso discuss a well-balanced hyperbolicity-preserving central-upwind\nscheme for the random shallow water equations and illustrate the\neffectiveness of our schemes on some challenging numerical tests.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-dihan-dai-department-of-mathematics-university-of-utah/
LOCATION:Zoom meeting\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210331T161500
DTEND;TZID=America/Los_Angeles:20210331T173000
DTSTAMP:20260404T122029
CREATED:20210204T004224Z
LAST-MODIFIED:20210312T000546Z
UID:2172-1617207300-1617211800@colleges.claremont.edu
SUMMARY:An ideal convergence: an example in noncommutative metric geometry (Prof. Konrad Aguilar)
DESCRIPTION:Title: An ideal convergence: an example in noncommutative metric geometry \nAbstract:  \nThe ability to calculate the distance between sets (rather than just distance between points) has found applications in geometry and group theory as well as various branches of applied mathematics. The Hausdorff distance and the Gromov-Hausdorff distance are standard distances used in these applications. Moreover\, a certain generalization of the Gromov-Hausdorff distance called the quantum Gromov-Hausdorff distance was built by M. A. Rieffel to answer some questions from physics about operator algebras\, which are generalizations of algebras of complex-valued square matrices. In another direction\, J.M.G. Fell introduced a notion of convergence of ideals of a given operator algebra. Can the quantum Gromov-Hausdorff distance also be used to establish convergence of the associated quotient algebras? We discuss this for certain operator algebras called approximately finite-dimensional (AF) C*-algebras\, which can be represented by infinite graphs called Bratteli diagrams where the ideals and quotients are represented by subgraphs. It is the movement of the quotient graphs with respect to the ideal graphs that motivates our question and its answer. The main example we discuss will be given by graph representations of irrational numbers built by their associated continued fractions.  (This talk contains joint work with Samantha Brooker\, Frédéric Latrémolière\, and Alejandra López). \nProfessor Konrad Aguilar is Assistant Professor at Pomona College.
URL:https://colleges.claremont.edu/ccms/event/konrad-aguilar/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210407T161500
DTEND;TZID=America/Los_Angeles:20210407T173000
DTSTAMP:20260404T122029
CREATED:20210204T004426Z
LAST-MODIFIED:20210324T171332Z
UID:2174-1617812100-1617816600@colleges.claremont.edu
SUMMARY:Alexandria Volkening
DESCRIPTION:Title:\nHow do zebrafish get their stripes — or spots? \nAbstract:\nMany natural and social systems involve individual agents coming together to create group dynamics\, whether the agents are drivers in a traffic jam\, voters in an election\, or locusts in a swarm. Self-organization also occurs at much smaller scales in biology\, though\, and here I will focus on elucidating how brightly colored cells interact to form skin patterns in fish. Because they are surprisingly similar to humans genetically\, we will investigate zebrafish\, which are named for their dark and light stripes. Mutant zebrafish\, on the other hand\, feature variable skin patterns\, including spots and labyrinth curves. All these patterns form as the fish grow due to the interactions of tens of thousands of pigment cells. This leads to the question: how do mutations change cell behavior to create spotted zebrafish? In this talk\, we will combine different modeling approaches (including agent-based and continuum) and topological data analysis to help shed light on this question. More broadly\, we will explore how a combination of biological and mathematical approaches are being used to better understand how genes\, cell behavior\, and visible animal characteristics are related in fish. \nDr. Volkening is an NSF-Simons Fellow at the NSF-Simons Center for Quantitative Biology at Northwestern University
URL:https://colleges.claremont.edu/ccms/event/alexandria-volkening/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210412T150000
DTEND;TZID=America/Los_Angeles:20210412T160000
DTSTAMP:20260404T122029
CREATED:20210112T180713Z
LAST-MODIFIED:20210406T193121Z
UID:2110-1618239600-1618243200@colleges.claremont.edu
SUMMARY:Applied math. talk:  Large Eddy Simulation Reduced Order Models  by Traian Iliescu\, Virginia Tech
DESCRIPTION:In this talk\, we present reduced order models (ROMs) for turbulent flows\,\nwhich are constructed by using ideas from large eddy simulation (LES) and\nvariational multiscale (VMS) methods.  First\, we give a\ngeneral introduction to reduced order modeling and emphasize the\nconnection to classical Galerkin methods (e.g.\, the finite element method)\nand the central role played by data.  Then\, we describe the closure\nproblem\, which represents one of the main obstacles in the development of\nROMs for realistic\, turbulent flows.  To tackle the ROM closure problem\,\nwe use ROM spatial filters (e.g.\, the ROM projection and the ROM\ndifferential filter) and build new LES-ROMs that capture the large scale\nROM features and model the interaction between these large scales and the\nsmall scale ROM features. Finally\, we present results for these LES-ROMs\nin the numerical simulation of\nunder-resolved engineering flows (e.g.\, flow past a cylinder and\nturbulent channel flow) and the quasi-geostrophic equations (which model\nthe large scale ocean circulation).
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-traian-iliescu-virginia-tech/
LOCATION:Zoom meeting\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210414T161500
DTEND;TZID=America/Los_Angeles:20210414T173000
DTSTAMP:20260404T122029
CREATED:20210204T004536Z
LAST-MODIFIED:20210326T180738Z
UID:2176-1618416900-1618421400@colleges.claremont.edu
SUMMARY:Jennifer Taback
DESCRIPTION:Title: Groups\, Graphs and Trees \nAbstract: What do we mean by the geometry of a group?  Groups seem like very abstract objects when we first study them\, and it’s natural to ask whether we can visualize them in some way.  Given a group with a finite set of generators and relators\, I will describe a canonical way to construct a geometric model of that group\, called a Cayley graph.  We will see many examples — both standard and unusual — and I will discuss some fundamental questions from the field of geometric group theory\, including whether this geometric model is well defined. One goal of this field of mathematics is to use the geometry of a group to provide insight into its algebraic structure\, and to use the algebraic properties of a group to draw conclusions about its geometry.  This will be a very visual talk\, involving many examples of groups\, graphs\, and trees. \nDr. Jennifer Taback is Isaac Henry Wing Professor and Chair of the Mathematics Department at Bowdoin College.
URL:https://colleges.claremont.edu/ccms/event/jennifer-taback/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210419T150000
DTEND;TZID=America/Los_Angeles:20210419T160000
DTSTAMP:20260404T122029
CREATED:20210112T180844Z
LAST-MODIFIED:20210417T022158Z
UID:2112-1618844400-1618848000@colleges.claremont.edu
SUMMARY:Applied math. talk: Adversarially robust classification via geometric flows\,  by  Ryan Murray\, North Caroline State University
DESCRIPTION:Abstract: Classification is a fundamental task in data science and machine learning\, and in the past ten years there have been significant improvements on classification tasks (e.g. via deep learning). However\, recently there have been a number of works demonstrating that these improved algorithms can be “fooled” using specially constructed adversarial examples. In turn\, there has been increased attention given to creating machine learning algorithms which are more robust against adversarial attacks. In this talk I will describe a recently proposed framework for optimal adversarial robustness which is related to optimal transportation. I will then discuss some recent work\, with Nicolas Garcia Trillos\, which characterizes solutions of the optimal adversarial robust classification problem by using a geometric evolution equation. Surprisingly\, this geometric evolution equation asymptotically takes the form of a weighted mean curvature flow\, which suggests new analytical and computational approaches to the problem. I will also discuss a number of related open questions.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-ryan-murray-north-caroline-state-university/
LOCATION:Zoom meeting\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210421T161500
DTEND;TZID=America/Los_Angeles:20210421T173000
DTSTAMP:20260404T122029
CREATED:20210204T004641Z
LAST-MODIFIED:20210418T004801Z
UID:2178-1619021700-1619026200@colleges.claremont.edu
SUMMARY:Haydee Lindo
DESCRIPTION:Title: Trace Ideals and Endomorphism Rings \nAbstract: In many branches of mathematics\, the full set of “functions” between two objects exhibits remarkable structure; it often forms a group and in some special cases it forms a ring.  In this talk\, we will discuss this phenomenon in Commutative Algebra.  In particular\, we will talk about the endomorphism ring formed by the homomorphisms from a module to itself by first looking at commuting square matrices.  I’ll also introduce the trace ideal and explain its role in the question “What properties of a module does its endomorphism ring detect?” \nDr. Lindo is Assistant Professor at Harvey Mudd College.
URL:https://colleges.claremont.edu/ccms/event/haydee-lindo/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210426T150000
DTEND;TZID=America/Los_Angeles:20210426T160000
DTSTAMP:20260404T122029
CREATED:20210128T180721Z
LAST-MODIFIED:20210426T165641Z
UID:2155-1619449200-1619452800@colleges.claremont.edu
SUMMARY:Applied Math. Talk:  Balancing Geometry and Density:  Path Distances on High-Dimensional Data by Anna Little\, University of Utah
DESCRIPTION: Abstract: This talk discusses multiple methods for clustering\nhigh-dimensional data\, and explores the delicate balance between utilizing\ndata density and data geometry. I will first present path-based spectral\nclustering\, a novel approach which combines a density-based metric with\ngraph-based clustering. This density-based path metric allows for fast\nalgorithms and strong theoretical guarantees when clusters concentrate\naround low-dimensional sets. However\, the method suffers from a loss of\ngeometric information\, information which is preserved by simple linear\ndimension reduction methods such as classic multidimensional scaling\n(CMDS). The second part of the talk will explore when CMDS followed by a\nsimple clustering algorithm can exactly recover all cluster labels with\nhigh probability. However\, scaling conditions become increasingly\nrestrictive as the ambient dimension increases\, and the method will fail\nfor irregularly shaped clusters. Finally\, I will discuss how a more\ngeneral family of path metrics\, when combined with CMDS\, give\nlow-dimensional embeddings which respect both data density and data\ngeometry. This new method exhibits promising performance on single cell\nRNA sequence data and can be computed efficiently by restriction to a\nsparse graph.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-anna-little-university-of-utah/
LOCATION:Zoom meeting\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210428T161500
DTEND;TZID=America/Los_Angeles:20210428T173000
DTSTAMP:20260404T122029
CREATED:20210204T004751Z
LAST-MODIFIED:20210406T011522Z
UID:2180-1619626500-1619631000@colleges.claremont.edu
SUMMARY:Jennifer Franko Vasquez
DESCRIPTION:Title: Puzzling Permutations \nAbstract: Permutations are one of the most fundamental notions in mathematics. In this talk\, we will discuss a visual representation of permutations and introduce some games one can play to help “see” different properties.  These puzzling games can be used to provide insight into deeper mathematical content as well.  Time permitting\, we will explore connections to topology and biology.  This talk is based on joint work with Steven Dougherty and Michael Allocca.   \nDr. Vasquez is a Professor of Mathematics at the University of Scranton.
URL:https://colleges.claremont.edu/ccms/event/jennifer-franko-vasquez/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210831T123000
DTEND;TZID=America/Los_Angeles:20210831T132000
DTSTAMP:20260404T122029
CREATED:20210823T222615Z
LAST-MODIFIED:20210829T182033Z
UID:2216-1630413000-1630416000@colleges.claremont.edu
SUMMARY:Representing integers by multilinear polynomials (Lenny Fukshansky\, CMC)
DESCRIPTION:Given a homogeneous multilinear polynomial F(x) in n variables with integer coefficients\, we obtain some sufficient conditions for it to represent all the integers. Further\, we derive effective results\, establishing bounds on the size of a solution x to the equation F(x) = b\, where b is any integer. For a special class of polynomials coming from determinants of rectangular matrices we are able to obtain necessary and sufficient conditions for such an effective representation problem. This result naturally connects to the problem of extending a collection of primitive vectors to a basis in a lattice\, where we present counting estimates on the number of such extensions. Equivalently\, this can be described as the number of ways a rectangular integer matrix can be extended to a matrix in GL_n(Z)\, when such extensions are possible. The talk is based on joint works with A. Boettcher and with M. Forst.
URL:https://colleges.claremont.edu/ccms/event/representing-integers-by-multilinear-polynomials-lenny-fukshansky-cmc/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210907T123000
DTEND;TZID=America/Los_Angeles:20210907T132000
DTSTAMP:20260404T122029
CREATED:20210823T221435Z
LAST-MODIFIED:20210830T213551Z
UID:2214-1631017800-1631020800@colleges.claremont.edu
SUMMARY:Region colorings in knot theory (Sam Nelson\, CMC)
DESCRIPTION:In this talk we will survey recent developments in the use of ternary algebraic structures known as Niebrzydowski Tribrackets in defining invariants of knots\, with some perhaps surprising applications.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-sam-nelson-cmc/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210914T123000
DTEND;TZID=America/Los_Angeles:20210914T132000
DTSTAMP:20260404T122029
CREATED:20210822T191624Z
LAST-MODIFIED:20210829T182323Z
UID:2208-1631622600-1631625600@colleges.claremont.edu
SUMMARY:On Hermite's problem\, Jacobi-Perron type algorithms\, and Dirichlet groups (Oleg Karpenkov\, Liverpool)
DESCRIPTION:In this talk we introduce a new modification of the Jacobi-Perron algorithm in the three dimensional case. This algorithm is periodic for the case of totally-real conjugate cubic vectors. To the best of our knowledge this is the first Jacobi-Perron type algorithm for which the cubic periodicity is proven. This provides an answer in the totally-real case to the question of algebraic periodicity for cubic irrationalities posed in 1848 by Ch.Hermite. \nWe will briefly discuss a new approach which is based on geometry of numbers. In addition we point out one important application of Jacobi-Perron type algorithms to the computation of independent elements in the maximal groups of commuting matrices of algebraic irrationalities.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-pavel-guerzhoy-university-of-hawaii/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210915T163000
DTEND;TZID=America/Los_Angeles:20210915T174500
DTSTAMP:20260404T122029
CREATED:20210831T233907Z
LAST-MODIFIED:20210907T223233Z
UID:2274-1631723400-1631727900@colleges.claremont.edu
SUMMARY:Topic Models\, Methods\, and Medicine (Prof. Jamie Haddock)
DESCRIPTION:Title: Topic Models\, Methods\, and Medicine \nSpeaker: Prof. Jamie Haddock (Harvey Mudd College) \nAbstract: There is currently an unprecedented demand for efficient\, quantitative\, and interpretable methods to study large-scale (often multi-modal) data. One key area of interest is that of topic modeling\, which seeks to automatically learn latent trends or topics of complex data sets\, providing practitioners a view of what is “going on” inside their data. This talk will survey several new tools for topic modeling on matrix and tensor data which allow for use of various forms of supervision and which learn hierarchical structure amongst topics.  These tools are of interest across the many fields and industries producing\, capturing\, and analyzing big data\, but are of particular interest in applications where expert supervision is available and often essential (e.g.\, medicine).  We will describe two applications of these methods to medical data; an application to a large-scale patient survey database and an ongoing application to cardiovascular imaging data. \n  \nProf. Jamie Haddock is an Assistant Professor in the Mathematics Department at Harvey Mudd College
URL:https://colleges.claremont.edu/ccms/event/jamie-haddock-harvey-mudd-college/
LOCATION:Zoom meeting\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210920T161500
DTEND;TZID=America/Los_Angeles:20210920T171500
DTSTAMP:20260404T122029
CREATED:20210903T174347Z
LAST-MODIFIED:20210919T211719Z
UID:2290-1632154500-1632158100@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Phil Chodrow (UCLA)
DESCRIPTION:Title: Eigenvector Methods for Community Detection in Hypergraphs \nAbstract: \n\n\nHypergraphs are generalizations of graphs in which edges are allowed to contain arbitrary numbers of nodes. Hypergraphs are well-suited for modeling complex data sets with multi-body interactions. Familiar examples include email threads with multiple participants\, projects with multiple collaborators\, and forum posts with multiple tags. \nThe hypergraph community detection problem asks us to find groups of related or similar entities in hypergraph data. While there are many approaches to this problem\, I’ll focus on methods that rely on matrix eigenvectors. I’ll give a quick illustration of how eigenvector methods work in the graph case\, and explain the roadblocks to extending these standard methods for hypergraphs. I’ll then describe the Hashimoto operator\, a matrix that smoothly generalizes for hypergraphs. I’ll present a theorem for speeding up eigenvector calculations with this matrix\, and discuss detection algorithms that use these eigenvectors. I’ll touch on the relationship between the Hashimoto operator and belief-propagation for statistical inference\, using this relationship to obtain a performant hypergraph community detection algorithm. I’ll discuss the phase transition separating success from failure for this detection algorithm. I’ll close by posing some conjectures on the fundamental limits of community detection in hypergraphs.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-phil-chodrow-ucla/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210921T123000
DTEND;TZID=America/Los_Angeles:20210921T131000
DTSTAMP:20260404T122029
CREATED:20210831T205637Z
LAST-MODIFIED:20210906T215314Z
UID:2272-1632227400-1632229800@colleges.claremont.edu
SUMMARY:The magic of the number three: three explanatory proofs in abstract algebra (Gizem Karaali\, Pomona)
DESCRIPTION:When first learning how to write mathematical proofs\, it is often easier for students to work with statements using the universal quantifier. Results that single out special cases might initially come across as more puzzling or even mysterious. Explanatory proofs\, in the sense of Steiner\, transform what might initially seem mysterious or even magical into lucid mathematics. In this talk we explore three specific statements from abstract algebra that involve the number three\, whose proofs are explanatory. This is joint work with Samuel Yih PO’18.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-gizem-karaali-pomona/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210921T150000
DTEND;TZID=America/Los_Angeles:20210921T160000
DTSTAMP:20260404T122029
CREATED:20210914T225152Z
LAST-MODIFIED:20210914T225937Z
UID:2338-1632236400-1632240000@colleges.claremont.edu
SUMMARY:Topology Seminar -- Sam Nelson
DESCRIPTION:Sam Nelson will wow us with his maths.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210922T163000
DTEND;TZID=America/Los_Angeles:20210922T174500
DTSTAMP:20260404T122029
CREATED:20210817T140933Z
LAST-MODIFIED:20210817T141610Z
UID:2198-1632328200-1632332700@colleges.claremont.edu
SUMMARY:Quantitative Approaches to Social Justice (Prof. Chad Topaz)
DESCRIPTION:Title: Quantitative Approaches to Social Justice \nProf. Chad Topaz (he/him/his)\nCo-Founder and Executive Director of Research\, QSIDE Institute\nProfessor of Mathematics\, Williams College \nAbstract: Civil rights leader\, educator\, and investigative journalist Ida B. Wells said that “the way to right wrongs is to shine the light of truth upon them.” This talk will demonstrate how quantitative and computational approaches can shine a light on social injustices and help build solutions to remedy them. We will present quantitative social justice projects on topics ranging from diversity in art museums to equity in criminal sentencing to affirmative action\, health care access\, and other fields. The tools engaged include crowdsourcing\, data cleaning\, clustering\, hypothesis testing\, statistical modeling\, Markov chains\, data visualization\, and much more. I hope that this talk leaves you informed about the breadth of social justice applications that one can tackle using mathematical and data science tools in careful collaboration with other scholars and activists. \nProf. Chad Topaz (he/him/his) is the co-Founder and Executive Director of Research at the QSIDE Institute which promote the quantitative study of inclusion\, diversity\, and equity. He is also a Professor of Mathematics\, Williams College. \nThis colloquium will be virtual and a Zoom link will be distributed via the CCMS Email list.
URL:https://colleges.claremont.edu/ccms/event/prof-chad-topaz/
LOCATION:Zoom meeting\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210927T161500
DTEND;TZID=America/Los_Angeles:20210927T171500
DTSTAMP:20260404T122029
CREATED:20210903T201344Z
LAST-MODIFIED:20210927T035656Z
UID:2295-1632759300-1632762900@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Amy Buchmann (University of San Diego)
DESCRIPTION:Title: Mixing and Pumping on the Microscale \nAbstract: \nMixing and pumping in microfluidics devices is difficult because the traditional methods of mixing and pumping at large length scales don’t work at small length scales. Experimental work has suggested that rotating helical flagella may be used to effectively mix and pump fluid in microfluidics devices. To further explore this idea and to characterize the flow features around rotating helices\, we study the hydrodynamic interactions between two rigid helices rotating at a constant velocity. Next\, we optimize the numeric methods to study larger bacterial carpets.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-amy-buchmann-university-of-san-diego/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210928T123000
DTEND;TZID=America/Los_Angeles:20210928T132000
DTSTAMP:20260404T122029
CREATED:20210827T004513Z
LAST-MODIFIED:20210921T181604Z
UID:2224-1632832200-1632835200@colleges.claremont.edu
SUMMARY:An algebraic introduction to the Kauffman bracket skein algebra (Helen Wong\, CMC)
DESCRIPTION:The Kauffman bracket skein algebra was originally defined as a generalization of the Jones polynomial for knots and links on a surface and is one of the few quantum invariants where the connection to hyperbolic geometry is fairly well-established.  Explicating this connection to hyperbolic geometry requires an understanding of the non-commutative structure of the skein algebra\, especially at roots of unity.  We’ll present some of the known (and not known) properties of the skein algebra.  Highlights include the Chebyshev polynomials\, quantum tori\, $SL(2\, \mathbb C)$ and other interesting algebraic objects.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-helen-wong-cmc/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210928T150000
DTEND;TZID=America/Los_Angeles:20210928T160000
DTSTAMP:20260404T122029
CREATED:20210914T225152Z
LAST-MODIFIED:20210914T225958Z
UID:2339-1632841200-1632844800@colleges.claremont.edu
SUMMARY:Topology Seminar -- Robert Bowden
DESCRIPTION:Robert Bowden will tell us fantastic things he did at PSU.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210929T163000
DTEND;TZID=America/Los_Angeles:20210929T174500
DTSTAMP:20260404T122029
CREATED:20210831T234248Z
LAST-MODIFIED:20210921T160751Z
UID:2277-1632933000-1632937500@colleges.claremont.edu
SUMMARY:Virtual Trivalent Spatial Graphs . . . (Sherilyn Tamagawa)
DESCRIPTION:Title: Virtual Trivalent Spatial Graphs and Virtual Niebrzydowski Algebras \nSpeaker: Prof. Sherilyn Tamagawa\nVisiting Assistant Professor Pomona College \nAbstract: If you were given two tangled up circles of string\, could you untangle one to look like the other without cutting and reattaching the string? How could you tell? Knot theory explores answers to these questions. In this talk\, we discuss a generalization of a knot\, called a virtual trivalent spatial graph. We will then introduce virtual Niebrzydowski algebras\, algebraic structures which can be used to distinguish some of them. \nThis work is joint with Nancy Scherich (ICERM). \n  \nSheri Tamagawa completed her BA in Mathematics at Scripps College. After completing her PhD at the University of California\, Santa Barbara\, she spent two years teaching at Davidson College. She is currently a Visiting Assistant Professor of Mathematics at Pomona College. She is also one of the current organizers of USTARS (Underrepresented Students in Topology and Algebra Research Symposium).
URL:https://colleges.claremont.edu/ccms/event/sherilyn-tamagawa-pomona-college/
CATEGORIES:Colloquium
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211004T161500
DTEND;TZID=America/Los_Angeles:20211004T171500
DTSTAMP:20260404T122029
CREATED:20210908T152516Z
LAST-MODIFIED:20210928T171304Z
UID:2313-1633364100-1633367700@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Manuchehr Aminian (Cal Poly Pomona)
DESCRIPTION:Title: Traditional Applied Math\, and then\, Working with High Dimensional Biological Data \nAbstract: \n\nI will give an overview of my interests in two parts. The first part will be on passive tracer problems – with the goal of finding formulas of descriptive statistics (mean\, variance\, skewness) for a solute distribution advected by a smooth flow in a tube with arbitrary cross-section. We found explicit formulas which predict these statistics relying ultimately only on the cross-section of the tube\, and see agreement with numerical simulation as well as experiment. Some partial derivatives and pretty pictures from simulations will be shown.  \n\n\nIn the second part\, I’ll talk about my projects outside of partial differential equations. The main thrust of my (pre-pandemic) postdoctoral project was applying math and machine learning approaches to identify biomarkers predictive of pre-symptomatic infection in “omics” data sets from human challenge studies of influenza-like illnesses. I’ll define the jargon\, and talk about our successes* in answering a few questions: \n\n\n\nGiven a collection of blood samples from study participants\, can one identify (classify) a new blood sample as coming from a “shedder” (one who may be expected to be contagious) in the first 24 hours after exposure? \n\n\nGiven a collection of granular blood samples from study participants over the first week of infection\, and given a blood sample from someone already known to be infected\, can one predict how long it has been since the exposure event? \n\n\n*Our research did not result in technologies which stopped the pandemic; so in that sense\, we were not successful.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-manuchehr-aminian-cal-poly-pomona/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211005T123000
DTEND;TZID=America/Los_Angeles:20211005T132000
DTSTAMP:20260404T122029
CREATED:20210906T215040Z
LAST-MODIFIED:20210906T215040Z
UID:2301-1633437000-1633440000@colleges.claremont.edu
SUMMARY:Critical points of toroidal Belyi maps (Edray Goins\, Pomona)
DESCRIPTION:A Belyi map $\beta: \mathbb{P}^1(\mathbb{C}) \to \mathbb{P}^1(\mathbb{C})$ is a rational function with at most three critical values; we may assume these values are $\{ 0\, \\, 1\, \\, \infty \}$.  Replacing $\mathbb{P}^1$ with an elliptic curve $E: \ y^2 = x^3 + A \\, x + B$\, there is a similar definition of a Belyi map $\beta: E(\mathbb{C}) \to \mathbb{P}^1(\mathbb{C})$.  Since $E(\mathbb{C}) \simeq \mathbb T^2(\mathbb {R})$ is a torus\, we call $(E\, \beta)$ a Toroidal \Belyi pair. \n\n\nThere are many examples of Belyi maps $\beta: E(\mathbb{C}) \to \mathbb P^1(\mathbb{C})$ associated to elliptic curves; several can be found online at LMFDB. Given such a Toroidal Belyi map of degree $N$\, the inverse image $G = \beta^{-1} \bigl( \{ 0\, \\, 1\, \\, \infty \} \bigr)$ is a set of $N$ elements which contains the critical points of the \Belyi map. In this project\, we investigate when $G$ is contained in $E(\mathbb{C})_{\text{tors}}$. \n\n\nThis is work done as part of the Pomona Research in Mathematics Experience (NSA H98230-21-1-0015).
URL:https://colleges.claremont.edu/ccms/event/critical-points-of-toroidal-belyi-maps-edray-goins-pomona/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211005T150000
DTEND;TZID=America/Los_Angeles:20211005T160000
DTSTAMP:20260404T122029
CREATED:20210914T225152Z
LAST-MODIFIED:20210914T230121Z
UID:2354-1633446000-1633449600@colleges.claremont.edu
SUMMARY:Topology Seminar -- Jim Hoste
DESCRIPTION:Jim Hoste will do an interpretive knot dance.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-05/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211006T163000
DTEND;TZID=America/Los_Angeles:20211006T174500
DTSTAMP:20260404T122029
CREATED:20210831T035746Z
LAST-MODIFIED:20210831T035746Z
UID:2257-1633537800-1633542300@colleges.claremont.edu
SUMMARY:Interrupted Time Series Models for Assessing Complex Health Care Interventions (Maricela Cruz\, PhD)
DESCRIPTION:Title: Interrupted Time Series Models for Assessing Complex Health Care Interventions \nMaricela Cruz\, PhD\nAssistant Investigator\nBiostatistics Unit\nKaiser Permanente Washington Health Research Institute \nAbstract:  Assessing the impact of complex interventions on measurable health outcomes is a growing concern in health care and health policy. According to the 2018 Annual Review of Public Health\, interrupted time series (ITS) designs may be the only feasible recourse for studying the impacts of large-scale public health policies. Statistical models used to analyze ITS data a priori restrict the interruption’s effect to a predetermined time point or censor data for which the intervention effects may not be fully realized\, and neglect changes in the temporal dependence and variability. In addition\, current methods limit the analysis to one hospital unit or entity and are not well specified for discrete outcomes (e.g.\, patient falls). In this talk\, I present novel ITS methods based on segmented regression that address the aforementioned limitations and provide a testing paradigm for the existence of a change point in the time series. The methodology is illustrated by analyzing patient centered data from a hospital that implemented and evaluated a new care delivery model in multiple units.\n  \nMaricela Cruz is an Assistant Investigator and Biostatistician at Kaiser Permanente Washington Health Research Institute and Affiliate Assistant Professor at the University of Washington Department of Biostatistics.  She received her PhD in statistics from the University of California Irvine and was a National Science Foundation Graduate Research Fellowship awardee and Eugene Cota-Robles fellow during her time there. Maricela’s research primarily focuses on developing novel statistical methods to assess and evaluate the impact of complex health interventions.
URL:https://colleges.claremont.edu/ccms/event/interrupted-time-series-models-for-assessing-complex-health-care-interventions-maricela-cruz-phd/
LOCATION:Zoom meeting\, United States
CATEGORIES:Colloquium
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211011T161500
DTEND;TZID=America/Los_Angeles:20211011T171500
DTSTAMP:20260404T122029
CREATED:20210922T024054Z
LAST-MODIFIED:20211011T071415Z
UID:2387-1633968900-1633972500@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Leif Zinn-Brooks (HMC/Scripps)
DESCRIPTION:Title: Circadian Rhythms in Multinucleate Cells \nAbstract: \nCircadian rhythms are among the most researched cellular processes\, but limited work has been done on how these rhythms are coordinated between nuclei in multinucleate cells. I’ll analyze a mathematical model for circadian oscillations in a multinucleate cell\, motivated by mRNA and protein data from the filamentous fungus Neurospora crassa. Stochastic simulations of this model illuminate the importance of mRNA-protein phase separation\, in which mRNAs are kept close to the nucleus in which they were transcribed\, while proteins can diffuse freely across the cell. This phase separation allows for a robust oscillator to be assembled with very low mRNA counts. I’ll also discuss how the labor of transcribing mRNAs is divided between nuclei\, both when nuclei are evenly spaced across the cell and when they are not. Division of this labor can be regulated by controlling the amount of cytoplasmic volume available to each nucleus. Our results indicate that there is potential for emergent organization and extreme mRNA efficiency in multinucleate cells.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-leif-zinn-brooks-hmc-scripps/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211012T123000
DTEND;TZID=America/Los_Angeles:20211012T132000
DTSTAMP:20260404T122029
CREATED:20210831T181118Z
LAST-MODIFIED:20211006T002703Z
UID:2267-1634041800-1634044800@colleges.claremont.edu
SUMMARY:New norms on matrices induced by polynomials (Angel Chavez\, Pomona)
DESCRIPTION:The complete homogeneous symmetric (CHS) polynomials can be used to define a  family of norms on Hermitian matrices. These ‘CHS norms’ are peculiar in the sense that they depend only on the eigenvalues of a matrix and not its singular values (as opposed to the Ky-Fan and Schatten norms). We will first give a general overview behind the construction of these norms (as well as their extensions to all n x n complex matrices). The construction and validation of these norms will take us on a tour of probability theory\, convexity analysis\, partition combinatorics and trace polynomials in noncommuting variables. We then discuss open problems and potential for future work. This talk is based on joint work with Konrad Aguilar\, Stephan Garcia and Jurij Volčič.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-angel-chavez-pomona/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211012T150000
DTEND;TZID=America/Los_Angeles:20211012T160000
DTSTAMP:20260404T122029
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195957Z
UID:2355-1634050800-1634054400@colleges.claremont.edu
SUMMARY:Topology Seminar -- Matthew vonAllmen
DESCRIPTION:Title: Untying Knots with Neural Nets \nAbstract: Neural networks can transform 3-dimensional data in a manner reminiscent of an ambient isotopy. With some modifications\, a neural network can be trained to manipulate the vertices of a knot while respecting its topological structure. We use the discrete Mo ̈bius energy as a loss function to incentivize a neural network to smooth out curves in a knot\, without performing illegal operations. By introducing unconventional neural network layers\, we are able to untwist highly tangled polygonal knots until a human can visually recognize whether they are topologically equivalent to the unknot.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-12/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211013T163000
DTEND;TZID=America/Los_Angeles:20211013T174500
DTSTAMP:20260404T122029
CREATED:20210829T221306Z
LAST-MODIFIED:20210829T223025Z
UID:2241-1634142600-1634147100@colleges.claremont.edu
SUMMARY:What we talk about when we talk about math (Prof. Lillian Pierce)
DESCRIPTION:Title: What we talk about when we talk about math\nSpeaker: Prof. Lillian Pierce\, Nicholas J. and Theresa M. Leonardy Professor of Mathematics at Duke University \nAbstract: In 1864\, the mathematician J. J. Sylvester wrote: \n\nMay not Music be described as the Mathematics of the sense\, Mathematics as Music of the reason?…Thus the musician feels Mathematics\, the mathematician thinks Music\,— Music the dream\, Mathematics the working life.\n\nWhat does it feel like to do mathematics? Can we share the dream rather than the working life? In fact\, the experience of doing mathematics probably feels different to each of us. Mathematics is famous for being abstract. Each of us develops a way to represent those abstractions in our own head. Can we describe what we are doing? Can we see some universal patterns in how we feel as we do mathematics? We will share a wide array of mathematical stories\, to study what mathematics does for us\, and what we do when we engage with it. \n\nLillian Pierce began her study of mathematics in earnest as an undergraduate at Princeton\, where she graduated as valedictorian. After studying in Oxford as a Rhodes Scholar\, she returned to Princeton for her PhD\, and then took up fellowships at the Institute for Advanced Study\, the University of Oxford\, and the Hausdorff Center for Mathematics in Bonn\, before moving to Duke University. Her work has received an NSF CAREER grant\, a Sloan Research Fellowship\, an AWM-Sadosky Prize\, a Joan and Joseph Birman Fellowship\, and a Presidential Early Career Award for Scientists and Engineers. Pierce is currently the Nicholas J. and Theresa M. Leonardy Professor of Mathematics at Duke University\, a Bonn Research Fellow\, and a Fellow of the American Mathematical Society.
URL:https://colleges.claremont.edu/ccms/event/what-we-talk-about-when-we-talk-about-math-prof-lillian-pierce/
LOCATION:Zoom
CATEGORIES:Colloquium
END:VEVENT
END:VCALENDAR