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X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20210907T123000
DTEND;TZID=America/Los_Angeles:20210907T132000
DTSTAMP:20260506T234817
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:20260506T234817
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:20260506T234817
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:20260506T234817
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:20260506T234817
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:20260506T234817
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:20260506T234817
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:20260506T234817
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:20260506T234817
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:20260506T234817
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:20260506T234817
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/
LOCATION:CA
CATEGORIES:Colloquium
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