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DTSTART;TZID=America/Los_Angeles:20210831T123000
DTEND;TZID=America/Los_Angeles:20210831T132000
DTSTAMP:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211004T161500
DTEND;TZID=America/Los_Angeles:20211004T171500
DTSTAMP:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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:20260409T235441
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
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211018T161500
DTEND;TZID=America/Los_Angeles:20211018T173000
DTSTAMP:20260409T235441
CREATED:20210831T001248Z
LAST-MODIFIED:20210831T001248Z
UID:2250-1634573700-1634578200@colleges.claremont.edu
SUMMARY:Fall break
DESCRIPTION:No applied math talk
URL:https://colleges.claremont.edu/ccms/event/fall-break/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
GEO:34.099908;-117.7142522
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211020T163000
DTEND;TZID=America/Los_Angeles:20211020T174500
DTSTAMP:20260409T235441
CREATED:20211013T194106Z
LAST-MODIFIED:20211015T150652Z
UID:2433-1634747400-1634751900@colleges.claremont.edu
SUMMARY:Panel on Paths in Mathematics After Undergrad
DESCRIPTION:Panelists: Tatiana Bradley\, Michelle Goodwin\, Isys Johnson\, John Lentfer\, and Matthew vonAllmen \nWe will have a panel discussion with graduates from the Claremont Consortium who have taken different pathways after graduation. After introductions\, there will be time for open questions from the audience. \nAfterward\, breakout rooms will be open for a casual discussion with the panelists and more participants.\nIncluding a breakout room on the “4+1” Master’s Program at CGU\, with current and past students. \nPanelist Bios: \nTatiana Bradley is a Software Engineer at Google in New York City. She received a bachelor’s degree in Math at Scripps College\, and a PhD in Computer Science (specializing in cryptography) at UC Irvine. At Google\, she works on protecting user data from insider risk. \nMichelle Goodwin is an Associate Vice President at Barclays Investment Bank in San Francisco. She received a bachelor’s degree in Pure Mathematics from Claremont McKenna College in 2016. For Barclays\, she sells institutional investors (e.g. pension funds\, insurance companies\, and hedge funds) securitized products. \nIsys Johnson is a graduate of Pomona College where she double majored in Computer Science and Mathematics. Isys is currently pursuing a PhD in Computer Science at the State University of New York at Buffalo. She is interested in structured linear algebra with applications in machine learning and works as a research assistant for Dr. Atri Rudra. \nJohn Lentfer graduated from Harvey Mudd College in 2021\, where he majored in mathematics. John is currently a first-year mathematics PhD student at UC Berkeley. He is interested in combinatorics and he is also exploring some related areas as he decides what topic to focus on. \nMatthew vonAllmen is a graduate of Pitzer College. He majored in CS-Math through Harvey Mudd College and Mathematical Economics at his home campus. Currently\, he’s pursuing a computer science PhD at Northwestern University\, where his research focuses on interdisciplinary CS-Econ questions of mechanism design and collective prediction.
URL:https://colleges.claremont.edu/ccms/event/panel-on-paths-in-mathematics-after-undergrad/
LOCATION:Zoom
CATEGORIES:Colloquium
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211025T161500
DTEND;TZID=America/Los_Angeles:20211025T171500
DTSTAMP:20260409T235441
CREATED:20210903T204031Z
LAST-MODIFIED:20211022T152646Z
UID:2297-1635178500-1635182100@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Mario Banuelos (Cal State University\, Fresno)
DESCRIPTION:Title: A Recommendation Systems Approach for Detecting Epistasis \nAbstract: \nThere are a variety of methods used to understand and interpret an organism’s phenotype\, the physical expression of one or more genes. Epistasis\, the phenomenon of one mutation affecting the resulting quantitative or qualitative phenotype\, is used to assess gene variation in an attempt to find a combination of single nucleotide polymorphisms (SNPs) that contribute to a certain phenotype. Since one SNP rarely completely describes an organism’s phenotype\, detecting these groups\, or coalitions\, of mutations without relying on an exponential number of numbers is one of the main challenges in this field. To alleviate these computational bottlenecks\, we propose a neighborhood-based collaborative filtering approach by viewing this data with a recommender system formulation. As such\, we are able to detect statistically significant higher order SNP interaction phenotypes related to muscle mice genomic variants.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-mario-banuelos-cal-state-university-fresno/
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:20211026T123000
DTEND;TZID=America/Los_Angeles:20211026T132000
DTSTAMP:20260409T235441
CREATED:20210822T191915Z
LAST-MODIFIED:20211024T022430Z
UID:2210-1635251400-1635254400@colleges.claremont.edu
SUMMARY:Damerell's theorem: p-adic version\, supersingular case (Pavel Guerzhoy\, University of Hawaii)
DESCRIPTION:It is widely believed that Weierstrass ignored Eisenstein’s theory of elliptic functions and developed an alternative treatment\, which is now standard\, because of a convergence issue. In particular\, the Eisenstein series of weight two does not converge absolutely while Eisenstein’s theory assigned a value to this series.\n\nIt is now well-known that the quantity which Eisentsein assigned to this series is not only correct\, but it has interesting interpretations and attracted much attention. It has been proved by Damerell in 1970 that this quantity is an algebraic number if the underlying elliptic curve has complex multiplication.\n\nIn 1976\, N. Katz interpreted Damerell’s theorem in terms of DeRham cohomology; that allowed for a p-adic approach to this algebraic number. This p-adic version of Damerell’s theorem was instrumental in Katz’s theory of p-adic modular forms and p-adic L-functions of CM-fields. The approach\, by design\, works for those primes which split in the CM-field.\n\nIn this talk\, we offer a modification of Katz’ p-adic approach to the weight two Eisenstein series which works uniformly well for all primes of good reduction\, both inert and splitting in the CM-field.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-pavel-guerzhoy-university-of-hawaii-2/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211026T150000
DTEND;TZID=America/Los_Angeles:20211026T160000
DTSTAMP:20260409T235441
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:2356-1635260400-1635264000@colleges.claremont.edu
SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-10-26/
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:20211027T163000
DTEND;TZID=America/Los_Angeles:20211027T174500
DTSTAMP:20260409T235441
CREATED:20211015T170746Z
LAST-MODIFIED:20211015T171056Z
UID:2439-1635352200-1635356700@colleges.claremont.edu
SUMMARY:Clouds and Climate (Prof. Tapio Schneider)
DESCRIPTION:Title: Clouds and Climate \nProf. Tapio Schneider\nTheodore Y. Wu Professor of Environmental Science and Engineering\nCalifornia Institute of Technology \nAbstract: Clouds are an essential regulator of climate. They cool Earth on average by 5 degrees centigrade. Yet despite their importance\, the response of clouds to climate change is very uncertain. This is especially true for the low clouds that cover vast areas of tropical oceans. Their primary effect is to cool Earth by reflecting sunlight back to space. I discuss the physics of these clouds\, how their cooling effect may have been very different in past greenhouse climates\, and how they may be affected by rising greenhouse gas concentrations. To predict our climate future more accurately\, breakthroughs in the modeling of clouds and in the accuracy of climate predictions are needed. I will discuss how they may be achieved\, thanks to advances in computing and Earth observations from space and our ability to fuse models with massive amounts of data. \nProf. Tapio Schneider is the Theodore Y. Wu Professor of Environmental Science and Engineering at Caltech and a Senior Research Scientist at JPL. His research focuses on how the climate of Earth and other planets comes about and may change\, for example\, by changes in atmospheric circulation or cloud cover.
URL:https://colleges.claremont.edu/ccms/event/clouds-and-climate-prof-tapio-schneider/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211101T161500
DTEND;TZID=America/Los_Angeles:20211101T171500
DTSTAMP:20260409T235441
CREATED:20210902T180750Z
LAST-MODIFIED:20211005T215106Z
UID:2282-1635783300-1635786900@colleges.claremont.edu
SUMMARY:Applied Math Seminar — Selenne Bañuelos (Cal State University Channel Islands and Institute for Pure and Applied Mathematics\, UCLA)
DESCRIPTION:Title: Exploring Phage Treatment for Bacterial Infections with Mathematical Modeling \nAbstract: \nAntimicrobial resistance (AMR) is a serious threat to global health today. A renewed interest in phage therapy – the use of bacteriophages to treat pathogenic bacterial infections – has emerged given the spread of AMR and lack of new drug classes in the antibiotic pipeline. This talk will feature mathematical models from an ongoing research project that began in 2019 during the Collaborative Workshop for Women in Mathematical Biology at IPAM.  The first model considers the effect of phage-antibiotic combination therapy. We utilized this model to examine the role of the immune response in concert with phage-antibiotic combination therapy compounded with the effects of the immune system on the phages being used for treatment.  We will then discuss our current work as we collaborate with an experimental biologist.  This model investigates the bacteria-phage interaction in vitro.  We will discuss how our model has given insights into the challenges that arise from limited information in clinical trials\, and the delightful experience of how experimental biologists and applied mathematicians provide guidance to each other to move the project forward.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-selenne-banuelos-cal-state-university-channel-islands/
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:20211102T123000
DTEND;TZID=America/Los_Angeles:20211102T132000
DTSTAMP:20260409T235441
CREATED:20210826T052223Z
LAST-MODIFIED:20211025T185715Z
UID:2221-1635856200-1635859200@colleges.claremont.edu
SUMMARY:Counting points in discrete subgroups (Jeff Vaaler\, UT Austin)
DESCRIPTION:We consider the problem of comparing the number of discrete points that belong to a set with the measure (or volume) of the set\, under circumstances where we expect these two numbers to be approximately equal. We start with a locally compact\, abelian\, topological group G. We assume that G has a countably infinite\, torsion free\, discrete subgroup H. But to make the talk easier to follow we will mostly consider the case G = R^N and H = Z^N. If E ⊆ R^N is a subset there are many situations where one expects that the (finite\, positive) number Vol_N (E) is approximately equal to the cardinality |E ∩ Z^N |. We will sketch the proof of a general result that bounds the difference between these quantities. If k is an algebraic number field and k_A is the ring of adeles associated to k\, this general result is useful when G = k_A^N and H = k^N .
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-jeff-vaaler-ut-austin/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211103T163000
DTEND;TZID=America/Los_Angeles:20211103T173000
DTSTAMP:20260409T235441
CREATED:20211028T230900Z
LAST-MODIFIED:20211028T231026Z
UID:2450-1635957000-1635960600@colleges.claremont.edu
SUMMARY:Topological descriptions of protein folding (Prof. Helen Wong)
DESCRIPTION:Title: Topological descriptions of protein folding\nSpeaker:  Prof. Helen Wong\, Department of Mathematical Sciences\, Claremont-McKenna College. \nAbstract: Knotting in proteins was once considered exceedingly rare. However\, systematic analyses of solved protein structures over the last two decades have demonstrated the existence of many deeply knotted proteins\, and researchers now hypothesize that the knotting presents some functional or evolutionary advantage for those proteins. Unfortunately\, little is known about how proteins fold into knotted configurations. In this talk\, we approach this problem from a theoretical point of view\, using techniques from the mathematical study of shape: Topology. We’ll discuss the topological tools currently used to quantify the complexity and depth of knotting in proteins\, and compare and contrast topological descriptions of proposed pathways for proteins to form knots. \n\nHelen Wong is an Associate Professor of Mathematics in the Department of Mathematical Sciences at Claremont McKenna College and an alumna of Pomona College. Her research is in low-dimensional quantum topology\, and applications of topology to molecular biology and quantum computation. She is particularly interested in the relationship between quantum invariants and related constructions (especially the Kauffman bracket skein algebra of a surface) and non-quantum invariants from topology and hyperbolic geometry.
URL:https://colleges.claremont.edu/ccms/event/topological-descriptions-of-protein-folding-prof-helen-wong/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211108T161500
DTEND;TZID=America/Los_Angeles:20211108T171500
DTSTAMP:20260409T235441
CREATED:20210908T230638Z
LAST-MODIFIED:20211108T182044Z
UID:2317-1636388100-1636391700@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Sara Clifton (St. Olaf College)
DESCRIPTION:Title: Understanding Complex Social Systems using Minimal Mathematical Models \nAbstract: \nMinimal mathematical models are used to understand complex phenomena in the physical\, biological\, and social sciences. This modeling philosophy never claims\, nor even attempts\, to fully capture the mechanisms underlying the phenomena\, and instead offers insights and predictions not otherwise possible. Here\, we explore minimal dynamical systems models to understand several complex social phenomena\, including the profit-driven abandonment of restaurant tipping\, the public health tradeoffs of e-cigarettes\, and the progression of women through professional hierarchies. Because of their simplicity\, these models offer new connections between existing fields\, give optimal solutions with limited data\, and provide qualitative predictions of future events.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-sara-clifton-st-olaf-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Maryann Hohn":MAILTO:Maryann.Hohn@pomona.edu
END:VEVENT
END:VCALENDAR