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DTSTART;TZID=America/Los_Angeles:20220404T161500
DTEND;TZID=America/Los_Angeles:20220404T173000
DTSTAMP:20260407T205732
CREATED:20220328T041515Z
LAST-MODIFIED:20220328T041515Z
UID:2677-1649088900-1649093400@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Kathryn G. Link (UC Davis)
DESCRIPTION:Title: Viscoelastic Effects of Spontaneous Oscillations of Elastic Filaments in the Follower-Force Problem. \nAbstract: It is well know that microorganisms\, such as bacteria and eukaryotes\, often move in intricate environments experiencing mechano-chemical dynamics. These environments consist of rheologically complex substances such as mucus and other biofilms that are more complicated than water.  Spermatozoa (sperm)\, for example\, swim in viscoelastic mucus via deformations of their flagella\, which are slender threadlike structures that are powered by internal molecular motors. The motor activity generates flagellar bending\, resulting in an undulatory beat. The effects of a fading-memory fluid on emergent properties of these spontaneous oscillations are not entirely known. Here we combine analysis with numerical simulations of finite-length\, small-amplitude pinned filaments subject to a compressive follower force to elucidate the Hopf bifurcation that occurs with increasing forcing on the filament. Additionally\, we determine characteristics of the flapping motion\, specifically frequency and amplitude changes and how those changes depend on follower force strength as well as fluid elasticity.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-kathryn-g-link-uc-davis/
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:20220405T123000
DTEND;TZID=America/Los_Angeles:20220405T132000
DTSTAMP:20260407T205732
CREATED:20220125T062030Z
LAST-MODIFIED:20220326T052025Z
UID:2556-1649161800-1649164800@colleges.claremont.edu
SUMMARY:Covering by polynomial planks (Alexey Glazyrin\, University of Texas Rio Grande Valley)
DESCRIPTION:In 1932\, Tarski conjectured that a convex body of width 1 can be covered by planks\, regions between two parallel hyperplanes\, only if the total width of planks is at least 1. In 1951\, Bang proved the conjecture of Tarski. In this work we study the polynomial version of Tarski’s plank problem. \nWe note that the recent polynomial proofs of the spherical and complex plank covering problems by Zhao and Ortega-Moreno give some general information on zeros of real and complex polynomials restricted to the unit sphere. As a corollary of these results\, we establish several generalizations of the Bang plank covering theorem.\nUsing the polynomial approach\, we also prove the strengthening of the Fejes Tóth zone conjecture on covering a sphere by spherical segments\, closed parts of the sphere between two parallel hyperplanes. In particular\, we show that the sum of angular widths of spherical segments covering the whole sphere is at least π. \nThis is a joint work with Roman Karasev and Alexandr Polyanskii.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-alexey-glazyrin-university-of-texas-rio-grande-valley/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220411T161500
DTEND;TZID=America/Los_Angeles:20220411T171500
DTSTAMP:20260407T205732
CREATED:20220125T182732Z
LAST-MODIFIED:20220125T182732Z
UID:2562-1649693700-1649697300@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Applied Attractions at Claremont Colleges
DESCRIPTION:During this student-centered Applied Math Seminar\, there will be discussion and presentation about upcoming courses in applied mathematics to help students make their enrollment choices for Fall 2022 and beyond.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-applied-attractions-at-claremont-colleges/
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:20220412T123000
DTEND;TZID=America/Los_Angeles:20220412T132000
DTSTAMP:20260407T205732
CREATED:20211213T015630Z
LAST-MODIFIED:20220225T220354Z
UID:2510-1649766600-1649769600@colleges.claremont.edu
SUMMARY:Geometrization of Markov numbers (Oleg Karpenkov\, University of Liverpool)
DESCRIPTION:In this talk we link discrete Markov spectrum to geometry of continued fractions. As a result of that we get a natural generalization of classical Markov tree which leads to an efficient computation of Markov minima for all elements in generalized Markov trees.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-oleg-karpenkov-university-of-liverpool/
LOCATION:TBA
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220412T150000
DTEND;TZID=America/Los_Angeles:20220412T160000
DTSTAMP:20260407T205732
CREATED:20230913T080353Z
LAST-MODIFIED:20230913T080353Z
UID:3231-1649775600-1649779200@colleges.claremont.edu
SUMMARY:Cusps in Convex Projective Geometry (Martin Bobb\, IHES)
DESCRIPTION:Convex real projective structures generalize hyperbolic structures in a rich way. We will discuss a class of manifolds introduced by Cooper Long and Tillmann\, which include finite-volume cusped hyperbolic manifolds and other manifolds with well-controlled ends. These manifolds have nice deformation theoretic properties\, and we will conclude with an existence theorem for novel structures on some hyperbolic manifolds.
URL:https://colleges.claremont.edu/ccms/event/cusps-in-convex-projective-geometry-martin-bobb-ihes/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220413T161500
DTEND;TZID=America/Los_Angeles:20220413T173000
DTSTAMP:20260407T205732
CREATED:20220228T192814Z
LAST-MODIFIED:20220301T203530Z
UID:2643-1649866500-1649871000@colleges.claremont.edu
SUMMARY:Geometry of continued fractions (Prof. Oleg Karpenkov)
DESCRIPTION:Title: Geometry of continued fractions\n\nSpeaker:  Oleg Karpenkov\, Department of Mathematical Sciences\, University of Liverpool\n\nAbstract: In this talk we introduce a geometrical model of continued fractions and discuss its appearance in rather different research areas:\n— values of quadratic forms (Perron Identity for Markov spectrum)\n— the 2nd Kepler law on planetary motion\n— Global relation on singularities of toric varieties\n\n\n\nOleg Karpenkov is a mathematician at the University of Liverpool (UK)\, working in the general area of discrete geometry. Specifically\, his interests include geometry of numbers\, discrete and semi-discrete differential geometry and self-stressed configurations of graphs. He completed his Ph.D. at Moscow State University under the supervision of Vladimir Arnold in 2005. He held several postdoctoral positions in Paris (Fellowship of the Mairie de Paris)\, Leiden\, and Graz (Lise Meitner Fellowship) before arriving in Liverpool in 2012. In 2013 he published a book “Geometry of Continued Fractions” (its extended second edition will be available soon). His Erdos number is 3.
URL:https://colleges.claremont.edu/ccms/event/geometry-of-continued-fractions-prof-oleg-karpenkov/
LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220419T123000
DTEND;TZID=America/Los_Angeles:20220419T132000
DTSTAMP:20260407T205732
CREATED:20220124T234622Z
LAST-MODIFIED:20220413T160024Z
UID:2553-1650371400-1650374400@colleges.claremont.edu
SUMMARY:A conjugacy criterion for two pairs of 2 x 2 matrices over a commutative ring (Bogdan Petrenko\, Eastern Illinois University)
DESCRIPTION:I will explain how to apply presentations of algebras (together with some classical results from non-commutative algebra) to obtain some 5 polynomial invariants telling us when two pairs of 2×2 matrices over a commutative ring are conjugate\, assuming that each of these pairs generate the matrix algebra. This talk is based on my joint paper with Marcin Mazur (Binghamton University):  Separable algebras over infinite fields are 2-generated and finitely presented\, Arch. Math. 93 (2009)\, 521-529.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-bogdan-petrenko-eastern-illinois-university/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220420T161500
DTEND;TZID=America/Los_Angeles:20220420T173000
DTSTAMP:20260407T205732
CREATED:20220403T231342Z
LAST-MODIFIED:20220403T231342Z
UID:2689-1650471300-1650475800@colleges.claremont.edu
SUMMARY:Linear independence\, counting\, and Hilbert's syzygy theorem (Prof. Youngsu Kim)
DESCRIPTION:Title: Linear independence\, counting\, and Hilbert’s syzygy theorem \nSpeaker: Youngsu Kim\, Department of Mathematics\, Cal State San Bernardino \nAbstract: Linear independence is an essential concept in mathematics and one of the most fundamental notions in linear algebra. \n\n\nLinear algebra studies the solutions of linear equations. Algebraic geometry studies the solutions of polynomial equations (of arbitrary degree). In this talk\, we explore how linear independence can help study algebraic geometry and Hilbert’s syzygy theorem. \n\n\n\nYoungsu Kim earned his Ph.D. from Purdue University. He had visiting positions at UC Riverside and the University of Arkansas. Currently\, he works at Cal State San Bernardino\, and his primary research interest is in commutative algebra.
URL:https://colleges.claremont.edu/ccms/event/linear-independence-counting-and-hilberts-syzygy-theorem-prof-youngsu-kim/
LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid
CATEGORIES:Colloquium
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220425T161500
DTEND;TZID=America/Los_Angeles:20220425T171500
DTSTAMP:20260407T205732
CREATED:20211213T202110Z
LAST-MODIFIED:20230816T041400Z
UID:2518-1650903300-1650906900@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Alona Kryshchenko (CSUCI)
DESCRIPTION:Title: Data science and applications in dynamic topic modeling \nAbstract:\nThe shockwaves of the big data boom have thrown into sharp relief the critical need for domain-driven\, large-scale data analytic techniques across the fields of\, among others\, finance\, political science\, economics\, psychology\, and medicine.  It is not simply the size of data sets that contributes to the extreme challenges of data analysis in these fields\, but the inherent complexity of this data.  Often this data is multi-modal\, with modes representing measurements along different dimensions (e.g.\, spatial\, and temporal dimensions of video data\, or word and document dimensions of text corpora data).  This data is often naturally formatted as a tensor\, a higher-order generalization of a matrix. In this talk\, we will explore nonnegative tensor decompositions and their applications in dynamic topic modeling.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-alona-kryshchenko-csuci/
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:20220426T123000
DTEND;TZID=America/Los_Angeles:20220426T132000
DTSTAMP:20260407T205732
CREATED:20220127T053038Z
LAST-MODIFIED:20220421T192843Z
UID:2570-1650976200-1650979200@colleges.claremont.edu
SUMMARY:Bounds for nonzero Littlewood-Richardson coefficients (Müge Taskin\, Boğaziçi University\, Turkey)
DESCRIPTION:As  $\lambda$ runs through all integer partitions\, the set of   Schur functions $\{s_{\lambda}\}_\lambda$ forms a basis in the ring of symmetric functions. Hence the rule $$s_{\lambda}s_{\mu}=\sum c_{\lambda\,\mu}^{\gamma} s_{\gamma}$$ makes sense and the coefficients $c_{\lambda\,\mu}^{\gamma}$ are called \textit{Littlewood-Richardson (LR) coefficients}. The calculations of Littlewood-Richardson coefficients has been an important problem from the first time they were introduced\, due to their important role in representation theory of symmetric groups and enumerative geometry. \nIn this talk we will explain some of the main features of these coefficients and provide a summary of the characterizations given by Littlewood and Richardson (1934)\, Berenstein- Zelevinsky ()1988) and Knutson-Tao (1999). Then we will explain our approach to a seemingly easier problem\, that is\, the determination of  triples $(\lambda\,\mu\,\gamma)$  of partitions for which $c_{\lambda\,\mu}^{\gamma}$ is non zero. Our method describes some upper and lower bounds for triples $(\lambda\,\mu\,\gamma)$ with nonzero  $c_{\lambda\,\mu}^{\gamma}$\, by using  Young diagram combinatorics and especially\, the indispensable Dominance order. This is joint work with R. Bedii Gümüş and supported by Tübitak/1001/115F156.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-muge-taskin-bogazici-university-turkey/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220427T161500
DTEND;TZID=America/Los_Angeles:20220427T173000
DTSTAMP:20260407T205732
CREATED:20220401T032753Z
LAST-MODIFIED:20220406T231953Z
UID:2686-1651076100-1651080600@colleges.claremont.edu
SUMMARY:Contact topology and geometry in high dimensions (Prof. Bahar Acu)
DESCRIPTION:Title: Contact topology and geometry in high dimensions \nSpeaker: Bahar Acu\, Department of Mathematics\, Pitzer College \nAbstract: A very useful strategy in studying topological manifolds is to factor them into “smaller” pieces. An open book decomposition of an n-manifold (the open book) is a special map (fibration) that helps us study our manifold in terms of its (n-1)-dimensional submanifolds (i.e. fibers=the pages) and (n-2)-dimensional boundary of these submanifolds (the binding). Open books provide a natural framework for studying topological properties of certain geometric structures on smooth manifolds such as “contact structures”. Thanks to open books\, contact manifolds\, odd dimensional manifolds carrying these geometric structures\, can be studied from an entirely topological viewpoint. For example\, every contact 3-manifold can be presented as an open book whose pages are surfaces and binding is a knot/link. In this talk\, we will talk about higher-dimensional contact manifolds and provide a setting where we study these manifolds in terms of 3D open books. We present various results along with examples concerning geometric and topological aspects of these manifolds. \n\nDr. Bahar Acu (pronounced: Ah-Joo) is an Assistant Professor of Mathematics at Pitzer College since Spring 2022. Prior to joining Claremont Colleges\, Dr. Acu held positions at UCLA\, Northwestern\, ETH Zürich\, and IAS Princeton following a Ph.D. degree from the University of Southern California in 2017. Dr. Acu’s primary research interests are in the field of geometric topology\, more precisely contact and symplectic topology in high dimensions and their relations with low-dimensional topology. While doing so\, Dr. Acu actively thinks about ways in which the math community at large can improve and promote the presence and visibility of more first-gen\, womxn\, queer\, and many other historically underrepresented individuals in math in various mathematical events and projects. Dr. Acu continues to hope that more of the math colleagues join these efforts in their day-to-day navigation in math in any beneficial way they can.
URL:https://colleges.claremont.edu/ccms/event/contact-topology-and-geometry-in-high-dimensions-prof-bahar-acu/
LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid
CATEGORIES:Colloquium
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220502T161500
DTEND;TZID=America/Los_Angeles:20220502T171500
DTSTAMP:20260407T205732
CREATED:20220422T161142Z
LAST-MODIFIED:20220422T161142Z
UID:2651-1651508100-1651511700@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Almut Burchard (U. Toronto)
DESCRIPTION:Title: What is the best shape? Geometric\nproblems arising in aggregation models \nAbstract: How do pair interactions shape the large-scale\nbehaviour of a cloud of particles (animals\,\nsocial agents …) ?  In the most basic\nmodels\, the shape of the cloud is determined\nby minimizing an attractive-repulsive interaction\nenergy under suitable geometric constraints. \nWhen can we expect aggregation to occur? what\nis the shape of the resulting flock?  I will\ndescribe recent work on optimal shapes in capacitor\nproblems  that occur as limiting cases. \n 
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-almut-burchard-u-toronto/
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:20220503T123000
DTEND;TZID=America/Los_Angeles:20220503T132000
DTSTAMP:20260407T205732
CREATED:20220128T185315Z
LAST-MODIFIED:20220418T040129Z
UID:2583-1651581000-1651584000@colleges.claremont.edu
SUMMARY:Beran’s tests of uniformity for discrete data (Michael Orrison\, HMC)
DESCRIPTION:Suppose you are given a data set that can be viewed as a nonnegative integer-valued function defined on a finite set. A natural question to ask is whether the data can be viewed as a sample from the uniform distribution on the set\, in which case you might want to apply some sort of test of uniformity to the data. In this talk\, I will share some work Anna Bargagliotti (Loyola Marymount University) and I have been doing to better understand a particular class of tests of uniformity first described in a 1968 paper written by R.J. Beran. Our approach uses tools from harmonic analysis on finite groups\, and in this talk I will introduce those tools and then show how they can easily be used when working with discrete circular data.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-michael-orrison-hmc/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220503T150000
DTEND;TZID=America/Los_Angeles:20220503T160000
DTSTAMP:20260407T205732
CREATED:20230913T080534Z
LAST-MODIFIED:20230913T080534Z
UID:3232-1651590000-1651593600@colleges.claremont.edu
SUMMARY:On the Non-Orientable 4-Genus of Double Twist Knots\, Part II: Lower Bounds (Jim Hoste\, Pitzer College)
DESCRIPTION:The non-orientable 4-genus of a knot K is the smallest first Betti number of any non-orientable surface in the 4-ball spanning the knot. It is defined to be zero if the knot is slice. In joint work with Patrick Shanahan and Cornelia Van Cott\, we attempt to determine the value of this invariant for double twist knots. In an earlier talk at this seminar\, I presented methods of determining upper bounds by explicitly describing non-orientable spanning surfaces. In this talk I describe methods for establishing lower bounds using linking forms on 4-manifolds and a major result of Donaldson. These methods suffice to compute the non-oprientable 4-genus of several infinite families of double twist knots.
URL:https://colleges.claremont.edu/ccms/event/on-the-non-orientable-4-genus-of-double-twist-knots-part-ii-lower-bounds-jim-hoste-pitzer-college/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220906T121500
DTEND;TZID=America/Los_Angeles:20220906T131000
DTSTAMP:20260407T205732
CREATED:20220811T001752Z
LAST-MODIFIED:20220902T173415Z
UID:2779-1662466500-1662469800@colleges.claremont.edu
SUMMARY:Monodromy groups of Belyi Lattes maps (Edray Goins\, Pomona College)
DESCRIPTION:An elliptic curve $ E: y^2 + a_1 \\, x \\, y + a_3 \\, y = x^3 + a_2 \\, x^2 + a_1 \\, x + a_6 $ is a cubic equation which has two curious properties: (1) the curve is nonsingular\, so that we can draw tangent lines to every point $ P = (x\,y) $ on the curve; and (2) the collection of complex points\, namely $ E(\mathbb C) $\, forms an abelian group under a certain binary operation $ \bigoplus: E(\mathbb C) \times E(\mathbb C) \to E(\mathbb C) $.   In particular\, for every positive integer $N$\, the map $ P \mapsto [N] P $ which adds a point $ P \in E(\mathbb C) $ to itself $N$ times is a group homomorphism.   A rational map $\gamma: \mathbb P^1(\mathbb C) \to \mathbb P^1(\mathbb C) $ from the Riemann Sphere to itself is said to be a Latt\`{e}s Map if there are “well-behaved” maps $ \phi: E(\mathbb C) \to \mathbb P^1(\mathbb C) $ and $\psi: E(\mathbb C) \to E(\mathbb C) $ such that $\gamma \circ \phi = \phi \circ \psi$.  We are interested in those Latt\`{e}s Maps $\gamma$ which are also Bely\u{\i} Maps\, that is\, the only critical values are $ 0 $\, $ 1 $\, and $ \infty $.  Work of Zeytin classifies all such maps: For example\, if $ E: y^2 = x^3 + 1 $ then $ \phi: (x\,y) \mapsto (y+1)/2 $ while $\psi = [N] $ for some positive integer $N$.\n\nWe would like to know more about Bely\u{\i} Latt\`{e}s Maps $\gamma$.  What can we say about such maps?  What are their Dessin d’Enfants?  In some cases\, this is a bipartite graph with $ 3 \\, N^2 $ vertices.  What are their monodromy groups? Sometimes this is a group of size $ 3 \\, N^2 $.  In this talk\, we explain the complete answers to these questions\, exploiting the relationship between fundamental groups of Riemann surfaces and Galois groups of function fields.  This work is conducted as part of the Pomona Research in Mathematics Experience (DMS-2113782).
URL:https://colleges.claremont.edu/ccms/event/monodromy-groups-of-belyi-lattes-maps-edray-goins-pomona-college/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220907T161500
DTEND;TZID=America/Los_Angeles:20220907T173000
DTSTAMP:20260407T205732
CREATED:20220828T210059Z
LAST-MODIFIED:20220906T155701Z
UID:2796-1662567300-1662571800@colleges.claremont.edu
SUMMARY:Poster Session Fall 2022
DESCRIPTION:CLAREMONT CENTER for the MATHEMATICAL SCIENCES\nFall 2022 Poster Session \n  \n\n\n\n\n\n\nTitle\nSpeaker(s)\n\n\nA New Basis for k-Local Class Functions\nHannah Friedman\n\n\nA Quantile Deffuant-Weisbuch Model of Opinion Dynamics\nJulianna Schalkwyk\, Hector Tierno\n\n\nAnalyzing Chromatin Immunoprecipitation (ChIP-Seq) Between-Sample Normalization Techniques through the Lens of their Biological Assumptions\nSara Colando\n\n\nCharacterizing Missing Traffic Stop Data\nSaatvik Kher\, Kyle Torres\n\n\nComputationally Modeling Transcranial Ultrasound Propagation for the Optimization of Drug Delivery to the Brain using Sonosensitive Liposomes\nRuth Gale\n\n\nDistributed Non-negative Matrix Factorization (DNMFX) with JAX\nAlicia Lu\n\n\nExploring the HCV\nOscar Scholin\, Graham Hirsch\n\n\nGeometric characteristics of symmetric numerical semigroups in the Kunz cone\nLily Natasha Wartman\n\n\nHorizontal dipole excitations of hydrodynamic electrons in graphene\nKausik Das\n\n\nKaczmarz for Time-Varying Noise and Corruption\nNestor Coria\, Jaime Pacheco\n\n\nMonodromy Groups of Belyi Lattes Maps\nZoë Batterman\, Eben Semere\n\n\nMonotonicity Failure in Ranked Choice Voting\nRylie Weaver\n\n\nOptimization of drug delivery in the brain\nStanley Su\n\n\nOptimization of the delivery of Ropinirole across the blood-brain-barrier\nStanley Su\n\n\nPartially Ordered Sets\nMehek Mehra\n\n\nQuantum Electrodynamics and Electron Scattering\nIshan Varma\n\n\nRates of Approximation by ReLU Shallow Neural Networks\nTong Mao\n\n\nSimulations and extensions of bounded confidence opinion dynamics model with zealots\nIan de Marcellus\n\n\nStochastic Models of Zoonotic Avian Influenza with Multiple Hosts\, Environmental Transmission\, and Migration in the Natural Reservoir\nKaia Smith\n\n\nSum and Product Game\nMariam Abu-Adas\n\n\nTensor Methods and Models for Medical Imaging\nNoah Limpert\, Toby Anderson
URL:https://colleges.claremont.edu/ccms/event/poster-session-fall-2022/
LOCATION:Margaret Fowler Garden\, Scripps College\, Claremont\, CA\, 91711
CATEGORIES:Colloquium,Special Event
GEO:34.103917;-117.709694
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220908T160000
DTEND;TZID=America/Los_Angeles:20220908T170000
DTSTAMP:20260407T205732
CREATED:20220905T060933Z
LAST-MODIFIED:20230816T041748Z
UID:2824-1662652800-1662656400@colleges.claremont.edu
SUMMARY:Factorization theorems of Backward Shifts and Nuclear Maps (Asuman Aksoy\, CMC)
DESCRIPTION:The theory of compact linear operators between Banach spaces has a classical core and is familiar to many. Perhaps lesser known is the factorization of compact maps through a closed subspace of \(c_0\) [2]. This factorization theorem has a number of important connections and consequences analogous to how the ideals of continuous linear operators factoring compactly through \(\ell^p\)-spaces \((1\leq p < \infty)\) (see [1] and the references therein). In this talk\, even though hypercyclic operators are not compact\, we consider operator ideals generated by hypercyclic backward weighted shifts and examine their factorization properties. (Joint work with Yunied Puig)\n\n\n\nFourie\, Jan H. Injective and surjective hulls of classical \(p\)-compact operators with application to unconditionally \(p\)-compact operators. Studia Math.  240  (2018)\, no. 2\, 147–159. MR3720927\nTerzioğlu\, T. A characterization of compact linear mappings. Arch. Math. (Basel) 22 (1971)\, 76–78. MR0291865
URL:https://colleges.claremont.edu/ccms/event/factorization-theorems-of-backward-shifts-and-nuclear-maps-asuman-aksoy-cmc/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220913T121500
DTEND;TZID=America/Los_Angeles:20220913T131000
DTSTAMP:20260407T205732
CREATED:20220902T001706Z
LAST-MODIFIED:20220906T231347Z
UID:2814-1663071300-1663074600@colleges.claremont.edu
SUMMARY:Kriz's theorem via dynamics of linear operators (Yunied Puig de Dios\, CMC)
DESCRIPTION:The existence of a set $A\subset \N_0$ of positive upper Banach density such that $A-A:=\{m-n:m\, n\in A\, m>n\}$ does not contain a set of the form $S-S$ with $S$ a piecewise syndetic is in essence the content of a popular result due to K\v r\'{i}\v z in 1987. Since then at least four different proofs of this result have been given\, and all of them give basically the example originally exhibited by K\v r\'{i}\v z when viewed appropriately. We obtain a generalization of K\v r\'{i}\v z’s result. Our approach differs completely from the previous ones\, as this would be the first proof of K\v r\'{i}\v z’s Theorem which does not rely on Lov\'{a}sz’s Theorem for chromatic numbers of Kneser graphs. Furthermore\, it is done via operator theory\, namely using dynamics of bounded linear operators on infinite-dimensional complex separable Banach spaces. As a consequence\, our example is genuinely different from the one exhibited  originally by K\v r\'{i}\v z.
URL:https://colleges.claremont.edu/ccms/event/krizs-theorem-via-dynamics-of-linear-operators-yunied-puig-de-dios-cmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220914T161500
DTEND;TZID=America/Los_Angeles:20220914T173000
DTSTAMP:20260407T205732
CREATED:20220830T232626Z
LAST-MODIFIED:20220912T190511Z
UID:2812-1663172100-1663176600@colleges.claremont.edu
SUMMARY:Continuity Versus Uniform Continuity (Prof. Gerald Beer)
DESCRIPTION:Title: Continuity Versus Uniform Continuity \nSpeaker: Gerald Beer\, Department of Mathematics\, California State University \nAbstract: In this talk we discuss the class of metric spaces – called the UC-spaces – whose members have this characteristic property:  each continuous function f on X  must be uniformly continuous. \n\nGerald Beer\, PhD UCLA 1971 won the faculty prize for teaching assistants at UCLA.  He was a full professor at California State University Los Angeles\, where he won the Presidents Distinguished Professor Award. He has around 140 papers in refereed journals plus two books: (1) Applied Calculus for Business and Economics; (2) Topologies on Closed and Closed Convex Sets.  He is on the editorial boards of The Journal of Convex Analysis and Set-Valued and Variational Analysis. In 1983-1984\, he was a Fulbright Professor associated with the Mathematical Consortium of Manila\, and in 1986\, he was a National Academy of Sciences exchange scholar at the Bulgarian Academy of Sciences.  He had visiting positions at the University of California\, Davis\, University of Minnesota\, University of Milan\, University of Salerno\, University of Naples II\, University of Limoges\, University of Montpellier II\, University of Perpignan\, University of Complutense Madrid\, Politecnica Valencia\, UMH Elche\, and Auckland Institute of Technology. A conference honoring Professor Beer was held in Varenna\, Lake Como\, Italy on his 65th birthday.
URL:https://colleges.claremont.edu/ccms/event/continuity-versus-uniform-continuity-prof-gerald-beer/
LOCATION:Humanities Auditorium\, Scripps College\, and Zoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.1035221214;-117.709766675
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220919T150000
DTEND;TZID=America/Los_Angeles:20220919T160000
DTSTAMP:20260407T205732
CREATED:20220912T230200Z
LAST-MODIFIED:20220919T154540Z
UID:2918-1663599600-1663603200@colleges.claremont.edu
SUMMARY:History and Philosophy of Mathematics Seminar (organizational meeting and reading discussion)
DESCRIPTION:The first meeting of this semester’s seminar in the history and philosophy of mathematics will take place on Monday\, September 19th from 3 to 4 PM in Avery 202 on the Pitzer Campus (and on zoom). We will spend the time sharing ideas for future meetings and discussing the chapter on “Algebraic Logic” (chapter 9) in Lukas Verburgt’s new book on John Venn: A Life in Logic (a historical book on a philosophical mathematician). Here is the link to the library copy (https://ccl.on.worldcat.org/oclc/1294295070). \n 
URL:https://colleges.claremont.edu/ccms/event/history-and-philosophy-of-mathematics-seminar-organizational-meeting-and-reading-discussion/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:History and Philosophy of Mathematics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220919T161500
DTEND;TZID=America/Los_Angeles:20220919T171500
DTSTAMP:20260407T205732
CREATED:20220909T190042Z
LAST-MODIFIED:20220910T044707Z
UID:2846-1663604100-1663607700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Chiu-Yen Kao (CMC)
DESCRIPTION:Title: Computational Approaches to Optimization Problems in Inhomogeneous Rods and Plates \nAbstract: \nIn this talk\, we will show the experiments of the vibration of plates to generate Chladni’s figures and discuss computational approaches to optimization problems of inhomogeneous rods and plates. We consider both optimization of eigenvalues and localization of eigenfunctions. These problems are motivated by physical problems including the determination of extremum of fundamental vibration frequency and the localization of the vibration displacement. We demonstrate how an iterative rearrangement approach and a gradient descent approach with projection can successfully solve these optimization problems.\n\nThis is a joint work with Weitao Chen at University of California\, at Riverside and it is dedicated to our esteemed collaborator and friend: Ching-Shan Chou.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-chiu-yen-kao-cmc/
LOCATION:Shanahan 2407 at Harvey Mudd College\, 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:20220920T121500
DTEND;TZID=America/Los_Angeles:20220920T131000
DTSTAMP:20260407T205732
CREATED:20220811T002022Z
LAST-MODIFIED:20220906T231455Z
UID:2780-1663676100-1663679400@colleges.claremont.edu
SUMMARY:Arithmetical structures (Luis Garcia Puente\, Colorado College)
DESCRIPTION:An arithmetical structure on a finite\, connected graph G without loops is given by an assignment of positive integers to the vertices such that\, at each vertex\, the integer there is a divisor of the sum of the integers at adjacent vertices\, counted with multiplicity if the graph is not simple. Alternatively\,  an arithmetical structure on G is a pair  of positive integer vectors (d\,r) such that  Mr = 0\, where M = diag(d) – A  is a square matrix whose diagonal entries are given by the vector d\, and whose off-diagonal elements are given by the negative adjacency matrix of G. Arithmetical structures were first introduced by Lorenzini in 1989; matrices of the form (diag(d) – A) arise in algebraic geometry as intersection matrices of degenerating curves.  However\, they also naturally appear in the context of algebraic graph theory as matrices of the form  (diag(d) – A)  generalize the Laplacian matrix of a graph.\n\nIn this talk\, I will give an introduction to the topic. We will discuss some combinatorial\, structural and computational aspects of arithmetical structures. In particular\, we will count the number of distinct arithmetical structures on certain graph families such as path\, cycle\, complete and bident graphs. For paths\, we will show that arithmetical structures are enumerated by the Catalan numbers. For cycles\, we prove that arithmetical structures are enumerated by the binomial coefficients C(2n-1\,n-1).  We will also discuss results about the associated critical group of an arithmetical structure\, i.e.\,  the cokernel of the matrix M.   This talk will be accessible to undergraduate students with some knowledge of linear algebra and discrete mathematics.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-luis-garcia-puente-colorado-college/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220921T161500
DTEND;TZID=America/Los_Angeles:20220921T173000
DTSTAMP:20260407T205732
CREATED:20220830T230918Z
LAST-MODIFIED:20220914T215709Z
UID:2803-1663776900-1663781400@colleges.claremont.edu
SUMMARY:An introduction to algebraic statistics (Prof. Luis David Garcia Puente)
DESCRIPTION:Title: An introduction to algebraic statistics\n\nSpeaker: Luis David Garcia Puente\, Department of Mathematics and Computer Science\, Colorado College\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nAbstract: Algebraic statistics is an interdisciplinary field that uses tools from computational algebra\, algebraic geometry\, and combinatorics to address problems in statistics and its applications. A guiding principle in this field is that many statistical models of interest are semialgebraic sets—a set of points defined by polynomial equalities and inequalities. Algebraic statistics is not only concerned with understanding the geometry and algebra of the underlying statistical model\, but also with applying this knowledge to improve the analysis of statistical procedures\, and to devise new methods for analyzing data.\nAlgebraic statistics is a broad field actively expanding from discrete statistical models\, contingency table analysis\, and experimental design to Gaussian models\, singular learning theory\, and applications to phylogenetics\, machine learning\, and biochemical reaction networks. In this talk\, I will introduce this field by discussing the foundational Diaconis-Sturmfels approach to contingency table analysis. This talk will be accessible to undergraduate students with some knowledge of linear algebra and basic statistics.\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n  \nLuis David García Puente is a Professor of Mathematics and Computer Science at Colorado College.  He grew up in Mexico City and received his B.S. from Universidad Nacional Autónoma de México and his Ph.D. from Virginia Tech\, both in Mathematics. After postdoctoral appointments at the Mathematical Sciences Research Institute and Texas A&M University\, he joined Sam Houston State University. Luis is a Fellow of the American Mathematical Society for contributions to applied algebraic geometry\, including algebraic statistics and geometric modeling\, and for broadening participation in the mathematical sciences. He is a member of the SIAM Activity Group on Algebraic Geometry\, the Latinxs and Hispanics in the Mathematical Sciences Community\, and the Society for Advancement of Chicanos/Hispanics and Native Americans in Science. In Summer 2023\, he will be a PRiME Undergraduate Research Director.
URL:https://colleges.claremont.edu/ccms/event/prof-luis-david-garcia-puente/
LOCATION:Humanities Auditorium\, Scripps College\, and Zoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.1035221214;-117.709766675
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220922T160000
DTEND;TZID=America/Los_Angeles:20220922T170000
DTSTAMP:20260407T205732
CREATED:20220918T041430Z
LAST-MODIFIED:20220918T041430Z
UID:2930-1663862400-1663866000@colleges.claremont.edu
SUMMARY:Frobenius-Rieffel norms on matrix algebras (Konrad Aguilar\, Pomona)
DESCRIPTION:Noncommutative metric geometry is the study of certain noncommuative algebras in the context of metric geometry. For instance\, the Lipschitz constant (which measures the maximum slope obtained by a real-valued continuous function on a metric space (allowed to be infinite)) is a vital tool in metric geometry\, and a main feature of noncommutative metric geometry is the introduction of a noncommutative notion of the Lipschitz constant\, called an L-seminorm\, due to M.A. Rieffel. The purpose of our work is to introduce suitable L-seminorms on matrix algebras. To accomplish this\, we used norms introduced by Rieffel on certain unital C*-algebras built from conditional expectations onto unital C*-subalgebras. We begin by showing that these norms generalize the Frobenius norm on matrix algebras\, and we provide explicit formulas for certain conditional expectations onto unital C*-subalgebras of finite-dimensional C*-algebras. This allows us to compare these norms to the unique C*-norm (the operator 2-norm)\, by finding explicit equivalence constants. (This is joint work with Stephan R. Garcia and Elena Kim (’21)\, arxiv: 2112.13164).
URL:https://colleges.claremont.edu/ccms/event/frobenius-rieffel-norms-on-matrix-algebras-konrad-aguilar-pomona/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220927T121500
DTEND;TZID=America/Los_Angeles:20220927T131000
DTSTAMP:20260407T205732
CREATED:20220906T160640Z
LAST-MODIFIED:20220922T053209Z
UID:2836-1664280900-1664284200@colleges.claremont.edu
SUMMARY:Spinning switches on a wreath product (Peter Kagey\, HMC)
DESCRIPTION:This talk discusses a puzzle called “Spinning Switches\,” based on a problem popularized by Martin Gardner in his February 1979 column of “Mathematical Games”. This puzzle can be generalized to a two-player game on a finite wreath products. This talk will provide a classification of several families of these generalized puzzles\, including a full classification in the case of Abelian groups.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-peter-kagey-hmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220928T161500
DTEND;TZID=America/Los_Angeles:20220928T173000
DTSTAMP:20260407T205732
CREATED:20220830T231008Z
LAST-MODIFIED:20220914T215728Z
UID:2804-1664381700-1664386200@colleges.claremont.edu
SUMMARY:Between Yes and No: making decisions under uncertainty (Prof. Ami Radunskaya)
DESCRIPTION:Title: Between Yes and No: making decisions under uncertainty. \nSpeaker: Ami Radunskaya\, Department of Mathematics and Statistics\, Pomona College \nAbstract: Often we attempt to answer a question with a “yes” or a “no” by developing predictive models (“Will the small remaining population of axolotls survive outside of their native wetlands?”) or by implementing binary classifiers (“Is this a cat or a dog?”). However\, the answers that are provided by our models are often given in terms of probabilities.  Even more confusing\, different models – equally good according to accuracy metrics – can produce conflicting answers.   \nIn this talk\, I will explore these issues and discuss their implications.  How do we interpret an answer that is neither “yes” nor “no”?   For example\, a PCR test for COVID yields a probability.  How does the choice of threshold affect the individual?  How does it affect policy decisions or the course of the disease? How can we disentangle the predictions given by competing models\, i.e. how can we deal with predictive multiplicity?   For example\, if two models disagree on whether or not someone is a loan risk\, which one should be trusted?  Which groups are most affected?  What new metrics can be used to compare models? \n  \n\nA California native\, Professor Radunskaya received her Ph.D. in Mathematics from Stanford University.  She has been a faculty member in the Math Department at Pomona College since 1994.   In her research\, she specializes in ergodic theory\, dynamical systems\, and applications to various “real-world” problems.  Some current research projects involve mathematical models of cancer immunotherapy\, developing strategies for targeted drug delivery to the brain\, and studying stochastic perturbations of dynamical systems.  \nProfessor Radunskaya believes strongly in the power of collaboration and that everyone can learn to enjoy mathematics; as President of the Association of Women in Mathematics\, she encouraged collaborative research\, international outreach\, and cooperation between all the mathematical societies. She is the President of the EDGE (Enhancing Diversity in Graduate Education) Foundation\, whose summer program won a “Mathematics Program that Makes a Difference” award from the American Mathematics Society in 2007\, and a Presidential Award for Excellence in Science\, Mathematics and Engineering Mentoring (PAESMEM) in 2017. \nProfessor Radunskaya was recently elected as a Fellow of the Association for Women in Mathematics and the American Mathematical Society\, and she is the recipient of several awards\, including a WIG teaching award in  2012 and the 2017 AAAS Mentor-of-the-year award. She was featured in the documentary “The Empowerment Project: ordinary women doing extraordinary things”\, as well as in the recent book by Talithia Williams:  “Power in  Numbers: the Rebel Women of Mathematics”.
URL:https://colleges.claremont.edu/ccms/event/ami-radunskaya/
LOCATION:Humanities Auditorium\, Scripps College\, and Zoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.1035221214;-117.709766675
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221003T161500
DTEND;TZID=America/Los_Angeles:20221003T171500
DTSTAMP:20260407T205732
CREATED:20220909T225108Z
LAST-MODIFIED:20220929T215943Z
UID:2851-1664813700-1664817300@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Harlin Lee (UCLA)
DESCRIPTION:Title: Understanding scientific fields with network analysis and topic modeling\n\nAbstract: As scientific disciplines get larger\, it becomes impossible for an individual researcher to be familiar with the entire body of literature\, which forces them to specialize in a sub-field. Such insulation can hinder the birth of ideas that arise from new connections\, eventually slowing down scientific progress. As such\, discovering fruitful interdisciplinary connections by analyzing scientific publications is an important problem in the science of science. This talk will present several past and ongoing projects in answering that question using tools from network analysis and topic modeling: 1) a dynamic-embedding-based method for link prediction in a machine learning semantic network\, where the nodes are concepts in machine learning\, and the time-stamped edges indicate co-occurrence in scientific papers\, and 2) finding communities in cognitive science that study similar topics but do not cite each other or publish in the same venues.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-harlin-lee-ucla/
LOCATION:Shanahan 2407 at Harvey Mudd College\, 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:20221004T121500
DTEND;TZID=America/Los_Angeles:20221004T131000
DTSTAMP:20260407T205732
CREATED:20220829T210323Z
LAST-MODIFIED:20221003T234340Z
UID:2800-1664885700-1664889000@colleges.claremont.edu
SUMMARY:Recent developments on the slice rank polynomial method with applications (Mohamed Omar\, HMC)
DESCRIPTION:The slice rank polynomial method\, motivated by groundbreaking work of Croot\, Lev and Pach and refined by Tao\, has opened the door to the resolution of many problems in extremal combinatorics. We survey these results and discuss contributions in several of the speaker’s recent papers.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-mohamed-omar-hmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221005T161500
DTEND;TZID=America/Los_Angeles:20221005T173000
DTSTAMP:20260407T205732
CREATED:20220824T231222Z
LAST-MODIFIED:20220824T231806Z
UID:2789-1664986500-1664991000@colleges.claremont.edu
SUMMARY:How do mathematicians believe? (Prof. Brian P Katz)
DESCRIPTION:Title: How do mathematicians believe? \nSpeaker: Brian P Katz (BK)\, Department of Mathematics and Statistics\, CSU\, Long Beach \nAbstract: Love it or hate it\, many people believe that mathematics gives humans access to a kind of truth that is more absolute and universal than other disciplines. If this claim is true\, we must ask: what makes the origins and processes of mathematics special and how can our messy\, biological brains connect to the absolute? If the claim is false\, then what becomes of truth in mathematics? In this session\, we will discuss beliefs about truth and how they play out in the mathematics classroom\, trying to understand a little about identity\, authority\, and tertiary education. \n\nBrian P Katz (BK) is faculty in Mathematics Education at CSULB. BK is passionate about interactions between inquiry\, epistemology\, identity\, authority\, and justice as both a scholar and teacher\, especially in the context of preparing teachers to lead student-centered and rehumanizing classrooms of their own. BK is Associate and Communications Editor with PRIMUS\, a former Chair of IBL SIGMAA\, a current member of the executive committee of SIGMAA RUME\, an MAA textbook author\, co-Editor of the inclusion/exclusion blog\, co-Editor-in-Chief of the MAA Notes textbook series\, and an Associate Director of Project NExT. BK supports two of the best cats in the world and loves to sing.
URL:https://colleges.claremont.edu/ccms/event/how-do-mathematicians-believe-prof-brian-p-katz/
LOCATION:Humanities Auditorium\, Scripps College\, and Zoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.1035221214;-117.709766675
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221006T160000
DTEND;TZID=America/Los_Angeles:20221006T170000
DTSTAMP:20260407T205732
CREATED:20221002T165522Z
LAST-MODIFIED:20230816T042942Z
UID:2946-1665072000-1665075600@colleges.claremont.edu
SUMMARY:On Schauder's Theorem and $s$-numbers (Daniel Akech Thiong\, CGU)
DESCRIPTION:Let \(\mathcal{L}(X\,Y)\) denote the normed vector space of all continuous operators from \(X\) to \(Y\)\, \(X^*\) be the dual space of \(X\)\, and \(\mathcal{K}(X\,Y)\) denote the collection of all compact operators from \(X\) to \(Y\). Denote by \(T^{*} \in \mathcal{L}(Y^{*}\, X^{*} )\) the adjoint operator of \(T\in \mathcal{L} (X\, Y)\). The well known theorem of Schauder states that \(T \in \mathcal{K}(X\,Y) \iff T^{*} \in \mathcal{K}(Y^{*}\,X^{*})\). When an operator fails to be compact\, it is sometimes useful to be able to quantify the degree to which it fails to be compact\, which has led to the introduction of certain approximation quantities\, usually called \(s\)-numbers\, and are closely related to singular values. Specifically\, the concept of \(s\)-numbers\, \(s_n(T)\)\, arises from the need to assign to every operator \(T: X \to Y\) a certain sequence of numbers \(\{s_n(T)\}\) such that \[s_1(T) \geq s_2(T) \geq \dots \geq 0\] which characterizes the degree of compactness/non-compactness of \(T\). The main examples of \(s\)-numbers include approximation numbers and Kolmogorov numbers. Motivated by Schauder’s theorem\, in this talk I will present the relationship between various \(s\)-numbers of an operator \(T\) and its adjoint \(T^*\) between Banach spaces. Joint work with Asuman G. Aksoy. \n1. A. G. Aksoy\, On a theorem of Terzioğlu\, Turk J Math\, 43\, (2019)\, 258-267.2. A. G. Aksoy and M. Nakamura\, The approximation numbers \(\gamma_n(T)\) and Q–compactness\, Math. Japon. 31 (1986)\, no. 6\, 827-840.3. K. Astala\, On measures of non-compactness and ideal variations in Banachspaces\, Ann. Acad. Sci. Fenn. Ser. AI Math. Dissertations 29\, (1980)\, 1-42.4. B. Carl and I. Stephani\, Entropy\, compactness and the approximation of oper-ators\, Cambridge University Press\, 1990.5. C. V. Hutton\, On approximation numbers and its adjoint. Math. Ann. 210(1974)\, 277-280.6. Oja\, Eve\, and Silja Veidenberg. ”Principle of local reflexivity respecting nestsof subspaces and the nest approximation properties.” Journal of FunctionalAnalysis 273.9 (2017): 2916-2938.7. A.Pietsch\, Operator ideals\, North-Holland\, Amsterdam\, 1980.
URL:https://colleges.claremont.edu/ccms/event/on-schauders-theorem-and-s-numbers-daniel-akech-thiong-cgu/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
END:VCALENDAR