BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Claremont Center for the Mathematical Sciences - ECPv6.15.17.1//NONSGML v1.0//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Claremont Center for the Mathematical Sciences X-ORIGINAL-URL:https://colleges.claremont.edu/ccms X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences REFRESH-INTERVAL;VALUE=DURATION:PT1H X-Robots-Tag:noindex X-PUBLISHED-TTL:PT1H BEGIN:VTIMEZONE TZID:America/Los_Angeles BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20210314T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20211107T090000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20220313T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20221106T090000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20230312T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20231105T090000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220208T150000 DTEND;TZID=America/Los_Angeles:20220208T160000 DTSTAMP:20260410T001547 CREATED:20230913T074942Z LAST-MODIFIED:20230913T074942Z UID:3223-1644332400-1644336000@colleges.claremont.edu SUMMARY:Experimental Knot Music v2 (Sam Nelson\, CMC) DESCRIPTION:In this talk I will recount the history of my knot theory-based music project and show an example of my method for creating music from knot homsets. URL:https://colleges.claremont.edu/ccms/event/experimental-knot-music-v2-sam-nelson-cmc/ LOCATION:Zoom CATEGORIES:Topology Seminar ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220209T161500 DTEND;TZID=America/Los_Angeles:20220209T173000 DTSTAMP:20260410T001547 CREATED:20220131T170105Z LAST-MODIFIED:20220131T170634Z UID:2588-1644423300-1644427800@colleges.claremont.edu SUMMARY:Modeling the waning and boosting of immunity (Prof. Lauren Childs) DESCRIPTION:Title: Modeling the waning and boosting of immunity\n\n\nSpeaker: Dr. Lauren Childs\nAssistant Professor and the Cliff and Agnes Lilly Faculty Fellow\nVirgina Tech\n\n \nAbstract: Infectious disease often leads to significant loss of life and burden on society. Understanding disease dynamics is essential to the development and implementation of earlier and more effective interventions. Traditionally\, perfect\, long-lasting protection against disease is assumed to be acquired\, but this need not always be the case. Immunity following natural infection (or immunization) may wane\, increasing susceptibility with time since exposure. In this talk\, we begin by examining a classic model of waning and boosting immunity with a focus on the bifurcation structure and how it changes as reinfection is considered. Then\, we discuss an extension of this framework with an age- and immune status-dependent model of disease transmission. In this model\, susceptibility\, infectiousness\, and symptom severity all vary with immune status\, while age affects contacts and vaccination.  We examine applications of this model to two diseases: pertussis\, commonly known as whooping cough\, and COVID-19. For pertussis\, we examine age-specific incidence and prevalence and find vaccination leads to a resurgence of immunity-modified pertussis in older children\, as observed with effective vaccination programs. For COVID-19\, we examine the role of waning and boosting immunity to estimate seroprevalence in Canada and to evaluate vaccination strategies. We find a large fraction of the Canadian population with some immunity following infection or vaccination\, but that the quality and longevity of this immunity decreases with time. Using contact and demographic data from specific locations coupled with disease-specific parameterization\, our model has the potential to assist in the development and optimization of vaccination schedules. This is important to mitigate resurgence of immunity-modified disease due to natural boosting.\n\n\nDr. Lauren Childs is an Assistant Professor in the Department of Mathematics and the Cliff and Agnes Lilly Faculty Fellow in the College of Science at Virginia Tech. Her research focuses on developing and analyzing mathematical and computational models for a better understanding of the dynamics of infectious diseases\, in particular vector-borne diseases such as malaria. Her research emphasizes the interactions within a host organism\, such as between an invading pathogen and the immune response\, and the impacts of such interactions on transmission between individuals in the population. URL:https://colleges.claremont.edu/ccms/event/modeling-the-waning-and-boosting-of-immunity-prof-lauren-childs/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220214T161500 DTEND;TZID=America/Los_Angeles:20220214T171500 DTSTAMP:20260410T001547 CREATED:20220125T182526Z LAST-MODIFIED:20220125T182526Z UID:2560-1644855300-1644858900@colleges.claremont.edu SUMMARY:Applied Math Seminar -- Project Pitch Day DESCRIPTION: URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-project-pitch-day/ 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:20220215T123000 DTEND;TZID=America/Los_Angeles:20220215T132000 DTSTAMP:20260410T001547 CREATED:20220119T153839Z LAST-MODIFIED:20220210T023821Z UID:2540-1644928200-1644931200@colleges.claremont.edu SUMMARY:Recent trends in using representations in voting theory - committees and cyclic orders (Karl-Dieter Crisman\, Gordon College) DESCRIPTION:One of the most important axioms in analyzing voting systems is that of “neutrality”\, which stipulates that the system should treat all candidates symmetrically. Even though this doesn’t always directly apply (such as in primary systems or those with intentional incumbent protection)\, it is extremely important both in theory and practice.If the voting systems in question additionally are tabulated using some sort of points\, we can translate the notion of neutrality into invariance under an action of the symmetric group on a vector space. This means we can exploit representation theory to analyze them\, and this has been successfully done in a number of social choice contexts from cooperative games to voting on full rankings.In this talk\, we describe recent progress in extending this technique to two interesting situations. First we consider work of Barcelo et al. on voting for committees of representatives (such as for departments in a college)\, where the wreath product of two symmetric groups comes into play. Then we look at work by Crisman et al. regarding voting on “cyclic orders”\, or ways to seat people around a table\, which implicitly has both left and right actions of the symmetric group to consider. URL:https://colleges.claremont.edu/ccms/event/antc-seminar-karl-dieter-crisman-gordon-college/ LOCATION:On Zoom CATEGORIES:Algebra / Number Theory / Combinatorics Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220215T150000 DTEND;TZID=America/Los_Angeles:20220215T160000 DTSTAMP:20260410T001547 CREATED:20230913T075335Z LAST-MODIFIED:20230913T075335Z UID:3225-1644937200-1644940800@colleges.claremont.edu SUMMARY:On Invariants for Surface-Links in Entropic Magmas via Marked Graph Diagrams (Seonmi Choi\, Kyungpook Natl U\, Korea) DESCRIPTION:M. Niebrzydowski and J. H. Przytycki defined a Kauffman bracket magma and constructed the invariant P of framed links in 3-space. The invariant is closely related to the Kauffman bracket polynomial. The normalized bracket polynomial is obtained from the Kauffman bracket polynomial by the multiplication of indeterminate and it is an ambient isotopy invariant for links. In this talk\, we reformulate the multiplication by using a map from the set of framed links to a Kauffman bracket magma in order that P is invariant for links in 3-space. We define a generalization of a Kauffman bracket magma\, which is called a marked Kauffman bracket magma. We find the conditions to be invariant under Yoshikawa moves except the first one and use a map from the set of admissible marked graph diagrams to a marked Kauffman bracket magma to obtain the invariant for surface-links in 4-space. URL:https://colleges.claremont.edu/ccms/event/on-invariants-for-surface-links-in-entropic-magmas-via-marked-graph-diagrams-seonmi-choi-kyungpook-natl-u-korea/ LOCATION:Zoom CATEGORIES:Topology Seminar ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220216T161500 DTEND;TZID=America/Los_Angeles:20220216T173000 DTSTAMP:20260410T001547 CREATED:20220128T164956Z LAST-MODIFIED:20220214T180454Z UID:2577-1645028100-1645032600@colleges.claremont.edu SUMMARY:Solving the Race in Backgammon (Prof. Arthur Benjamin) DESCRIPTION:Title: Solving the Race in Backgammon\n \nSpeaker: Prof. Arthur Benjamin\nSmallwood Family Professor of Mathematics\nHarvey Mudd College\n \nAbstract: Backgammon is perhaps the oldest game that is still played today. It is a game that combines luck with skill\, where two players take turns rolling dice and decide how to move their checkers in the best possible way. It is the ultimate math game\, where players who possess a little bit of mathematical knowledge can have a big advantage over their opponents.  Players also have the opportunity to double the stakes of a game using something called the doubling cube\, which—when used optimally—leads to players winning more in the long run. Optimal use of the doubling cube relies on a player’s ability to estimate their winning chances at any stage of the game.\n\nWhen played to completion\, every game of backgammon eventually becomes a race\, where each player attempts to remove all of their checkers before their opponent does. The goal of our research is to be able to determine the optimal doubling cube action for any racing position\, and approximate the game winning chances for both sides. By calculating the Effective Pip Count for both players and identifying the positions’ Variance Types\, we arrive at a reasonably simple method for achieving this which is demonstrably superior to other popular methods.\n\n\n\n\nArthur Benjamin\, PhD\, Smallwood Family Professor of Mathematics\, is recognized nationally for his ability to perform rapid mental calculations. In 2020 he won the inaugural American Backgammon Tour Online (ABTO) with the best overall performance in a series of 17 national tournaments.  He has published several books on how to make math both fun and easy.  He is also a professional mathemagician and frequently performs at the Magic Castle in Hollywood and nationwide. URL:https://colleges.claremont.edu/ccms/event/solving-the-race-in-backgammon-prof-arthur-benjamin/ LOCATION:Zoom meeting\, United States CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220223T161500 DTEND;TZID=America/Los_Angeles:20220223T173000 DTSTAMP:20260410T001547 CREATED:20220216T183109Z LAST-MODIFIED:20220217T003329Z UID:2626-1645632900-1645637400@colleges.claremont.edu SUMMARY:Modeling Zoonotic Infectious Diseases from Wildlife to Humans (Prof. Linda J. S. Allen) DESCRIPTION:Title: Modeling  Zoonotic Infectious Diseases from Wildlife to Humans \nSpeaker: Prof. Linda J. S. Allen\, P. W. Horn Distinguished Professor Emeritus Texas Tech University \nAbstract: Zoonotic infectious diseases are diseases transmitted from animals to humans. It is estimated that over 60% of human infectious diseases are zoonotic. The Centers for Disease Control and Prevention has identified eight priority zoonoses in the US. Three of the priority zoonoses are avian influenza\, Lyme disease\, and emerging coronaviruses. Spillover of infections from animals to humans depends on a complex pathway from the natural wildlife reservoir.  The natural reservoir for avian influenza virus is wild birds but it is spread to humans from infected chickens. The natural reservoir for the bacterial pathogen causing Lyme disease is mice but it is transmitted to humans through the bite of an infected tick vector.    In this presentation\, we discuss a few of the modeling efforts to better understand the spread of infection in the natural reservoir and the spillover to humans as well as the impacts of demographic and environmental variability on timing of spillover.  \n___________________________________________________________________________________________________ \nLinda J. S. Allen received her PhD in Mathematics from University of Tennessee and was a Professor of Mathematics at Texas Tech University until 2019.  She is currently an Adjunct  Graduate Faculty at Texas Tech University. Her research interests are in mathematical ecology\, epidemiology\, and immunology.\nhttps://www.math.ttu.edu/~lallen/\nhttps://www.depts.ttu.edu/provost/scholars/lindaallen.php\n\nResearch Experiences for Undergraduates at Texas Tech University “Mathematical\, Statistical\, and Computational Methods for Problems in the Life Sciences”\n June 6-July 20\, 2022\n\nREU Applications Due: March 6\, 2022:\nhttps://www.math.ttu.edu/undergraduate/reu2022/ URL:https://colleges.claremont.edu/ccms/event/modeling-zoonotic-infectious-diseases-from-wildlife-to-humans-prof-linda-j-s-allen/ LOCATION:Zoom meeting\, United States CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220228T161500 DTEND;TZID=America/Los_Angeles:20220228T171500 DTSTAMP:20260410T001547 CREATED:20220125T180406Z LAST-MODIFIED:20220317T190247Z UID:2558-1646064900-1646068500@colleges.claremont.edu SUMMARY:Applied Math Seminar -- Illia Karabash (IAMM of NAS of Ukraine and TU Dortmund) DESCRIPTION:Title: Pareto optimization of resonances and optimal control methods \nAbstract: \nFirst successes in fabrication of high-Q optical cavities two decades ago led to active applied physics and numerical studies of optimization problems involving resonances. The questions is how to design an open resonator that has an eigenvalue as close as possible to the real line under certain constraints. The analytic spectral optimization theory for such types of non-Hermitian eigenproblems is still in the stage of development. It is planned to explain briefly why the Pareto optimization settings are natural for non-Hermitian spectral problems\, and how the associated nonlinear Euler-Lagrange eigenproblems can be rigorously derived for the case of resonances in 1-d photonic crystals. Then we concentrate on the recently developed optimal control approach of (Karabash\, Koch\, Verbytskyi `20) and show how it is related to Pareto frontiers and Hamilton-Jacobi-Bellman PDEs. An application of Pontryagin Maximum Principle and a special method of minimum-time shooting to a line of no-return will be also discussed. URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-illia-karabash-tu-dortmund/ 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:20220301T123000 DTEND;TZID=America/Los_Angeles:20220301T132000 DTSTAMP:20260410T001547 CREATED:20220111T231348Z LAST-MODIFIED:20220221T211055Z UID:2524-1646137800-1646140800@colleges.claremont.edu SUMMARY:Gap theorems for linear forms and for rotations on higher dimensional tori (Alan Haynes\, University of Houston) DESCRIPTION:This talk is based on joint work with Jens Marklof\, and with Roland Roeder. The three distance theorem states that\, if x is any real number and N is any positive integer\, the points x\, 2x\, … \, Nx modulo 1 partition the unit interval into component intervals having at most 3 distinct lengths. We will present two higher dimensional analogues of this problem. In the first we consider points of the form mx+ny modulo 1\, where x and y are real numbers and m and n are integers taken from an expanding set in the plane. This version of the problem was previously studied by Geelen and Simpson\, Chevallier\, Erdős\, and many other people\, and it is closely related to the Littlewood conjecture in Diophantine approximation. The second version of the problem is a straightforward generalization to rotations on higher dimensional tori which\, surprisingly\, has been mostly overlooked in the literature. For the two dimensional torus\, we are able to prove a five distance theorem\, which is best possible. In higher dimensions we also have bounds\, but establishing optimal bounds is an open problem. URL:https://colleges.claremont.edu/ccms/event/antc-seminar-alan-haynes-university-of-houston/ LOCATION:On Zoom CATEGORIES:Algebra / Number Theory / Combinatorics Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220301T150000 DTEND;TZID=America/Los_Angeles:20220301T160000 DTSTAMP:20260410T001547 CREATED:20230913T075541Z LAST-MODIFIED:20230913T075541Z UID:3226-1646146800-1646150400@colleges.claremont.edu SUMMARY:Two-Bridge Knots Admit no Purely Cosmetic Surgeries (Thomas Mattman\, California State University\, Chico) DESCRIPTION:(Joint with Ichihara\, Jong\, and Saito). We show that two-bridge knots admit no purely cosmetic surgeries\, ie no pair of distinct Dehn surgeries on such a knot produce 3-manifolds that are homeomorphic as oriented manifolds. Our argument is based on a recent result by Hanselman and a study of signature and finite type invariants of knots as well as the SL(2\,\C) Casson invariant. URL:https://colleges.claremont.edu/ccms/event/two-bridge-knots-admit-no-purely-cosmetic-surgeries-thomas-mattman-california-state-university-chico/ LOCATION:Zoom CATEGORIES:Topology Seminar ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220302T161500 DTEND;TZID=America/Los_Angeles:20220302T173000 DTSTAMP:20260410T001547 CREATED:20220221T184448Z LAST-MODIFIED:20220221T202722Z UID:2631-1646237700-1646242200@colleges.claremont.edu SUMMARY:On sparse geometry of numbers (Prof. Lenny Fukshansky) DESCRIPTION:Title: On sparse geometry of numbers\n\nSpeaker: Prof. Lenny Fukshansky\, Department of Mathematics\, Claremont McKenna College\n\n\nAbstract: Geometry of Numbers is an area of mathematics pioneered by Hermann Minkowski at the end of the 19th century. He achieved stunning success introducing a novel geometric framework into the study of algebraic numbers\, prompting mathematicians of later generations to compare his work to “the story of Saul\, who set out to look for his father’s asses and discovered a Kingdom” (J. V. Armitage). In this talk\, we will look at some contemporary variations of Minkowski’s classical results that will take us on a journey from linear algebra and convex analysis to algebraic number theory and arithmetic geometry. This is joint work with P. Guerzhoy and S. Kuehnlein. \n\n\nLenny Fukshansky is a Professor of Mathematics at Claremont McKenna College. His work is at the intersection of number theory\, discrete geometry and geometric combinatorics. He is especially interested in lattices\, quadratic forms\, polynomials\, height functions and Diophantine problems. When not doing math\, Lenny loves biking in the mountains and drinking wine\, although tries not to do it simultaneously. URL:https://colleges.claremont.edu/ccms/event/on-sparse-geometry-of-numbers/ 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:20220308T123000 DTEND;TZID=America/Los_Angeles:20220308T132000 DTSTAMP:20260410T001547 CREATED:20220112T041154Z LAST-MODIFIED:20220222T011851Z UID:2527-1646742600-1646745600@colleges.claremont.edu SUMMARY:Equidistribution of norm 1 elements in cyclic number fields (Kate Petersen\, University of Minnesota Duluth) DESCRIPTION:By Hilbert’s theorem 90\, if K is a cyclic number field with Galois group generated by g\, then any element of norm 1 can be written as a/g(a).  This gives rise to a natural height function on elements of norm 1.  I’ll discuss equidistribution problems and show that these norm 1 elements are equidistributed (in an appropriate quotient) with respect to this height. URL:https://colleges.claremont.edu/ccms/event/antc-seminar-kate-petersen-university-of-minnesota-duluth/ LOCATION:On Zoom CATEGORIES:Algebra / Number Theory / Combinatorics Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220308T150000 DTEND;TZID=America/Los_Angeles:20220308T160000 DTSTAMP:20260410T001547 CREATED:20230913T075742Z LAST-MODIFIED:20230913T075742Z UID:3228-1646751600-1646755200@colleges.claremont.edu SUMMARY:Systematically Detecting Flypes and Hexagonal Mosaics (Hugh Howards\, Wake Forest University) DESCRIPTION:We talk about building knots using mosaics which were as introduced as a way of modeling quantum knots by Lomonaco and Kauffman and a newer variant\, hexagonal mosaics\, introduced by Jennifer McLoud-Mann. In the process we find a new bound on crossing numbers for hexagonal mosaics and find an infinite family of knots which do not achieve their hexagonal mosaic number while also in a projection which achieves their crossing number\, extending a result of Lew Ludwig et al. In the process we introduce a new tool which makes it easier to systematically recognize when two knots differ by a sequence of Flypes (for example\, giving a process to recognize that the Perko Pair were in fact the same knot). No background with mosaics or flypes is necessary. This is joint work with Jiong Li* and Xiotian Liu* (* indicates undergraduate students). URL:https://colleges.claremont.edu/ccms/event/systematically-detecting-flypes-and-hexagonal-mosaics-hugh-howards-wake-forest-university/ LOCATION:Zoom CATEGORIES:Topology Seminar ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220309T160000 DTEND;TZID=America/Los_Angeles:20220309T174500 DTSTAMP:20260410T001547 CREATED:20220307T083704Z LAST-MODIFIED:20220307T083802Z UID:2654-1646841600-1646847900@colleges.claremont.edu SUMMARY:CCMS Field Committee Meeting DESCRIPTION:The Field Committee Meeting is our chance to socialize with our colleagues and coordinate our course offerings for the coming academic year (2022-2023). Please come to discuss course offerings and other synergistic items. Refreshments in the Shanahan sunken courtyard at HMC starting at 4:00\, meeting in Shanahan B460 at 4:20. \nWe will be back in person for this meeting. A Zoom link will also be sent out\, for those unable to attend physically. URL:https://colleges.claremont.edu/ccms/event/ccms-field-committee-meeting-2/ LOCATION:Shanahan B460\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States CATEGORIES:Colloquium,Special Event END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220321T161500 DTEND;TZID=America/Los_Angeles:20220321T171500 DTSTAMP:20260410T001547 CREATED:20220110T210855Z LAST-MODIFIED:20230816T041537Z UID:2521-1647879300-1647882900@colleges.claremont.edu SUMMARY:Applied Math Seminar -- Jamie Haddock (HMC) DESCRIPTION:Title: Connections between Iterative Methods for Linear Systems and Consensus Dynamics on Networks \nAbstract:\nThere is a well-established linear algebraic lens for studying consensus dynamics on networks\, which has yielded significant theoretical results in areas like distributed computing\, modeling of opinion dynamics\, and ranking methods. Recently\, strong connections have been made between problems of consensus dynamics on networks and classical iterative methods in numerical linear algebra. This talk will discuss an instance of these connections\, in particular between the gossip methods in distributed computing and the Kaczmarz methods in numerical linear algebra. We will present theoretical convergence results\, empirical and numerical simulation results\, and discuss future work in applying these numerical linear algebraic techniques to broader and more complex consensus dynamics models\, especially those coming from opinion dynamics and ranking. URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-jamie-haddock-hmc/ 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:20220322T123000 DTEND;TZID=America/Los_Angeles:20220322T132000 DTSTAMP:20260410T001547 CREATED:20220128T031313Z LAST-MODIFIED:20220321T182413Z UID:2575-1647952200-1647955200@colleges.claremont.edu SUMMARY:Continuous extensions of Ramanujan-expandable arithmetic functions (Matthew Fox\, Perimeter Institute for Theoretical Physics and Chai Karamchedu\, Sandia National Labs) DESCRIPTION:We describe a natural way to continuously extend arithmetic functions that admit a Ramanujan expansion and derive the conditions under which such an extension exists. In particular\, we show that the absolute convergence of a Ramanujan expansion does not guarantee the convergence of its real variable generalization. We take the divisor function as a case study\, and consider how to continuously extend it to the reals. URL:https://colleges.claremont.edu/ccms/event/antc-seminar-matthew-fox-perimeter-institute-for-theoretical-physics-and-chai-karamchedu-sandia-national-labs/ LOCATION:On Zoom CATEGORIES:Algebra / Number Theory / Combinatorics Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220322T150000 DTEND;TZID=America/Los_Angeles:20220322T160000 DTSTAMP:20260410T001547 CREATED:20230913T075943Z LAST-MODIFIED:20230913T075943Z UID:3229-1647961200-1647964800@colleges.claremont.edu SUMMARY:Towards Knot Homology for 3-Manifolds (Aaron Mazel-Gee\, California Institute of Technology) DESCRIPTION:The Jones polynomial is an invariant of knots in R^3. Following a proposal of Witten\, it was extended to knots in 3-manifolds by Reshetikhin-Turaev using quantum groups. Khovanov homology is a categorification of the Jones polynomial of a knot in R^3\, analogously to how ordinary homology is a categorification of the Euler characteristic of a space. It is a major open problem to extend Khovanov homology to knots in 3-manifolds. In this talk\, I will explain forthcoming work towards solving this problem\, joint with Leon Liu\, David Reutter\, Catharina Stroppel\, and Paul Wedrich. Roughly speaking\, our contribution amounts to the first instance of a braiding on 2-representations of a categorified quantum group. More precisely\, we construct a braided (infinity\,2)-category that simultaneously incorporates all of Rouquier’s braid group actions on Hecke categories in type A\, articulating a novel compatibility among them. URL:https://colleges.claremont.edu/ccms/event/towards-knot-homology-for-3-manifolds-aaron-mazel-gee-california-institute-of-technology/ LOCATION:Zoom CATEGORIES:Topology Seminar ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220323T161500 DTEND;TZID=America/Los_Angeles:20220323T173000 DTSTAMP:20260410T001547 CREATED:20220320T201004Z LAST-MODIFIED:20220320T201104Z UID:2667-1648052100-1648056600@colleges.claremont.edu SUMMARY:The 6 Cs - Covid and the 5 Claremont Colleges (Prof. Maryann E. Hohn) DESCRIPTION:Title: The 6 Cs – Covid and the 5 Claremont Colleges \nSpeaker: Maryann E. Hohn\, Department of Mathematics and Statistics\, Pomona College \nAbstract: The Claremont Colleges’ (5Cs) environment consists of students\, faculty\, and staff that congregate together in indoor spaces\, creating a higher risk for possible COVID-19 infection.  Additionally\, a majority of the students live on campus\, presenting a relatively closed campus environment that limits students’ interactions with their greater community. However\, the close knit quarters in which students live may contribute to a rise in infections that may ultimately reach other more vulnerable populations on the campuses such as faculty and staff. \n  \nIn this talk\, we present several models of COVID-19 spread at the 5Cs.  We start with an early model consisting of several interconnected modified SEIR differential equations to investigate the dynamics between different populations at the 5Cs and the influence of mitigation techniques such as students adhering to health protocols and contact tracing. With the addition of vaccines\, we show how the model changed\, how student researchers are contributing to our models\, and how a few students created their own.\n \n\nDr. Maryann Hohn is a Visiting Assistant Professor of Mathematics and Statistics at Pomona College.  Her research interests lie in mathematical modeling and data analysis to solve societal problems.  She utilizes a variety of mathematical tools such as stochastic processes\, PDEs\, numerical analysis\, and graph theory.  She also actively supports groups like AWM that support students in underrepresented groups\, mentors both undergraduate and graduate students\, and advises undergraduate researchers. URL:https://colleges.claremont.edu/ccms/event/the-6-cs-covid-and-the-5-claremont-colleges-prof-maryann-e-hohn/ LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid CATEGORIES:Colloquium END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220329T123000 DTEND;TZID=America/Los_Angeles:20220329T132000 DTSTAMP:20260410T001547 CREATED:20220127T202631Z LAST-MODIFIED:20220326T051329Z UID:2573-1648557000-1648560000@colleges.claremont.edu SUMMARY:Peg solitaire in multiple colors on graphs (Tara Davis\, Hawaii Pacific University and Roberto Soto\, Cal State Fullerton) DESCRIPTION:Peg solitaire is a popular one person board game that has been played in many countries on various board shapes. Recently\, peg solitaire has been studied extensively in two colors on mathematical graphs. We will present our rules for multiple color peg solitaire on graphs. We will present some student and faculty results classifying the solvability of the game on several graceful graphs\, as well as discuss open questions. URL:https://colleges.claremont.edu/ccms/event/antc-seminar-tara-davis-hawaii-pacific-university-and-roberto-soto-cal-state-fullerton/ LOCATION:On Zoom CATEGORIES:Algebra / Number Theory / Combinatorics Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220329T150000 DTEND;TZID=America/Los_Angeles:20220329T160000 DTSTAMP:20260410T001547 CREATED:20230913T080151Z LAST-MODIFIED:20230913T080151Z UID:3230-1648566000-1648569600@colleges.claremont.edu SUMMARY:Kauffman Bracket Skein Modules and their Structure (Rhea Palak Bakshi\, ETH Zurich) DESCRIPTION:Skein modules were introduced by Jozef H. Przytycki as generalisations of the Jones and HOMFLYPT polynomial link invariants in the 3-sphere to arbitrary 3-manifolds. The Kauffman bracket skein module (KBSM) is the most extensively studied of all. However\, computing the KBSM of a 3-manifold is notoriously hard\, especially over the ring of Laurent polynomials. With the goal of finding a definite structure of the KBSM over this ring\, several conjectures and theorems were stated over the years for KBSMs. We show that some of these conjectures\, and even theorems\, are not true. In this talk I will briefly discuss a counterexample to Marche’s generalisation of Witten’s conjecture. I will show that a theorem stated by Przytycki in 1999 about the KBSM of the connected sum of two handlebodies does not hold. I will also give the exact structure of the KBSM of the connected sum of two solid tori. URL:https://colleges.claremont.edu/ccms/event/kauffman-bracket-skein-modules-and-their-structure-rhea-palak-bakshi-eth-zurich/ LOCATION:Zoom CATEGORIES:Topology Seminar ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220330T161500 DTEND;TZID=America/Los_Angeles:20220330T173000 DTSTAMP:20260410T001547 CREATED:20220311T141931Z LAST-MODIFIED:20220328T160742Z UID:2658-1648656900-1648661400@colleges.claremont.edu SUMMARY:Voronoi Tessellations: Optimal Quantization and Modeling Collective Behavior (Prof. Rustum Choksi) DESCRIPTION:Title: Voronoi Tessellations: Optimal Quantization and Modeling Collective Behavior \nSpeaker: Prof. Rustum Choksi\, Department of Mathematics and Statistics\, McGill University \nAbstract:  Given a set of N distinct points (generators) in a domain (a bounded subset of Euclidean space or a compact Riemannian manifold)\, a Voronoi tessellation is a partition of the domain into N regions (Voronoi cells) with the following property: all points in the interior of the ith Voronoi cell are closer to the ith generating point than to any other generator.  Voronoi tessellations give rise to a wealth of analytic\, geometric\, and computational questions. They are also very useful in mathematical and computational modeling. \nThis talk will consist of three parts: \n\nWe begin by introducing the basic definitions and geometry of Voronoi tessellations\,  centroidal Voronoi tessellations (CVTs)\, and the notion of optimal quantization.\nWe will then address simple\, yet rich\, questions on optimal quantization on the 2D and 3D torus\, and on  the 2-sphere. We will address the geometric nature of the global minimizer (the optimal CVT)\, presenting a few conjectures and a short discussion on rigorous asymptotic results and their proofs.\nWe will then shift gears to address the use Voronoi tessellations in modeling collective behaviors.\n\nCollective behavior in biological systems\, in particular the contrast and connection between individual and collective behavior\, has fascinated researchers for decades. A well-studied paradigm entails the tendency of groups of individual agents to form flocks\, swarms\, herds\, schools\, etc. We will first review some well-known and widely used models for collective behavior.  We will then present a new dynamical model for generic crowds in which individual agents are aware of their local Voronoi environment — i.e.\, neighboring agents and domain boundary features –and may seek static target locations. Our model incorporates features common to many other active matter models like collision avoidance\, alignment among agents\, and homing toward targets. However\, it is novel in key respects: the model combines topological and metrical features in a natural manner based upon the local environment of the agent’s Voronoi diagram. With only two parameters\, it captures a wide range of collective behaviors. The results of many simulations will be shown. \n\nRustum Choksi received the PhD degree in mathematics from Brown University\, in 1994. He held post-doctoral positions with the Center for Nonlinear Analysis\, Carnegie Mellon University and the Courant Institute\, New York University. From 1997 to 2010\, he was a faculty member with the Department of Mathematics\, Simon Fraser University. In 2010\, he joined McGill University where he is currently a full professor with the Department of Mathematics and Statistics. His main research interests include interaction of the calculus of variations and partial differential equations with pattern formation. URL:https://colleges.claremont.edu/ccms/event/voronoi-tessellations-optimal-quantization-and-modeling-collective-behavior-prof-rustum-choksi/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220404T161500 DTEND;TZID=America/Los_Angeles:20220404T173000 DTSTAMP:20260410T001547 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:20260410T001547 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:20260410T001547 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:20260410T001547 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:20260410T001547 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:20260410T001547 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:20260410T001547 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:20260410T001547 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:20260410T001547 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 END:VCALENDAR