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:20200308T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20201101T090000 END:STANDARD 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:20220503T150000 DTEND;TZID=America/Los_Angeles:20220503T160000 DTSTAMP:20260414T020521 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:20220412T150000 DTEND;TZID=America/Los_Angeles:20220412T160000 DTSTAMP:20260414T020521 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:20220330T161500 DTEND;TZID=America/Los_Angeles:20220330T173000 DTSTAMP:20260414T020521 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:20220329T150000 DTEND;TZID=America/Los_Angeles:20220329T160000 DTSTAMP:20260414T020521 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:20220322T150000 DTEND;TZID=America/Los_Angeles:20220322T160000 DTSTAMP:20260414T020521 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:20220308T150000 DTEND;TZID=America/Los_Angeles:20220308T160000 DTSTAMP:20260414T020521 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:20220301T150000 DTEND;TZID=America/Los_Angeles:20220301T160000 DTSTAMP:20260414T020521 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:20220215T150000 DTEND;TZID=America/Los_Angeles:20220215T160000 DTSTAMP:20260414T020521 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:20220209T161500 DTEND;TZID=America/Los_Angeles:20220209T173000 DTSTAMP:20260414T020521 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:20220208T150000 DTEND;TZID=America/Los_Angeles:20220208T160000 DTSTAMP:20260414T020521 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:20211201T163000 DTEND;TZID=America/Los_Angeles:20211201T180000 DTSTAMP:20260414T020521 CREATED:20211118T173248Z LAST-MODIFIED:20211119T180218Z UID:2487-1638376200-1638381600@colleges.claremont.edu SUMMARY:A tribute to Professor Ellis Cumberbatch (1934-2021) DESCRIPTION:Title: A tribute to Professor Ellis Cumberbatch (1934-2021) \nAbstract: The math colloquium on December 1st will be devoted to remembrances of our beloved CGU colleague Professor Ellis Cumberbatch\, a pillar of the Claremont mathematics community\, who passed away in September. Three brief talks by his friends and collaborators\, Professor John Ockendon (University of Oxford)\, Dr. Henok Abebe (Sandia National Labs)\, and Professor Asuman Aksoy (Claremont McKenna College) will be followed by informal reminiscences by any of the attendees who wish to share their stories involving Ellis. You are welcome to have your glass of wine\, beer\, or other drink so we can have a virtual toast in his memory. This zoom session will be recorded so it can be shared with those who wish to watch it later. \n \n \nCGU’s remembrance of Prof. Cumberbatch can be found here. URL:https://colleges.claremont.edu/ccms/event/a-tribute-to-professor-ellis-cumberbatch-1934-2021/ LOCATION:Zoom CATEGORIES:Colloquium END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20211117T163000 DTEND;TZID=America/Los_Angeles:20211117T174500 DTSTAMP:20260414T020521 CREATED:20211103T151322Z LAST-MODIFIED:20211109T213529Z UID:2457-1637166600-1637171100@colleges.claremont.edu SUMMARY:Collective Behavior in Locust Swarms from Data to Differential Equations (Prof. Jasper Weinburd) DESCRIPTION:Title: Collective Behavior in Locust Swarms from Data to Differential Equations\n  \nProf. Jasper Weinburd\nDepartment of Mathematics\nHarvey Mudd College\n\n  \n\nAbstract: Locusts are devastating pests that infest and destroy crops. Locusts forage and migrate in large swarms which exhibit distinctive shapes that improve efficiency on the group level\, a phenomenon known as collective behavior. One of the difficulties in understanding and preventing these collective behaviors has been a lack of biological data for individual interactions between locusts.  In this talk\, I’ll first describe mathematical models for these phenomena on both the collective and individual levels. I’ll then discuss a collaboration with students at Harvey Mudd College using field data derived from video footage of locust swarms. We digitized nearly 20\,000 locust trajectories and revealed individual behaviors that depend on a locust’s motion and the relative position of its nearby neighbors. Finally\, I will illustrate the challenges and potential benefits of incorporating these field observations into our models of locust swarms.\n\n\n\n\n\nProf. Jasper Weinburd is an NSF Postdoctoral Fellow at Harvey Mudd College. He received his PhD from the University of Minnesota. In his research he uses dynamical systems\, differential equations\, and data science to model natural phenomena of self-organization. He loves hiking in the San Gabriel Mountains with his dog\, but he still hasn’t climbed Mt. Baldy. URL:https://colleges.claremont.edu/ccms/event/collective-behavior-in-locust-swarms-using-agent-based-and-continuous-models-prof-jasper-weinburd/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20211110T163000 DTEND;TZID=America/Los_Angeles:20211110T174500 DTSTAMP:20260414T020521 CREATED:20210926T203309Z LAST-MODIFIED:20210926T224934Z UID:2391-1636561800-1636566300@colleges.claremont.edu SUMMARY:Projections on Banach spaces and a lifting property of operators (Prof. Botelho) DESCRIPTION:Title: Projections on Banach spaces and a lifting property of operators \nProf. Maria Fernanda Botelho\nDepartment of Mathematical Sciences\nThe University Of Memphis \nAbstract: In this talk I will present properties of contractive projections and explain their role in the existence of norm preserving lifts of operators. A pair of Banach spaces (X\, J)\, with J a closed subspace of X\, has the quotient lifting property (QLP) iff for every space Y and S ∈ L(Y\, X/J)\, there is Ŝ  ∈ L(Y\, X)such that S = π ◦ Ŝ\, where π denotes the quotient map from X onto X/J. This property was motivated by Lindenstrauss and Tzafriri lifting property for Banach spaces. \nA pair of Banach spaces (X\,J) has the QLP iff J is the kernel of a contractive projection on X. Several illustrative examples will be discussed. \n\n\n\n  \nBio-Sketch for Fernanda Botelho: \nI am a full professor in the Department of Mathematical Sciences at the University of Memphis. I earned a Doctor of Philosophy degree in Mathematics from the University of California at Berkeley and I did my undergraduate studies at the Universidade do Porto\, Portugal.  \nMy main research interest is in Operator Theory and Functional Analysis. I have authored and co-authored more than 80 research articles. I was a Donavant Professor in 2013-2016.  I have been the coordinator for the Mathematical Sciences Graduate Programs since 2015. \nI participated and organized several conferences\, funded by the National Sciences Foundation and in collaboration with the Association for Women in Mathematics. I have served in programs geared to high school teachers and the professional training  of graduate assistants.  URL:https://colleges.claremont.edu/ccms/event/projections-on-banach-spaces-and-a-lifting-property-of-operators-prof-botelho/ LOCATION:Zoom CATEGORIES:Colloquium END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20211103T163000 DTEND;TZID=America/Los_Angeles:20211103T173000 DTSTAMP:20260414T020521 CREATED:20211028T230900Z LAST-MODIFIED:20211028T231026Z UID:2450-1635957000-1635960600@colleges.claremont.edu SUMMARY:Topological descriptions of protein folding (Prof. Helen Wong) DESCRIPTION:Title: Topological descriptions of protein folding\nSpeaker:  Prof. Helen Wong\, Department of Mathematical Sciences\, Claremont-McKenna College. \nAbstract: Knotting in proteins was once considered exceedingly rare. However\, systematic analyses of solved protein structures over the last two decades have demonstrated the existence of many deeply knotted proteins\, and researchers now hypothesize that the knotting presents some functional or evolutionary advantage for those proteins. Unfortunately\, little is known about how proteins fold into knotted configurations. In this talk\, we approach this problem from a theoretical point of view\, using techniques from the mathematical study of shape: Topology. We’ll discuss the topological tools currently used to quantify the complexity and depth of knotting in proteins\, and compare and contrast topological descriptions of proposed pathways for proteins to form knots. \n\nHelen Wong is an Associate Professor of Mathematics in the Department of Mathematical Sciences at Claremont McKenna College and an alumna of Pomona College. Her research is in low-dimensional quantum topology\, and applications of topology to molecular biology and quantum computation. She is particularly interested in the relationship between quantum invariants and related constructions (especially the Kauffman bracket skein algebra of a surface) and non-quantum invariants from topology and hyperbolic geometry. URL:https://colleges.claremont.edu/ccms/event/topological-descriptions-of-protein-folding-prof-helen-wong/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20211027T163000 DTEND;TZID=America/Los_Angeles:20211027T174500 DTSTAMP:20260414T020521 CREATED:20211015T170746Z LAST-MODIFIED:20211015T171056Z UID:2439-1635352200-1635356700@colleges.claremont.edu SUMMARY:Clouds and Climate (Prof. Tapio Schneider) DESCRIPTION:Title: Clouds and Climate \nProf. Tapio Schneider\nTheodore Y. Wu Professor of Environmental Science and Engineering\nCalifornia Institute of Technology \nAbstract: Clouds are an essential regulator of climate. They cool Earth on average by 5 degrees centigrade. Yet despite their importance\, the response of clouds to climate change is very uncertain. This is especially true for the low clouds that cover vast areas of tropical oceans. Their primary effect is to cool Earth by reflecting sunlight back to space. I discuss the physics of these clouds\, how their cooling effect may have been very different in past greenhouse climates\, and how they may be affected by rising greenhouse gas concentrations. To predict our climate future more accurately\, breakthroughs in the modeling of clouds and in the accuracy of climate predictions are needed. I will discuss how they may be achieved\, thanks to advances in computing and Earth observations from space and our ability to fuse models with massive amounts of data. \nProf. Tapio Schneider is the Theodore Y. Wu Professor of Environmental Science and Engineering at Caltech and a Senior Research Scientist at JPL. His research focuses on how the climate of Earth and other planets comes about and may change\, for example\, by changes in atmospheric circulation or cloud cover. URL:https://colleges.claremont.edu/ccms/event/clouds-and-climate-prof-tapio-schneider/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20211020T163000 DTEND;TZID=America/Los_Angeles:20211020T174500 DTSTAMP:20260414T020521 CREATED:20211013T194106Z LAST-MODIFIED:20211015T150652Z UID:2433-1634747400-1634751900@colleges.claremont.edu SUMMARY:Panel on Paths in Mathematics After Undergrad DESCRIPTION:Panelists: Tatiana Bradley\, Michelle Goodwin\, Isys Johnson\, John Lentfer\, and Matthew vonAllmen \nWe will have a panel discussion with graduates from the Claremont Consortium who have taken different pathways after graduation. After introductions\, there will be time for open questions from the audience. \nAfterward\, breakout rooms will be open for a casual discussion with the panelists and more participants.\nIncluding a breakout room on the “4+1” Master’s Program at CGU\, with current and past students. \nPanelist Bios: \nTatiana Bradley is a Software Engineer at Google in New York City. She received a bachelor’s degree in Math at Scripps College\, and a PhD in Computer Science (specializing in cryptography) at UC Irvine. At Google\, she works on protecting user data from insider risk. \nMichelle Goodwin is an Associate Vice President at Barclays Investment Bank in San Francisco. She received a bachelor’s degree in Pure Mathematics from Claremont McKenna College in 2016. For Barclays\, she sells institutional investors (e.g. pension funds\, insurance companies\, and hedge funds) securitized products. \nIsys Johnson is a graduate of Pomona College where she double majored in Computer Science and Mathematics. Isys is currently pursuing a PhD in Computer Science at the State University of New York at Buffalo. She is interested in structured linear algebra with applications in machine learning and works as a research assistant for Dr. Atri Rudra. \nJohn Lentfer graduated from Harvey Mudd College in 2021\, where he majored in mathematics. John is currently a first-year mathematics PhD student at UC Berkeley. He is interested in combinatorics and he is also exploring some related areas as he decides what topic to focus on. \nMatthew vonAllmen is a graduate of Pitzer College. He majored in CS-Math through Harvey Mudd College and Mathematical Economics at his home campus. Currently\, he’s pursuing a computer science PhD at Northwestern University\, where his research focuses on interdisciplinary CS-Econ questions of mechanism design and collective prediction. URL:https://colleges.claremont.edu/ccms/event/panel-on-paths-in-mathematics-after-undergrad/ LOCATION:Zoom CATEGORIES:Colloquium END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20211013T163000 DTEND;TZID=America/Los_Angeles:20211013T174500 DTSTAMP:20260414T020521 CREATED:20210829T221306Z LAST-MODIFIED:20210829T223025Z UID:2241-1634142600-1634147100@colleges.claremont.edu SUMMARY:What we talk about when we talk about math (Prof. Lillian Pierce) DESCRIPTION:Title: What we talk about when we talk about math\nSpeaker: Prof. Lillian Pierce\, Nicholas J. and Theresa M. Leonardy Professor of Mathematics at Duke University \nAbstract: In 1864\, the mathematician J. J. Sylvester wrote: \n\nMay not Music be described as the Mathematics of the sense\, Mathematics as Music of the reason?…Thus the musician feels Mathematics\, the mathematician thinks Music\,— Music the dream\, Mathematics the working life.\n\nWhat does it feel like to do mathematics? Can we share the dream rather than the working life? In fact\, the experience of doing mathematics probably feels different to each of us. Mathematics is famous for being abstract. Each of us develops a way to represent those abstractions in our own head. Can we describe what we are doing? Can we see some universal patterns in how we feel as we do mathematics? We will share a wide array of mathematical stories\, to study what mathematics does for us\, and what we do when we engage with it. \n\nLillian Pierce began her study of mathematics in earnest as an undergraduate at Princeton\, where she graduated as valedictorian. After studying in Oxford as a Rhodes Scholar\, she returned to Princeton for her PhD\, and then took up fellowships at the Institute for Advanced Study\, the University of Oxford\, and the Hausdorff Center for Mathematics in Bonn\, before moving to Duke University. Her work has received an NSF CAREER grant\, a Sloan Research Fellowship\, an AWM-Sadosky Prize\, a Joan and Joseph Birman Fellowship\, and a Presidential Early Career Award for Scientists and Engineers. Pierce is currently the Nicholas J. and Theresa M. Leonardy Professor of Mathematics at Duke University\, a Bonn Research Fellow\, and a Fellow of the American Mathematical Society. URL:https://colleges.claremont.edu/ccms/event/what-we-talk-about-when-we-talk-about-math-prof-lillian-pierce/ LOCATION:Zoom CATEGORIES:Colloquium END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210428T161500 DTEND;TZID=America/Los_Angeles:20210428T173000 DTSTAMP:20260414T020521 CREATED:20210204T004751Z LAST-MODIFIED:20210406T011522Z UID:2180-1619626500-1619631000@colleges.claremont.edu SUMMARY:Jennifer Franko Vasquez DESCRIPTION:Title: Puzzling Permutations \nAbstract: Permutations are one of the most fundamental notions in mathematics. In this talk\, we will discuss a visual representation of permutations and introduce some games one can play to help “see” different properties. These puzzling games can be used to provide insight into deeper mathematical content as well. Time permitting\, we will explore connections to topology and biology. This talk is based on joint work with Steven Dougherty and Michael Allocca. \nDr. Vasquez is a Professor of Mathematics at the University of Scranton. URL:https://colleges.claremont.edu/ccms/event/jennifer-franko-vasquez/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210421T161500 DTEND;TZID=America/Los_Angeles:20210421T173000 DTSTAMP:20260414T020521 CREATED:20210204T004641Z LAST-MODIFIED:20210418T004801Z UID:2178-1619021700-1619026200@colleges.claremont.edu SUMMARY:Haydee Lindo DESCRIPTION:Title: Trace Ideals and Endomorphism Rings \nAbstract: In many branches of mathematics\, the full set of “functions” between two objects exhibits remarkable structure; it often forms a group and in some special cases it forms a ring. In this talk\, we will discuss this phenomenon in Commutative Algebra. In particular\, we will talk about the endomorphism ring formed by the homomorphisms from a module to itself by first looking at commuting square matrices. I’ll also introduce the trace ideal and explain its role in the question “What properties of a module does its endomorphism ring detect?” \nDr. Lindo is Assistant Professor at Harvey Mudd College. URL:https://colleges.claremont.edu/ccms/event/haydee-lindo/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210414T161500 DTEND;TZID=America/Los_Angeles:20210414T173000 DTSTAMP:20260414T020521 CREATED:20210204T004536Z LAST-MODIFIED:20210326T180738Z UID:2176-1618416900-1618421400@colleges.claremont.edu SUMMARY:Jennifer Taback DESCRIPTION:Title: Groups\, Graphs and Trees \nAbstract: What do we mean by the geometry of a group? Groups seem like very abstract objects when we first study them\, and it’s natural to ask whether we can visualize them in some way. Given a group with a finite set of generators and relators\, I will describe a canonical way to construct a geometric model of that group\, called a Cayley graph. We will see many examples — both standard and unusual — and I will discuss some fundamental questions from the field of geometric group theory\, including whether this geometric model is well defined. One goal of this field of mathematics is to use the geometry of a group to provide insight into its algebraic structure\, and to use the algebraic properties of a group to draw conclusions about its geometry. This will be a very visual talk\, involving many examples of groups\, graphs\, and trees. \nDr. Jennifer Taback is Isaac Henry Wing Professor and Chair of the Mathematics Department at Bowdoin College. URL:https://colleges.claremont.edu/ccms/event/jennifer-taback/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210407T161500 DTEND;TZID=America/Los_Angeles:20210407T173000 DTSTAMP:20260414T020521 CREATED:20210204T004426Z LAST-MODIFIED:20210324T171332Z UID:2174-1617812100-1617816600@colleges.claremont.edu SUMMARY:Alexandria Volkening DESCRIPTION:Title:\nHow do zebrafish get their stripes — or spots? \nAbstract:\nMany natural and social systems involve individual agents coming together to create group dynamics\, whether the agents are drivers in a traffic jam\, voters in an election\, or locusts in a swarm. Self-organization also occurs at much smaller scales in biology\, though\, and here I will focus on elucidating how brightly colored cells interact to form skin patterns in fish. Because they are surprisingly similar to humans genetically\, we will investigate zebrafish\, which are named for their dark and light stripes. Mutant zebrafish\, on the other hand\, feature variable skin patterns\, including spots and labyrinth curves. All these patterns form as the fish grow due to the interactions of tens of thousands of pigment cells. This leads to the question: how do mutations change cell behavior to create spotted zebrafish? In this talk\, we will combine different modeling approaches (including agent-based and continuum) and topological data analysis to help shed light on this question. More broadly\, we will explore how a combination of biological and mathematical approaches are being used to better understand how genes\, cell behavior\, and visible animal characteristics are related in fish. \nDr. Volkening is an NSF-Simons Fellow at the NSF-Simons Center for Quantitative Biology at Northwestern University URL:https://colleges.claremont.edu/ccms/event/alexandria-volkening/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210331T161500 DTEND;TZID=America/Los_Angeles:20210331T173000 DTSTAMP:20260414T020521 CREATED:20210204T004224Z LAST-MODIFIED:20210312T000546Z UID:2172-1617207300-1617211800@colleges.claremont.edu SUMMARY:An ideal convergence: an example in noncommutative metric geometry (Prof. Konrad Aguilar) DESCRIPTION:Title: An ideal convergence: an example in noncommutative metric geometry \nAbstract: \nThe ability to calculate the distance between sets (rather than just distance between points) has found applications in geometry and group theory as well as various branches of applied mathematics. The Hausdorff distance and the Gromov-Hausdorff distance are standard distances used in these applications. Moreover\, a certain generalization of the Gromov-Hausdorff distance called the quantum Gromov-Hausdorff distance was built by M. A. Rieffel to answer some questions from physics about operator algebras\, which are generalizations of algebras of complex-valued square matrices. In another direction\, J.M.G. Fell introduced a notion of convergence of ideals of a given operator algebra. Can the quantum Gromov-Hausdorff distance also be used to establish convergence of the associated quotient algebras? We discuss this for certain operator algebras called approximately finite-dimensional (AF) C*-algebras\, which can be represented by infinite graphs called Bratteli diagrams where the ideals and quotients are represented by subgraphs. It is the movement of the quotient graphs with respect to the ideal graphs that motivates our question and its answer. The main example we discuss will be given by graph representations of irrational numbers built by their associated continued fractions. (This talk contains joint work with Samantha Brooker\, Frédéric Latrémolière\, and Alejandra López). \nProfessor Konrad Aguilar is Assistant Professor at Pomona College. URL:https://colleges.claremont.edu/ccms/event/konrad-aguilar/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210324T161500 DTEND;TZID=America/Los_Angeles:20210324T173000 DTSTAMP:20260414T020521 CREATED:20210204T004055Z LAST-MODIFIED:20210312T000436Z UID:2170-1616602500-1616607000@colleges.claremont.edu SUMMARY:Our muscles aren't one-dimensional fibres (Prof. Nilima Nigam) DESCRIPTION:Title: Our muscles aren’t one-dimensional fibres. \nAbstract: Skeletal muscles possess rather amazing mechanical properties. They possess an intricate structure\, and behave nonlinearly in response to mechanical stresses. In the 1910s\, A.V. Hill observed muscles heat when they contract\, but not when they relax. Based on experiments on frogs he posited a mathematical description of skeletal muscles which approximated muscle as a 1-dimensional nonlinear and massless spring. This has been a remarkably successful model\, and remains in wide use. Recently\, we’ve realized that skeletal muscle is three dimensional\, has mass\, and fairly complicated structure. I’ll present some work on a mathematical model which captures some of this complexity. \nDr. Nilima Nigam is Professor at Simon Fraser University. URL:https://colleges.claremont.edu/ccms/event/nilima-nigam/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210317T161500 DTEND;TZID=America/Los_Angeles:20210317T173000 DTSTAMP:20260414T020521 CREATED:20210204T003526Z LAST-MODIFIED:20210312T000508Z UID:2168-1615997700-1616002200@colleges.claremont.edu SUMMARY:Finding soap films in non-Euclidean geometry (Prof. David Bachman) DESCRIPTION:Title: Finding soap films in non-Euclidean geometry \nAbstract: In many computer graphics applications we approximate a smooth surface with one made up of tiny triangles. A common problem is to determine which way to move the vertices (the corners of the triangles)\, so that the total surface area decreases. If the boundary of the surface remains fixed\, this allows us to find the soap film surface spanned by that boundary curve. In Euclidean geometry this leads to the famous “cotan-Laplace formula.” After reviewing this formula we will introduce spherical and hyperbolic space\, and discuss a solution to the same problem in those geometries. \nDr. Bachman is Professor of Mathematics at Pitzer College and Director of the Claremont Center for the Mathematical Sciences. URL:https://colleges.claremont.edu/ccms/event/david-bachman/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210303T161500 DTEND;TZID=America/Los_Angeles:20210303T173000 DTSTAMP:20260414T020521 CREATED:20210204T003334Z LAST-MODIFIED:20210221T214207Z UID:2166-1614788100-1614792600@colleges.claremont.edu SUMMARY:Ioana Dumitriu DESCRIPTION:Title: Spectral gap in random regular graphs and hypergraphs \nAbstract: Random graphs and hypergraphs have been used for decades to model large-scale networks\, from biological\, to electrical\, and to social. Various random graphs (and their not-so-random properties) have been connected to algorithms solving problems from community detection to matrix completion\, coding theory\, and various other statistics / machine learning fundamental questions; in the past decade\, this research area has expanded to include random hypergraphs. One of these special properties is the spectral gap for graph-associated matrices; roughly speaking\, it means that the main eigenvalue(s) are well-separated from the bulk and it guarantees strong connectivity properties. This talk will take a look at the spectra of adjacency / Laplacian matrices for some random regular models\, explain how we know that the spectral gap is there\, and connect spectral properties to the aforementioned applications. It will cover joint work with Gerandy Brito\, Kameron Decker Harris\, and Yizhe Zhu. \nIoana Dumitriu is a Professor of Mathematics at The University of California\, San Diego. URL:https://colleges.claremont.edu/ccms/event/ioana-dumitru/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210224T161500 DTEND;TZID=America/Los_Angeles:20210224T173000 DTSTAMP:20260414T020521 CREATED:20210116T021257Z LAST-MODIFIED:20210209T220719Z UID:2142-1614183300-1614187800@colleges.claremont.edu SUMMARY:Prof. Lori Ziegelmeier DESCRIPTION:Title: Using Topology to Measure Shape in Data \nAbstract: Data of various kinds is being collected at an enormous rate\, and in many different forms. Often\, the data are equipped with a notion of distance that reflects similarity in some sense. Using this similarity measure\, certain topological features–e.g. the number of connected components\, loops\, and trapped volumes–can be ascertained and can provide insight into the structure of these complex data sets. In this talk\, I will introduce topology and a fundamental tool of topological data analysis\, persistent homology. Then\, we will see how these tools can be used for clustering\, with machine learning\, and to explain features in data. In particular\, we will discuss (1) using persistence to explore the relationship between country development and geography\, (2) vectorizing persistence information via a persistence image to analyze the discrete dynamical system of the linked twist map\, and (3) explore notions of minimal generators to extract geometric meaning from homological features. \nDr. Ziegelmeier is an Associate Professor at Macalester College. URL:https://colleges.claremont.edu/ccms/event/prof-lori-ziegelmeier/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210217T161500 DTEND;TZID=America/Los_Angeles:20210217T171500 DTSTAMP:20260414T020521 CREATED:20210116T021143Z LAST-MODIFIED:20210204T000155Z UID:2140-1613578500-1613582100@colleges.claremont.edu SUMMARY:Dr. Homan Igehy DESCRIPTION:Title: Quantitative Investment and Modern Portfolio Theory \nAbstract:\nInvestment strategies come in many flavors. Quantitative strategies incorporate or fully direct investment based on mathematical models. One of the cornerstones of investment is portfolio management\, and modern portfolio theory can serve as a basis for quantitative portfolio management. In this talk\, we will discuss quantitative investing and how modern portfolio theory can be incorporated into it. We’ll take an intuitive approach toward understanding modern portfolio theory and discuss how it can (at times\, spectacularly) go wrong. \nHoman Igehy is a managing director of D. E. Shaw & Co.\, L.P. and a member of the D. E. Shaw group’s Systematic Futures trading unit. In that capacity\, Dr. Igehy contributes to the research and development of forecast models and the technical infrastructure supporting the unit’s research efforts. He joined the D. E. Shaw group in 2003. Dr. Igehy received a B.S. and Ph.D.\, each in computer science\, from Stanford University. URL:https://colleges.claremont.edu/ccms/event/dr-homan-igehy/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210210T161500 DTEND;TZID=America/Los_Angeles:20210210T171500 DTSTAMP:20260414T020521 CREATED:20210116T020409Z LAST-MODIFIED:20210116T020409Z UID:2136-1612973700-1612977300@colleges.claremont.edu SUMMARY:Prof. Henry Schellhorn DESCRIPTION:Title: No-arbitrage pricing in a market for position on a multilane freeway\, with an application to lane changing \nAbstract: We introduce a trading mechanism allowing cars to change position in a multilane congested freeway by doing peer-to-peer transactions. For the car initiating the operation\, or incoming car\, the goal can be to increase speed\, to have less speed variability\, to join a platoon\, or to join an exit lane that is slower but full. We focus in this paper on the maneuver where the incoming car changes lanes by asking an adjacent car on a busy target lane (to the left or right) to slow down\, but we also consider the case where the incoming car asks the car in front of it to change lanes\, so that the incoming car takes its position but stays on the same lane. In both cases\, the incoming car pays a transaction fee.\nWe solve the microscopic problem of determining these transaction fees by (i) embedding the problem in a macroscopic model and (ii) determining lane prices by the no arbitrage condition. This no-arbitrage condition states that no future trajectory will always be better than all others in terms of both speed and money exchanged to change lanes. The terms “always better” has to be understood in a probabilistic sense: we analyze a stochastic model\, in order to include uncertainty in both the speed model and the driver decision. We highlight the advantages of no-arbitrage theory over a traditional expected utility maximization approach. First\, no-arbitrage pricing does not require any individual data\, whether on the driver’s risk-aversion\, preference of speed over money or increased safety\, or final destination. Second\, the macroscopic model that we use considers endogeneously the global impact of any individual priced transaction\, as opposed to local models that require extraneous assumptions on the road conditions after the transaction.\nWe implemented a simple case of our lane change model. After simulating it extensively\, we implemented it in real-time\, with 2 cars trading position on a freeway using macroscopic speed information to determine the transaction fee. \nProf. Schellhorn is Professor of Mathematics and Academic Director of the Financial Engineering Program at Claremont Graduate University. URL:https://colleges.claremont.edu/ccms/event/prof-henry-schellhorn/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210203T161500 DTEND;TZID=America/Los_Angeles:20210203T173000 DTSTAMP:20260414T020521 CREATED:20210116T020731Z LAST-MODIFIED:20210118T155305Z UID:2138-1612368900-1612373400@colleges.claremont.edu SUMMARY:Prof. Heather Zinn-Brooks DESCRIPTION:Title: Networks in social systems \nAbstract: The spread of memes and misinformation on social media\, political redistricting\, interactions in animal populations\, and the dynamics of voters during elections are among the many things that people study in the field of complex systems. All of these phenomena involve the interactions of individual parts\, which come together to produce rich\, complex collective dynamics. Obtaining a better understanding of how these interacting parts–whether they are Twitter accounts\, penguins\, or voters–respond to each other and to their environment also has potentially important implications for society. In this talk\, I will discuss how complex social systems can be modeled and analyzed from a network-theory perspective. We will investigate various network properties and highlight common themes that appear across different social networks. To gain insight into why certain properties emerge\, I will introduce several generative mathematical models of networks. Finally\, we will discuss some generalizations of networks and exciting areas of current research. \nProfessor Zinn-Brooks teaches at Harvey Mudd College. URL:https://colleges.claremont.edu/ccms/event/prof-heather-zinn-brooks/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210127T161500 DTEND;TZID=America/Los_Angeles:20210127T171500 DTSTAMP:20260414T020521 CREATED:20210116T015906Z LAST-MODIFIED:20210116T015950Z UID:2132-1611764100-1611767700@colleges.claremont.edu SUMMARY:CCMS Field Meeting DESCRIPTION:Hosted by David Bachman. This is a time for us to welcome each other back from break\, share any news relevant to mathematics in Claremont\, and break out into smaller discipline-specific groups to coordinate future course rotations. URL:https://colleges.claremont.edu/ccms/event/ccms-field-meeting/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT END:VCALENDAR