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-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:20190310T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20191103T090000 END:STANDARD 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:20220427T161500 DTEND;TZID=America/Los_Angeles:20220427T173000 DTSTAMP:20260414T002145 CREATED:20220401T032753Z LAST-MODIFIED:20220406T231953Z UID:2686-1651076100-1651080600@colleges.claremont.edu SUMMARY:Contact topology and geometry in high dimensions (Prof. Bahar Acu) DESCRIPTION:Title: Contact topology and geometry in high dimensions \nSpeaker: Bahar Acu\, Department of Mathematics\, Pitzer College \nAbstract: A very useful strategy in studying topological manifolds is to factor them into “smaller” pieces. An open book decomposition of an n-manifold (the open book) is a special map (fibration) that helps us study our manifold in terms of its (n-1)-dimensional submanifolds (i.e. fibers=the pages) and (n-2)-dimensional boundary of these submanifolds (the binding). Open books provide a natural framework for studying topological properties of certain geometric structures on smooth manifolds such as “contact structures”. Thanks to open books\, contact manifolds\, odd dimensional manifolds carrying these geometric structures\, can be studied from an entirely topological viewpoint. For example\, every contact 3-manifold can be presented as an open book whose pages are surfaces and binding is a knot/link. In this talk\, we will talk about higher-dimensional contact manifolds and provide a setting where we study these manifolds in terms of 3D open books. We present various results along with examples concerning geometric and topological aspects of these manifolds. \n\nDr. Bahar Acu (pronounced: Ah-Joo) is an Assistant Professor of Mathematics at Pitzer College since Spring 2022. Prior to joining Claremont Colleges\, Dr. Acu held positions at UCLA\, Northwestern\, ETH Zürich\, and IAS Princeton following a Ph.D. degree from the University of Southern California in 2017. Dr. Acu’s primary research interests are in the field of geometric topology\, more precisely contact and symplectic topology in high dimensions and their relations with low-dimensional topology. While doing so\, Dr. Acu actively thinks about ways in which the math community at large can improve and promote the presence and visibility of more first-gen\, womxn\, queer\, and many other historically underrepresented individuals in math in various mathematical events and projects. Dr. Acu continues to hope that more of the math colleagues join these efforts in their day-to-day navigation in math in any beneficial way they can. URL:https://colleges.claremont.edu/ccms/event/contact-topology-and-geometry-in-high-dimensions-prof-bahar-acu/ LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid CATEGORIES:Colloquium END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220420T161500 DTEND;TZID=America/Los_Angeles:20220420T173000 DTSTAMP:20260414T002145 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:20220413T161500 DTEND;TZID=America/Los_Angeles:20220413T173000 DTSTAMP:20260414T002145 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:20220330T161500 DTEND;TZID=America/Los_Angeles:20220330T173000 DTSTAMP:20260414T002145 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:20220323T161500 DTEND;TZID=America/Los_Angeles:20220323T173000 DTSTAMP:20260414T002145 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:20220309T160000 DTEND;TZID=America/Los_Angeles:20220309T174500 DTSTAMP:20260414T002145 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:20220302T161500 DTEND;TZID=America/Los_Angeles:20220302T173000 DTSTAMP:20260414T002145 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:20220223T161500 DTEND;TZID=America/Los_Angeles:20220223T173000 DTSTAMP:20260414T002145 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:20220216T161500 DTEND;TZID=America/Los_Angeles:20220216T173000 DTSTAMP:20260414T002145 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:20220209T161500 DTEND;TZID=America/Los_Angeles:20220209T173000 DTSTAMP:20260414T002145 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:20211201T163000 DTEND;TZID=America/Los_Angeles:20211201T180000 DTSTAMP:20260414T002145 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:20260414T002145 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:20211103T163000 DTEND;TZID=America/Los_Angeles:20211103T173000 DTSTAMP:20260414T002145 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:20260414T002145 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:20210922T163000 DTEND;TZID=America/Los_Angeles:20210922T174500 DTSTAMP:20260414T002145 CREATED:20210817T140933Z LAST-MODIFIED:20210817T141610Z UID:2198-1632328200-1632332700@colleges.claremont.edu SUMMARY:Quantitative Approaches to Social Justice (Prof. Chad Topaz) DESCRIPTION:Title: Quantitative Approaches to Social Justice \nProf. Chad Topaz (he/him/his)\nCo-Founder and Executive Director of Research\, QSIDE Institute\nProfessor of Mathematics\, Williams College \nAbstract: Civil rights leader\, educator\, and investigative journalist Ida B. Wells said that “the way to right wrongs is to shine the light of truth upon them.” This talk will demonstrate how quantitative and computational approaches can shine a light on social injustices and help build solutions to remedy them. We will present quantitative social justice projects on topics ranging from diversity in art museums to equity in criminal sentencing to affirmative action\, health care access\, and other fields. The tools engaged include crowdsourcing\, data cleaning\, clustering\, hypothesis testing\, statistical modeling\, Markov chains\, data visualization\, and much more. I hope that this talk leaves you informed about the breadth of social justice applications that one can tackle using mathematical and data science tools in careful collaboration with other scholars and activists. \nProf. Chad Topaz (he/him/his) is the co-Founder and Executive Director of Research at the QSIDE Institute which promote the quantitative study of inclusion\, diversity\, and equity. He is also a Professor of Mathematics\, Williams College. \nThis colloquium will be virtual and a Zoom link will be distributed via the CCMS Email list. URL:https://colleges.claremont.edu/ccms/event/prof-chad-topaz/ LOCATION:Zoom meeting\, United States CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210915T163000 DTEND;TZID=America/Los_Angeles:20210915T174500 DTSTAMP:20260414T002145 CREATED:20210831T233907Z LAST-MODIFIED:20210907T223233Z UID:2274-1631723400-1631727900@colleges.claremont.edu SUMMARY:Topic Models\, Methods\, and Medicine (Prof. Jamie Haddock) DESCRIPTION:Title: Topic Models\, Methods\, and Medicine \nSpeaker: Prof. Jamie Haddock (Harvey Mudd College) \nAbstract: There is currently an unprecedented demand for efficient\, quantitative\, and interpretable methods to study large-scale (often multi-modal) data. One key area of interest is that of topic modeling\, which seeks to automatically learn latent trends or topics of complex data sets\, providing practitioners a view of what is “going on” inside their data. This talk will survey several new tools for topic modeling on matrix and tensor data which allow for use of various forms of supervision and which learn hierarchical structure amongst topics.  These tools are of interest across the many fields and industries producing\, capturing\, and analyzing big data\, but are of particular interest in applications where expert supervision is available and often essential (e.g.\, medicine).  We will describe two applications of these methods to medical data; an application to a large-scale patient survey database and an ongoing application to cardiovascular imaging data. \n  \nProf. Jamie Haddock is an Assistant Professor in the Mathematics Department at Harvey Mudd College URL:https://colleges.claremont.edu/ccms/event/jamie-haddock-harvey-mudd-college/ LOCATION:Zoom meeting\, United States CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210428T161500 DTEND;TZID=America/Los_Angeles:20210428T173000 DTSTAMP:20260414T002145 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:20260414T002145 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:20260414T002145 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:20260414T002145 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:20260414T002145 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:20260414T002145 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:20260414T002145 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:20260414T002145 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:20260414T002145 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:20260414T002145 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:20260414T002145 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:20260414T002145 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:20260414T002145 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 BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20201118T161500 DTEND;TZID=America/Los_Angeles:20201118T173000 DTSTAMP:20260414T002145 CREATED:20200917T150401Z LAST-MODIFIED:20201109T195216Z UID:2033-1605716100-1605720600@colleges.claremont.edu SUMMARY:Prof. Gregory DeAngelo DESCRIPTION:Title: The Effect of Criminal Justice Decisions on Community Safety \nAbstract: During this talk we will\, time permitting\, examine several law enforcement actor’s impact on community safety\, including law enforcement\, prosecutors and judges. To start\, we examine the impact of law enforcement race and gender on use of force. We first show that conditioning on arrests has the potential to greatly impact the results obtained. Instead\, we make use of an instrumental variable approach to examine the as-if random assignment of officers to calls for service. Leveraging this randomness\, we identify the effect of officer race and gender on the likelihood that force is used during the call. Next\, we focus our attention on prosecutors and leverage a unique situation where prosecutors are no longer able to pursue low-level drug charges. In the absence of such charges\, we examine the impact of not prosecuting low-level drug offenses on drug overdoses and drug abuse admissions. Finally\, we examine the effect of an exogenous increase in judge salaries on the likelihood that cases are overturned on appeal. \nProf. Gregory DeAngelo is an Associate Professor of Economic Sciences at the Claremont Graduate University URL:https://colleges.claremont.edu/ccms/event/prof-gregory-deangelo/ CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT END:VCALENDAR