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:20220223T161500 DTEND;TZID=America/Los_Angeles:20220223T173000 DTSTAMP:20260511T095358 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:20260511T095358 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:20260511T095358 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:20220202T161500 DTEND;TZID=America/Los_Angeles:20220202T173000 DTSTAMP:20260511T095358 CREATED:20220128T183638Z LAST-MODIFIED:20220131T193506Z UID:2581-1643818500-1643823000@colleges.claremont.edu SUMMARY:Exploiting metric structure for more accurate classification (Prof. Mike Izbicki) DESCRIPTION:Title: Exploiting metric structure for more accurate classification \nSpeaker: Mike Izbicki\, Department of Mathematical Sciences\, Claremont McKenna College \nAbstract: Classification problems often have many semantically similar classes.  For example\, the famous ImageNet dataset contains classes for 80 different dog breeds\, 40 different bird species\, and 25 types of vehicles.  This semantic structure can be formalized using a metric space\, with semantic similarity of classes encoded by the distance function.  In this talk\, I’ll describe the “tree loss”\, which is the first technique with provable performance guarantees for exploiting this metric structure.  I’ll also show that the tree loss has better empirical performance than competing algorithms on image\, text\, and vector data. \n\nMike studies machine learning theory\, focusing on applications to natural language and social media.  He has been at CMC for 3 years now\, where he teaches computer and data science classes.  Prior to his academic career\, Mike spent 7 years in the US Navy.  Highlights include converting >10g of Uranium into pure energy as a nuclear submarine officer\, and doing [redacted] for the NSA.  After leaving the navy\, Mike went to North Korea to teach computer science as part of an academic exchange program designed to improve relations between the US and North Korea.  He earned his phd from UC Riverside. URL:https://colleges.claremont.edu/ccms/event/exploiting-metric-structure-for-more-accurate-classification-prof-mike-izbicki/ LOCATION:Zoom meeting\, United States CATEGORIES:Colloquium END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20220126T161500 DTEND;TZID=America/Los_Angeles:20220126T173000 DTSTAMP:20260511T095358 CREATED:20220121T013826Z LAST-MODIFIED:20220121T212036Z UID:2550-1643213700-1643218200@colleges.claremont.edu SUMMARY:Using Stitching for faster sampling (Prof. Mark Huber) DESCRIPTION:Title: Using Stitching for faster sampling \nSpeaker: Mark Huber\, Department of Mathematics\, Claremont McKenna College \nAbstract: Point processes are used to model location data\, such as the locations of trees in a forest\, or cities in a plain.  Repulsive point processes modify the basic model in order to obtain points that are farther apart from each other than would be expected if they were placed uniformly at random.  In order to understand the behavior of these models\, Monte Carlo methods are used\, which draw samples from the probabilistic model.  In this talk\, I’ll show how to draw from a particular example of a repulsive point process called the Strauss process for parameters that were never possible before.  The method is called stitching\, and is a type of divide-and-conquer algorithm that is surprisingly effective for these types of problems. \n\nHuber got his start in data science (before it was called that) at HMC (’94).  He then headed to Cornell and obtained his Ph.D. from the Operations Research and Industrial Engineering department.  After a postdoc at Stanford and a position at Duke\, he returned to the West Coast and is now the Fletcher Jones Foundation Professor of Mathematics and Statistics and George R. Roberts Fellow\, and the Program Director of Data Science and Computer Science at Claremont McKenna.  His third book\, “Probability Adventures”\, is now available. URL:https://colleges.claremont.edu/ccms/event/using-stitching-for-faster-sampling-prof-mark-huber/ LOCATION:CA CATEGORIES:Colloquium END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20211208T163000 DTEND;TZID=America/Los_Angeles:20211208T173000 DTSTAMP:20260511T095358 CREATED:20211104T163615Z LAST-MODIFIED:20211110T164207Z UID:2462-1638981000-1638984600@colleges.claremont.edu SUMMARY:Where do Putnam problems come from? (Prof. Andrew Bernoff) DESCRIPTION:Title: Where do Putnam problems come from? \nSpeaker: Andrew Bernoff\, Department of Mathematics\, Harvey Mudd College \nAbstract: The William Lowell Putnam Exam is the preeminent mathematics competition for undergraduate college students in the United States and Canada. I recently finished a three year stint on the competition’s problem committee. This talk is a personal reflection on where Putnam problems come from. I’ll discuss three problems which can loosely be described as: \n\na mathematician’s viewpoint on axe throwing\,\na model for how chickens establish a pecking order inspired by a high school math competition and a subsequent tweet by Jordan Ellenberg\, and\na covering problem that arose from a generalization of several previous Putnam problems viewed through the lens of a mathematician obsessed with the Fourier transform.\n\nI’ll close with some observations about best practices and pitfalls to avoid when constructing an exam whether it be for a class or a competition. \n\nAndrew Bernoff is a Professor of Mathematics at Harvey Mudd College. While his research concentrates on using dynamical systems methods to understand experiments and natural phenomena\, he has a longstanding interest in recreational mathematics and problem solving. As an undergraduate at MIT he ran the first Integration Bee\, a tradition that has now continued for over four decades. More recently he just finished a three year stint on the William Lowell Putnam Exam’s problem committee. URL:https://colleges.claremont.edu/ccms/event/where-do-putnam-problems-come-from-prof-andrew-bernoff/ LOCATION:CA CATEGORIES:Colloquium END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20211201T163000 DTEND;TZID=America/Los_Angeles:20211201T180000 DTSTAMP:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20211006T163000 DTEND;TZID=America/Los_Angeles:20211006T174500 DTSTAMP:20260511T095358 CREATED:20210831T035746Z LAST-MODIFIED:20210831T035746Z UID:2257-1633537800-1633542300@colleges.claremont.edu SUMMARY:Interrupted Time Series Models for Assessing Complex Health Care Interventions (Maricela Cruz\, PhD) DESCRIPTION:Title: Interrupted Time Series Models for Assessing Complex Health Care Interventions \nMaricela Cruz\, PhD\nAssistant Investigator\nBiostatistics Unit\nKaiser Permanente Washington Health Research Institute \nAbstract:  Assessing the impact of complex interventions on measurable health outcomes is a growing concern in health care and health policy. According to the 2018 Annual Review of Public Health\, interrupted time series (ITS) designs may be the only feasible recourse for studying the impacts of large-scale public health policies. Statistical models used to analyze ITS data a priori restrict the interruption’s effect to a predetermined time point or censor data for which the intervention effects may not be fully realized\, and neglect changes in the temporal dependence and variability. In addition\, current methods limit the analysis to one hospital unit or entity and are not well specified for discrete outcomes (e.g.\, patient falls). In this talk\, I present novel ITS methods based on segmented regression that address the aforementioned limitations and provide a testing paradigm for the existence of a change point in the time series. The methodology is illustrated by analyzing patient centered data from a hospital that implemented and evaluated a new care delivery model in multiple units.\n  \nMaricela Cruz is an Assistant Investigator and Biostatistician at Kaiser Permanente Washington Health Research Institute and Affiliate Assistant Professor at the University of Washington Department of Biostatistics.  She received her PhD in statistics from the University of California Irvine and was a National Science Foundation Graduate Research Fellowship awardee and Eugene Cota-Robles fellow during her time there. Maricela’s research primarily focuses on developing novel statistical methods to assess and evaluate the impact of complex health interventions. URL:https://colleges.claremont.edu/ccms/event/interrupted-time-series-models-for-assessing-complex-health-care-interventions-maricela-cruz-phd/ LOCATION:Zoom meeting\, United States CATEGORIES:Colloquium END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210929T163000 DTEND;TZID=America/Los_Angeles:20210929T174500 DTSTAMP:20260511T095358 CREATED:20210831T234248Z LAST-MODIFIED:20210921T160751Z UID:2277-1632933000-1632937500@colleges.claremont.edu SUMMARY:Virtual Trivalent Spatial Graphs . . . (Sherilyn Tamagawa) DESCRIPTION:Title: Virtual Trivalent Spatial Graphs and Virtual Niebrzydowski Algebras \nSpeaker: Prof. Sherilyn Tamagawa\nVisiting Assistant Professor Pomona College \nAbstract: If you were given two tangled up circles of string\, could you untangle one to look like the other without cutting and reattaching the string? How could you tell? Knot theory explores answers to these questions. In this talk\, we discuss a generalization of a knot\, called a virtual trivalent spatial graph. We will then introduce virtual Niebrzydowski algebras\, algebraic structures which can be used to distinguish some of them. \nThis work is joint with Nancy Scherich (ICERM). \n  \nSheri Tamagawa completed her BA in Mathematics at Scripps College. After completing her PhD at the University of California\, Santa Barbara\, she spent two years teaching at Davidson College. She is currently a Visiting Assistant Professor of Mathematics at Pomona College. She is also one of the current organizers of USTARS (Underrepresented Students in Topology and Algebra Research Symposium). URL:https://colleges.claremont.edu/ccms/event/sherilyn-tamagawa-pomona-college/ LOCATION:CA CATEGORIES:Colloquium END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210922T163000 DTEND;TZID=America/Los_Angeles:20210922T174500 DTSTAMP:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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:20260511T095358 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