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DTSTART;TZID=America/Los_Angeles:20230207T121500
DTEND;TZID=America/Los_Angeles:20230207T131000
DTSTAMP:20260404T123237
CREATED:20230202T190817Z
LAST-MODIFIED:20230202T190817Z
UID:3066-1675772100-1675775400@colleges.claremont.edu
SUMMARY:Orthogonality defect and coherence of cyclotomic lattices (Lenny Fukshansky\, CMC)
DESCRIPTION:There are two different measures of how far a given Euclidean lattice is from being orthogonal — the orthogonality defect and the average coherence. The first of these comes from the study of sphere packing while the second is motivated by frame theory\, but both of them have applications in digital communications\, especially in coding theory and cryptography. It is interesting to understand how the two are related. We investigate this question on an important class of cyclotomic lattices\, where some nice formulas can be derived and certain empirical observations can be made. Joint work with David Kogan.
URL:https://colleges.claremont.edu/ccms/event/orthogonality-defect-and-coherence-of-cyclotomic-lattices-lenny-fukshansky-cmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230208T161500
DTEND;TZID=America/Los_Angeles:20230208T173000
DTSTAMP:20260404T123237
CREATED:20230122T180304Z
LAST-MODIFIED:20230206T231015Z
UID:3038-1675872900-1675877400@colleges.claremont.edu
SUMMARY:The mathematics of neural networks: recent advances\, thoughts\, and the path forward (Prof. Mikhail Belkin\, UCSD)
DESCRIPTION:Title: The mathematics of neural networks: recent advances\, thoughts\, and the path forward \nSpeaker: Prof. Mikhail Belkin\, Department of Mathematics\, University of California San Diego \nAbstract: The recent remarkable practical achievements of neural networks have far outpaced our theoretical understanding of their properties. Yet\, it is hard to imagine that progress can continue indefinitely\, without deeper understanding of their fundamental principles and limitations. In this talk I will discuss some recent advances in the mathematics of neural networks and outline what\, in my opinion\, are some promising directions for future research. \n\n\n\n\n\nMikhail Belkin received his Ph.D. in 2003 from the Department of Mathematics at the University of Chicago. His research interests are in theory and  applications of machine learning and data analysis. Some of his well-known work includes widely used Laplacian Eigenmaps\, Graph Regularization and Manifold Regularization algorithms\, which brought ideas from classical differential geometry and spectral analysis to data science. His recent work has been concerned with understanding remarkable mathematical and statistical phenomena observed in deep learning. This empirical evidence necessitated revisiting some of the basic concepts in statistics and optimization.  One of his key recent findings is the “double descent” risk curve that extends the textbook U-shaped bias-variance trade-off curve beyond the point of interpolation. Mikhail Belkin has served on the editorial boards of the Journal of Machine Learning Research\, IEEE Pattern Analysis and Machine Intelligence and SIAM Journal on Mathematics of Data Science.
URL:https://colleges.claremont.edu/ccms/event/prof-mikhail-belkin/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230209T163000
DTEND;TZID=America/Los_Angeles:20230209T173000
DTSTAMP:20260404T123237
CREATED:20230208T193627Z
LAST-MODIFIED:20230213T200028Z
UID:3073-1675960200-1675963800@colleges.claremont.edu
SUMMARY:Linear Multifractional Stable Sheets in the Broad Sense: Existence and Joint Continuity of Local Times (Qidi Peng\, Institute of Mathematical Sciences\, CGU)
DESCRIPTION:We introduce the notion of linear multifractional stable sheets in the broad sense (LMSS) to include both linear multifractional Brownian sheets and linear multifractional stable sheets. The purpose of the framework is to study the existence and joint continuity of the local times of LMSS\, and also the local Holder condition of the local times in the set variable. As the main results\, (1) we provide a sufficient and necessary condition for the existence of local times of LMSS; (2) we show a sufficient condition for the joint continuity of local times; and (3) we prove a sharp local Holder condition for the local times in the set variable. All these theorems improve significantly the existing results for the local times of multifractional Brownian sheets and linear multifractional stable sheets in the literature.
URL:https://colleges.claremont.edu/ccms/event/linear-multifractional-stable-sheets-in-the-broad-sense-existence-and-joint-continuity-of-local-times-qidi-peng-institute-of-mathematical-sciences-cgu/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230215T161500
DTEND;TZID=America/Los_Angeles:20230215T173000
DTSTAMP:20260404T123237
CREATED:20230122T180444Z
LAST-MODIFIED:20230209T173448Z
UID:3039-1676477700-1676482200@colleges.claremont.edu
SUMMARY:Quantum chromatic numbers of products of quantum graphs (Prof. Rolando De Santiago\, Purdue University)
DESCRIPTION:Title: Quantum chromatic numbers of products of quantum graphs \nSpeaker: Rolando De Santiago\, Department of Mathematics\, Purdue University \nAbstract: Quantum graphs are an operator space generalization of classical graphs that have emerged in different branches of mathematics including operator theory\, non-commutative topology and quantum information theory. We provide a brief introduction to quantum graphs and the quantum chromatic number of graphs. We define the lexicographic product of quantum graphs and investigate the quantum chromatic number of the resulting graph products. Additionally\, we discuss our work on developing the b-fold chromatic number for quantum graphs analogous to the classical case. \nThis is joint work with Meenakshi McNamara \n\n\n\n\n\nRolando is an assistant professor of mathematics in the Department of Mathematics at Purdue University. He considers himself a proud product of the LAUSD\, the community college\, and the Cal State systems which set him up to receive his Ph.D. in Mathematics from the University of Iowa in 2017. Afterward\, he went on to do a postdoc at UCLA where he was awarded the UC Presidential Postdoctoral Fellowship in 2018. His research in the structural aspects of group von Neumann algebras sits at the intersection of analysis\, geometric group theory\, representation theory\, and\, on very rare occasions\, quantum information theory.
URL:https://colleges.claremont.edu/ccms/event/prof-rolando-de-santiago/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230216T163000
DTEND;TZID=America/Los_Angeles:20230216T173000
DTSTAMP:20260404T123237
CREATED:20230208T194019Z
LAST-MODIFIED:20230208T194019Z
UID:3074-1676565000-1676568600@colleges.claremont.edu
SUMMARY:structural aspects of von Neumann algebras arising as graph products (Rolando de Santiago\, Purdue University)
DESCRIPTION:Graph products of groups were introduced in E. Green’s thesis in the 90’s as generalizations of Right-Angled Artin Groups. These have become objects of intense study due to their key roles in topology and group theory.  Recently\, Caspers and Fima introduced graph products of von Neumann algebras. Since their inception\, several structural aspects such as absence of Cartan subalgebras\, and classification of tensor products have been established for graph products arising from groups.  Here we describe new progress in this direction\, emphasizing characterization of diffuseness\, factoriality\, and if time\, strong 1-boundedness for graph products of a large class of von Neumann algebras. \nThis is joint work with Ian Charlesworth\, Srivatsav Kunnawalkam-Ellayavali\,  Ben Hayes\, David Jekel\, and Brent Nelson.
URL:https://colleges.claremont.edu/ccms/event/structural-aspects-of-von-neumann-algebras-arising-as-graph-products-rolando-de-santiago-purdue-university/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230221T121500
DTEND;TZID=America/Los_Angeles:20230221T131000
DTSTAMP:20260404T123237
CREATED:20230201T215846Z
LAST-MODIFIED:20230215T012913Z
UID:3065-1676981700-1676985000@colleges.claremont.edu
SUMMARY:On zeros of multilinear polynomials (Max Forst\, CGU)
DESCRIPTION:Consider rational polynomials in multiple variables that are linear with respect to some of the variables. In this talk we discuss the problem of finding a zero of such polynomials that are bounded with respect to a height function. For a system of such polynomials satisfying certain technical conditions we prove the existence of a bounded height simultaneous zero. For a single such polynomial we prove the existence of a zero of bounded height lying outside of a prescribed algebraic set. Based on joint work with Lenny Fukshansky.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-max-forst-cgu-2/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230222T161500
DTEND;TZID=America/Los_Angeles:20230222T173000
DTSTAMP:20260404T123237
CREATED:20230122T180801Z
LAST-MODIFIED:20230213T202959Z
UID:3040-1677082500-1677087000@colleges.claremont.edu
SUMMARY:Mathematical model for HIV-1 infection with stem cell and immune-therapy (Prof. Noufe Aljahdaly\, King Abdulaziz University / CGU)
DESCRIPTION:Title: Mathematical model for HIV-1 infection with stem cell and immune-therapy \nSpeaker: Noufe Aljahdaly\, Department of Mathematics\, King Abdulaziz University / CGU \nAbstract: The AIDS is a chronic disease. Its most common treatment is the antiretroviral therapy (cART) and the virus can be more effected if the patients stop using cART. The other problem is that the CD8+ T cells might be exhausted by persistent immune activation by cART. The researchers still exert their high efforts to reach the cure of HIV infection. Actually\, there are two cases that have achieved a cure of HIV-1 by stem cell (SC) transplantation who are known as London patient and Berlin patient. In this work\, we introduced the mathematical model of HIV-1 infection with stem cell therapy. The model was studied theoretically and the numerical solution was obtained to understand the effect of SC therapy. Our results realized that the virus of HIV-1 patient remains undetectable in patient blood after SC transplantation for a period of time. Then\, the patient may experience rebound within short period. These results are aligned with two medical cases in the literature. To better understand how London and Berlin patient got a cure by SC therapy while other patients did not achieve the same result\, we improved the mathematical model by taking in account the immune system response. We found that the cure of HIV-1 can be achieved by increasing the immune system response during receiving the SC therapy. \n\n\n\n\n\nNoufe is an associate professor of mathematics in the Department of Mathematics at King Abdulaziz University\, Saudi Arabia. She received her master degree in Mathematics from Oregon state University in 2012 and received her Ph.D. in Mathematics from the University of Alabama in 2017. She is a visiting researcher in CGU since Aug. 2022. Her research in applied mathematics\, mathematical modeling\, fluid dynamic and mathematical computation.
URL:https://colleges.claremont.edu/ccms/event/prof-noufe-aljahdaly/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230227T161500
DTEND;TZID=America/Los_Angeles:20230227T171500
DTSTAMP:20260404T123237
CREATED:20221011T224115Z
LAST-MODIFIED:20230816T040643Z
UID:2958-1677514500-1677518100@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Michael Perlmutter (UCLA)
DESCRIPTION:Title:Geometric Scattering on Measure Spaces \nAbstract:\nGeometric Deep Learning is an emerging field of research that aims to extend the success of convolutional neural networks (CNNs) to data with non-Euclidean geometric structure. Despitebeing in its relative infancy\, this field has already found great success in many applications such as recommender systems\, computer graphics\, and traffic navigation. In order to improve our understanding of the networks used in this new field\, several works have proposed novelversions of the scattering transform\, a wavelet-based model of CNNs for graphs\, manifolds\,and more general measure spaces. In a similar spirit to the original Euclidean scattering transform\, these geometric scattering transforms provide a mathematically rigorous framework for understanding the stability and invariance of the networks used in geometric deep learning.Additionally\, they also have many interesting applications such as drug discovery\, solving combinatorial optimization problems\, and predicting patient outcomes from single-cell data. In particular\, motivated by these applications to single-cell data\, I will also discuss recent work proposing a diffusion maps style algorithm with quantitative convergence guarantees for implementing the manifold scattering transform from finitely many samples of an unknown manifold.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-michael-perlmutter-ucla/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230301T161500
DTEND;TZID=America/Los_Angeles:20230301T173000
DTSTAMP:20260404T123237
CREATED:20230122T181703Z
LAST-MODIFIED:20230220T192135Z
UID:3041-1677687300-1677691800@colleges.claremont.edu
SUMMARY:Watch your step: Modeling on Time Scales (Prof. Raegan Higgins\, Texas Tech University)
DESCRIPTION:Title: Watch your step: Modeling on Time Scales \nSpeaker: Raegan Higgins\, Department of Mathematics & Statistics\, Texas Tech University \nAbstract: Generally\, differential and difference equations are used in the mathematical modeling of physical systems. Our modeling approach uses dynamic equations on time scales. A time scale T is an arbitrary\, nonempty\, closed subset of the real numbers. While introducing the calculus on time scales\, we will give an application of time scales to oncology. We will discuss developing specific models and the related preliminary results and analysis. \n\n\n\n\n\nRaegan Higgins didn’t always love math. In her eyes\, it was a class that everyone had to take. It wasn’t\nchallenging\, nor was it easy; it just was. Upon placing out of Pre-Algebra in middle school\, Raegan entered Algebra which quickly became her adversary. With little Pre-Algebra background\, she struggled in the course she called “The Land of Unknowns.” But\, with a very encouraging no-nonsense teacher and parents who only asked for their daughter’s best\, Raegan excelled in Algebra and became an aspiring\nmathematician. \nIn 2008\, Raegan was one of the first two African Americans to earn a doctoral degree in Mathematics from the University of Nebraska- Lincoln. She had officially become a mathematician. In that same year\, she joined the faculty at Texas Tech University. Her primary research focuses on determining conditions in which solutions to differential-like equations eventually stay positive or negative. While also interested in applications of time scales (nonempty subsets of the real numbers)\, Dr. Higgins has a keen interest in increasing the number of women\, especially those underrepresented\, in STEM and improving the undergraduate preparation of mathematics majors. Her service mission is to support communities historically excluded from STEM by creating and supporting programs that increase visibility\, amplify the voices of women and people of color\, and foster community and share resources. Raegan serves as\ncodirector of the EDGE (Enhancing Diversity in Graduate Education) Summer Program and cofounder and cocreator of the website Mathematically Gifted and Black.
URL:https://colleges.claremont.edu/ccms/event/prof-raegan-higgins/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230302T163000
DTEND;TZID=America/Los_Angeles:20230302T173000
DTSTAMP:20260404T123237
CREATED:20230302T165631Z
LAST-MODIFIED:20230302T165631Z
UID:3090-1677774600-1677778200@colleges.claremont.edu
SUMMARY:The Fell topology and the modular Gromov-Hausdorff propinquity (Jiahui Yu\, Pomona College)
DESCRIPTION:Given a unital AF (approximately finite-dimensional) algebra A equipped with a faithful tracial state\, we equip each (norm-closed two-sided) ideal of A with a metrized quantum vector bundle structure\, when canonically viewed as a module over A\, in the sense of Latrémolière using previous work of Aguilar and Latrémolière. Moreover\, we show that convergence of ideals in the Fell topology implies convergence of the associated metrized quantum vector bundles in the modular Gromov-Hausdorff propinquity of Latrémolière. In a similar vein but requiring a different approach\, given a compact metric space (X\,d)\, we equip each ideal of C(X) with a metrized quantum vector bundle structure\, and show that convergence in the Fell topology implies convergence in the modular Gromov-Hausdorff propinquity. (This is joint work with Konrad Aguilar).
URL:https://colleges.claremont.edu/ccms/event/the-fell-topology-and-the-modular-gromov-hausdorff-propinquity-jiahui-yu-pomona-college/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230304T100000
DTEND;TZID=America/Los_Angeles:20230304T120000
DTSTAMP:20260404T123237
CREATED:20230218T054802Z
LAST-MODIFIED:20230218T054802Z
UID:3083-1677924000-1677931200@colleges.claremont.edu
SUMMARY:GEMS March 4th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-march-4th-session/
LOCATION:Harvey Mudd College at the Shanahan Teaching and Learning Center\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230306T161500
DTEND;TZID=America/Los_Angeles:20230306T171500
DTSTAMP:20260404T123237
CREATED:20230118T184527Z
LAST-MODIFIED:20230208T193952Z
UID:3032-1678119300-1678122900@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Nataliya Vasylyeva (IAMM NAS of Ukraine)
DESCRIPTION:Title: Identification of the order of semilinear subdiffusion with memory \nAbstract: See attached abstract
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-nataliya-vasylyeva-iamm-nas-of-ukraine/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230308T161500
DTEND;TZID=America/Los_Angeles:20230308T173000
DTSTAMP:20260404T123237
CREATED:20230122T181942Z
LAST-MODIFIED:20230306T183227Z
UID:3042-1678292100-1678296600@colleges.claremont.edu
SUMMARY:Sometimes Pi Equals 4 (Prof. Cornelia van Cott\, University of San Francisco)
DESCRIPTION:Title: Sometimes Pi Equals 4 \nSpeaker: Cornelia van Cott\, Department of Mathematics\, University of San Francisco \nAbstract: Most of your mathematical life\, you’ve known that pi is a number somewhere between 3.1 and 3.2. But if we exchange the usual notion of distance in two-dimensional space for others\, pi can be any of an infinite number of different values. What are these values? You’ll be surprised at the twists and turns we encounter when we head into these uncharted territories. \n\n\n\n\n\nCornelia Van Cott is a mathematics professor at the University of San Francisco. She earned her PhD from Indiana University in the area of geometric topology. Her undergraduate degree is from Wheaton College. Her current favorite work activity outside of teaching and research is doing something that combines these two things – student research projects.
URL:https://colleges.claremont.edu/ccms/event/prof-cornelia-van-cott/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230309T163000
DTEND;TZID=America/Los_Angeles:20230309T173000
DTSTAMP:20260404T123237
CREATED:20230306T061639Z
LAST-MODIFIED:20230306T061639Z
UID:3094-1678379400-1678383000@colleges.claremont.edu
SUMMARY:Existence and uniqueness of minimizers in variational problems (Wilfrid Gangbo\, UCLA)
DESCRIPTION:We comment on the main steps to take when studying some variational problems. This includes optimization problems arising in geometry\, machine learning\, non linear elasticity\, fluid mechanics\, etc… For the sake of illustration\, in this talk\, we keep our focus on a minimization problem obtained after a time-discretization of the incompressible Navier-Stokes equations. Elementary geometric intuitions are used to uniquely characterize equilibria which are minimizers.
URL:https://colleges.claremont.edu/ccms/event/existence-and-uniqueness-of-minimizers-in-variational-problems-wilfrid-gangbo-ucla/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230320T150000
DTEND;TZID=America/Los_Angeles:20230320T160000
DTSTAMP:20260404T123237
CREATED:20230320T175619Z
LAST-MODIFIED:20230320T175619Z
UID:3105-1679324400-1679328000@colleges.claremont.edu
SUMMARY:Deniz Sarikaya on Narratives of Mathematical Practice (and why they matter!)
DESCRIPTION:Deniz Sarikaya joining us from the Technical University of Denmark and speaking on “Narratives of Mathematical Practice (and why they matter!)” (abstract below).\n \nThe speaker will join via zoom\, but there will be a live audience on the second floor of Pitzer College’s Gold Student Center in the Multipurpose room (in the building marked 3 here: https://www.pitzer.edu/about/maps-directions/quick-reference-map/).\n\nabstract:\nThere are different narratives on mathematics as part of our world\, some of which are more appropriate than others. Such narratives might be of the form ‘Mathematics is useful’\, ‘Mathematics is beautiful’\, or ‘Mathematicians aim at theorem-credit’. These narratives play a crucial role in mathematics education and in society as they are influencing people’s willingness to engage with the subject or the way they interpret mathematical results in relation to real-world questions; the latter yielding important normative considerations.\nIn this talk\, we want to analyze different narratives of mathematics and suggest that mathematizing as a virtuous practice in its own right is a better narrative of mathematics than\, for example\, extrinsic narratives which focus on the results of mathematical activity and the application of mathematics in non-mathematical contexts. By ‘better’ we mean that the mathematizing-narrative describes mathematical practice more adequately and that it allows for a shift in mathematics education that yields beneficial outcomes for our society. This is heavily drawing on Freudenthal’s Realistic Mathematical Education.\n \nThe talk is based on joint work with Deborah Kant (University of Hamburg)
URL:https://colleges.claremont.edu/ccms/event/deniz-sarikaya-on-narratives-of-mathematical-practice-and-why-they-matter/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:History and Philosophy of Mathematics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230321T121500
DTEND;TZID=America/Los_Angeles:20230321T131000
DTSTAMP:20260404T123237
CREATED:20230113T153459Z
LAST-MODIFIED:20230313T193754Z
UID:3025-1679400900-1679404200@colleges.claremont.edu
SUMMARY:Robust properties of graphs (Asaf Ferber\, UC Irvine)
DESCRIPTION:In this talk we will consider some notions of `robustness’ of graph/hypergraph properties. We will survey some existing results and will try to emphasize the following new result (joint with Adva Mond and Kaarel Haenni): The binomial random digraph $D_{n\,p}$ typically contains the minimum between the minimum out- and in-degrees many edge-disjoint Hamilton cycles\, given that $p\geq \log^C n/n$. The result is optimal up to log factors.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-asaf-ferber-uc-irvine/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230322T161500
DTEND;TZID=America/Los_Angeles:20230322T173000
DTSTAMP:20260404T123237
CREATED:20230122T183858Z
LAST-MODIFIED:20230306T164339Z
UID:3043-1679501700-1679506200@colleges.claremont.edu
SUMMARY:How Many Cards Can Avoid a SET? (Prof. Mohamed Omar\, Harvey Mudd College)
DESCRIPTION:Title: How Many Cards Can Avoid a SET? \nSpeaker: Mohamed Omar\, Department of Mathematics\, Harvey Mudd College \nAbstract: SET is a popular real-time card game where players search for special triples of cards among a table of cards that are face-up. A common issue when playing the game is not having a SET among theface-up cards. What is the maximum number of cards that can be face-up while avoiding a SET? Surprisingly\, this question is at the heart of a decades old central problem in extremal combinatorics and additive number theory that had a major breakthrough in 2017. In this talk\, we describe the breakthrough\, and how the presenter used ideas in its development to make headway on a range of disparate problems in combinatorics. \n\n\n\n\n\nDr. Mohamed Omar is an Associate Professor of Mathematics\, Associate Chair of Mathematics and the Joseph B. Platt Chair in Effective Teaching at Harvey Mudd College. He has received national awards for his research\, including being the inaugural recipient of the American Mathematical Society’s Claytor-Gilmer Fellowship and an inaugural recipient of the Karen EDGE Fellowship\, both celebrating mid-career research. He has also earned the Henry L. Alder Award\, the preeminent junior faculty national prize given by the Mathematical Association of America. He is the author of over 30 peer-reviewed articles in internationally recognized journals\, studying the interaction between algebra and combinatorics.
URL:https://colleges.claremont.edu/ccms/event/prof-mohamed-omar/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230323T163000
DTEND;TZID=America/Los_Angeles:20230323T173000
DTSTAMP:20260404T123237
CREATED:20230323T212318Z
LAST-MODIFIED:20230323T212318Z
UID:3108-1679589000-1679592600@colleges.claremont.edu
SUMMARY:The Hilbert space approach in the theory of differential equations (Adolfo Rumbos\, Pomona College)
DESCRIPTION:In this talk we discuss the Hilbert space approach\, or the variational approach\, in the study of questions of existence and multiplicity for some two-point boundary-value problems for nonlinear\, second order\, ordinary differential equations (ODEs).  We illustrate the use of the Hilbert space approach in obtaining some old existence results for periodic solutions of a semilinear ODE\, and some recent multiplicity results for a related problem. The talk is based on joint work with Noah Benjamin (Pomona College ’23) and Leandro Recôva (Cal Poly Pomona).
URL:https://colleges.claremont.edu/ccms/event/the-hilbert-space-approach-in-the-theory-of-differential-equations-adolfo-rumbos-pomona-college/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230327T161500
DTEND;TZID=America/Los_Angeles:20230327T171500
DTSTAMP:20260404T123237
CREATED:20221026T182923Z
LAST-MODIFIED:20230816T040538Z
UID:2971-1679933700-1679937300@colleges.claremont.edu
SUMMARY:Applied Math Seminar:  Linh Huynh (University of Utah)
DESCRIPTION:Title:Inferring birth and death rates from population size time series data   \nAbstract:\nModels of population dynamics are usually formulated and analyzed with net growth rates. However\, separately identifying birth and death rates is significant in various biological applications such as disambiguating (1) exploitation vs. interference competition in ecology\, (2) bacteriostatic vs. bactericidal antibiotics in clinical treatments\, and (3) enhanced-fecundity vs. reduced-mortality mechanisms in drug resistance. In each of these three contexts\, the mechanisms are different\, but could be manifest in the same mean-field population size. \nIn this talk\, I will discuss a nonparametric method that utilizes stochastic fluctuations to extract birth and death rates from population size time series data. I will demonstrate the method on logistic growth to study density dependence\, but the method can be applied to general birth-death processes and does not require a priori assumptions on the rates. I will also discuss how to implement the theory on sample data and our estimation error analysis. This is based on published work joint with Peter Thomas (Case Western Reserve University) and Jacob Scott (Cleveland Clinic) and can be found here: Inferring density-dependent population dynamics mechanisms through rate disambiguation for logistic birth-death processes.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-linh-huynh-university-of-utah/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230328T121500
DTEND;TZID=America/Los_Angeles:20230328T131000
DTSTAMP:20260404T123237
CREATED:20230124T212708Z
LAST-MODIFIED:20230320T225330Z
UID:3054-1680005700-1680009000@colleges.claremont.edu
SUMMARY:The Smith normal form of a polynomial of a random integral matrix (Gilyoung Cheong\, UC Irvine)
DESCRIPTION:Given a prime p\, let P(t) be a non-constant monic polynomial in t over the ring of p-adic integers. Let X(n) be an n x n uniformly random (0\,1)-matrix over the same ring. We compute the asymptotic distribution of the cokernel of P(X(n)) as n goes to infinity. When P(t) is square-free modulo p\, this lets us compute the asymptotic distribution of the Smith normal form of P(X(n)). In fact\, we shall consider the same problem with a more general random matrix X(n)\, which also includes the example of a Haar-random matrix. Our work crucially uses a recent work of W. Sawin and M. M. Wood which shows that the moments of finite size modules over any ring determine their distribution.\n\nThis is joint work with Myungjun Yu. https://arxiv.org/abs/2303.09125
URL:https://colleges.claremont.edu/ccms/event/antc-talk-gilyoung-cheong-uci/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230329T161500
DTEND;TZID=America/Los_Angeles:20230329T173000
DTSTAMP:20260404T123237
CREATED:20230122T184003Z
LAST-MODIFIED:20230328T003844Z
UID:3044-1680106500-1680111000@colleges.claremont.edu
SUMMARY:Reading Topology from Open Books (Prof. Bahar Acu\, Pitzer College)
DESCRIPTION:Title: Reading Topology from Open Books \nSpeaker: Bahar Acu\, Department of Mathematics\, Pitzer College \nAbstract: How can we study topological shapes that are outside the realm of our imagination? In this talk\, we will explore potential answers to that question by diving deep into dimensionality and topology via open books.  Topology is the study of properties of shapes that do not fundamentally change when they are bent and/or stretched without poking holes or ripping apart. At this point\, you must have heard that to a topologist\, a donut and a coffee cup (with a handle) are the same thing since one can be deformed into the other continuously\, i.e. only via bending and/or stretching. A very useful strategy in studying topological objects (in our case\, manifolds) is to factor them into smaller pieces. An open book decomposition of an n-dimensional manifold (the open book) is a special function that helps us study our object in terms of its (n-1)-dimensional fibers (the pages) and (n-2)-dimensional boundary of these fibers (the binding). This topological tool provides a natural framework for studying topological properties of certain geometric structures on smooth manifolds such as contact structures. For example\, every (contact) 3-dimensional 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 these objects in greater detail with examples. \n\n\n\n\n\nDr. Bahar Acu is an Assistant Professor of Mathematics at Pitzer College. 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. 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. Dr. Acu is the co-founder and lead-organizer of the inaugural international research collaboration conference for women and nonbinary mathematicians in the field of symplectic and contact geometry and topology. The peer-reviewed volume of this conference Research Directions in Symplectic and Contact Geometry and Topology\, lead-edited by Dr. Acu\, was recently published as a part of Springer’s Association for Women in Mathematics Series.
URL:https://colleges.claremont.edu/ccms/event/prof-bahar-acu/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230403T161500
DTEND;TZID=America/Los_Angeles:20230403T171500
DTSTAMP:20260404T123237
CREATED:20221020T204917Z
LAST-MODIFIED:20230320T152627Z
UID:2965-1680538500-1680542100@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Ivy Xiong (USC)
DESCRIPTION:Title: A common pathway to cancer: oncogenic mutations abolish p53 oscillations. \nAbstract:\nThe tumor suppressor p53 oscillates in response to DNA double-strand breaks\, a behavior that has been suggested to be essential to its anti-cancer function. Nearly all human cancers have genetic alterations in the p53 pathway; a number of these alterations have been shown to be oncogenic by experiment. These alterations include somatic mutations and copy number variations as well as germline polymorphisms. Intriguingly\, they exhibit a mixed pattern of interactions in tumors\, such as co-occurrence\, mutual exclusivity\, and paradoxically\, mutual antagonism. Using a differential equation model of p53-Mdm2 dynamics\, I employ Hopf bifurcation analysis to show that these alterations have a common mode of action\, to abolish the oscillatory competence of p53\, thereby impairing its tumor suppressive function. In this analysis\, diverse genetic alterations\, widely associated with human cancers clinically\, have a unified mechanistic explanation of their role in oncogenesis. In this talk\, I will also discuss the role of physiological oscillations in health and disease broadly. \nReferences: \nXiong\, L.\, and Garfinkel\, A. (2022). A common pathway to cancer: Oncogenic mutations abolish p53 oscillations. Progress in Biophysics and Molecular Biology. DOI: 10.1016/j.pbiomolbio.2022.06.002 \nXiong\, L.\, and Garfinkel\, A. (2023). Are physiological oscillations “physiological”? arXiv. DOI: 10.48550/arXiv.2301.08996
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-ivy-xiong-usc/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230404T121500
DTEND;TZID=America/Los_Angeles:20230404T131000
DTSTAMP:20260404T123237
CREATED:20230112T225942Z
LAST-MODIFIED:20230327T230516Z
UID:3023-1680610500-1680613800@colleges.claremont.edu
SUMMARY:Noise stability of ranked choice voting (Steven Heilman\, USC)
DESCRIPTION:Given votes for candidates\, what is the best way to determine the winner of the election\, if some of the votes have been corrupted or miscounted?  As we saw in Florida in 2000\, where a difference of 537 votes determined the president of the United States\, the electoral college system does not seem to be the best voting method. We will survey some recent progress on the above question along with some open problems. In particular\, we consider which ranked choice voting method is most stable to corrupted or miscounted votes. \nhttps://arxiv.org/abs/2209.11183
URL:https://colleges.claremont.edu/ccms/event/antc-talk-steven-heilman-usc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230405T161500
DTEND;TZID=America/Los_Angeles:20230405T173000
DTSTAMP:20260404T123237
CREATED:20230122T184214Z
LAST-MODIFIED:20230403T235658Z
UID:3045-1680711300-1680715800@colleges.claremont.edu
SUMMARY:Wallis and Landen: A Tale of two integrals (Prof. Victor Moll\, Tulane University)
DESCRIPTION:Title: Wallis and Landen: A Tale of two integrals \nSpeaker: Victor Moll\, Department of Mathematics\, Tulane University \nAbstract: Victor Moll Abstract \n  \n\n\n\n\n\nI was born in Santiago\, Chile during the last millenium\, on October 31st. My father was a doctor in a small town. I must have been bothering my family\, so they put me to school at an early age. My first mathematical mentor was Maria Pardo\, who recognized that I had some talent for Mathematics. Since this came easy\, I spent most of my middle and high school years trying to learn some more. The other subjects suffered.\nAfter high-school\, liking Mathematics\, I enrolled in an Engineering School. Not a good idea. But since one could transfer to study Mathematics\, everything worked out fine. After graduation\, since PhD’s in Math were rare in Chile\, I was hired as a faculty member of Universidad Santa Maria (not a catholic school\, this is the last name of some rich chilean person). In 1980 I left for New York City\, to begin my graduate education at the Courant Institute of NYU. I was interested in Number Theory and this is one of the best places for Applied Mathematics. Talk about being clueless. There I met my wife\, Lisa Fauci\, then also a student. (She is the former president of SIAM and has a large collections of well-deserved awards). We both got positions at Tulane University in 1986. We figure we will try New Orleans for a year or two. Never left.\nMy PhD thesis was in the stability of waves for a model for nerve conduction. Did that until I got tenure. After tenure I spent a sabbatical to finish writing a book on Elliptic Curves (jointly with my advisor\, Henry McKean). Then a piece of luck: a first year graduate student (George Boros) told me that he could compute an integral. Not impressed\, I tried Mathematica and it was unable to find the answer. This changed my research area. I have been computing integrals since then. Have written a variety of papers on this and three books (at diverse levels). I am currently the scientific editor of the table by Gradshteyn and Ryzhik\, one of the most used tables in the world.\nI enjoy working with undergraduate and graduate students\, professional colleagues and amateurs. I have been part of REU programs such as SIMU (in Puerto Rico)\, MSRI-UP (at Berkeley) and a variety of summer programs at Tulane. Lately I have been participating in programs aimed at faculty coming from institutions with high teaching load (Park City\, Utah and ICERM\, at Brown). My latest projects involves a new method called ”The method of brackets”\, invented by my collaborator Ivan Gonzalez\, a professor of Physics in Valparaiso\, Chile. Our works deals with the evaluation of Feynman diagrams\, coming in the description of elementary particles. To me\, this is the last leg of a cycle. As a high school student\, I wanted to study Particle Physics. It is never too late to go back to the beginning.
URL:https://colleges.claremont.edu/ccms/event/prof-victor-moll/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230406T163000
DTEND;TZID=America/Los_Angeles:20230406T173000
DTSTAMP:20260404T123237
CREATED:20230406T184956Z
LAST-MODIFIED:20230406T185011Z
UID:3120-1680798600-1680802200@colleges.claremont.edu
SUMMARY:Radial solutions to semilinear elliptic partial differential equations (Professor Alfonso Castro\, HMC)
DESCRIPTION:Using elementary methods from differential equations and analysis we will consider the existence and multiplicity of solutions to semilinear partial differential equations with boundary conditions.
URL:https://colleges.claremont.edu/ccms/event/radial-solutions-to-semilinear-elliptic-partial-differential-equationsprofessor-alfonso-castro-hmc/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230410T161500
DTEND;TZID=America/Los_Angeles:20230410T171500
DTSTAMP:20260404T123237
CREATED:20230131T010146Z
LAST-MODIFIED:20230816T023147Z
UID:3058-1681143300-1681146900@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Johannes Brust (UCSD)
DESCRIPTION:Title: PLSS: A Projected Linear Systems Solver (joint work with Michael Saunders) \nAbstract:\nIteratively solving linear systems has proven to be useful for many large applications. Projection methods use sketching matrices (possibly randomized) to generate a sequence of small projected subproblems\, but even the smaller systems can be costly. We develop a method in which one column is added to the sketching matrix each iteration. By choosing the sequence of all previous residuals for a sketch\, we derive an iterative process with orthogonal residuals that leads to a simple recursive update to approximate the solution. In exact arithmetic\, our method (PLSS) converges in at most \(n\) iterations\, where \(n\) is the column rank of matrix \(A\). In experiments on large sparse systems\, PLSS compares favorably with deterministic and state-of-the-art randomized methods.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-johannes-brust-ucsd/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230411T121500
DTEND;TZID=America/Los_Angeles:20230411T131000
DTSTAMP:20260404T123237
CREATED:20230201T212937Z
LAST-MODIFIED:20230405T034512Z
UID:3063-1681215300-1681218600@colleges.claremont.edu
SUMMARY:Discrete Calculus through generating functions (Wai Yan Pong\, Cal State Dominguez Hills)
DESCRIPTION:Discrete Calculus studies discrete structures\, such as sequences and graphs\, using techniques similar to those used in Calculus for continuous functions. The basic idea of generating functions is to associate a function with a sequence so that the coefficients of the power series expansion of the function represent the terms of the sequence. They provide a systematic way to encode information about a sequence or a combinatorial structure in a single function\, which can then be manipulated algebraically to obtain various types of results. In this talk\, we will examine a few well-known results about binomial coefficients\, Stirling numbers and Bernoulli numbers using both Discrete Calculus and generating functions as well as the interaction between them.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-wai-yan-pong-cal-state-dominguez-hills/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230412T161500
DTEND;TZID=America/Los_Angeles:20230412T173000
DTSTAMP:20260404T123237
CREATED:20230122T184442Z
LAST-MODIFIED:20230407T160958Z
UID:3046-1681316100-1681320600@colleges.claremont.edu
SUMMARY:Sequential: A Meditation on Recurrence (Prof. Ghassan Sarkis\, Pomona College)
DESCRIPTION:Title: Sequential: A Meditation on Recurrence \nSpeaker: Ghassan Sarkis\, Department of Mathematics\, Pomona College \nAbstract: Though I will share some adventures in sequence-generating neural networks just for fun\, the majority of this talk will be concerned with Fibonacci sequences modulo $p$ and $p^2$ from data-inflected and number-theoretic perspectives\, including questions about periods of the modular sequence (how long before it repeats itself?) and associated frequencies (how many of each residue is there?) also just for fun. Most of the presentation should be understandable to math students with exposure to linear algebra and modular arithmetic\, and will include some suggested paths they may want to pursue in their own research as well. \n\n\n\n\n\nGhassan Sarkis is an Associate Professor of Mathematics & Statistics at Pomona College to his great surprise. His training is in number theory\, though he enjoys dabbling in combinatorics\, data science\, and some other puzzles that cross his path. He is very excited to discover what happens next.
URL:https://colleges.claremont.edu/ccms/event/prof-ghassan-sarkis/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230415T100000
DTEND;TZID=America/Los_Angeles:20230415T120000
DTSTAMP:20260404T123237
CREATED:20230319T224042Z
LAST-MODIFIED:20230319T224042Z
UID:3101-1681552800-1681560000@colleges.claremont.edu
SUMMARY:GEMS April 15th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-april-15th-session/
LOCATION:Harvey Mudd College at the Shanahan Teaching and Learning Center\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230417T161500
DTEND;TZID=America/Los_Angeles:20230417T171500
DTSTAMP:20260404T123237
CREATED:20221207T193543Z
LAST-MODIFIED:20230816T023354Z
UID:3015-1681748100-1681751700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Emily de Jong (Caltech)
DESCRIPTION:Title: Modeling size distributions and collisions in cloud microphysics \nAbstract:\nFeedbacks between a warming atmosphere\, emission of aerosols\, and clouds and precipitation are one of the most difficult aspects for climate models to accurately capture. While these models operate at resolutions of tens or hundreds of kilometers\, many of the physics that determine how and where clouds form or precipitate function at the micron droplet scale. This separation of scales means that most of these “microphysics” must be modeled with only a few approximate quantities and physical equations. These simplifications lead to large uncertainties about the future climate\, such as the sensitivity of global warming to human-emitted aerosols.   \nThis talk presents two promising techniques for mathematically representing droplet size distributions and the microphysics that govern how droplets within the distribution evolve. The first method attempts to span a gap in complexity between a simple method of moments and expensive “bin” or spectral representations by collocating smooth basis functions over the droplet size domain. With intelligently selected basis functions\, this approach can represent the process of cloud droplets coalescing to form rain with bin-like accuracy\, but with a degree of complexity that is attainable for global simulations. Next\, we present a high-complexity high-fidelity Lagrangian approach known as the superdroplet method. This approach shows promise as a research tool to verify and train future microphysics models\, but it is currently incomplete in its purview of droplet physics. We describe a probabilistic approach to representing collisional breakup\, an often-overlooked process that can impact precipitation rates\, cloud lifetime\, and aerosol processing.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-emily-de-jong-caltech/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
END:VCALENDAR