(Cancelled!!) Applied Math Talk: Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems given by Prof. Paul Carter (University of Minnesota)
2020-03-09 16:15 - 17:15 (America/Los_Angeles) | Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave., Claremont, California, 91711
In water-limited regions, competition for water resources results in the formation of vegetation patterns; on sloped terrain, one finds that the vegetation typically aligns in stripes or arcs. The dynamics of these patterns can be modeled by reaction-diffusion PDEs describing the interplay of vegetation and water resources, where sloped terrain is modeled through advection terms representing the downhill flow of water. We focus on one such model in the ‘large-advection’ limit, and we prove the existence of traveling planar stripe patterns using analytical and geometric techniques. We also discuss implications for the stability of the resulting patterns, as well as the appearance of curved stripe solutions.

Finding bases of new infinite dimensional representations of $mathfrak{osp}(1|2n)$ ( Dwight Williams, UT Arlington)
2020-03-10 12:15 - 13:10 | Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave., Claremont, California, 91711
The orthosymplectic Lie superalgebra $mathfrak{osp}(1|2n)$ is rich in representation theory: while the finite dimensional $mathfrak{osp}(1|2n)$-module category is semisimple, the study of infinite dimensional representations of $mathfrak{osp}(1|2n)$ is wide open. In this talk, we will define the orthosymplectic Lie superalgebras, realize $mathfrak{osp}(1|2n)$ as differential operators on complex polynomials, and describe the space of polynomials in commuting and anti-commuting variables as a representation space for $mathfrak{osp}(1|2n)$. Moreover, we will present operators—and perhaps generalized versions of these operators—which help give explicit bases for certain infinite dimensional $mathfrak{osp}(1|2n)$-modules.

Edray Goins: Indiana Pols Forced to Eat Humble Pi, The Curious History of an Irrational Number
2020-03-11 16:15 - 17:15 | Freeberg Forum, LC 62, Kravis Center, CMC
In 1897, Indiana physician Edwin J. Goodwin believed he had discovered a way to square the circle, and proposed a bill to Indiana Representative Taylor I. Record which would secure Indiana’s the claim to fame for his discovery. About the time the debate about the bill concluded, Purdue University professor Clarence A. Waldo serendipitously came across the claimed discovery, and pointed out its mathematical impossibility to the lawmakers. It had only be shown just 15 years before, by the German mathematician Ferdinand von Lindemann, that it was impossible to square the circle because π is an irrational number. This fodder became ignominiously known as the “Indiana Pi Bill” as Goodwin’s result would force $pi = 3.2$.
In this talk, we review this humorous history of the irrationality of $pi$. We introduce a method to compute its digits, present Lindemann’s proof of its irrationality (following a simplification by Miklo ́s Laczkovich), discuss the relationship with the Hermite-Lindemann-Weierstrass theorem, and explain how Edwin J. Goodwin came to his erroneous conclusion in the first place.

ANTC talk by Asaf Ferber (UC Irvine)
2020-03-24 12:15 - 13:10 | Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave., Claremont, California, 91711

A competent translation/a pitiful bungle: The Foundations of Geometry (Jemma Lorenat)
2020-03-25 16:15 - 17:15 | Freeberg Forum, LC 62, Kravis Center, CMC
David Hilbert’s Grundlagen der Geometrie is a rare example of a historical mathematics text that is still profitably read today and continues to inspire research in mathematics, computer science, and philosophy.
The effort of publishing an English translation of Hilbert in 1902 involved a diverse swath of the American mathematical community. Edgar Jerome Townsend completed a first draft of his authorized translation in a few weeks, but the process of creating a successful publication involved negotiations, corrections, and attention to detail that continued well after the first edition appeared in print. Meanwhile, published and private texts that circulated around the English edition contained conflicting conclusions with respect to the quality of the translation, the book’s audience, and the parameters of a scholarly critique. This talk sheds light on American mathematics at a pivotal time in its history and raises questions about the language and form of mathematical texts that continue to be relevant today.

Martin Bobb (UT Austin)
2020-03-31 15:00 - 16:00 | Millikan 2099, Pomona College, 610 N. College Ave., Claremont, CA, 91711, United States
TBA

Dagan Karp: Tropical Geometry and Moduli Spaces
2020-04-01 16:15 - 17:15 | Freeberg Forum, LC 62, Kravis Center, CMC
In this talk, I’ll attempt to give an introduction to the beautiful world of tropical geometry. As an application, I’ll describe work with Siddarth Kannan (Pomona 2018) and Shiyue Li (Mudd 2017) using tropical geometry to compute the cohomology of certain moduli spaces, called heavy/light Hassett spaces, which are of interest in a wide range of areas, including the minimal model program and enumerative geometry.

Satyan Devadoss: Unfolding Mathematics at Burning Man
2020-04-08 16:15 - 17:15 | Freeberg Forum, LC 62, Kravis Center, CMC

Cancelled: Applied Math Talk given by Professor Mario Banuelos (Fresno State)
2020-04-13 16:15 - 17:15 | Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave., Claremont, California, 91711

ANTC talk by David Conlon (Cal Tech)
2020-04-14 08:00 - 17:00 | Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave., Claremont, California, 91711

Mike Izbicki
2020-04-15 16:15 - 17:15 | Freeberg Forum, LC 62, Kravis Center, CMC

Cancelled: Applied Math Talk given by Prof. Prateek Bhakta (University of Richmond)
2020-04-20 16:15 - 17:15 | Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave., Claremont, California, 91711

ANTC talk by Dagan Karp (HMC)
2020-04-21 12:15 - 13:10 | Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave., Claremont, California, 91711

Eva Kanso: How sea stars move
2020-04-22 16:15 - 17:15 | Freeberg Forum, LC 62, Kravis Center, CMC

ANTC talk by Stephan Garcia (Pomona)
2020-04-28 12:15 - 13:10 | Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave., Claremont, California, 91711

Kiran S. Kedlaya
2020-04-29 16:15 - 17:15 | Argue Auditorium, Pomona College, 610 N. College Ave., Claremont, CA, 91711, United States

ANTC talk (Eric Stucky, University of Minnesota)
2020-05-05 12:15 - 13:10 | Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave., Claremont, California, 91711

Shahriar Shahriari
2020-05-06 16:15 - 17:15 | Freeberg Forum, LC 62, Kravis Center, CMC

Welcome Back Party
2020-08-26 16:15 - 17:15 | Zoom
David Bachman, chair of the CCMS Executive Committee, hosts.
Please join us as we welcome our new community members, socialize, and discuss how we’re all going to cope with the semester ahead. Grab a snack, a refreshing beverage, and get on-line!

Prof. Edray Goins
2020-09-02 16:15 - 17:15 | Zoom
Title: Indiana Pols Forced to Eat Humble Pi, The Curious History of an Irrational Number
Speaker: Prof. Edray Goins, Pomona College
In 1897, Indiana physician Edwin J. Goodwin believed he had discovered a way to square the circle, and proposed a bill to Indiana Representative Taylor I. Record which would secure Indiana’s the claim to fame for his discovery. About the time the debate about the bill concluded, Purdue University professor Clarence A. Waldo serendipitously came across the claimed discovery, and pointed out its mathematical impossibility to the lawmakers. It had only be shown just 15 years before, by the German mathematician Ferdinand von Lindemann, that it was impossible to square the circle because π is an irrational number. This fodder became ignominiously known as the “Indiana Pi Bill” as Goodwin’s result would force π = 3.2.
In this talk, we review this humorous history of the irrationality of π. We introduce a method to compute its digits, present Lindemann’s proof of its irrationality (following a simplification by Miklós Laczkovich), discuss the relationship with the Hermite-Lindemann-Weierstrass theorem, and explain how Edwin J. Goodwin came to his erroneous conclusion in the first place.

Prof. Sam Nelson
2020-09-09 16:15 - 17:15 | Zoom
Title: Experimental Knot Music
Abstract: In knot theory, there are algebraic structures we can use to distinguish different types of knots and links. In this talk we will ask an unexpected question: what do they sound like? We will see a number of techniques I have been developing for interpreting knot-theoretic structures as elements of musical composition.
Prof. Nelson is Professor and Chair of the Department of Mathematical Sciences at Claremont McKenna College.

Applied Math Talk: Applications of Critical Point Theory to Semilinear Elliptic Boundary Value Problems given by Prof. Leandro Recova
2020-09-14 15:00 - 16:00 | Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave., Claremont, California, 91711
Abstract of Leandro Recova’s talk

Prof. Kiran Kedlaya
2020-09-16 16:15 - 17:15 | Zoom
Title: Space vectors forming rational angles
Abstract:
We classify all possible configurations of vectors in three-dimensional space with the property that any two of the vectors form an angle whose measure is a rational multiple of π. As a corollary, we find all tetrahedra whose six dihedral angles are all rational multiples of π.While these questions (and their answers) are of an elementary nature, their resolution will take us on a tour through cyclotomic number fields, computational algebraic geometry, and an amazing fact about the geometry of tetrahedra discovered by two physicists in the 1960s. Joint work with Sasha Kolpakov, Bjorn Poonen, and Michael Rubinstein.
Dr Kedlaya is Professor of Mathematics and the Stefan E. Warschawski Chair in Mathematics at the University of California, San Diego.

Applied Math Talk: Variable Selection via Arbitrary Rectangle-Range Generalized Elastic Net given by Yujia Ding (CGU)
2020-09-21 15:00 - 16:00 | Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave., Claremont, California, 91711
We propose a regularization and variable selection method, named arbitrary rectangle-range generalized elastic net (ARGEN). It can be applied in high dimensional sparse linear regression models. We propose an algorithm to solve ARGEN; it is an extension of multiplicative updates. Multiple simulation studies and a real-world application in the stock market show that ARGEN applies to more complicated problems, outperforms and extends the lasso, ridge, and elastic net.

Student Research Presentations: I
2020-09-23 16:15 - 17:15 | Zoom
4:20 pm
Title: Methodology of Global Sensitivity Analysis for Determination of Important Parameters in a Mathematical Model
Presenter: An Do (CGU)
4:30 pm
Title: Using Data Science to gain insights into the relationship between Metagenomics and Psychiatric Disorders
Presenter: Tom Fu (HMC)
4:40 pm
Title: Classifying time series data via manifold techniques
Presenter: Adam Guo (Pomona)
4:50 pm
Title: Finding stability within chaos: Part I
Presenter: Rafa Martinez-Avial, Siddharth Namachivayam (Pomona)
5:00 pm
Title: Finding stability within chaos: Part II
Presenter: Rafa Martinez-Avial, Siddharth Namachivayam (Pomona)
Presenters have a total of 10 minutes for talk and Q & A

Student Research Presentations III
2020-09-23 16:15 - 17:15 | Zoom
4:20
Title: Nested Links, Linking Matrices, and Crushtaceans
Presenter: Madeline Brown (Scripps)
4:30
Title: Computing Cube Decisions for Backgammon Endgame Positions
Presenter: Mathus Leungpathomaram (HMC)
4:40
Title: The Limiting Spectral Measure for an Ensemble of Generalized Checkerboard Matrices
Presenter: Jiahui Yu (Pomona)
4:50
Title: The Stationary Distribution of Recombination, Part I
Presenters: Emma Kolesnik (Scripps), Sherry Hua (Pitzer), Ethan Ong (Pomona)
5:00
Title: The Stationary Distribution of Recombination, Part II
Presenters: Emma Kolesnik (Scripps), Sherry Hua (Pitzer), Ethan Ong (Pomona)
5:10
Title: The Stationary Distribution of Recombination, Part III
Presenters: Emma Kolesnik (Scripps), Sherry Hua (Pitzer), Ethan Ong (Pomona)
Presenters have a total of 10 minutes for talk and Q&A

Student Research Presentations II
2020-09-23 16:15 - 17:30 | Zoom
4:20pm
Title: Measuring Publication Bias in Foreign Language Editions of Russian State-Owned Media Company RT
Presenter: Benjamin Figueroa (CMC)
4:30pm
Title:Multilingual Emoticon Prediction of Tweets about COVID-19
Presenter: Stefanos Stoikos (Pomona),
4:40pm
Title: Evaluating Word Embeddings on Low-Resource Languages
Presenter: Nathan Stringham (Pomona),
4:50pm
Title: An Epistemic Logic of Desires, Part I
Presenters: Rui-Jie Yew (Scripps) and Wendy Zhang (Scripps),
5:00pm
Title: An Epistemic Logic of Desires, Part II
Presenters: Rui-Jie Yew (Scripps) and Wendy Zhang (Scripps),
Presenters have a total of 10 minutes for talk and Q&A.

Applied Math Talk: Nonlocal Helmholz-Hodge decompositions for nonlocal operators given by Prof. Petronela Radu (University of Nebraska - Lincoln)
2020-09-28 15:00 - 16:00 | Zoom
Nonlocal theories have emerged with powerful models and methods to analyze and predict complex phenomena. Different versions of nonlocal operators have been proposed, each with its advantages and challenges. In this talk I will give an introduction to main ideas in the nonlocality framework and present two sets of results for Helmholtz-Hodge type decompositions.

Prof. Jemma Lorenat
2020-09-30 16:15 - 17:15 | Zoom
Title: A competent translation/a pitiful bungle: The Foundations of Geometry
Abstract: David Hilbert’s Grundlagen der Geometrie is a rare example of a historical mathematics text that is still profitably read today and continues to inspire research in mathematics, computer science, and philosophy.
The effort of publishing an English translation of Hilbert in 1902 involved a diverse swath of the American mathematical community. Edgar Jerome Townsend completed a first draft of his authorized translation in a few weeks, but the process of creating a successful publication involved negotiations, corrections, and attention to detail that continued well after the first edition appeared in print. Meanwhile, published and private texts that circulated around the English edition contained conflicting conclusions with respect to the quality of the translation, the book’s audience, and the parameters of a scholarly critique. This talk sheds light on American mathematics at a pivotal time in its history and raises questions about the language and form of mathematical texts that continue to be relevant today.
Prof. Lorenat is Assistant Professor at Pitzer College.

Applied Math Talk: Multiwavelet discontinuous Galerkin methods and automated parameters for troubled cell indication given by Professor Jennifer Ryan (Colorado School of Mines)
2020-10-05 15:00 - 16:00 | CA
This talk focuses on using a multiwavelet representation of the discontinuous Galerkin (DG) approximation for trouble cell indication. The multiwavelet representation is related to the jumps in the (derivatives of) the DG approximation. We then compare this indicator with other, more established indicators as well as machine learning approaches and demonstrate that it is possible to choose the parameters for troubled cell indicators automatically and appropriately.
