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September 2020

Student Research Presentations II

September 23, 2020 @ 4:15 pm - 5:30 pm

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…

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Student Research Presentations III

September 23, 2020 @ 4:15 pm - 5:15 pm

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)…

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Prof. Jemma Lorenat

September 30, 2020 @ 4:15 pm - 5:15 pm

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…

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October 2020

Prof. Satyan Devadoss

October 7, 2020 @ 4:15 pm - 5:15 pm

Title: Unsolved Mathematics at Burning Man Abstract: Rising 12 feet tall with an 18-foot wingspan, a 2-ton unfolding dodecahedron comes to life at Burning Man, the world’s most influential large-scale sculpture showcase. The artwork is illuminated by 16,000 LEDs, requiring 6500 build-hours and $50,000 in donated funds, with an interior large enough to hold 15 people and fully-lined with massive mirrors. This sculpture alludes to a tantalizing open problem in mathematics on unfolding polyhedra, tracing its origins back 500 years…

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Prof. Grigoriy Blekherman

October 14, 2020 @ 4:15 pm - 5:30 pm

Title: Nonnegative Polynomials and Sums of Squares Abstract: Is x4-2x3+7x2-2x+1 nonnegative for any value of x? One way of showing that this holds is by writing x4-2x3+7x2-2x+1=1/2(x2-3x+1)2+1/2(x2+x+1)2. Studying the relationship between non-negativity and sums of squares has a distinguished history in mathematics starting with work of David Hilbert and Hilbert's 17th problem. I will discuss the history and some modern applications of sums of squares in optimization and combinatorics. Prof. Blekherman is on the Mathematics faculty at Georgia Tech; he…

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Moody Lecture: Prof. Nadia Abuelezam

October 21, 2020 @ 4:15 pm - 5:30 pm

Title: Injustice, Inequity, and Inequality: Lessons at the Intersection of Mathematics, Epidemiology, and Racism Registration information for this talk at: https://www.hmc.edu/mathematics/moody-lecture-series/ Abstract:The COVID-19 pandemic has exposed existing health inequities for communities of color in the United States. Racism is a known structural cause of these health inequities. Counterfactuals are essential to our understanding of causal relationships in epidemiology, but how do you formulate a counterfactual for racism? This talk will explore the basis for counterfactual thinking in epidemiology and the…

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Prof. Stephan Ramon Garcia

October 28, 2020 @ 4:15 pm - 5:30 pm

Title: Combinatorics and the Kitchen Sink Abstract: Numerical semigroups are simple combinatorial objects that lead to deep and subtle questions. We answer in one fell swoop virtually all asymptotic questions about factorization lengths in numerical semigroups. Surprisingly, this uses tools from complex, harmonic, and functional analysis, probability theory, algebraic combinatorics, and computer-aided design! Our results yield uncannily accurate predictions that agree with numerical computations, along with some totally unexpected byproducts. This work was partially supported by NSF Grant DMS-1800123. Joint…

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November 2020

Prof. Sarah Marzen

November 4, 2020 @ 4:15 pm - 5:30 pm

Title: Training dynamical systems to predict their input Abstract: Evolved systems seem to predict their environment. Even bacteria can implicitly predict future concentrations of scarce sugar or antibiotics, and emerging evidence suggests that even our retinae are able to predict what we see. How? We explore some basic design principles for what causes a system to predict its input, finishing with a call to arms for mathematicians to develop a better framework for understanding input-dependent dynamical systems or recurrent networks.…

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Prof. Eva Kanso

November 11, 2020 @ 4:15 pm - 5:15 pm

Title: Sea star locomotion Abstract: The oral surface of sea stars (starfish) is lined with arrays of tube feet that enable them to achieve highly controlled locomotion on various terrains and to even gallop and bounce. The activity of the tube feet is orchestrated by a nerve net that is distributed throughout the body; there is no central brain. How such a decentralized nervous system produces a coordinated locomotion is yet to be understood. To examine the sensorimotor control underlying…

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Prof. Gregory DeAngelo

November 18, 2020 @ 4:15 pm - 5:30 pm

Title: The Effect of Criminal Justice Decisions on Community Safety Abstract: During this talk we will, time permitting, examine several law enforcement actor's impact on community safety, including law enforcement, prosecutors and judges. To start, we examine the impact of law enforcement race and gender on use of force. We first show that conditioning on arrests has the potential to greatly impact the results obtained. Instead, we make use of an instrumental variable approach to examine the as-if random assignment…

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