Title: Building the Fan of a Toric Variety Speaker: Reginald Anderson, Department of Mathematical Sciences, Claremont McKenna College Abstract: Roughly speaking, algebraic geometry studies the zero sets of polynomials, which […]
Title: Thinking Inside the Box: A combinatorial approach to Schubert Calculus Speaker: Sami H. Assaf, Department of Mathematics, University of Southern California Abstract: Given 2 lines in the plane, how […]
Title: Equality Cases of Geometric Inequalities Speaker: Igor Pak, Department of Mathematics, University of California, Los Angeles Abstract: Geometric inequalities go back to antiquity, and so do their equality cases. […]
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Title: What is a moduli space? Speaker: Javier Gonzalez Anaya, Department of Mathematics, Harvey Mudd College Abstract: A natural endeavour in mathematics is to classify objects according to their properties. For […]
Title: Slope gap distributions of translation surfaces Speaker: Taylor McAdam, Department of Mathematics, Pomona College Abstract: How “random” are the rational numbers? To make sense of this question, let us consider the set of Farey fractions of level n—that is, the rational numbers between 0 and 1 with denominator at most n. It turns out that these distribute uniformly in the […]
Title: Lonely Runners and My Favorite Polyhedron Speaker: Matthias Beck, Department of Mathematics, San Francisco State University Abstract: We study the Lonely Runner Conjecture, conceived by Wills in the 1960's, and originally phrased in terms of Diophantine approximation: Given positive integers n_1, n_2, ..., n_k, there exists a positive real number t such that for all […]
Title: Adinkra Heights and Color-Splitting Rainbows Speaker: Ursula Whitcher, American Mathematical Society Abstract: Adinkras are decorated graphs that encapsulate information about conjectural relationships between fundamental particles in physics. If we color the edges of an Adinkra with a rainbow of shades in a specific order, we obtain a special curve that we can study usingalgebraic […]
Title: “The science of Mathematics is not crystallized into text-books” : The Bryn Mawr Mathematical Journal Club (1896 — 1924) Speaker: Jemma Lorenat, Pitzer College Abstract: As mathematics departments in the United States began to shift toward standards of original research at the end of the nineteenth century, many adopted journal clubs as forums for […]
Title: Graph Complexes and Moduli Spaces of Curves Speaker: Siddarth Kannan, UCLA Abstract: I will begin by defining a certain combinatorial object called a graph complex. Then I will give a brief introduction to the moduli space of curves. The study of the geometry of this moduli space has occupied several generations of mathematicians, across […]
Title: Math as Art and Recreation Speaker: Peter Kagey, HMC Abstract: Recreational Mathematics is an area of math which is rooted in exploration and playfulness, and includes puzzles, games, art, and more. This talk takes a closer look at these ideas, emphasizing how a foundation of curiosity and play can lead to insightful connections with various […]
Title: Shrinkage Estimation for Causal Inference and Experimental Design Speaker: Evan T. R. Rosenman, Assistant Professor of Statistics, Claremont McKenna College Abstract: Passive collection of observational data -- in settings such as medicine, insurance, and e-commerce -- is a ubiquitous feature of modern life. For statisticians, these ever-proliferating datasets are both promising and perilous. Observational […]
