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Slope Gap Distributions of Translation Surfaces (Taylor McAdam, Pomona College)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

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 […]

GEMS November 4th Session

Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

Applied Math Seminar: Claremont Colleges Course Previews for Spring 2024

Estella 1021 (Emmy Noether Room), Pomona College Claremont, CA, United States

During this student-centered Applied Math Seminar, there will be discussion and presentations about upcoming courses offered in applied mathematics, to help students make their enrollment choices for Spring 2024 and beyond.

Frobenius coin-exchange generating functions (Matthias Beck, San Francisco State University)

Roberts North 102, CMC

We study variants of the Frobenius coin-exchange problem: Given n positive relatively prime parameters, what is the largest integer that cannot be represented as a nonnegative integral linear combination of the given integers? This problem and its siblings can be understood through generating functions with 0/1 coefficients according to whether or not an integer is representable. […]

Claremont Topology Seminar: Hyunki Min (UCLA)

Fletcher 110, Pitzer College 1050 N Mills Ave, Claremont, CA, United States

Title: Contact structures and the mapping class group of lens spaces Abstract: One important problem in contact topology is to classify contact structures on a given manifold. Around 20 years ago, Giroux and Honda classified contact structures on lens spaces. A natural question to ask after that is how the transformations on lens spaces interact […]

Lonely Runners and My Favorite Polyhedron (Matthias Beck, San Francisco State University)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

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 […]

Applied Math Seminar: Adam Yassine (Pomona College)

Estella 1021 (Emmy Noether Room), Pomona College Claremont, CA, United States

Title: On the Composition of Classical Mechanical Systems Abstract: Compositionality is a basic principle for understanding the physical world. The underlying idea is to study a system by studying the ways in which the components of the system compose to form the system. Category theory is an area in mathematics that is particularly well-suited for […]

History and Philosophy of Mathematics Seminar: Kris Palmieri (University of Chicago)

Fletcher 110, Pitzer College 1050 N Mills Ave, Claremont, CA, United States

True Grit: Writing the History of Women at Yerkes Observatory, 1895–1950 Abstract: Women at Yerkes Observatory earned advanced degrees, conducted their own research, collaborated on projects with peers of both sexes, and authored publications in their own names in the first half of the Twentieth Century. Yet Alice Hall Farnsworth, Mary Murray Hopkins, Harriet McWilliams […]

f^*-vectors of lattice polytopes (Max Hlavacek, Pomona College)

Roberts North 102, CMC

The Ehrhart polynomial of a lattice polytope P counts the number of integer points in the nth integral dilate of P. The f^* -vector of P, introduced by Felix Breuer in 2012, is the vector of coefficients of the Ehrhart polynomial with respect to the binomial coefficient basis . Similarly to h and h^* -vectors, […]

Geometry and Topology Seminar: Claremont Colleges Course Previews for Spring 2024

Fletcher 110, Pitzer College 1050 N Mills Ave, Claremont, CA, United States

On November 14th, Tuesday from 3-4pm in Fletcher 110, Geometry and Topology Seminar invites students and faculty to a course preview session devoted to a discussion and presentations about upcoming Spring 2024 courses in geometry, topology and/or with applications in geometry and topology to help students make their enrollment choices. We will have some refreshments […]

Adinkra Heights and Color-Splitting Rainbows (Ursula Whitcher, American Mathematical Society)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

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 […]

Continued fractions, directed graphs, and defining spectral triples on Effros-Shen AF algebras (Samantha Brooker, Arizona State University)

Estella 2141 610 N College Ave, Claremont, United States

The Effros-Shen algebra corresponding to an irrational number $\theta$ can be described by an inductive sequence of direct sums of matrix algebras, where the continued fraction expansion of $\theta$ encodes the dimensions of the summands, and how the matrix algebras at the nth level fit into the summands at the (n+1)th level. In recent work, […]