• 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 […]

  • 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 […]

  • 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 […]

  • 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 […]

  • 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, […]

  • On the Cox ring of a weighted projective plane blown-up at a point (Javier Gonzalez Anaya, HMC)

    Roberts North 102, CMC

    The Cox ring of a projective variety is the ring of all its meromorphic functions, together with a grading of geometric origin. Determining whether this ring is finitely generated is a challenging task, even for simple examples. In this talk, we will discuss our efforts to tackle this problem for a specific class of varieties, […]