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The Hilbert space approach in the theory of differential equations (Adolfo Rumbos, Pomona College)

Roberts North 105, CMC 320 E. 9th St., Claremont, CA, United States

In this talk we discuss the Hilbert space approach, or the variational approach, in the study of questions of existence and multiplicity for some two-point boundary-value problems for nonlinear, second order, ordinary differential equations (ODEs).  We illustrate the use of the Hilbert space approach in obtaining some old existence results for periodic solutions of a […]

Applied Math Seminar: Linh Huynh (University of Utah)

Claremont, CA, United States

Title:Inferring birth and death rates from population size time series data Abstract: Models of population dynamics are usually formulated and analyzed with net growth rates. However, separately identifying birth and death rates is significant in various biological applications such as disambiguating (1) exploitation vs. interference competition in ecology, (2) bacteriostatic vs. bactericidal antibiotics in clinical […]

The Smith normal form of a polynomial of a random integral matrix (Gilyoung Cheong, UC Irvine)

Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

Given a prime p, let P(t) be a non-constant monic polynomial in t over the ring of p-adic integers. Let X(n) be an n x n uniformly random (0,1)-matrix over the same ring. We compute the asymptotic distribution of the cokernel of P(X(n)) as n goes to infinity. When P(t) is square-free modulo p, this […]

Reading Topology from Open Books (Prof. Bahar Acu, Pitzer College)

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

Title: Reading Topology from Open Books Speaker: Bahar Acu, Department of Mathematics, Pitzer College Abstract: How can we study topological shapes that are outside the realm of our imagination? In this talk, we will explore potential answers to that question by diving deep into dimensionality and topology via open books.  Topology is the study of properties of shapes that […]

Applied Math Seminar: Ivy Xiong (USC)

Claremont, CA, United States

Title: A common pathway to cancer: oncogenic mutations abolish p53 oscillations. Abstract: The tumor suppressor p53 oscillates in response to DNA double-strand breaks, a behavior that has been suggested to be essential to its anti-cancer function. Nearly all human cancers have genetic alterations in the p53 pathway; a number of these alterations have been shown to […]

Noise stability of ranked choice voting (Steven Heilman, USC)

Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

Given votes for candidates, what is the best way to determine the winner of the election, if some of the votes have been corrupted or miscounted?  As we saw in Florida in 2000, where a difference of 537 votes determined the president of the United States, the electoral college system does not seem to be […]

Wallis and Landen: A Tale of two integrals (Prof. Victor Moll, Tulane University)

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

Title: Wallis and Landen: A Tale of two integrals Speaker: Victor Moll, Department of Mathematics, Tulane University Abstract: Victor Moll Abstract   I was born in Santiago, Chile during the last millenium, on October 31st. My father was a doctor in a small town. I must have been bothering my family, so they put me […]

Applied Math Seminar: Johannes Brust (UCSD)

Claremont, CA, United States

Title: PLSS: A Projected Linear Systems Solver (joint work with Michael Saunders) Abstract: Iteratively solving linear systems has proven to be useful for many large applications. Projection methods use sketching matrices (possibly randomized) to generate a sequence of small projected subproblems, but even the smaller systems can be costly. We develop a method in which […]

Discrete Calculus through generating functions (Wai Yan Pong, Cal State Dominguez Hills)

Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

Discrete Calculus studies discrete structures, such as sequences and graphs, using techniques similar to those used in Calculus for continuous functions. The basic idea of generating functions is to associate a function with a sequence so that the coefficients of the power series expansion of the function represent the terms of the sequence. They provide […]

Sequential: A Meditation on Recurrence (Prof. Ghassan Sarkis, Pomona College)

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

Title: Sequential: A Meditation on Recurrence Speaker: Ghassan Sarkis, Department of Mathematics, Pomona College Abstract: Though I will share some adventures in sequence-generating neural networks just for fun, the majority of this talk will be concerned with Fibonacci sequences modulo $p$ and $p^2$ from data-inflected and number-theoretic perspectives, including questions about periods of the modular […]

GEMS April 15th Session

Harvey Mudd College at the Shanahan Teaching and Learning Center 301 Platt Blvd., Claremont, CA, United States