Title: Geometric Optimization Involving Partial Differential Equations and Its Applications Speaker: Professor Chiu-Yen Kao, Claremont McKenna College, Claremont, CA USA Abstract: Optimal geometric design for energy functionals, which depends on solutions to partial […]
I will give a brief introduction to well-rounded lattices and to their utility in wireless communications and post-quantum security. We will see how the lattice theta series naturally arises in […]
We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Jim Hoste (Pitzer College) Title: Variations on the Kauffman Bracket Abstract: Forty years ago, Lou Kauffman formulated his "bracket" polynomial, a function from link diagrams to Laurent polynomials in one variable. This elementary construction leads to a simple definition of the Jones Polynomial. […]
For the next CCMS Colloquium on April 3rd Wednesday, we invite all MATH faculty, and students intending to enroll in upper division math courses to attend the Fall 2024 Course Preview Session of all the upper division math courses offered across the consortium in Fall 2024. Faculty, We strongly encourage you to attend so that […]
Title: The Chronicles of Fractal Geometry: Fractal Strings, and Functorial Harps Abstract: In this talk, we explore the colorful analytical world of fractal geometry. We introduce fractal strings in the […]
Title: Numerical studies to the Chaplygin gas system and Pressureless Euler Equations Speaker: Ying Wang University of Oklahoma, USA Abstract In this talk, we will discuss the numerical solutions to […]
In late March, students, staff, and faculty were invited to help collaboratively build a large-scale geometric sculpture on the campus of Harvey Mudd College, demonstrating a relationship between truncated octahedra […]
The famous primitive element theorem states that every number field K is of the form Q(a) for some element a in K, called a primitive element. In fact, it is […]
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Ryan Maguire (Dartmouth College) Title: Relative Strengths of Knot Invariants by Experiment Abstract: Four knot polynomials have been well studied by topologists, graph theorists, and algebraists alike: The Alexander, Jones, HOMFLY-PT, and Khovanov polynomials. It is known that the Khovanov polynomial is […]
Title: Structural Ramsey Theory and Logic Speaker: Lynn Scow, Professor of Mathematics, California State University, San Bernardino Abstract: The connection between Ramsey theory and logic goes back to Frank P. Ramsey's 1929 paper in which he announced his famous Ramsey theorem for finite sequences. This theorem states that for any partition of all sequences of length […]
Title: On Nonlinear Schrödinger Type Equations: Wave Modulation and Mathematical Analysis Abstract: The nonlinear Schrödinger (NLS) equation describes the evolution of slowly varying packets of quasi-monochromatic waves in weakly nonlinear […]
