Title: A Survey of Diophantine Equations Speaker: Edray Herber Goins, Professor of Mathematics and Statistics, Pomona College Abstract: There are many beautiful identities involving positive integers. For example, Pythagoras knew $3^2 […]
Title: Developments in Noncommutative Fractal Geometry Abstract: As a noncommutative fractal geometer, I look for new expressions of the geometry of a fractal through the lens of noncommutative geometry. At the quantum scale, the wave function of a particle, but not its path in space, can be studied. Riemannian methods often rely on smooth paths to encode […]
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 […]
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 […]
