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A Survey of Diophantine Equations (Edray Goins, Pomona College)

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

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 $3^2 + 4^2 = 5^2$ while Plato knew $3^3 + 4^3 + 5^3 = 6^3$. Euler discovered $59^4 + 158^4 = 133^4 + 134^4$, and even […]

Analysis seminar: Therese Basa Landry (UCSB)

Estella 2131 610 N College Ave, Claremont, United States

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 […]

Chiu-Yen Kao (Claremont McKenna College)

Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States

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 differential equations, provides a vast number of interesting and challenging mathematical problems. One of the famous problems is that L. Rayleigh conjectured that the disk […]

Well-rounded lattices and security: what we (don’t) know (Camilla Hollanti, Aalto University, Finland)

Estella 2099

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 these contexts and discuss its connections to well-rounded lattices. The talk is based on joint work with Laia Amoros, Amaro Barreal, Taoufiq Damir, Oliver Gnilke, […]

Claremont Topology Seminar: Jim Hoste (Pitzer College)

Estella 2099

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. […]

CCMS Colloquium Presents the Fall 2024 Course Preview Session

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

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 […]

Analysis seminar: Shanna Dobson (UCR)

Estella 2131 610 N College Ave, Claremont, United States

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 sense of Lapidus, both intuitively and by way of rigorous constructions. We examine rich illustrations of higher dimensional fractals and p-adic fractal strings. Then, we […]

GEMS April 6th Session

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

Ying Wang (University of Oklahoma)

Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States

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 the Riemann problem for Chaplygin gas equation, which is the Euler equations equipped with the state equation p = -1/\rho, as well as the 2D […]

Building TOWARD Geometry: Truncated Octahedra work as Rhombic Dodecahedra (Peter Kagey, HMC)

Estella 2099

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 and rhombic dodecahedra, which are two examples of space-filling polyhedra. I’ll talk about the process of designing and building the sculpture, some geometry and combinatorics […]

Claremont Topology Seminar: Ryan Maguire (Dartmouth College)

Estella 2099

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 […]