We showcase Functions Which Represent Prime Numbers. Presented by Joy Shin. Link: https://www.jstor.org/stable/2032078 For questions about the event, please contact your NTLS Organizers: Maxwell Kooiker (Maxwell.Kooiker@cgu.edu) or Prof. Edray Goins […]
This GEMS session will be facilitated by Professor Chiu-Yen Kao from Claremont McKenna College. Title: The Magic of 0s and 1s Abstract: Have you ever wondered how data in a computer is stored? In this talk, we'll crack open the binary numeral system, the simple code of 0s and 1s that represents everything on your […]
Political scientists forecast elections, not primarily to satisfy public interest, but to validate statistical models used for estimating quantities of scholarly interest. Although scholars have learned a great deal from these models, they can be embarrassingly overconfident: Events that should occur once in 10,000 elections occur almost every year, and even those that should occur […]
The Jones Polynomial is an important invariant of knots with applications in physics, quantum computation and more. In this talk I will introduce a family of generalizations of the Jones […]
Speaker: Puttipong Pongtanapaisan (Pitzer) Title: Introduction to Quantum Invariants of 3-Manifolds Abstract: The previous speakers showed us how to distinguish knots and links using techniques involving quantum groups. I will start by explaining briefly why 3-manifolds, much like the universe we live in, can actually be represented as knots and links with numbers assigned to […]
Abstract: In this talk, we study the optimal timing of selling a risky asset within the distribution builder framework. Instead of specifying a utility function or risk-aversion parameter, this approach allows an investor to express preferences directly through a desired distribution of the selling price. Mathematically, the problem is closely related to the Skorokhod embedding […]
CANCELLED: We showcase Binary Quadratic Forms. Presented by Ethan Schlegel. Link: https://mathweb.ucsd.edu/~apollack/9_305S_course_notes_binary_quadratic_forms.pdf For questions about the event, please contact your NTLS Organizers: Maxwell Kooiker (Maxwell.Kooiker@cgu.edu) or Prof. Edray Goins (Edray.Goins@pomona.edu)
A classical principle in algebraic geometry is that a general hyperplane section of a variety should have singularities no worse than those of the variety itself. Over the complex numbers, […]
Speaker: Jim Hoste (Pitzer) Title: Enumerating 2-bridge knots Abstract: A new proof of an old theorem. This is joint work with Patrick D. Shanahan (Loyola Marymount University). _______ We especially welcome all undergraduates and graduate students to attend topology seminar! Room: Roberts South 103
Abstract: Rings containing a finite field mathbb{F}_p (such as the ring of polynomials with coefficients in mathbb{F}_p) admit a map called the Frobenius homomorphism which sends every element to its p-th power. This operation encodes delicate information about the geometry of the zero sets of polynomial equations in prime characteristic, such as whether they are […]
We showcase A Simple Proof of the Four-Squares Theorem. Presented by Adelia Poyarkov. Link: https://www.jstor.org/stable/2320997. For questions about the event, please contact your NTLS Organizers: Maxwell Kooiker (Maxwell.Kooiker@cgu.edu) or Prof. […]
