A wide variety of medical imaging methods exist for research and diagnostic procedures on the Central Nervous System (CNS), among them Magnetic Resonance Imaging (MRI) and Optical Imaging. Mathematical modeling and simulation contribute significantly to an improved understanding of image data and the intricate transport, diffusion, and metabolic processes in the brain. This is of […]
Extremal graph theory asks how many edges a graph can have while avoiding a given substructure. We will begin with a brief, accessible introduction to this area, before turning to a natural variant, the bipartite Turan number $(m,n;H)$, which restricts the host graph to be bipartite. This setting is especially natural when $H$ itself is […]
Abstract: Stable Khovanov homology Kh(T(n, \infty)) is an algebraic limit of the Khovanov homology groups of torus links T(n, k) on a fixed number of strands n, when more and more full twists are added as k \to \infty. Stable Khovanov homology is intimately related to the Jones polynomial because it categorifies the Jones-Wenzl projector, […]
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 (Edray.Goins@pomona.edu)
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 […]
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 […]
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)
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. […]
