Given a polynomial defined over a field $K$, you can build an extension of $K_\infty / K$ by adjoining inverse images of some point $\alpha \in K$. The behavior of […]
This poster session is meant to showcase undergraduate and graduate work in the mathematical sciences, broadly interpreted, in a supportive environment. The poster session will take place at Claremont Graduate […]
We showcase Newman's proof of the Prime Number Theorem, published by Don Zagier. Link: https://www.jstor.org/stable/2975232 For questions about the event, please contact your NTLS Organizers: Maxwell Kooiker (Maxwell.Kooiker@cgu.edu) or Prof. […]
In multi-armed trials, adaptive designs are a popular way to increase estimation efficiency or identify optimal treatments. Many recent papers have proposed adaptive methods for minimizing the error of unbiased […]
Kloosterman sums are explicit exponential sums which occur in several contexts in number theory and arithmetic geometry. Bessel functions encode a great deal of representation-theoretic information about finite groups of […]
Abstract: Edge ideals of graphs provide a fertile ground for uncovering combinatorial expressions for algebraic invariants of squarefree monomial ideals. Many algebraic invariants of these edge ideals directly reflect combinatorial properties […]
We showcase Diophantine Representation of the Set of Prime Numbers by Jones, Sato, Wada and Wiens. Link: https://www.jstor.org/stable/2318339 For questions about the event, please contact your NTLS Organizers: Maxwell Kooiker […]
A Belyĭ pair \bigl( S,\, z(w) \bigr) is a compact, connected Riemann surface S together with a rational function z \colon S \to \mathbb{P}^1(\mathbb{C}) which has at most three critical values […]
The unique minimal generating set for a semigroup of lattice points in an n-dimensional polyhedral cone is called its Hilbert basis. In the case when the cone is spanned by […]
Speaker: Sam Nelson (CMC) Title: Permutation Jones Polynomials Abstract: The Jones Polynomial is an important invariant of knots with applications in physics, quantum computation and more. In this talk I […]
Flyer for Kim's talk. Abstract: The logistic map is one of the most famous examples in dynamical systems. Originally introduced as a simple model of population growth, it exhibits a […]
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 […]
