An organizational meeting for this semester's "Number Theory Learning Seminar will take place on Thursday September 3 at 4:00 PM in CGU’s Burkle Hall, Room 24. The Seminar is geared […]
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This GEMS session will be facilitated by Professor Qidi Peng and William Wu from Claremont Graduate University. Title: How to create a die if you only have a coin? Abstract: Imagine you […] |
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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 these extensions (including the degree , ramification, and associated Galois representations) are surprisingly different in the cases that $K$ is a number field versus a […] |
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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 […] |
1 event,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. […] |
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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 estimators that consider each treatment arm in isolation. This approach may be inefficient, because it fails to borrow shared information across the treatment arms. We […] |
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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 […] |
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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 […] |
1 event,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 […] |
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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 […] |
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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 […]
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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 […] |
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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 […] |
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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 […] |
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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 […]
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Speaker: Helen Wong (CMC) Title: Introduction to the colored Jones polynomial Abstract: This is a learning seminar. We will present an accessible definition of the colored Jones polynomial for knots […] |
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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 […] |
1 event,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 […] |
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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 […] |