Emmy Noether Room, Estella 1021, Pomona College,
610 N. College Ave., Claremont, CA, United States
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 […]
Estella 1021 (Emmy Noether Room), Pomona College
Claremont, CA, United States
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 polynomial associated to permutations of finite sets and discuss their properties.
Roberts South 103
Roberts Hall South 103, Claremont McKenna College, E 8th St, Claremont, CA, United States
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 […]
Burkle 16, Claremont Graduate University
1021 N. Dartmouth Ave., Claremont, CA, United States
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 […]
Burkle 12, Claremont Graduate University
1021 N. Dartmouth Ave., Claremont, United States
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)
Estella 1021 (Emmy Noether Room), Pomona College
Claremont, CA, United States
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, […]
Roberts South 103
Roberts Hall South 103, Claremont McKenna College, E 8th St, Claremont, CA, United States
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 […]
Burkle 16, Claremont Graduate University
1021 N. Dartmouth Ave., Claremont, CA, United States
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 […]
Burkle 12, Claremont Graduate University
1021 N. Dartmouth Ave., Claremont, United States
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. […]
Burkle 12, Claremont Graduate University
1021 N. Dartmouth Ave., Claremont, United States
We showcase On the Conway-Schneeberger Fifteen-Theorem. Presented by Austin Dong. Link: https://webhomes.maths.ed.ac.uk/~v1ranick/books/dublin.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)
Estella 1021 (Emmy Noether Room), Pomona College
Claremont, CA, United States
This paper examines how initial conditions shape the long-run impact of large temporary shocks on economic geography. Using WWII supply contracts in the United States, we show that temporary spending […]
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