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 […]
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 […]
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 […]
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 […]
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 […]
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 […]
Let $C$ be a smooth, projective, geometrically integral hyperelliptic curve of genus $g \ge 2$ over a number field $k$. We investigate the structure of the $\mathbb{P}^1$-parameterized density degree set $\delta_{\mathbb{P}^1}(C/k)$ (equivalently, the Lüroth semigroup) for such curves, consisting of degrees arising from morphisms to $\mathbb{P}^1$. Building on foundational frameworks for parameterized points, we provide […]
Speaker: Robert Cass (CMC) Title: TBA Abstract: TBA _______ We especially welcome all undergraduates and graduate students to attend topology seminar! Room: Roberts South 103
The mathematics of democracy, from theory to practice Mathematics has played a largely unseen role in democracy for centuries, influencing everything from how votes are counted to how political boundaries are drawn. Today, classical mathematical ideas are finding unexpected new applications, while unprecedented computational resources are opening new avenues for analyzing and improving democratic systems. […]
