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A Group-Theoretic Ax-Katz Theorem (Pete L. Clark, University of Georgia)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

Title: A Group-Theoretic Ax-Katz Theorem Speaker: Pete L. Clark, University of Georgia Abstract: The Chevalley-Warning Theorem is a result from 1935 asserting that the number of solutions to a low degree polynomial system over a finite field is divisible by the characteristic of the field.  It is an important result -- it includes a conjecture […]

GEMS March 2nd Session

Harvey Mudd College at the Shanahan Teaching and Learning Center 301 Platt Blvd., Claremont, CA, United States

Gabe Chandler (Pomona College)

Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States

Title: Graphical Anomaly Detection for High Dimensional and Object Data Abstract: Anomaly detection is an important task in data analysis, though an agreed upon definition of what constitutes an outlier does not exist.  Accordingly, a graphical tool that can highlight interesting observations in a data set that the scientist can then investigate with domain specific […]

Homological mirror symmetry, curve counting, and a classical example: 27 lines on a nonsingular cubic surface (Reggie Anderson, CMC)

Estella 2099

Though mirror symmetry requires much technical background, it gained traction in the mathematical community when physicists Candelas-de la Ossa-Green-Parkes discovered enumerative invariants counting the number of rational degree d curves inside of certain space called a ``quintic threefold." This answered longstanding problems in enumerative geometry from antiquity. In particular, the number of rational degree d=1 […]

Claremont Topology Seminar: Adam Yassine (Pomona College)

Estella 2099

We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Adam Yassine (Pomona College) Title: A Structural Approach to Classical Mechanics Abstract: A structural approach to the study of classical mechanics clarifies the physical heuristics that physicists use in constructing mathematical models of classical mechanical systems. The focus of our current program is to develop […]

Teaching Equity-minded Active Mathematics: A model for Instructional Change (Amelia Stone-Johnstone, CSU Fullerton)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

Title: Teaching Equity-minded Active Mathematics: A model for Instructional Change Speaker: ​Amelia Stone-Johnstone, Department of Mathematics, California State University, Fullerton Abstract: Active learning has been championed as a mechanism for greater student learning and participation in STEM. However, recent studies have demonstrated how active learning without an explicit equity focus may harm students from historically […]

Fernando A. Gallego (UNAL)

This event is virtual. Zoom link: https://pomonacollege.zoom.us/j/8536370189 Meeting ID: 853 637 0189 Claremont, CA, United States

TITLE:   Boundary Controllability Perspectives of a Coupled System of Two Korteweg-de Vries Equations ABSTRACT: We study the exact boundary controllability of a nonlinear coupled system of two Korteweg-de Vries equations on a bounded interval. The model describes the interactions of two weakly nonlinear gravity waves in a stratified fluid. Due to the nature of […]

Almost-prime times in horospherical flows (Taylor McAdam, Pomona)

Estella 2099

There is a rich connection between homogeneous dynamics and number theory.  Often in such applications it is desirable for dynamical results to be effective (i.e. the rates of convergence for dynamical phenomena are known).  In the first part of this talk, I will provide the necessary background and relevant history to state an effective equidistribution […]

*Cancelled* Claremont Topology Seminar: Iris Yoon (Wesleyan College)

Estella 2099

This talk has been cancelled. We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Iris Yoon (Wesleyan College) Title: A generalized Dowker complex for multi-way Relations Abstract: Given a relation between two sets X and Y, one can construct two simplicial complexes, one having X as its vertex set and the other […]

Claremont Topology Seminar: Qing Zhang (UC Santa Barbara)

Estella 2099

We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Qing Zhang (UC Santa Barbara) Title: Super-modular categories from near-group centers Abstract: A super-modular category is a unitary pre-modular category with Müger center equivalent to the symmetric unitary category of super-vector spaces. The modular data for a super-modular category gives a projective representation […]

A Survey of Diophantine Equations (Edray Goins, Pomona College)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

Title: A Survey of Diophantine Equations Speaker: ​Edray Herber Goins, Professor of Mathematics and Statistics, Pomona College Abstract: There are many beautiful identities involving positive integers. For example, Pythagoras knew $3^2 + 4^2 = 5^2$ while Plato knew $3^3 + 4^3 + 5^3 = 6^3$. Euler discovered $59^4 + 158^4 = 133^4 + 134^4$, and even […]