We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Puttipong Pongtanapaisan (Arizona State University) Title: Building Knotted Objects Efficiently Abstract: Knotted objects can be constructed by gluing together standard pieces called handles. Understanding the minimum number of handles required for construction and their sequential attachment provides valuable insights into the complexity of entanglement. […]
Argue Auditorium, Pomona College
610 N. College Ave., Claremont, CA, United States
Title: Evolution of an Intriguing Recreational Math Problem Speaker: Shawn McMurran, California State University San Bernardino Abstract: Besides being popular and entertaining, recreational mathematics problems are often of historical interest. In this presentation we will highlight the origin and evolution of one such simply stated yet deep problem. The problem emerged during the eighteenth century […]
Argue Auditorium, Pomona College
610 N. College Ave., Claremont, CA, United States
The 14th Symposium for Women and Gender Minorities in Mathematics in Southern California WiMSoCal returns to SoCal after a four-year-hiatus due to pandemic. The symposium will provide an opportunity for women and gender-nonconforming individuals in mathematics in the Southern California area to get to know each other on a personal as well as professional level. […]
Emmy Noether Room, Estella 1021, Pomona College,
610 N. College Ave., Claremont, CA, United States
This is the continuation of the semester's joint seminar with the Universidad Nacional de Colombia-Manizales. Title: Enumerating linearity regions of max-pooling layers in convolutional neural networks Abstract: Convolutional neural networks (CNN's) are central tools in the application of machine learning to text, audio and image processing. Their success stems from the ability of these networks to […]
For a finite field F_q, a subset of F_q^N is a Kakeya set if it contains a line in every direction (i.e., a coset of every one-dimensional linear subspace). The finite field Kakeya problem is to determine the minimal size K(N,q) of a Kakeya set in F_q^N. This problem was posed by Wolff in 1999 as […]
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 […]
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 […]
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 […]
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 […]
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 […]
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