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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 […] |
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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 […] |
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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 […] |
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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 […] |
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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 […]
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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 […] |
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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 […] |
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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 […]
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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 […] |
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Title: Can a function tell us how immune cells kill? Speaker: Prof. Ami Radunskaya (Pomona College, Claremont CA) Abstract: The immune system is able to fight cancer by mustering and training an army of effector “killer” cells. Mathematical models of tumor-immune interactions must describe the proliferation, recruiting and killing rates of immune cells. Earlier work surprisingly showed that […] |
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How many sublattices of Zn have index at most X? If we choose such a lattice L at random, what is the probability that Zn/L is cyclic? What is the probability that its […]
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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 […] |
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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 […] |
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Title: Developments in Noncommutative Fractal Geometry Abstract: As a noncommutative fractal geometer, I look for new expressions of the geometry of a fractal through the lens of noncommutative geometry. At the quantum scale, the wave function of a particle, but not its path in space, can be studied. Riemannian methods often rely on smooth paths to encode […] |
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Title: Geometric Optimization Involving Partial Differential Equations and Its Applications Speaker: Professor Chiu-Yen Kao, Claremont McKenna College, Claremont, CA USA Abstract: Optimal geometric design for energy functionals, which depends on solutions to partial […] |
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I will give a brief introduction to well-rounded lattices and to their utility in wireless communications and post-quantum security. We will see how the lattice theta series naturally arises in […]
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We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Jim Hoste (Pitzer College) Title: Variations on the Kauffman Bracket Abstract: Forty years ago, Lou Kauffman formulated his […] |
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For the next CCMS Colloquium on April 3rd Wednesday, we invite all MATH faculty, and students intending to enroll in upper division math courses to attend the Fall 2024 Course […] |
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Title: The Chronicles of Fractal Geometry: Fractal Strings, and Functorial Harps Abstract: In this talk, we explore the colorful analytical world of fractal geometry. We introduce fractal strings in the sense of Lapidus, both intuitively and by way of rigorous constructions. We examine rich illustrations of higher dimensional fractals and p-adic fractal strings. Then, we […] |
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