Applied Math Seminar

Title: Existence and multiplicity of solutions for a cooperative elliptic system using Morse theory This is joint work with Leandro Recova (Cal Poly Pomona) Abstract

Title: Tropical Linear Series Abstract: In this talk I'll attempt to give a friendly and example-driven introduction to the theory of linear series on tropical curves. While in some respects mirroring […]

Join us for the first talk in the joint seminar with CCMS Applied Math and the Universidad Nacional de Colombia Title Serre Conjecture. Geometric interpretation of the Quillen-Suslin Theorem. Abstract: The Quillen-Suslin theorem asserts that over the polynomial ring with coefficients in a field K, every projective module is free. Despite the algebraic nature of […]

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 […]

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 […]

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 […]

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 […]

Title: On Nonlinear Schrödinger Type Equations: Wave Modulation and Mathematical Analysis Abstract: The nonlinear Schrödinger (NLS) equation describes the evolution of slowly varying packets of quasi-monochromatic waves in weakly nonlinear […]

Title: The fractional p-Laplacian operator. Motivation for its definition and related boundary value problems Abstract: Last decades, nonlocal operators, as the fractional Laplacian, have gained to much attention due to its applications to several physical Phenomena. In this talk we aim to motivate the definition of the fractional laplacian operator through a simple but quite […]

Title: Controlling the unmanageable: insight into control methods for biological systems Abstract: When formulating a model for a biological system, often we want to use the model to understand the implications of management options and how to optimize the implementation. There are various methods for implementing management through control theory, ranging from basic, optimal control, […]