Mathematics
Comprehensive screencasts on advanced mathematical concepts, including equations, matrices, and regression analysis, with practical applications using Excel and POLYMATH software.
Applications of Homotopy Continuation in Science and Engineering
Explore homotopy continuation in numerical algebraic geometry and its applications in chemistry, mechanical engineering, and biological modeling. Learn about tracking solutions to parameterized nonlinear equations.
The Calderon Problem: 40 Years Later - Seminar in the Analysis and Methods of PDE
Explore Calderon's inverse problem, its applications in medical imaging and geophysics, recent developments, and open questions with expert Gunther Uhlmann in this insightful seminar.
Solving Overparametrized Systems of Nonlinear Equations
Explore overparametrized nonlinear equation systems, their solutions, and implications for neural network optimization landscapes with Stanford's Andrea Montanari at IPAM's EnCORE Workshop.
New Algorithms: Numerical Solution of Large Systems of Nonlinear Equations Using Monodromy
Explore a novel algorithm using monodromy to solve large systems of analytic nonlinear equations, developed during a Wolfram internship.
Exponential Asymptotic of Solutions of Nonlinear Cauchy-Riemann-Beltrami Type Equations
Explore exponential asymptotic solutions of nonlinear Cauchy-Riemann-Beltrami equations in complex analysis, featuring joint research on Beltrami equations in complex plane domains.
Solving Nonlinear Equations with Numerical Derivatives
Learn to solve nonlinear equations using numerical derivatives, enhancing your mathematical problem-solving skills and computational techniques.
Predicting New Physics for Gravitational Wave Astronomy - William East
Exploring new physics in gravitational wave astronomy, focusing on precision modeling, theoretical challenges, and emerging techniques for interpreting signals and searching for novel phenomena.
Daniel Faraco- Convex Integration and Mixing Flows
Explore convex integration and mixing flows in hydrodynamics, focusing on the Muskat problem and alternative approaches to understanding fluid behavior in unstable regimes.
How to Deal with Non-Linear Integral Equations with Singular Kernels
Explore techniques for solving non-linear integral equations with singular kernels in condensed matter physics and quantum field theory.
Stochastic Partial Differential Equations and Regularity Structures - Award Lecture
Explore groundbreaking work on stochastic partial differential equations, revolutionizing mathematical modeling of random physical systems with the theory of regularity structures.