Chance to See Life - Expressing the World Through Probability
Exploring mathematical models and probability to interpret the world, blending quantitative analysis with human nature insights for a unique perspective on life and investment.
Deep Solver for Jumps in Backward Stochastic Differential Equations - Lecture
Innovative extension of deep solver for FBSDEs with jumps, using neural networks to tackle high-dimensional problems in option pricing and counterparty credit risk.
Rational Points on Modular Curves by Jan Vonk
Explore advanced techniques for studying rational points on modular curves, focusing on theoretical and computational aspects in arithmetic geometry.
Interview with Noga Alon - Mathematician with 600 Publications
Interview with mathematician Noga Alon discussing his prolific career, interdisciplinary research, and notable contributions to mathematics, including necklace splitting and applications of the Borsuk-Ulam Theorem.
Essential Matrix Algebra for Neural Networks
Learn essential matrix algebra for neural networks, covering linear transformations, matrix operations, and their application in PyTorch and Attention mechanisms.
Ribet's Lemma in Residually Indistinguishable Case by Mahesh Kakde
Exploration of Ribet's Lemma in the context of residually indistinguishable cases, delving into advanced concepts in arithmetic geometry and modular curves theory.
Iwasawa Theory for Rankin-Selberg L-Function at an Eisenstein Prime
Explores Iwasawa theory for Rankin-Selberg L-functions at Eisenstein primes, delving into advanced arithmetic geometry concepts and their applications in number theory.
Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 1
Explore modular forms, elliptic curves, and modular curves in this advanced lecture. Gain insights into arithmetic geometry and the study of rational points on varieties.
Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 2
Explore advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Gain insights into rational points and their significance in number theory.
Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 4
Explore advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Gain insights from expert Eknath Ghate in this in-depth lecture.
Boundedness of SLC Degenerations of Polarized Log Calabi-Yau Pairs
Explore boundedness of slc degenerations in polarized log Calabi-Yau pairs, focusing on families over smooth curves with ample divisors and relatively trivial log canonical divisors.
Mapping Classes and Moduli Spaces of K3 Manifolds
Explores mapping classes of K3 manifolds using moduli spaces, focusing on unipotent actions on cohomology and K3 surfaces fibered into genus one curves.
Instance Optimal Iterative Methods for Matrix Function Approximation
Explores instance-optimality of Lanczos method for matrix function approximation, extending conjugate gradient analysis to rational and other function classes. Discusses recent progress and open questions.
Fast Algorithms for Regression Problems
Explore efficient algorithms for p-norm regression, overcoming challenges in large-scale data analysis and optimization with recent breakthroughs and generalizable techniques.
Topology of Moduli Spaces of Topological Theories and Applications to Codes
Explore moduli spaces of topological theories, their homotopy types, and applications to Hastings-Haah floquet codes in quantum error correction and quantum gravity.
Nash Social Welfare and A Tale of Mathematical Programs
Explore determinant maximization, its applications in machine learning and game theory, and techniques like matroid intersection methods for solving this abstract problem.
Rational Points on Modular Curves - Lecture 1
Explore advanced concepts in arithmetic geometry, focusing on rational points on modular curves. Gain insights into theoretical and computational aspects of this fascinating field of mathematics.
Classical and Quadratic Chabauty - Lecture 1
Explore advanced techniques for studying rational points on modular curves, focusing on classical and quadratic Chabauty methods in arithmetic geometry.
Local Graph Clustering with Noisy Labels
Explore techniques for local graph clustering with noisy labels, focusing on applications in complex networks and data analysis.
Beautiful Formalizations and Proofs in Mechanized Mathematics
Explore the aesthetics of mathematical formalization, examining how beauty in mathematics adapts to mechanization and automation, with illustrative examples of elegant definitions and proofs.
Some Research Problems in Number Theory
Explore intriguing research problems in number theory with Ram Murty, delving into advanced mathematical concepts and unsolved questions in this fascinating field.