Classical and Quadratic Chabauty - Lecture 2
Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
Cube Attacks on Non Blackbox Polynomials Based on Division Property
Explore advanced cryptanalysis techniques using division property for cube attacks on non-blackbox polynomials, enhancing understanding of cryptographic vulnerabilities.
Lattice Relations and Hermite Normal Form - Abstract Algebra Math Foundations 224
Explore lattices and integral linear spans of vexels, including the Hermite normal form algorithm for understanding lattice structure and relations between elements in a spanning set.
Linear Spaces and Spans II - MathFoundations 220
Introduction to integral linear spaces as abstract algebraic objects, exploring their applications in mathematics, chemistry, and physics. Foundational concepts for linear algebra using vexel language for concrete examples.
Unique Factorization and Its Difficulties - Data Structures Math Foundations 199
Exploring unique factorization, its challenges with large numbers, and modern factoring techniques. Discusses implications for internet security and computational complexity.
Coding Theory - Advances and Applications
Explore cutting-edge advancements in coding theory and cryptography at this Crypto 2022 session, featuring expert discussions on innovative algorithms and security protocols.
Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 3
Explores advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Builds on previous lectures to deepen understanding of these fundamental objects.
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.
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.
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.
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.
Ranks of Elliptic Curves in Cyclic Sextic Extensions of Q
Explore elliptic curve ranks in cyclic sextic extensions of Q, delving into advanced number theory concepts and their applications in algebraic geometry.
Moments of Families of Elliptic Curves
Explore new developments in higher moment sums of elliptic curve families, their connections to modular forms, and applications to rigid Calabi-Yau threefolds and intermediate Jacobians.
Integer Points on Mordell Curves
Explore integer solutions on Mordell curves, a fascinating topic in number theory. Gain insights into this complex mathematical concept through clear explanations and examples.
Making Enemies with the NSA - Martin Hellman's Cryptography Career - 2015 Turing Award
Turing Award winner Martin Hellman recounts his groundbreaking work in cryptography, confrontation with the NSA, and shift to nuclear risk education, offering insights into secure communication and global peace.
Counting Rational Points on Modular Curves of Genus 0 Over Number Fields by Peter Bruin
Explore techniques for counting rational points on modular curves of genus 0 over number fields, advancing understanding in arithmetic geometry and algebraic number theory.