Arithmetic Statistics: Concepts and Applications
Explore arithmetic statistics through an in-depth lecture, covering key concepts and recent developments in this mathematical field.
Integers Expressible as the Sum of Two Rational Cubes
Explore integers expressible as sums of rational cubes with Manjul Bhargava in this advanced mathematical lecture on arithmetic statistics.
Quadratic Twist Families of Elliptic Curves with Unusual 2∞-Selmer Groups
Explore quadratic twist families of elliptic curves with unusual 2∞-Selmer groups in this advanced mathematics talk by Alexander Smith at CIRM's Arithmetic Statistics meeting.
Number Theory over Function Fields - Lecture 6
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 5
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 4
Explore recent progress in number theory using polynomial analogues over finite fields, connecting geometric perspectives to topology, probability, and automorphic forms.
Number Theory over Function Fields - Lecture 3
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 2
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 1
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Point-Counting and the Zilber-Pink Conjecture - Lecture 4
Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
Point-Counting and the Zilber-Pink Conjecture - Lecture 3
Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
Point-Counting and the Zilber-Pink Conjecture - Lecture 2
Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
Point-Counting and the Zilber-Pink Conjecture - Lecture 1
Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
An Equation of Diophantus - Introduction to Torsion and Ranks of Elliptic Curves
Explore Diophantus' equation and its impact on number theory, from ancient times to modern developments in elliptic curves and their torsion and ranks.
Diophantine Equations and Discrete Harmonic Analysis - Part 3
Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
Diophantine Equations and Discrete Harmonic Analysis - Part 4
Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
Diophantine Equations and Discrete Harmonic Analysis - Part 2
Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
Diophantine Equations and Discrete Harmonic Analysis - Part 1
Explore Diophantine equations and discrete harmonic analysis with Ákos Magyar, delving into advanced mathematical concepts and their applications in number theory and analysis.
On Sets of Multiples
Explore sets of multiples in number theory, focusing on their properties and applications in mathematical analysis and dynamical systems.
The Geometric Disposition of Diophantine Equations
Explore the fascinating world of Diophantine equations through geometric perspectives, focusing on rational curves, K3 surfaces, and systems of equations in this engaging mathematical lecture.
On Diophantine Equations Related to Fibonacci Numbers
Explore the mathematical relationships between Diophantine equations and Fibonacci numbers in this advanced number theory presentation from the Brazilian Workshop in Analytic Number Theory.