Pointwise Ergodic Theorems for Non-Conventional Polynomial Averages by Benjamin Krause
Explore advanced ergodic theory with a focus on non-conventional polynomial averages, delving into pointwise convergence theorems and their applications in harmonic analysis.
Discussion of Montgomery's Large Value Problem by Larry Guth
Exploration of Montgomery's Large Value Problem, delving into advanced harmonic analysis concepts and recent developments in the field of mathematics.
Quadrature Rules on Manifolds - Partitions by Giacomo Gigante
Explore advanced quadrature techniques for manifolds, focusing on partition methods. Gain insights into cutting-edge harmonic analysis research and its applications in mathematical problem-solving.
Conjectural Asymptotics of Prime Orders of Points on Elliptic Curves Over Number
Explores conjectural asymptotics of prime orders of points on elliptic curves over number fields, advancing understanding in arithmetic geometry and modular curve theory.
Automorphic Lefschetz Properties and L-Values
Explore automorphic Lefschetz properties and L-values in arithmetic geometry with expert Arvind Nair. Gain insights into advanced concepts and their applications in number theory.
On the Harris-Venkatesh Conjecture by Loic Merel
Exploration of the Harris-Venkatesh conjecture in arithmetic geometry, focusing on rational points on modular curves and their implications for elliptic curves and modular forms.
P-adic Adelic Metrics, P-adic Heights, and Rational Points on Curves by Padma Srinivasan
Explore P-adic adelic metrics, P-adic heights, and their applications in studying rational points on curves with expert Padma Srinivasan in this advanced mathematics lecture.
Intersection Theory and the Mandelbrot Set
Explores the Mandelbrot set's connections to arithmetic intersection theory, revealing new insights into this complex mathematical object. Joint work with Myrto Mavraki.
How Much Math Do You Need to Know to Solve an Initial Value Problem - SIAM PDE Seminar
Explore mathematical techniques for solving nonlinear Schrödinger equations, from harmonic analysis to dynamical systems, focusing on long-time dynamics and energy transfer in initial value problems.
A 2020 View of Fermat's Last Theorem
Explore the historical journey and modern perspectives on Fermat's Last Theorem with renowned mathematician Kenneth A. Ribet in this insightful lecture from the 2020 Joint Mathematics Meetings.
Complex Multiplication: Past, Present, Future - Lecture 1
Explore the historical and contemporary aspects of complex multiplication in mathematics, with insights into its future applications and developments.
Complex Multiplication: Past, Present, Future - Lecture 3
Explore the intricacies of complex multiplication in mathematics, delving into its historical context, current applications, and future prospects in this advanced lecture by Benedict Gross.
Dynamics of Systems with Low Complexity
Explore low complexity dynamical systems, their patterns, and mathematical properties in this engaging lecture by renowned mathematician Bryna Kra at the Joint Mathematics Meetings.
Complex Multiplication: Past, Present, Future - Lecture 2
Explore the evolution and future prospects of complex multiplication in mathematics with Benedict Gross in this insightful lecture from the Joint Mathematics Meetings.
Complex Multiplication: Past, Present, Future - Lecture 1
Explore the history and foundations of complex multiplication in this engaging lecture by renowned mathematician Benedict Gross, delving into its past developments and current significance.
The Langlands Program
Explore the Langlands Program, a grand unified theory of mathematics, with Professor Edward Frenkel. Discover connections between different mathematical fields and their profound implications.
Finding the 2319th Digit of 1000 Factorial
Explore a fascinating mathematical problem: determining a specific digit in the factorial of 1000, using advanced number theory and logarithmic techniques.
Amazing Pi Formula - Prime Numbers and Multiples of 4
Explore a fascinating pi formula involving prime numbers and multiples of 4. Learn step-by-step proofs, from geometric series to the Leibniz Formula, culminating in a remarkable relationship between pi and primes.
Prime Reciprocal Series - Oxford Maths Interview Question
Explore the divergence of prime reciprocal sums using advanced mathematical concepts in this Oxford University admissions interview question, featuring collaboration between mathematicians.
The Sharp Threshold for Making Squares
Explores the threshold for finding perfect square products in random integer sequences, combining number theory and probabilistic combinatorics to prove a conjecture on this sharp threshold.
The Story of Mathematical Proof - From Ancient Greece to Modern Logic
Explore the evolution of mathematical proof across number theory, geometry, topology, and logic, delving into the fascinating gap between natural and real numbers.