Diophantine Equations Courses and Certifications

Michael Penn

A Nice Exponential Diophantine Equation

Explore the solution methods for an interesting exponential Diophantine equation in this mathematical analysis, learning techniques to solve equations with variables in exponents.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Michael Penn

A Completely Average Number Theory Contest Problem

Dive into solving a typical number theory competition problem with step-by-step mathematical reasoning and problem-solving techniques.

• YouTube
• 19 minutes
• On-Demand
• Free Video

Michael Penn

Solving a Tricky Diophantine Equation - Advanced Number Theory

Delve into solving a challenging Diophantine equation through step-by-step mathematical reasoning and advanced problem-solving techniques.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Michael Penn

How Many Ways Can We Write n as the Sum of Two Squares

Explore the fascinating number theory problem of representing integers as sums of two squares and discover the mathematical patterns behind these representations.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Wrath of Math

Finding the Greatest Common Factor Using Euclid's Algorithm

Master Euclid's algorithm for finding greatest common divisors, from its historical origins to modern applications in solving diophantine equations, with proven computational efficiency methods.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Simons Foundation

Randomness in Number Theory

Explore the fascinating dichotomy between structure and randomness in number theory through revealing examples and unexpected models that highlight central challenges in the field.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Michael Penn

A Simple Trick to Prove an Equation Has No Integer Solutions - Live Example

Discover a clever mathematical technique to prove equations lack integer solutions through a practical demonstration in number theory.

• YouTube
• 11 minutes
• On-Demand
• Free Video

Michael Penn

A Surprisingly Interesting Equation - Mathematical Analysis

Explore a fascinating mathematical equation that reveals unexpected depth and beauty in just 17 minutes of engaging problem-solving.

• YouTube
• 17 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 1

Explore advanced techniques for studying rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its theoretical and practical applications in arithmetic geometry.

• YouTube
• 1 hour 54 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Alexander Volberg: The Probability of Buffon Needle to Land Near Cantor Set

Explore the probability of Buffon's needle landing near Cantor sets, delving into unexpected connections with various mathematical fields and theories.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Fields Institute

Some Reflections on the Work of Udi Hrushovski

Explore David Marker's reflections on Udi Hrushovski's contributions to geometric stability theory, strongly minimal expansions, and differentially closed fields in model theory.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Banach Center

On Sets of Multiples

Explore sets of multiples in number theory, focusing on their properties and applications in mathematical analysis and dynamical systems.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

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.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

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.

• YouTube
• 1 hour 52 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

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.

• YouTube
• 1 hour 49 minutes
• On-Demand
• Free Video