Diophantine Equations Courses and Certifications

Algebraic Number Theory

Master advanced number theory concepts, from Diophantine equations to field extensions, exploring algebraic structures, class groups, and L-functions while building expertise in computational methods and proofs.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Number Theory

Explore fundamental concepts in number theory, including perfect numbers, prime theorems, and Diophantine equations, to deepen your understanding of mathematical relationships.

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

ICTP Mathematics

AGRA IV - Diophantine Equations with Few Solutions - Lecture 5

Exploración avanzada de ecuaciones diofantinas con énfasis en casos con soluciones limitadas, presentada por el experto Hector Pasten de la PUC, Chile.

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

Michael Penn

Tweaking the Fermat Last Theorem Equation

Explore variations of Fermat's Last Theorem equation, examining mathematical implications and potential insights into number theory and algebraic relationships.

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

MindYourDecisions

For Which Values of n Can You Find an Integer Solution?

Explore a mathematical problem from the 2024 Putnam Competition examining which values of n allow integer solutions, with step-by-step analysis of this intriguing number theory question.

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

Numberphile

A Simple Equation That Behaves Weirdly - Vieta Jumping and Root Flipping

Explore how a deceptively simple equation reveals complex mathematical behavior through Vieta jumping and root flipping techniques in this engaging mathematical investigation.

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

Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields

Explore the deep analogy between integers and polynomials over finite fields, connecting number theory to geometry, topology, and Langlands theory through modern techniques.

• YouTube
• 12 hours 8 minutes
• On-Demand
• Free Video

Institut Henri Poincaré

Reinventing Rational Points

Explore advanced techniques in arithmetic geometry, from Brauer-Manin obstructions to counting rational points on algebraic varieties through analytic and geometric methods.

• YouTube
• 2 days 3 minutes
• On-Demand
• Free Video

Michael Penn

Solving a Higher Degree Diophantine Equation

Explore techniques for solving complex Diophantine equations of higher degrees, enhancing problem-solving skills in number theory and algebraic manipulation.

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

Institut des Hautes Etudes Scientifiques (IHES)

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.

• YouTube
• 1 hour 51 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

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.

• YouTube
• 2 hours
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

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.

• YouTube
• 2 hours
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

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.

• YouTube
• 2 hours 4 minutes
• On-Demand
• Free Video

Michael Penn

Solving a Mixed Diophantine Equation

Explore a fascinating mixed Diophantine equation, unraveling its complexities and discovering elegant solutions through step-by-step mathematical reasoning.

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

Wolfram

An Overview of Number Theory

Explore number theory fundamentals including factoring, Diophantine problem solving, and primality testing in this comprehensive overview by Lusine Sukiasyan.

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