Diophantine Equations Courses and Certifications

Equations in Number Theory

Take a deep dive into one of the most fundamental techniques in number theory: solving Diophantine (integer) equations.

• Brilliant
• On-Demand
• Paid Course

Hausdorff Center for Mathematics

Thermodynamical Formalism and Markoff-Hurwitz Equations

Explore connections between Diophantine geometry and fractals through Markoff-Hurwitz equations, transfer operators, and thermodynamical formalism. Discover links to various mathematical areas.

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

UC San Diego;  Higher School of Economics

Number Theory and Cryptography

586 ratings at Coursera

Explore number theory's evolution from "useless" to essential in modern cryptography. Learn modular arithmetic, Euclid's algorithm, and RSA encryption for secure digital communication.

• Coursera
• 16 hours 51 minutes
• On-Demand
• Free Online Course (Audit)

Master Number Theory 2020: The Secrets Of Numbers

267 ratings at Udemy

Learn The Secrets Of The Integers And Prime Numbers And Gain A New Perspective On Mathematics

• Udemy
• 9 hours
• On-Demand
• Paid 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

IIT Bombay;  NPTEL

A Basic Course in Number Theory

Develop foundational knowledge in number theory, covering prime numbers, quadratic reciprocity, binary quadratic forms, and Diophantine equations. Gain skills for advanced study in the field.

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

ICTP Mathematics

AGRA IV - Diophantine Equations with Few Solutions - Lecture 2

Exploración avanzada de ecuaciones diofantinas con soluciones limitadas, enfocándose en técnicas analíticas y algebraicas para abordar problemas complejos en teoría de números.

• YouTube
• 58 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

Joint Mathematics Meetings

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.

• YouTube
• 53 minutes
• On-Demand
• Conference Talk

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

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

Fields Institute

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.

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

Fields Institute

The ABC Conjecture in Number Theory

Explore the ABC conjecture with insights from Prof. M. Ram Murty, presented by Hector Pasten Vasquez. Gain a deeper understanding of this fundamental mathematical concept.

• YouTube
• 31 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)

Number Theory over Function Fields - Lecture 6

Explorez les analogies entre théorie des nombres et polynômes sur corps finis, avec des applications en géométrie algébrique et théorie de Langlands.

• YouTube
• 1 hour 59 minutes
• On-Demand
• Free Video