Mathematics Courses and Certifications

ICTP Mathematics

F-Rational Rings and Rational Singularities - Part 1

Explore F-rational rings and rational singularities in this advanced mathematics lecture, delving into tight closure theory and its applications in algebraic geometry.

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

ICTP Mathematics

The Mathematical Contributions of Craig Huneke - A Sampler

Explore the significant mathematical contributions of Craig Huneke, focusing on his influential work in commutative algebra and algebraic geometry.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

ICTP Mathematics

Singularities and Hilbert Functions

Explore the mathematical concepts of singularities and Hilbert functions, delving into their properties, applications, and interconnections in algebraic geometry and commutative algebra.

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

ICTP Mathematics

On a Generalization of Two Results of Happel to Commutative Rings

Explore generalizations of Happel's results in commutative ring theory, expanding mathematical understanding and applications in algebraic structures.

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

ICTP Mathematics

Analytic Spread of Filtrations

Explore the mathematical concept of analytic spread in filtrations, delving into its properties and applications in algebraic geometry and commutative algebra.

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

Fields Institute

Panel Discussion - 2022 Fields Medal Symposium

Experts discuss mathematical advancements and their implications in this engaging panel, exploring cutting-edge research and its impact on various fields of study.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

Fields Institute

Tacit Knowledge and Partial Automation in Mathematics

Explore the interplay between tacit mathematical knowledge and automation, examining how unspoken expertise influences computational advancements in mathematical research and practice.

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

Fields Institute

How I Became Seduced by Univalent Foundations

Explore the captivating world of univalent foundations in mathematics, delving into its allure and significance through the personal journey of a renowned mathematician.

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

Fields Institute

Opening Remarks - 2022 Fields Medal Symposium

Renowned mathematicians discuss the significance of the Fields Medal and its impact on mathematical research, highlighting recent advancements and future directions in the field.

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

Fields Institute

Solving Basis Problems by Expanding Mathematical Structures

Explore advanced mathematical concepts and structures with renowned mathematician Stevo Todorčević, focusing on innovative approaches to solving basis problems through expansion techniques.

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

Fields Institute

What the Fall of the Berlin Wall Taught Me About Hope, Truth, and Virtual Fundamental Classes

Explore connections between the Berlin Wall's fall, hope, truth, and virtual fundamental classes in mathematics through personal insights and academic perspectives.

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

Michael Penn

A Much More Friendly Approach to the Cubic Formula

Explore a user-friendly approach to understanding and applying the cubic formula, making complex mathematical concepts more accessible and manageable.

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

The Royal Institution

How Can Maths Help Us Make Better Predictions? – With Kit Yates

Explore how mathematical concepts like non-linearity, randomness, and exponential growth can improve decision-making and predictions, challenging common biases and enhancing reasoning skills.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Michael Penn

How Archimedes Inspired Me to Approximate Cube Roots

Explore Archimedes' influence on cube root approximation methods, blending historical insights with practical mathematical techniques for modern problem-solving.

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

Math with Mr. J

Dividing Mixed Numbers - A Complete Guide - Math with Mr. J

Comprehensive guide on dividing mixed numbers, covering various scenarios and methods. Includes step-by-step explanations and examples for different types of mixed number division problems.

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