Theoretical Mathematics Courses and Certifications

Michael Penn

What Mathematicians Mean When We Use Super as a Prefix

Explore the mathematical meaning of "super" as a prefix, delving into its applications and significance in various mathematical contexts.

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

ICTP Mathematics

An Introduction to Higher Teichmuller Theory - D. Canary

Explore higher Teichmuller Theory, delving into advanced mathematical concepts and their applications in geometry and topology. Gain insights from expert D. Canary in this comprehensive lecture.

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

International Mathematical Union

Formation of Singularities in Nonlinear Dispersive PDEs

Explore the formation of singularities in nonlinear dispersive partial differential equations with mathematician Galina Perelman in this insightful lecture on advanced mathematical concepts.

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

International Centre for Theoretical Sciences

Conics in a Second by Bernd Sturmfels

Explore conics through historical and modern perspectives, from pentagon construction to applied algebraic geometry, with insights on Newton's method and enumerative geometry.

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

International Centre for Theoretical Sciences

The Grothendieck Inequality by Gadadhar Misra

Explore the Grothendieck inequality, its consequences, and related concepts in mathematics. Learn about max cut problems, cut norms, and proofs, including Kirvine's approach to this fundamental inequality.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Fields Institute

Irregular Triads in 3-Uniform Hypergraphs

Explore irregular triads in 3-uniform hypergraphs, delving into advanced concepts in model theory and combinatorics with Caroline Terry from Ohio State University.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Fields Institute

Cyclic Cohomology and Higher Invariants of Elliptic Differential Operators

Explore advanced mathematical concepts in cyclic cohomology and their applications to elliptic differential operators, focusing on higher invariants and recent developments.

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

ICTP Mathematics

Symbolic Powers of Ideals - Part 3

Explore advanced concepts in tight closure theory, focusing on symbolic powers of ideals and their applications in algebraic geometry and commutative algebra.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

ICTP Mathematics

Briancon-Skoda Theorems - Part 2

Explore advanced concepts in tight closure theory, focusing on Briancon-Skoda theorems and their applications in algebraic geometry and commutative algebra.

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

ICTP Mathematics

Briancon-Skoda Theorems - Part 1

Explore the Briancon-Skoda Theorems in this graduate-level mathematics lecture, delving into tight closure of ideals and their applications in algebraic geometry.

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

ICTP Mathematics

Measure and Smooth Rigidity of Lattice Actions in Low Dimensions - Federico Rodriguez-Hertz

Explore measure and smooth rigidity of lattice actions in low dimensions with Federico Rodriguez-Hertz, delving into advanced mathematical concepts and their applications.

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

Hausdorff Center for Mathematics

Roger Heath-Brown: The Determinant Method I

Explore rational points on algebraic varieties, their counting methods, and related phenomena in this advanced mathematics lecture by renowned number theorist Roger Heath-Brown.

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

Hausdorff Center for Mathematics

Jason Miller- Conformal Removability of SLEκ for κ∈[4,8)

Explores conformal removability of SLEκ curves, focusing on κ=4. Presents new conditions for conformal removability and discusses applications to SLEκ for κ∈(4,8). No prior SLE or LQG knowledge required.

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

Hausdorff Center for Mathematics

The Zappa-Szép Product of a Fell Bundle and a Groupoid

Explore the mathematical concept of Zappa-Szép products, focusing on their application to Fell bundles and groupoids. Gain insights into advanced algebraic structures and their properties.

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

Hausdorff Center for Mathematics

Crossed Products as Compact Quantum Metric Spaces

Explore quantum metric spaces through crossed products, delving into advanced mathematical concepts and their applications in quantum theory.

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