Theoretical Mathematics Courses and Certifications

ICTP Mathematics

Determinantal Point Processes - II

Exploration of determinantal point processes, covering theorems, Young graphs, Markov chains, and related mathematical concepts with applications in random matrix theory.

• YouTube
• 57 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

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

Hausdorff Center for Mathematics

Landscape Function and Its Relations With Eigenvectors of a Schrödinger Operator

Explore landscape functions and their connections to Schrodinger operator eigenvectors, covering effective potentials, energy computations, and exponential decay in various contexts.

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

International Centre for Theoretical Sciences

Resolution of Singularities and the McKay Correspondence by Yukari Ito

Explore resolution of singularities and McKay correspondence in algebraic geometry with Yukari Ito's insightful lecture, part of the inaugural Asian-Oceanian Women in Mathematics meeting.

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

International Centre for Theoretical Sciences

On the MLC Conjecture by Misha Lyubich

Explore the MLC Conjecture with Misha Lyubich in this interactive lecture, offering insights into complex dynamics and opportunities for audience engagement.

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

Fields Institute

Smooth Cartan Subalgebras and Lie Groupoid Twists

Explore smooth Cartan subalgebras and Lie groupoid twists in this advanced mathematics talk by Anna Duwenig, delving into operator algebras and group actions.

• YouTube
• 50 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

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

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

IMSA

Josef Svoboda, University of Miami - Q-Series Invariants and Abelian Covers

Explore q-series invariants of plumbed 3-manifolds, examining their behavior under abelian covers and deriving formulas for Seifert manifolds, with applications to vanishing results.

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

Krista King

How to Solve Partial Derivatives

Learn to calculate and interpret partial derivatives for multivariable functions, including first-order, second-order, and mixed partial derivatives, with clear explanations and examples.

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

International Mathematical Union

Homotopy Patterns in Group Theory

Explore homotopy patterns in group theory, delving into advanced mathematical concepts and their applications in topology and algebra.

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

International Mathematical Union

Michel van den Bergh- Noncommutative Crepant Resolutions

Explore noncommutative crepant resolutions in algebraic geometry with Michel van den Bergh, delving into advanced mathematical concepts and their applications.

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