Mathematics Courses and Certifications

IMSA

Kazhdan-Lusztig Theory and Singular Hodge Theory for Matroids I

Explore the fascinating parallel between Coxeter groups and matroids in combinatorial cohomology, featuring recent research on singular Hodge theory for combinatorial geometries.

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

IMSA

Kazhdan-Lusztig Theory and Singular Hodge Theory for Matroids II

Explore the parallel between Coxeter groups and matroids in combinatorial cohomology, with insights on singular Hodge theory for combinatorial geometries from recent collaborative research.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

QuantumTopology

Informational Content of Finite Type Invariants

Explore finite type invariants in quantum topology, examining their informational content and implications for knot theory and related mathematical fields.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

QuantumTopology

Symmetric Solutions of the Dispersionless 2D Toda Hierarchy, Hurwitz Numbers and C

Explore symmetric solutions of dispersionless 2D Toda hierarchy, Hurwitz numbers, and related concepts in quantum topology with expert Sergey Natanzon.

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

QuantumTopology

Virtual Representation of the Braid Group of Automorphisms and Virtual Links

Virtual representation of braid group automorphisms and links: exploring mathematical concepts and their applications in quantum topology and related fields.

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

Michael Penn

How to Integrate With Respect to Any Function

Master integration techniques for any function, enhancing your calculus skills and problem-solving abilities in mathematics.

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

Michael Penn

Gamma Reflection via Double and Contour Integration

Explore gamma function reflection using double and contour integration techniques, enhancing understanding of complex analysis and special functions in mathematics.

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

Hausdorff Center for Mathematics

On Exotic Hecke Correspondences

Explores construction of exotic Hecke correspondences between mod p-fibers of different Shimura varieties, generalizing Xiao-Zhu's work and allowing non-isomorphic groups at p, leading to exotic Igusa variety isomorphisms.

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

Let's Code Physics

Weirdly Concrete Problem 1 - Exploring XKCD's Unsolved Math Problem

Explore XKCD's unsolved math problem through coding and simulation. Dive into a fascinating mathematical puzzle with practical applications and computational approaches.

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

Let's Code Physics

The Babylonian Spiral - Exploring Chaotic Patterns in Mathematics

Explore the evolution of a simple pattern into a chaotic masterpiece. Learn to create the mesmerizing Babylonian spiral using coding techniques in physics.

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

Society for Industrial and Applied Mathematics

Low Rank Tensor Completion and Its Applications

Explore low rank tensor completion methods using framelet, dictionary coding, deep plug-and-play prior, and more. Gain insights into theoretical and numerical results for solving complex imaging problems.

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

Joint Mathematics Meetings

An Invitation to Periodicity

Explore the concept of periodicity in mathematics, its applications, and significance across various fields with expert insights from Gaston Mandata N'Guerekata.

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

Joint Mathematics Meetings

Sunflowers: From Soil to Oil

Explore the mathematical concept of sunflowers, from foundational principles to advanced applications, in this engaging lecture by Anup Rao at the Joint Mathematics Meetings.

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

Society for Industrial and Applied Mathematics

Can You Hear the Will of the People in the Vote? Assessing Fairness in Redistricting - 2021 I. E. Block Community Lecture

Exploring gerrymandering, fairness in redistricting, and the impact of geopolitical geometry on electoral representation through Monte Carlo sampling and mathematical analysis.

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

Joint Mathematics Meetings

Navigating Collaboration in Mathematics Research

Discover strategies for effective mathematical collaboration, enhancing research productivity and fostering meaningful professional relationships in academia.

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