Geometry & Topology Courses and Certifications

Institute for Advanced Study

Seminar in Analysis and Geometry

Explore advanced topics in analysis and geometry through expert seminars covering fluid dynamics, differential equations, manifold theory, and geometric structures.

• YouTube
• 23 hours 18 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Workshop on the H-Principle and Beyond

Explore advanced mathematical concepts through expert lectures on h-principle theory, differential geometry, fluid dynamics, and symplectic structures in this comprehensive workshop.

• YouTube
• 19 hours 32 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Workshop on Topology - Identifying Order in Complex Systems

Explore advanced topological methods for analyzing complex systems, from DNA recombination to protein folding, using persistent homology and geometric approaches.

• YouTube
• 15 hours 48 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Virtual Workshop on Recent Developments in Geometric Representation Theory

Explore cutting-edge research in geometric representation theory through expert lectures on quantum groups, perverse sheaves, and algebraic structures.

• YouTube
• 19 hours 37 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Symplectic Dynamics and Geometry Seminar

Explore advanced topics in symplectic geometry through expert lectures on Jordan loops, sub-Riemannian geometry, contact topology, and Floer cohomology from leading researchers.

• YouTube
• 11 hours 17 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Combinatorics and Arithmetic for Physics - Special Days Tenth Anniversary Edition

Explore discrete mathematics and number theory applications in theoretical physics through combinatorial structures, Hopf algebras, and computational methods.

• YouTube
• 19 hours 22 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Combinatorics and Arithmetic for Physics - Special Days

Explore advanced discrete mathematics and number theory applications in theoretical physics through expert lectures on combinatorial structures, algebraic geometry, and computational methods.

• YouTube
• 16 hours 14 minutes
• Self-Paced
• Free Video

Fields Institute

Optimal Transportation, Geometry and Dynamics

Explore advanced mathematical theory connecting optimal transport problems with geometric structures and dynamical systems through 24 comprehensive lectures from Fields Institute.

• YouTube
• 1 day 9 hours 39 minutes
• Self-Paced
• Free Video

Fields Institute

Symplectic Geometry

Master symplectic manifolds, Darboux theorem, Hamiltonian mechanics, moment maps, and advanced topics like toric varieties, quantization, and mirror symmetry in this comprehensive mathematical framework.

• YouTube
• 1 day 11 hours 57 minutes
• Self-Paced
• Free Video

Fields Institute

Geometric Constraint Systems

Explore rigidity theory, tropical geometry, matrix completion, and graphical models through comprehensive lectures on geometric constraint systems and their applications in data science.

• YouTube
• 20 hours 48 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Dualities in Topology and Algebra 2023

Explore advanced mathematical concepts connecting topology and algebra through expert lectures on chromatic homotopy theory, Grothendieck duality, and stratification theorems.

• YouTube
• 1 day 15 hours 59 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Topological Complexity Seminar - Applied Algebraic Topology Network

Explore advanced mathematical concepts in topological complexity through expert seminars covering motion planning, manifold theory, and algebraic topology applications.

• YouTube
• 1 day 17 hours 29 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Vietoris-Rips Complexes and Applied Algebraic Topology Seminar

Explore advanced topics in Vietoris-Rips complexes, persistent homology, metric geometry, and their applications in applied algebraic topology through expert lectures.

• YouTube
• 1 day 16 hours 18 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Applied Algebraic Topology Methods, Computation, and Science - ATMCS/AATRN 2020

Explore cutting-edge research in applied algebraic topology through expert presentations on persistence diagrams, homology, and computational methods for data analysis.

• YouTube
• 17 hours 43 minutes
• Self-Paced
• Free Video

North Carolina School of Science and Mathematics

Introduction to Exponential Functions, Polynomials, and Geometry - Math 1

Explore exponential functions, polynomials, quadratic equations, and geometric concepts through inquiry-based learning with practical applications and visual demonstrations.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video