Enumerative Geometry Courses and Certifications

Stony Brook Mathematics

The Quantum Connection and Its Discontents

Explore the quantum connection from enumerative geometry, its geometric importance, and recent progress in understanding this fundamental differential equation with Paul Seidel.

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

Institut Henri Poincaré

Combinatorics and Interactions - Asymptotic Representation Theory, Random Maps, and Enumerative Geometry

Explore advanced combinatorics through asymptotic representation theory, random maps, dimer models, and enumerative geometry in this comprehensive research trimester program.

• YouTube
• 3 days 8 hours 29 minutes
• On-Demand
• Free Video

ICTP Mathematics

Moduli Spaces, Mirror Symmetry, and Enumerative Geometry

Explore advanced algebraic geometry through moduli spaces, mirror symmetry, and enumerative geometry with leading experts from top institutions worldwide.

• YouTube
• 1 day 9 hours 46 minutes
• On-Demand
• Free Video

IMSA

Enumerative Geometry and the Quantum Torus

Explore enumerative geometry through tropical curves, pseudotropical curves, and their connection to Lie algebras and quantum torus. Discover innovative approaches to classical counting problems in algebraic geometry.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Tropical Contributions to Enumerative Geometry of Target Dimension One - Lecture 3

Explore tropical geometry's impact on enumerative problems in moduli spaces of curves. Delve into tropical Hurwitz numbers, k-DR cycles, and leaky Hurwitz numbers, with insights on incorporating descendants.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Tropical Contributions to Enumerative Geometry of Target Dimension One - Lecture 2

Explore tropical geometry's impact on enumerative problems in moduli spaces of curves. Delve into tropical Hurwitz numbers, k-DR cycles, and leaky Hurwitz numbers. Examine ongoing research on descendants in tropical algorithms.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Tropical Contributions to Enumerative Geometry of Target Dimension One - Lecture 1

Explore tropical geometry's impact on enumerative problems in moduli spaces of curves. Delve into tropical Hurwitz numbers, branch polynomials, and k-DR cycles, uncovering new perspectives in algebraic combinatorics.

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

Harvard CMSA

Enumerative Geometry and Modularity in Two-Modulus K3-Fibered Calabi-Yau Threefolds

Delve into advanced algebraic geometry concepts focusing on K3-fibered Calabi-Yau threefolds, exploring their classification, moduli spaces, and mirror symmetry principles.

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

BIMSA

Motivic Homotopy Theory and Quadratic Enumerative Geometry

Explore how motivic homotopy theory revolutionizes quadratic enumerative geometry through advanced mathematical frameworks and computational techniques.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

IMSA

Enumerative Geometry and Special Functions - Lecture 1

Explore the interplay between enumerative geometry and special functions, connecting historical mathematical concepts with modern research in geometry and number theory.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

IMSA

Enumerative Geometry and Special Functions - Lecture 2

Explore the intersection of enumerative geometry and special functions, discovering new interpretations and generalizations of historical mathematical concepts in modern research.

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

Fields Institute

Mechanism Synthesis and Applied Enumerative Geometry

Explore applied enumerative geometry in mechanism synthesis, uncovering innovative approaches to design and optimize mechanical systems for various engineering applications.

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

Fields Institute

Enumerative Geometry in A^1 Homotopy Theory

Explore enumerative geometry through A^1 techniques, uncovering new insights and applications in algebraic geometry with Duke University's Kirsten Wickelgren.

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

Fields Institute

Maximally Inflected Planar Curves in Enumerative Geometry

Explore the mathematical intricacies of maximally inflected planar curves in this advanced geometry lecture by Harvard's Thomas Brazelton at the Fields Institute.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Quadratic Enumerative Invariants and Local Contributions in Algebraic Geometry

Delve into quadratic enumerative geometry, exploring enriched counting methods for geometric objects using quadratic forms, with applications to lines on cubic surfaces and hypersurfaces.

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