Singularity Theory Courses and Certifications

Centre International de Rencontres Mathématiques

Artin Approximation and Singularity Theory

Explore advanced mathematical concepts in Artin approximation, singularity theory, and algebraic geometry through expert lectures on formal power series and algebraic equations.

• YouTube
• 8 hours 20 minutes
• On-Demand
• Free Video

ICTP Mathematics

F-Singularities - Applications of Characteristic P Methods to Singularity Theory

Explore applications of characteristic p methods in singularity theory, focusing on F-singularities and their implications for algebraic geometry and commutative algebra.

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

ICTP Mathematics

F-Singularities - Applications of Characteristic P Methods to Singularity Theory

Explore applications of characteristic p methods in singularity theory, focusing on F-singularities and their implications in algebraic geometry and commutative algebra.

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

IMSA

Quadratic Forms in Surface Automorphisms and Singularity Theory

Explore pseudo-periodic surface automorphisms, quadratic forms, and their applications in singularity theory. Gain insights into Milnor fibers and monodromy automorphisms.

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

IMSA

Theory of Atoms, Singularity Theory and Applications to Birational Geometry - Parts I and II

Delve into advanced mathematical concepts exploring atoms theory, singularity theory, and their applications in birational geometry, featuring new rationality obstructions and Mendeleev tables.

• YouTube
• 2 hours 4 minutes
• On-Demand
• Free Video

IMSA

New Developments in Singularity Theory

Explore cutting-edge advances in singularity theory through expert mathematical research presented at this specialized academic conference.

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

IMSA

New Developments in Singularity Theory

Explore cutting-edge advances in singularity theory through expert insights from Harvard's Benjamin Gammage at this specialized mathematical conference.

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

Fields Institute

Techniques of Resolution of Singularities in Quasianalytic Classes - Lecture 1

Explore advanced mathematical concepts in singularity resolution within quasianalytic classes, presented by Andre Belotto da Silva from Université de Paris.

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

ICTP Mathematics

Exotic Spheres and Singularities - Math Associates Seminar

Explore the fascinating journey from exotic spheres to Milnor's Fibration Theorem, a cornerstone in singularity theory, and its impact on complex hypersurface geometry and topology.

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

IMSA

Counting Divisorial Contractions with Centre a $cA_n$-Singularity

Explore 3D divisorial contractions with $cA_n$-singularity centers, simplifying existing classifications and examining high-discrepancy contractions to fixed varieties.

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

IMSA

GPPV Invariants and the Spectrum of Singularities

Explore complex surface singularities, their 3-manifold links, and GPPV invariants. Discover new connections between modular forms and singularity spectra for Brieskorn homology spheres and ADE singularity links.

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

IMSA

Steenbrink Spectra in Singularity Categories

Explore Steenbrink spectra's role in singularity categories, examining how spectral numbers manifest in triangulated singularity categories associated with singularities.

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

IMSA

Logarithmic Resolution of Singularities

Explore a novel approach to resolving singularities in algebraic geometry using logarithmic techniques, offering faster and more functorial results with applications to log schemes and morphisms.

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

IMSA

Spectrum of Singularities

Explore hypersurface singularity spectra: definition, properties, and computational techniques. Learn about Thom-Sebastiani theorem, semicontinuity, and applications in algebraic geometry.

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

Institut des Hautes Etudes Scientifiques (IHES)

From Thom's Gradient Cell Decomposition to the Curvature of Milnor Fibers

Explore Thom's gradient cell decomposition and its impact on understanding complex hypersurface singularities, polar curves, and Milnor fibers through algebraic, topological, and Lipschitz-geometric perspectives.

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