ICTP Mathematics Courses

The Variance of a General Class of Multiplicative Functions in Short Intervals

Explore the variance of multiplicative functions with ICTP Mathematics. Learn to estimate variance in short intervals using Fourier analysis. Ideal for those interested in advanced mathematics.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Online Course

Generalized Seiberg-Witten Equations

Explore Generalized Seiberg-Witten equations with Thomas Walpuski from HU Berlin, Germany in a 1-2 hour session offered by ICTP Mathematics.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Online Course

Lattices in Low-Dimensional Topology

Explore lattices in low-dimensional topology with Joshua Greene from Boston College, USA, in this 1-2 hour ICTP Mathematics program.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Online Course

Heegaard Floer Homology and Topology in Dimensions 3.5 - 2

Explore Heegaard Floer homology and 3.5 - 2-dimensional topology with ICTP Mathematics. A 1-2 hour study commitment with lectures from Jen Hom of Georgia Tech.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Online Course

Lattices in Low-Dimensional Topology

Explore lattices in low-dimensional topology with Joshua Greene from Boston College, USA. Offered by ICTP Mathematics, expect 1-2 hours of material.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Online Course

Families of Dirac Operators and Applications

Explore the frontiers of Geometry and Topology with Princeton's Francesco Lin in this 1-2 hour ICTP Mathematics program on Dirac Operators.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Online Course

Geometry and Algebra of Pseudoholomorphic Curves

Dive into the geometry and algebra of pseudoholomorphic curves with ICTP Mathematics. Learn from Princeton University's John Pardon in a 1-2 hour session.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Online Course

Families of Dirac Operators and Applications

Explore the frontiers of Geometry and Topology with Princeton's Francesco Lin, in this 1-2 hour material from ICTP Mathematics.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Online Course

Heegaard Floer Homology and Topology in Dimensions 3.5 - 1

Explore Heegaard Floer homology and 3.5 - 1 dimensional topology with ICTP Mathematics. A 1-2 hour study commitment led by Jen Hom from Georgia Tech.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Online Course

Theory of Weights in Rooted K-Trees

Learn the theory of weights in rooted k-trees from Sheldy Ombrosi at ICTP Mathematics, with 1-2 hours of material.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course

Computation of the Vertical Vafa-Witten Invariants II

Dive into Algebraic Geometry with ICTP Mathematics, exploring the computation of vertical Vafa-Witten invariants and intersection numbers on Hilbert schemes. 1-2 hours workload.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Online Course

Computation of Vertical Vafa-Witten Invariants

Dive into algebraic geometry with ICTP Mathematics. Learn about nested Hilbert schemes, Vafa-Witten invariants, and universal generating functions in under an hour.

• YouTube
• 1 hour
• On-Demand
• Free Online Course

Vertical Vafa-Witten Invariants and Nested Hilbert Schemes

Dive into Algebraic Geometry with ICTP Mathematics, exploring Vertical Vafa-Witten invariants and nested Hilbert schemes in a 1-2 hour seminar.

• YouTube
• 1 hour
• On-Demand
• Free Online Course

ICTP-IGAP Seminar on Representations of the Diagonal and the Cohomology Rings of Quot Schemes

Dive into the world of moduli settings and cohomology ring structures with Alina Marian from Northeastern University, USA. This ICTP Mathematics seminar requires 1-2 hours of your time.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Online Course

ICTP-IGAP Algebraic Geometry Seminar on Vertical Vafa-Witten Invariants

Explore algebraic geometry with ICTP Mathematics, focusing on Vertical Vafa-Witten invariants. Expect 1-2 hours of material, including moduli space and structure theorem analysis.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course