ICTP Mathematics Courses

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 2

Explore connections between Rogers-Ramanujan identities and icosahedron, linking number theory, modular forms, combinatorics, and conformal field theory in an accessible survey for mathematicians.

• YouTube
• 1 hour 45 minutes
• Self-Paced
• Free Video

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 1

Explore the deep connections between the Rogers-Ramanujan identities and the icosahedron, spanning number theory, modular forms, combinatorics, and more in this accessible mathematical lecture.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Some Aspects of Research on the Gender Gap in Science by Social Scientists

Explore social science research on gender disparities in scientific fields, examining historical perspectives, feminist critiques, and societal representations of women in STEM.

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

Changing the Face of Computing

Explore strategies to increase diversity in computing, focusing on gender gaps, retention programs, and creating welcoming environments for underrepresented groups in tech.

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

Career Development Workshops for Women in Physics - No Longer Alone

Empowering workshops for women in physics, focusing on career development, skill-building, and networking. Addresses unique challenges and provides tools for success in a male-dominated field.

• YouTube
• 29 minutes
• Self-Paced
• Free Video

Recent Developments at UNESCO on Gender Equality

Explore UNESCO's gender equality initiatives, including action plans, statistics, and sector-specific efforts in education, culture, and science. Learn about global progress and challenges.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

What We Learned About the Gender Gap Across Scientific Disciplines

Explore gender gaps across disciplines through interdisciplinary research, methodology comparisons, and data analysis of publications, surveys, and top journals in physics and astronomy.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

Report on the Global Survey of Scientists - Analysis and Results

Comprehensive analysis of global scientist survey, exploring career experiences, discrimination, and factors influencing scientific progress across disciplines and regions.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Gender Gap in Science: Insights from Asia, Africa, and Latin America

Explora la brecha de género en ciencia en Asia, África y América Latina, analizando estudios doctorales, progresión profesional, salarios y discriminación, con énfasis en buenas prácticas y redes para cambiar estereotipos.

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

Invariants of Manifolds from 6 Dimensions

Explore advanced mathematical concepts in gauge theories and differential invariants, focusing on invariants of manifolds from 6 dimensions and their applications in theoretical physics.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

MTC and Twisted Hilbert Spaces

Explore twisted Hilbert spaces and their applications in topology, including Jones polynomials, torsion, and Gromov-Witten invariants. Gain insights into advanced mathematical concepts and their interconnections.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Invariants of Manifolds from Non-Gauge Theories

Explore geometric and syntactic meanings of manifold invariants, flavor symmetries, and hypersurface theories in this advanced mathematics lecture by Du PEI from Caltech.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Virtual Topological Invariants of Moduli Spaces of Sheaves on Surfaces

Explore virtual topological invariants of moduli spaces, focusing on multiplicative classes, convergence, and residual formulas in sheaf theory on surfaces.

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

Virtual Topological Invariants of Moduli Spaces of Sheaves on Surfaces

Explore virtual topological invariants of moduli spaces, focusing on sheaves on surfaces. Learn about ischemic points, Euler numbers, and perfect obstruction theory.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Invariants of Manifolds From 6 Dimensions

Explore invariants of 6-dimensional manifolds, covering vector spaces, complex numbers, and vertex operator algebras. Delve into state field correspondence and multi-dimensional environments.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video