Banach Center Courses

What is Algebraic Geometry?

Explore the foundations and applications of algebraic geometry with Stanford professor Ravi Vakil in this illuminating lecture.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Mathematical Oncology: Insights into Cancer Treatment from a Mathematical Perspective

Explore mathematical models for cancer treatment, gaining insights into tumor growth, drug delivery, and therapeutic strategies from a quantitative perspective.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Knots and Categories

Explore connections between knot theory and category theory, delving into mathematical concepts and their interrelationships in topology and algebra.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

On Sets of Multiples

Explore sets of multiples in number theory, focusing on their properties and applications in mathematical analysis and dynamical systems.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

From Simplicity to Complexity: The Double Descent Effect in Modern Machine Learning

Explore the double descent effect in modern machine learning, transitioning from simplicity to complexity. Gain insights into this intriguing phenomenon and its implications.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

Countable Amenable Groups, Tilings, Multiorders and Orbit Equivalence of Measure-Theoretic Actions with Z-Actions

Explore countable amenable groups, tilings, multiorders, and orbit equivalence in measure-theoretic actions, comparing them with Z-actions.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

A Beautiful World Beyond Hyperbolic Geometry - Anosov Representations and Higher Teichmüller Spaces

Explore advanced geometric concepts beyond hyperbolic geometry, delving into Anosov representations and higher Teichmüller spaces.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Decompositions and Secant Varieties

Explore decompositions and secant varieties in algebraic geometry, focusing on their applications and theoretical foundations.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

Turing Patterns in Mathematical Biology

Explore Turing patterns in mathematical biology, examining their formation and applications in biological systems. Gain insights into this fascinating intersection of mathematics and biology.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Rigidity of Convex Surfaces in Space-Forms

Explore rigidity properties of convex surfaces in space-forms, focusing on mathematical concepts and geometric analysis techniques.

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

Non-local PDEs and Potential Theory

Explore non-local PDEs and potential theory with Mateusz Kwaśnicki from Wrocław University of Science and Technology, Poland.

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

Model Theory and Differential Equations

Explore connections between model theory and differential equations, gaining insights into mathematical logic and analysis.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Compact and Discrete Quantum Groups

Explore compact and discrete quantum groups, delving into advanced mathematical concepts with expert Piotr M. Sołtan from the University of Warsaw.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

On the Boundary of an Immediate Attracting Basin of a Hyperbolic Entire Function

Explore the boundary dynamics of hyperbolic entire functions' immediate attracting basins. Gain insights into complex analysis and dynamical systems theory.

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

Dynamically Defined Random Fractals

Explore dynamically defined random fractals and their mathematical properties through expert insights from Karoly Simon of Budapest University of Technology and Economics.

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