
Explore random 2-cell embeddings of graphs in surfaces, from basic concepts to recent developments in Random Topological Graph Theory.

Explore algebraic topology tools for network analysis, focusing on their application in neuroscience to understand structure-function relationships.

Explore high-dimensional expanders, their local-to-global properties, and applications in coding theory, networking, and computational complexity.

Explore computational mathematics at the intersection of dynamics, geometry, and algebra, focusing on geometric numerical integration and structure-preserving discretization of differential equations.

Explore geometry and 3D symmetries in machine learning for drug discovery, covering key concepts like tensor products and network equivalence.

Explore graph rewriting techniques for studying topological invariants in finite lattice systems and their applications to physical phenomena.

Explore mathematical games and puzzles involving polygon dissections with Ed Pegg Jr. Discover fascinating geometric concepts and their applications in this engaging presentation.

Explore the fundamental "lattice" structure in mathematics, its connections to various topics, and its significance in pure mathematics research.

Explore the moduli space Hg,n and its algebraic structure in this mathematical video presentation on weight zero compactly supported cohomology research.

Explore the intricate topology of the 2-loop amplituhedron, delving into advanced concepts in theoretical physics and mathematical structures.

Explore exponential networks and Donaldson-Thomas invariants in this advanced mathematics lecture, delving into complex algebraic structures and topological insights.

Explore equivariant Lagrangian correspondences and their applications in mathematics, focusing on advanced concepts and theoretical frameworks.

Explore HOMFLYPT skein theory, curve counting, and recursive techniques in knot theory with insights from Tobias Ekholm's advanced mathematical lecture.

Explore advanced mathematical concepts in skein theory, focusing on curve counts and recursive techniques in topology and knot theory.

Explore the connection between AGT Conjecture and Cohomological Hall Algebras in this advanced mathematical lecture by Francesco Sala, delving into complex algebraic structures and their applications.

Explore the mathematical concept of abelianization in skein modules, delving into advanced algebraic topology and knot theory principles.

Explore the fascinating intersection of mathematics and football, uncovering geometric principles and physical laws that shape the beautiful game.

Explore BPS spectra and quantum invariants in theoretical physics, delving into advanced mathematical concepts and their applications in modern quantum theory.

Explore BPS spectra and quantum invariants in theoretical physics, delving into advanced mathematical concepts and their applications in modern quantum theory.

Explore advanced concepts in quiver theory and cohomological Hall algebras, delving into complex mathematical structures and their applications in algebraic geometry.

Explore advanced concepts in quiver theory and cohomological Hall algebras, delving into their intricate connections and applications in algebraic geometry and representation theory.