Chirality and Quantifying Embeddability
Explore chirality, embeddings, and non-embeddability in topology, with applications to chemical structures and generalizations of classical results.
Combinatorial Atlas for Log-Concave Inequalities
Explore log-concave inequalities in combinatorics, focusing on matroids, Mason's Conjecture, and hyperbolic inequalities. Learn about refinement techniques and equality conditions.
Schlichting's Theorem for Approximate Subgroups
Explore Schlichting's Theorem and its applications to approximate subgroups, including generalizations, structure, and proof techniques in group theory.
Improved Bounds for the Sunflower Lemma
Explore recent progress on the sunflower conjecture, examining structure vs pseudo-randomness and connections to DNF simplification under random restrictions.
Wanted- Topologists for Autonomous Robots Community
Exploring topological complexity in robotics: from path planning to task spaces. Insights into rigorous formulations for robotic autonomy, emphasizing environment topology and combinatorics in cooperative motion.
Kohei Tanaka - Sectional Category for Maps of Finite Spaces
Explore combinatorial approaches to sectional category in finite T_0 spaces, examining McCord maps, weak homotopy equivalences, and Fadell-Neuwirth fibrations through computational examples.
Parametrized Topological Complexity of Hyperplane Arrangement Bundles
Exploring parametrized motion planning in hyperplane arrangement bundles, focusing on topological complexity under supersolvability conditions. Joint work with Dan Cohen.
Homological Mirror Symmetry - Quivers & Curves in Higher Dimensions
Explore the connection between quiver mutations, Poisson X-cluster varieties, and Calabi-Yau categories, leading to a correspondence between Donaldson-Thomas invariants and rational curve counts in higher dimensions.
Khajuraho's Magic Square and Hypercube Symmetries - General Seminar
Explore the symmetries of Khajuraho's Magic Square, its connection to hypercube movements, and broader implications for magic structures in this intriguing mathematical lecture.
Statistics Lecture: Fundamental Counting Rule, Permutations and Combinations
Explore fundamental counting principles, permutations, and combinations in this comprehensive lecture, enhancing your problem-solving skills in probability and statistics.
AMC 12 Cube Colouring Question
Explore a challenging cube coloring problem and learn how to solve it using mathematical reasoning and combinatorial analysis.
Probability Theory for Random Groups Arising in Number Theory
Explores probability theory for random groups in number theory, topology, and combinatorics. Covers moment problems, universality theorems, and distributions of class groups and Selmer groups.
Topology and Combinatorics of Fair Division
Explore the intersection of topology and combinatorics in fair division problems, examining mathematical techniques for equitable resource allocation and distribution.
Joel Kamnitzer- Perfect Bases in Representation Theory- Three Mountains and Their Springs
Exploration of perfect bases in representation theory, examining three approaches and their combinatorial implications for tensor product multiplicities in semisimple groups.
Recent Progress Towards Hadwiger’s Conjecture
Explore recent advancements in graph theory, focusing on Hadwiger's conjecture. Learn about new techniques and results that have led to significant progress in this fundamental problem of graph coloring.
Measurable Graph Combinatorics
Explore measurable graph combinatorics with Andrew Marks, delving into advanced mathematical concepts and their applications in this insightful lecture.
Marina Iliopoulou- Three Polynomial Methods for Point Counting, Lecture III
Explore advanced polynomial techniques for solving geometric problems, including Dvir's method, polynomial partitioning, and slice rank method in finite-field settings.
On Circuit Imbalance Measures and Their Role in Circuit Augmentation Algorithms
Explore new combinatorial condition numbers for linear and integer programs, their relation to existing measures, and their impact on circuit diameter bounds and simplex methods.
Random Matrices and the Uses of Dyson-Schwinger Equations - Lecture 2
Explore advanced concepts in random matrix theory, focusing on Dyson-Schwinger equations and their applications in mathematical physics and statistical mechanics.
Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 5
Combinatoria de superficies quadriculadas e geometria de espacos de modulos: explorando conexões entre topologia, geometria e teoria dos números em espaços de módulos.
Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 4
Exploración avanzada de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, con énfasis en aplicaciones a la teoría de grupos y análisis.