Polynomial Bounds on Reidemeister Moves in Knot Theory
Explore polynomial bounds on Reidemeister moves in knot theory, examining algorithms for trivial knot recognition and the relationship between diagram complexity and move sequences.
Variational Approximations for Bayesian and Semi-Bayesian Inferences
Explore variational approximations in Bayesian inference, focusing on group-variable selection and heteroscedastic Gaussian processes. Learn efficient parameter estimation and process forecasting techniques.
Regressing Multivariate Gaussian Distribution on Vector Covariates for Co-expression Network Analysis
Explore Fréchet regression for analyzing gene co-expression networks using population-level single-cell data. Learn to test associations between covariance matrices and covariates.
L^2-Invariants and Dynamical Invariants in Algebraic Actions
Explore connections between $L^2$-invariants in operator algebra and entropy/mean dimension in topological dynamical systems, focusing on algebraic actions of discrete groups.
The Langlands Project - Connecting Automorphic Forms and Number Theory
Explore the Langlands project's deep connection between automorphic forms and arithmetic, tracing its roots and current challenges in mathematics.
The Chromatic Number of Random Graphs
Explore the chromatic number of random graphs, focusing on lower bounds for G(n,1/2) and its limiting distribution. Discover recent advancements in graph theory and probabilistic methods.
Hamiltonicity of Expanders: Optimal Bounds and Applications
Explore optimal bounds and applications of Hamiltonicity in expanders with Nemanja Draganić, delving into extremal and probabilistic combinatorics, Ramsey theory, and theoretical computer science.
Rationality Problems in Algebraic Geometry - ICBS 2024
Explore geometric ideas and constructions in the study of rationality of higher-dimensional algebraic varieties, focusing on recent developments and challenges.
Growth in Tensor Powers
Explore tensor power decomposition in group representations, focusing on asymptotic behavior and non-negligible summands using symmetric tensor category theory.
Geometric Stability of Weyl's Law and Applications to Asymptotic Spectral Shape Optimization
Explore geometric stability of Weyl's law and its applications to asymptotic spectral shape optimization, focusing on eigenvalue behavior in bounded Lipschitz domains.
One-ended Spanning Trees in Amenable Group Actions
Explore one-ended spanning trees in free Borel actions of amenable groups, with applications to Borel combinatorics. Discover related results in Baire measurable and Borel settings.
Poisson Boundaries Without Moment Conditions for Hyperbolic Groups
Explore advanced techniques for identifying Poisson boundaries of hyperbolic groups, focusing on the innovative "pin down approximation criterion" for finite entropy measures without moment assumptions.
Realizations of Equivalence Relations and Subshifts
Explore countable Borel equivalence relations, continuous actions on compact spaces, and subshifts. Investigate complexity and genericity of properties like hyperfiniteness in the space of subshifts.
Hypergraph Decompositions and Their Applications
Explore hypergraph decompositions and their applications in combinatorics with Oxford Professor Peter Keevash, known for solving the Existence Conjecture for Combinatorial Designs.
Rainbow Thresholds in Graph Theory
Explore extremal combinatorics, graph theory, and theoretical computer science with Prof. Jie Han's insights on rainbow thresholds in mathematics.
Two Geometric Applications of the Linear Algebra Method
Explore geometric applications of linear algebra with János Pach, covering discrete geometry, convexity, and combinatorics in this research seminar.
Hypertrees in Combinatorics and Graph Theory
Explore hypertrees with Professor Nati Linial, delving into combinatorics, algorithms, and their applications in computer science and mathematics.
Chinese Restaurant Process and Statistical Inference
Explore Chinese Restaurant process and statistical inference with Prof. Kiranmoy Das, covering Bayesian modeling and longitudinal data analysis applications.
Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 4
Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 2
Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 1
Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.