Inferring Cell-state Dynamics from High-resolution Lineage Tracking of Single Cells
Explore cell-state dynamics through high-resolution lineage tracking, uncovering insights into cancer progression and potential treatment approaches in this theoretical biology lecture.
To Live or Not to Live - Decision Making in Single Cancer Cells - Lecture 1
Explore decision-making processes in individual cancer cells, examining factors influencing cell survival and death. Gain insights into cellular behavior and its implications for cancer progression and treatment.
Chance and Necessity: Decision Making in Single Cancer Cells - Lecture 2
Explore decision-making processes in individual cancer cells, examining the interplay between randomness and determinism in cellular behavior and its implications for cancer progression.
Rotation-Invariant Web Bases from Hourglass Plabic Graphs and Symmetrized Six-Vertex Configurations
Explore symmetrized six-vertex model, hourglass plabic graphs, and their applications in statistical mechanics and combinatorics. Discover connections to tableaux, alternating sign matrices, and plane partitions.
Sums of GUE Matrices and Concentration of Hives from Correlation Decay of Eigengaps
Explore the concentration of augmented hives in sums of random Hermitian matrices, using GUE ensemble eigenvalues and analyzing asymptotic behavior as eigenvalue count increases.
Enumerative Geometry and Special Functions - Lecture 2
Explore the intersection of enumerative geometry and special functions, discovering new interpretations and generalizations of historical mathematical concepts in modern research.
Enumerative Geometry and Special Functions - Lecture 1
Explore the interplay between enumerative geometry and special functions, connecting historical mathematical concepts with modern research in geometry and number theory.
Physical Measurements - Units, Quantities, and Tools
Comprehensive overview of physical measurements, covering units, quantities, and tools. Explores fundamental concepts crucial for physics and related sciences, preparing students for various exams.
Living in the Matrix - Recent Advances in Understanding Quantum Spacetime
Explore recent advances in quantum gravity, including "random matrix" models for spacetime emergence, and their implications for understanding black holes and the universe's origins.
Unifying Lattices Through Hourglass Plabic Graphs
Explore connections between web bases, quantum groups, and lattice models. Discover new combinatorial frameworks linking alternating sign matrices, plane partitions, and the Tamari lattice.
Topology of the Fermi Sea
Explore the Fermi sea's topology, its quantized responses, and correlation functions. Discover how topological invariants manifest in entanglement and distinguish Fermi liquid phases.
Topological Gapped Phases in Twisted Bilayer Systems - Emil Prodan
Explore topological gapped phases in twisted bilayers through mass-spring systems, revealing Hofstadter-like spectra and novel quantized effects in non-commutative geometry.
Emergence of Universal Randomness in Quantum Many-body Dynamics
Explore universal randomness in quantum dynamics, deep thermalization, and Hilbert-space ergodicity. Learn about applications in quantum information theory and experimental observations.
A Perturbation and Free Boundary Approach to the Monopolist's Problem
Explore a mathematical approach to the Monopolist's problem using perturbation theory and free boundary methods, offering insights into economic optimization strategies.
What Does Not Kill Cancer Can Make It Stronger - Investigating Cancer as a Complex System
Explore how mathematical models and interdisciplinary approaches can enhance our understanding of cancer progression, metastasis, and treatment resistance, potentially leading to new therapeutic strategies.
From Random Tilings to Integrable Vertex Models - Part 2
Explore integrable vertex models, their applications to random growth and particle systems, and connections to random tilings and symmetric functions in this advanced mathematics lecture.
Introduction to Discrete Integrable Systems - Part 1
Explore discrete integrable systems with Sanjay Ramassamy, covering fundamental concepts and applications in geometry and statistical mechanics. Gain insights into this advanced mathematical field.
From Random Tilings to Integrable Vertex Models - Part 1
Explore integrable vertex models, their applications in random growth and particle systems, and connections to random tilings and symmetric functions in this advanced mathematics lecture.
S-embeddings and Discrete Maximal Lorentz Surfaces
Explore s-embeddings and discrete maximal Lorentz surfaces in this advanced mathematics talk, focusing on isothermic surfaces, mean curvature, and associated families in discrete geometry.
Dimers on a Riemann Surface and Compactified Free Field
Explore dimer models on Riemann surfaces, height function convergence, and connections to compactified free fields. Gain insights into probabilistic methods and discrete complex analysis in statistical mechanics.
Local Weak Convergence for Random Constraint Satisfaction Problems
Explore local weak convergence in random constraint satisfaction problems with Princeton's Allan Sly, delving into advanced statistical mechanics concepts beyond two dimensions.