
Explore recent advancements in general relativity, covering topics from Lorentzian manifolds to black hole stability and many-black-hole spacetimes.

Explore connections between algebra centers and geometric cohomology, focusing on quantum groups and affine Springer fibers in Lie theory.

Exploring persistent function-based machine learning for drug design, focusing on novel molecular representations and their application in improving predictive models for drug discovery.

Explore the math of superposition and quantum states, focusing on polarized light and its relation to classical electromagnetic waves. Gain insights into quantum mechanics fundamentals.

Explore advanced numerical modeling techniques for investigating pathogen fate and transport in urban waterways, their potential health impacts, and calibration methods for water quality models.

Learn to apply the 5% rule with the quadratic equation through discussion and practice problems, enhancing your problem-solving skills in general chemistry.

Explore mathematical modeling for climate change adaptation, from city planning to risk assessment. Experts discuss how climate science informs decision-making and action planning for a changing world.

Explore optimal arrangements of disks in 2D and higher dimensions, focusing on recent findings for multiple disk sizes. Survey of results accessible to a broad audience.

Explore how climate change impacts species' range shifts and dispersal evolution, examining mathematical models and ecological implications for biodiversity conservation.

Explore tensor integrals and their applications in quantum entanglement detection, focusing on multipartite systems and advanced mathematical concepts in quantum physics.

Explore advanced concepts in quantum field theory and noncommutative geometry, focusing on topological recursion and its applications in organizing quantum fields.

Explore the intersection of quantum gravity and Dirac ensembles in this advanced physics lecture, delving into cutting-edge theories and mathematical frameworks.

Explore advanced mathematical concepts in derived differential geometry and their applications to quantizing gauge field theories in physics.

Explore Hamiltonian geometry and dynamics in relation to compressible fluids, delving into mathematical concepts and physical applications in fluid mechanics.

Explore Dirac operators and their applications in geometry and topology, focusing on families and their mathematical significance in advanced theoretical frameworks.

Exploration of H_2 Lie algebra action on cohomology of stable twisted Higgs bundles moduli space, connecting tautological classes and Hecke operators to filtrations P and W.

Explore topological mirror symmetry, character varieties, and the P=W conjecture in relation to Higgs bundle moduli spaces and Hitchin systems in this advanced mathematics lecture.

Explore anyons, their fractionalization, and dynamics in topological systems. Discover recent advancements in the interplay between topology, symmetry, and interactions in quantum materials.

Explores recent advancements in crystalline graphene multilayers, focusing on intervalley coherence and emergent spin-orbit coupling. Discusses implications for topology, symmetry, and interactions in condensed matter physics.

Exploring quantum materials using nonlinear techniques to investigate symmetry and quantum geometry. Discusses recent advancements in probing topological properties and their interplay with symmetry and interactions.

Exploring correlated phases in geometrically frustrated lattices, focusing on recent developments in topology, symmetry, and interactions in condensed matter physics.