
Explore Sharkovsky ordering's application to the Mandelbrot set, uncovering fascinating connections between discrete dynamics and complex analysis.

Explore Thurston's asymmetric metric on Teichmüller space and its generalizations to higher-rank Lie groups, examining geometric and dynamical invariants of hyperbolic structures.

Explore knot invariants and hyperbolic flows in this advanced mathematics talk by Northwestern researcher Solly Coles.

Explore Hodge theory for non-Archimedean analytic spaces, extending Deligne's work and generalizing complex analytic constructions. Gain insights into K-analytic spaces and their cohomology groups.

Explore the first formalization of ∞-category theory's Yoneda lemma using Rzk, a new proof assistant for synthetic ∞-category theory, paving the way for advanced mathematical proofs.

Learn to write clear and effective mathematical proofs with Daniel Solow's comprehensive guide "How to Read and Do Proofs", covering essential techniques for logical reasoning and argumentation.

Explore global synchronization in Kuramoto oscillator networks, examining critical connectivity thresholds and unsolved puzzles in network behavior.

Explore electronic topology and correlations in kagome metals, focusing on transition metal stannides and AV3Sb5 family. Discover unique phenomena arising from magnetism, spin-orbit coupling, and geometric frustration.

Explore morphological analysis of collagen fiber straightness in colon mucosa, revealing insights into colorectal cancer development through topological and statistical approaches.

Explore the intersection of topology, representation theory, and higher structures with leading mathematicians. Gain insights into this exciting field's challenges, impacts, and potential applications.

Explore fillings of contact links in isolated quotient singularities. Delve into strong and exact fillings, tight criteria, terminal singularities, and orbifold symplectic cohomology in this advanced mathematics lecture.

Explore local holomorphic dynamics in this advanced mathematics lecture, part of the Brazil-France School on Foliation Theory. Delve into complex analysis and dynamical systems.

Explore Fano manifolds and Lefschetz defect in algebraic geometry. Delve into advanced concepts with expert Cinzia Casagrande in this comprehensive mini-course from the V Latin American School of Algebraic Geometry.

Explore surfaces with Wahl singularities and their applications in algebraic geometry. Gain insights from expert Giancarlo Urzúa in this comprehensive lecture from the V Latin American School of Algebraic Geometry.

Explore higher dimensional Fano varieties in algebraic geometry. Delve into advanced concepts and recent developments in this field with expert insights from UCLA researcher Joaquín Moraga.

Explore higher dimensional Fano varieties in this advanced algebraic geometry lecture. Delve into complex mathematical concepts and theories presented by expert Joaquín Moraga from UCLA.

Explore surfaces with Wahl singularities and their applications in algebraic geometry. Gain insights from expert Giancarlo Urzúa in this advanced mathematics lecture from the V Latin American School of Algebraic Geometry.

Explore surfaces with Wahl singularities and their applications in algebraic geometry. Gain insights from expert Giancarlo Urzúa in this advanced mathematics lecture from the V Latin American School of Algebraic Geometry.

Explore tournaments on root systems in discrete probability and statistics. Engage in collaborative research, minicourses, and open problem sessions at IMPA's month-long extended program for mathematicians.

Explore character varieties of tangles and singular instanton homology. Investigate Lagrangian Floer theory for knot study, examining tangle sums and their implications for knot invariants.

Explore Z/p-equivariant symplectic cohomology and its Gysin sequence, connecting S^1 and Z/p versions. Discover applications to Seidel's conjecture on localized S^1-equivariant symplectic cohomology.