
Explore isolated and parameterized points on algebraic curves, examining their behavior in families and implications for elliptic curve arithmetic. Gain insights into curve geometry and its connection to arithmetic properties.

Explore the Langlands project's deep connection between automorphic forms and arithmetic, tracing its roots and current challenges in mathematics.

Explore heights of algebraic cycles and their connections to L-series special values, focusing on CM points and Gross-Schoen cycles on elliptic curves.

Explore connections between affine vertex algebras and elliptic affine Springer fibres, delving into representation theory and geometric insights.

Explore the refutation of the Aldous-Lyons conjecture through novel interactive proof systems and subgroup tests, connecting complexity theory to probability theory and group theory.

Explore the hilarious world of maths with Kjartan Poskitt. Discover fascinating number facts, tricks, codes, and predictions through interactive demonstrations and audience participation.

Explore quasi Jacobi forms and moduli space of enhanced elliptic curves in this advanced mathematics lecture by Jin Cao, part of the GADEPs conference on Noether-Lefschetz and Hodge loci.

Explore the evolving landscape of content authentication and the C2PA initiative's role in combating deepfakes, from technical implementations to privacy challenges in our AI-driven world.

Learn to model a simple pumpkin in Blender 2.4, covering shaping techniques, stem creation, and using the lattice tool in this Halloween-themed tutorial.

Learn curve modeling techniques in Blender 2.4, including bevel objects, taper objects, and lattices. Master essential skills for creating complex 3D shapes efficiently.

Explore K_2 of elliptic curves over non-Abelian fields, including constructions, integral elements, and numerical verification of Beilinson's conjecture. Joint work with Brunault, Hang, and Rodriguez Villegas.

Explore quantum mechanics' evolution into computing and cryptography, focusing on photonic research at RRI for secure quantum communications and the future of quantum internet development.

Delve into groundbreaking quantum physics research behind the 2022 Nobel Prize, exploring entanglement, quantum teleportation, and secure communications through satellite-based quantum systems.

Explore quantum entanglement routing protocols for long-distance secret sharing in quantum networks. Learn about challenges, models, and algorithms for scalable quantum communication.

Explores advanced Feynman integrals using elliptic generalizations of polylogarithms, discussing properties through periods of elliptic curves and the Picard-Lefschetz theorem.

Explore the impact of fractional statistics on anyon collisions in quantum systems, delving into advanced concepts at the intersection of condensed matter physics and quantum information.

Nobel laureates discuss quantum entanglement experiments and their impact on quantum information science. Includes insights on the Nobel Prize nomination process and a journey through quantum physics concepts.

Explore the theory of chiral state conversion in non-Hermitian systems, delving into quantum mechanics and condensed matter physics concepts for advanced understanding.

Explore elliptic orthogonal polynomials and their integrability through Riemann-Hilbert analysis, examining discrete and continuous integrable systems and connections to the sixth Painlevé equation.

Exploration of Skyrme stripe crystals in twisted double bilayer graphene, discussing their properties, formation, and implications for condensed matter physics and quantum information.

Explore quantum entanglement's observability, pseudoentanglement, and its applications in property testing and holography. Discuss recent advancements in public key pseudoentanglement and local Hamiltonians.