
Explore Thomson's 5 point problem and its phase transition constant through rigorous computer-assisted proof. Gain insights into electrostatic potential minimization and power-law potentials on spheres.

Explore the Hasse principle for simply connected groups, its significance in number fields, and recent progress in function fields of curves over p-adic fields.

Explore algebraic geometry through Pythagorean triples, bridging classical mathematics with modern perspectives for a broad audience.

Explore gauged maps, vortices, and moduli spaces through historical context, applications, and analytical tools in mathematical physics.

Explore applications of the Classification of Finite Simple Groups in conjecture cracking, examining both new and classic examples in group theory.

Explore advanced concepts in primitive permutation groups, addressing unresolved problems and potential research directions in group theory.

Explore principal blocks for different primes in group theory, delving into new connections and advanced concepts.

Explore asymptotics of graph complex Euler characteristics with M. Borinsky, delving into algebra, topology, and the Grothendieck-Teichmüller group.

Explore graph complexes, GRT, and GLn cohomology with Oxford's F. Brown. Delve into algebra, topology, and the Grothendieck-Teichmüller group in this advanced mathematical lecture.

Explore automorphisms of seemed surfaces, modular operads, and Galois actions in this advanced algebraic topology lecture by M. Robertson.

Explore graph complexes, operadic mapping spaces, and embedding calculus in this comprehensive survey by B. Fresse from Lille.

Explore stabilizer bitorsors in double shuffle theory, delving into algebra, topology, and the Grothendieck-Teichmüller group with expert insights.

Explore torsion in string topology with Florian Naef, delving into algebraic and topological aspects related to the Grothendieck-Teichmüller group.

Explore Poincaré duality and TQFT structures in loop spaces, delving into advanced algebraic topology concepts with K. Cieliebak from Augsburg.

Explore algebraic topology and the Grothendieck-Teichmüller group through an innovative lens, examining tangles in a unique context.

Explore top weight cohomology of M_{g,n} and its connection to the handlebody group in algebraic topology and Grothendieck-Teichmüller theory.

Explore gravity properad, moduli spaces M_g,n, and string topology with S. Merkulov, delving into algebraic and topological concepts in advanced mathematics.

Explore the average number of zeros in character tables of finite groups, delving into advanced group theory concepts.

Explore the stabilizer Lie algebra of the harmonic coproduct, delving into algebraic and topological concepts related to the Grothendieck-Teichmüller group.

Explore analytic techniques in dynamics and geometry, focusing on zeta functions for Anosov diffeomorphisms, flows, and actions.

Challenging mathematical puzzle involving age and house number, testing logical reasoning and problem-solving skills. Explore a unique problem from the International Championship of Mathematical Games.