Concept
Modular curve
Related lectures (41)
Monster Group: Representation
Explores the Monster group, a sporadic simple group with a unique representation theory.
Modular Lambda Function: Properties and Applications
Explores the modular lambda function, its properties, and applications in modular forms.
Extremal Lattices
Explores extremal lattices, emphasizing bounds on shortest vectors and unique modular forms.
Gothic Surfaces: Curvature, Development, and Stereotomy
Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.
Monstrous Moonshine
Explores Monstrous Moonshine, focusing on the 1979 discovery and its mathematical connections.
Fourier Expansion and Modular Forms
Covers the Fourier expansion of modular forms and the Rankin-Selberg method.
Modular Forms: Dimension Formulas
Covers dimension formulas for modular forms and related proofs using Riemann-Roch corollaries.
Unit Tangent Bundle of Hyperbolic Spaces
Covers the unit tangent bundle of hyperbolic spaces and geodesic flows.
Concatenation of Arcs in Geometry
Delves into the historical and geometric aspects of arc concatenation, including ellipse approximation and architectural applications.
Canonical Divisors and Modular Forms
Covers canonical divisors on Riemann surfaces and properties of modular forms.