NCCR SwissMAP Courses

Transverse Intersection Algebra and Fractional Linking

Explore transverse intersection algebra and fractional linking concepts in low-dimensional topology through advanced homological and quantum methods.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

On Algebraisation of Low Dimensional Topology

Explore algebraic methods in low-dimensional topology with advanced homological, quantum, and computational approaches from University of Zürich expertise.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

The Arithmetic of Power Series and Applications to Irrationality

Explore advanced arithmetic techniques for power series and their applications in proving irrationality results in number theory.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

A Λ-adic Oda-Lift

Explore advanced Λ-adic constructions and Oda-Lift techniques in automorphic forms theory through specialized mathematical research presented at an international workshop.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

p-Adic Aspects of Maass Forms

Explore p-adic properties of Maass forms and their mathematical connections in this advanced number theory presentation by Jan Vonk from Leiden University.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Joint Equidistribution of New Forms

Explore joint equidistribution properties of new forms in automorphic theory with advanced mathematical techniques and theoretical frameworks.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

On the GL(2) Sup-Norm Problem in the Level Aspect

Explore advanced techniques for bounding sup-norms of GL(2) automorphic forms as conductor levels vary, presented by a leading researcher in analytic number theory.

• YouTube
• 56 minutes
• Self-Paced
• Free Video

Additive Twists of Maass Forms L-Functions

Explore additive twists of Maass forms L-functions through advanced mathematical analysis and number theory techniques presented by a leading expert from University of Genova.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Modularity from the Point of View of Vertex Algebras and Symplectic Singularities

Explore the deep connections between vertex algebras, symplectic singularities, and modularity in this advanced mathematical workshop presentation.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

The Arithmetic of Coefficients of Certain Automorphic Forms on G2

Explore the arithmetic properties of coefficients in automorphic forms on the exceptional Lie group G2 through advanced mathematical analysis and research insights.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

The Stark Conjectures for Cyclomatic Extensions of Complex Cubic Fields

Explore advanced number theory through Stark conjectures applied to cyclomatic extensions of complex cubic fields in this specialized mathematical research presentation.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Hecke Equidistribution in Cryptography

Explore Hecke equidistribution applications in cryptographic systems through advanced mathematical analysis and theoretical frameworks.

• YouTube
• 10 minutes
• Self-Paced
• Free Video

Rigid Classes for SL(n) and p-adic Families of Modular Forms

Explore rigid classes for SL(n) and their connection to p-adic families of modular forms in this advanced mathematical presentation.

• YouTube
• 11 minutes
• Self-Paced
• Free Video

p-adic Theta-functions and Rigid Meromorphic Cocycles

Explore p-adic theta-functions and their connection to rigid meromorphic cocycles in this advanced mathematical presentation from MPIM Bonn researcher Michael Alexander Daas.

• YouTube
• 11 minutes
• Self-Paced
• Free Video

On Connections Between Modular Forms and Coding Theory

Explore the fascinating connections between modular forms and coding theory in this mathematical workshop presentation by Jolanta Marzec-Ballestros.

• YouTube
• 11 minutes
• Self-Paced
• Free Video