MATH-680 / 3 credits

Teacher: Viazovska Maryna

Language: English

Remark: Fall 2021


Every year


The monstrous moonshine is an unexpected connection between the Monster group and modular functions. In the course we will explain the statement of the conjecture and study the main ideas and concepts leading to its proof. Our final goal is to study Borcherd's proof of the Moonshine conjecture.



Monstrous moonshine, modular forms, Monster group, Leech lattice

Learning Prerequisites

Required courses

Recommended: Modular forms and applications

Assessment methods

Oral presentation



[1] R. Borcherds, "Introduction to the monster Lie algebra", (EXPOSITORY) ``Groups, combinatorics, and geometry, Durham 1990'', p. 99-107, L.M.S. lecture notes in mathematics 165, C.U.P. 1992
[2] R. Borcherds, Monstrous moonshine and monstrous Lie superalgebras, Invent. Math. 109, 405-444 (1992).
[3] J. H. Conway, S. Norton, Monstrous moonshine, Bull. London. Math. Soc. 11 (1979)

Ressources en bibliothèque

In the programs

  • Exam form: Oral presentation (session free)
  • Subject examined: Monstrous moonshine
  • Lecture: 22 Hour(s)
  • Project: 28 Hour(s)

Reference week