Arne Meurman

Arne Meurman (born 6 April 1956) is a Swedish mathematician working on finite groups and vertex operator algebras. He is best known for constructing the Monster vertex algebra together with Igor Frenkel and James Lepowsky, published in their 1988 book 'Vertex Operator Algebras and the Monster'. He is a professor emeritus at Lund University and represented Sweden at the International Mathematical Olympiad in 1974 and 1975.

Notes4

• Co-constructed the Monster vertex algebra with Frenkel and Lepowsky, the central construction behind the Monstrous Moonshine conjecture later proved by Richard Borcherds - a landmark in the field.
• PhD from Rutgers University in 1981 under James Lepowsky, dissertation 'Characters of Rank Two Hyperbolic Lie Algebras as Functions at Quasiregular Cusps' - the Lepowsky advisor link explains the later Frenkel-Lepowsky-Meurman collaboration on the Monster.
• Won silver at IMO 1974 (rank 11, 37 pts) and IMO 1975 (rank 21, 34 pts) for Sweden, a two-year medal run as a teenager that preceded a research career built on Lie algebras and vertex operator algebras.
• Publicly lists work email [contact omitted] and phone [private detail omitted] on the Lund University research portal, and [contact omitted] on his department staff page.
• Still research-active in retirement: co-authored 'Lepowsky's and Wakimoto's product formulas for the affine Lie algebras Cl(1)' in the Journal of Algebra, December 2024.
• Supervised Lund PhD students including Julius Borcea (1998), building a small local school in Lie theory and vertex operator algebras.
• Avid chess player who has competed in the finals of the top regional division with Lunds ASK (Lunds Akademiska Schackklubb), a strong amateur-level commitment outside mathematics.