About

Equivariant enumerative geometry is the study of classical enumerative geometry in the presence of symmetry. To get started reading about this, I’d look at:

• Section 6 of this survey paper by me and Candace Bethea
• An enriched count of nodal orbits in an invariant pencil of conics by Candace Bethea
• Equivariant enumerative geometry, B., 2025

See also:

• Bitangents to symmetric quartics, Bethea-B., 2025
• Intersections of real symmetric hypersurfaces, Lidz-Lihn-Melrod, 2024
• Monodromy in the space of cubic surfaces with a line, B.-Raman, 2025
• Stacks, monodromy and symmetric cubic surfaces, Landi, 2025
• Galois groups of symmetric cubic surfaces, Pichon-Pharabod & Telen, 2025

Some people who are actively working on these ideas are myself, Candace Bethea, Alberto Landi, and Sidhanth Raman.