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Automorphisms of Riemann Surfaces, Algebraic Curves

and Related Topics Interest Group



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Conferences and Participants
Boston - 2026
Milwaukee - 2024
Virtual AMS - 2022
Tufts U, MA - 2020
Portland OR - 2018
Chicago IL - 2015
Penn State PA - 2009
Tucson AZ - 2007
Santa Barbara CA - 2005

Contact Current Organizers
Allen Broughton
Jennifer Paulhus
Sebastián Reyes-Carocca
Aaron Wooton (primary contact)

Publications
CONM 776 - Feb 2022

Last modified: 1 Feb 26

Special Session on Automorphisms of Riemann Surfaces and Related Topics
Boston College, Chestnut Hill, Boston, MA - March 28-29

AMS Info, Organizers, Invitation and Abstract Submission

Organizers:

Description of the session

The study of Riemann surfaces and their groups of automorphism groups, dating back to Klein and Wiman, connects deeply with topology, number theory, complex analysis, and combinatorics through mapping class groups and the theory of dessins d’enfants. Recent progress has caused a renaissance in the field in the last few decades. This session highlights new developments in this research area and their applications to other areas of mathematics.

Topics (in no particular order)

  • Compact Riemann surfaces and their automorphisms
  • Moduli spaces and families of surfaces
  • Dessins d’enfant, quasi-platonic surfaces, and Belyi maps
  • Klein surfaces, symmetries, and pseudo-real surfaces
  • Genus spectra and strong symmetric genus of groups
  • Signatures of group actions
  • Mapping class groups and their subgroups
  • Hyperelliptic and superelliptic surfaces
  • Automorphisms of rational maps P^d -> P^d
  • Automorphisms of algebraic surfaces

List of participants/authors and talks, ordered by presenter

A star indicates the presenter of multi-author papers. Entries are given in order of presentation.

Participant/Authors Title (click for abstract) Links