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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, in order of presentation

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

Participant/Authors Title (click for abstract) Links
S. Allen Broughton*, Antonio Costa
Milagros Izquierdo
Small Group Census of Non-maximal Actions from Singerman's List slides
Jozef Širáň
Genera of smooth quotients of triangle groups by means of uniform hypermaps
slides
Jakub Szmelter-Tomczuk
On the existence of maximal group actions on compact Riemann surfaces slides
Thomas W. Tucker Cliques in Regular Maps slides
David Swinarski Curves with automorphisms in Mukai's models of the moduli spaces of curves slides
Aaron D. Wootton*, Ezra Caspary Quasisimple Groups that Act with Almost All Sgnatures slides
Ewa Tyszkowska
Clifford bundles over Klein surfaces slides
Ewa Kozlowska-Walania Riemann surfaces with extremal configurations of commuting symmetries slides
Sebastian Reyes-Carocca On subvarieties of the moduli space of Riemann surfaces given by group actions slides
Jennifer Paulhus*, Aaron D. Wootton Actions of the alternating group on Riemann surfaces slides
Marston Conder Recent discoveries about finite quotients of triangle groups and quadrangle groups slides
Yaacov Kopeliovich Some remarkable curves of genius 10 from the MSV table slides
Sudeb Mitra Holomorphic families of Riemann surfaces slides
Arshiya Farhath Gulam Dasthagir*,
Xinlong Dong, Sudeb Mitra
Holomorphic families of Jordan curves slides