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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


On the classification of critically fixed rational maps
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by Kristin Cordwell, Selina Gilbertson, Nicholas Nuechterlein, Kevin M. Pilgrim and Samantha Pinella PDF
Conform. Geom. Dyn. 19 (2015), 51-94 Request permission


We discuss the dynamical, topological, and algebraic classification of rational maps $f: \widehat {\mathbb {C}} \to \widehat {\mathbb {C}}$, each of whose critical points $c$ is also a fixed-point of $f$, i.e., $f(c)=c$.
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Additional Information
  • Kristin Cordwell
  • Affiliation: 360 W. 43rd St, Apt. S8E, New York, New York 10036
  • Email:
  • Selina Gilbertson
  • Affiliation: Department of Mathematics and Statistics, P.O. Box 5717, Northern Arizona University, Flagstaff, Arizona 86011
  • Email:
  • Nicholas Nuechterlein
  • Affiliation: 711 Catherine St., Ann Arbor, Michigan 48104
  • Email:
  • Kevin M. Pilgrim
  • Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
  • MR Author ID: 614176
  • Email:
  • Samantha Pinella
  • Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1043
  • MR Author ID: 1080686
  • Email:
  • Received by editor(s): September 12, 2013
  • Published electronically: March 19, 2015
  • © Copyright 2015 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 19 (2015), 51-94
  • MSC (2010): Primary 37F20; Secondary 05C10, 57M12, 57M15, 20E08
  • DOI:
  • MathSciNet review: 3323420