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Curtis T. McMullen

Curtis T. McMullen

D-Index & Metrics

Mathematics

D-Index
50
Citations
12658
World Ranking
1065
National Ranking
495

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2007 - Member of the National Academy of Sciences
  • 2004 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1998 - Fields Medal of International Mathematical Union (IMU) He has made important contributions to various branches of the theory of dynamical systems, such as the algorithmic study of polynomial equations, the study of the distribution of the points of a lattice of a Lie group, hyperbolic geometry, holomorphic dynamics and the renormalization of maps of the interval.
  • 1998 - Fellow of the American Academy of Arts and Sciences
  • 1988 - Fellow of Alfred P. Sloan Foundation

Overview

Curtis T. McMullen is affiliated with Harvard University in the United States. Their research primarily focuses on mathematics, with notable contributions in the areas of geometry and topology, mathematical physics, statistical and nonlinear physics, applied mathematics, and discrete mathematics and combinatorics.

The scientist's work covers several main topics, including mathematical dynamics and fractals, geometric and algebraic topology, mathematics and applications, quantum chaos and dynamical systems, point processes and geometric inequalities, advanced combinatorial mathematics, and analytic and geometric function theory.

Some recent publications reflect the diversity and focus of their research:

  • Billiards, quadrilaterals and moduli spaces (2020), Journal of the American Mathematical Society
  • Geodesic planes in the convex core of an acylindrical 3-manifold (2022), Duke Mathematical Journal
  • Modular symbols for Teichmüller curves (2021), Journal für die reine und angewandte Mathematik (Crelles Journal)
  • Billiards, heights, and the arithmetic of non-arithmetic groups (2022), Inventiones mathematicae
  • Billiards and Teichmüller curves (2022), Bulletin of the American Mathematical Society

Frequent coauthors collaborating with Curtis T. McMullen include:

  • Alex Eskin
  • Ronen E. Mukamel
  • Alex Wright
  • Amir Mohammadi
  • Hee Oh

Key venues where this researcher has published their work include:

  • Journal of the American Mathematical Society
  • Duke Mathematical Journal
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
  • Inventiones mathematicae
  • Bulletin of the American Mathematical Society

Curtis T. McMullen has been recognized with several awards and honors:

  • Fellow of the American Mathematical Society (2013)
  • Member of the National Academy of Sciences (2007)
  • Fellow of John Simon Guggenheim Memorial Foundation (2004)
  • Fields Medal of the International Mathematical Union (IMU) (1998) for contributions to dynamical systems, such as the algorithmic study of polynomial equations, distribution of lattice points in Lie groups, hyperbolic geometry, holomorphic dynamics, and renormalization of interval maps
  • Fellow of the American Academy of Arts and Sciences (1998)
  • Fellow of Alfred P. Sloan Foundation (1988)

Best Publications

  • Logic Minimization Algorithms for VLSI Synthesis

    Robert King Brayton;Alberto L. Sangiovanni-Vincentelli;Curtis T. McMullen;Gary D. Hachtel

  • Complex Dynamics and Renormalization

    Curtis Tracy McMullen

  • Complex Dynamics and Renormalization (AM-135), Volume 135

    Curtis T. McMullen

  • The Hausdorff dimension of general Sierpiński carpets

    Curtis T. McMullen

  • Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142

    Curtis Tracy McMullen

  • Mixing, counting, and equidistribution in Lie groups

    Alex Eskin;Curtis T. McMullen

  • Billiards and Teichmüller curves on Hilbert modular surfaces

    Curtis T. McMullen

  • Area and Hausdorff dimension of Julia sets of entire functions

    Curtis T. McMullen

  • Dynamics of SL2(ℝ) Over Moduli Space in Genus Two

    Curtis T. McMullen

  • Families of Rational Maps and Iterative Root-Finding Algorithms

    Curtis Tracy McMullen

  • Quasiconformal Homeomorphisms and Dynamics III. The Teichmüller Space of a Holomorphic Dynamical System

    Curtis T. McMullen;Curtis T. McMullen;Curtis T. McMullen;Dennis P. Sullivan;Dennis P. Sullivan;Dennis P. Sullivan

  • Automorphisms of rational maps

    Curtis T. McMullen

  • Teichmüller curves in genus two: Discriminant and spin

    Curtis T. McMullen

  • Dynamics on K3 Surfaces: Salem Numbers and Siegel Disks

    Curtis T. McMullen

  • Hausdorff Dimension and Conformal Dynamics III: Computation of Dimension

    Curtis T. McMullen

  • Self-similarity of Siegel disks and Hausdorff dimension of Julia sets

    Curtis T. McMullen

  • Dynamics on Blowups of the Projective Plane

    Curtis T. McMullen

  • Complex Earthquakes and Teichmuller Theory

    Curtis T. McMullen

  • Lipschitz maps and nets in Euclidean space

    Curtis T. McMullen

  • Teichmüller curves in genus two: Torsion divisors and ratios of sines

    Curtis T. McMullen

  • Thermodynamics, dimension and the Weil–Petersson metric

    Curtis T. McMullen

Frequent Co-Authors

Alberto Sangiovanni-Vincentelli
Alberto Sangiovanni-Vincentelli University of California, Berkeley
Gary D. Hachtel
Gary D. Hachtel University of Colorado Boulder
Robert K. Brayton
Robert K. Brayton University of California, Berkeley
Benedict H. Gross
Benedict H. Gross University of California, San Diego
John Milnor
John Milnor Stony Brook University
Alex Eskin
Alex Eskin University of Chicago
Robert L. Devaney
Robert L. Devaney Boston University
Clifford Henry Taubes
Clifford Henry Taubes Harvard University
Yakov Eliashberg
Yakov Eliashberg Stanford University

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