Curtis T. McMullen | Academic Influence

Curtis T. McMullen's AcademicInfluence.com Rankings

Curtis T. McMullen

Mathematics

#544

World Rank

#1050

Historical Rank

#245

USA Rank

Measure Theory

#1429

World Rank

#1794

Historical Rank

#491

USA Rank

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Mathematics

Curtis T. McMullen's Degrees

Bachelors Mathematics Williams College

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Why Is Curtis T. McMullen Influential?

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According to Wikipedia, Curtis Tracy McMullen is an American mathematician who is the Cabot Professor of Mathematics at Harvard University. He was awarded the Fields Medal in 1998 for his work in complex dynamics, hyperbolic geometry and Teichmüller theory.

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Curtis T. McMullen's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Logic Minimization Algorithms for VLSI Synthesis (1984) (804)
Complex Dynamics and Renormalization (1994) (713)
Renormalization and 3-Manifolds Which Fiber over the Circle (1996) (427)
The Hausdorff dimension of general Sierpiński carpets (1984) (384)
Mixing, counting, and equidistribution in Lie groups (1993) (352)
Billiards and Teichmüller curves on Hilbert modular surfaces (2003) (298)
Area and Hausdorff dimension of Julia sets of entire functions (1987) (256)
Complex Manifolds (1996) (243)
Families of Rational Maps and Iterative Root-Finding Algorithms (1987) (212)
Teichmüller curves in genus two: Discriminant and spin (2005) (193)
Quasiconformal Homeomorphisms and Dynamics III. The Teichmüller Space of a Holomorphic Dynamical System (1998) (182)
Dynamics on K3 Surfaces: Salem Numbers and Siegel Disks (2002) (178)
Hausdorff dimension and conformal dynamics, III: Computation of dimension (1998) (170)
Complex Earthquakes and Teichmuller Theory (1998) (164)
Dynamics of SL 2 ( R ) over moduli space in genus two (2003) (164)
The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology (2002) (149)
The moduli space of Riemann surfaces is Kähler hyperbolic (2000) (146)
Dynamics on blowups of the projective plane (2007) (146)
Self-similarity of Siegel disks and Hausdorff dimension of Julia sets (1998) (127)
Teichmüller curves in genus two: Torsion divisors and ratios of sines (2006) (125)
Dynamics of SL2(ℝ) Over Moduli Space in Genus Two (2007) (123)
Lipschitz maps and nets in Euclidean space (1998) (122)
Hausdorff dimension and conformal dynamics II: Geometrically finite rational maps (2000) (119)
Polynomial invariants for fibered 3-manifolds and Teichmüller geodesics for foliations (2000) (117)
Thermodynamics, dimension and the Weil–Petersson metric (2008) (115)
Prym Varieties and Teichmüller Curves (2006) (110)
Iteration on Teichmüller space (1990) (109)
Teichmüller geodesics of infinite complexity (2003) (103)
Cusps are dense (1991) (100)
Solving the quintic by iteration (1989) (99)
The Classification of Conformal Dynamical Systems (1995) (90)
Automorphisms of rational maps (1988) (88)
Gaps in √n mod 1 and ergodic theory (2004) (84)
Coxeter groups, Salem numbers and the Hilbert metric (2002) (84)
Amenability, Poincaré series and quasiconformal maps (1989) (83)
The Mandelbrot Set is Universal (2000) (83)
Braid groups and Hodge theory (2013) (80)
Winning Sets, Quasiconformal Maps and Diophantine Approximation (2010) (78)
Local connectivity, Kleinian groups and geodesics on the blowup of the torus (2001) (74)
Minkowski’s Conjecture, Well-Rounded Lattices and Topological Dimension (2005) (74)
Teichmüller curves in genus two: The decagon and beyond (2005) (66)
Automorphisms of even unimodular lattices and unramified Salem numbers (2002) (60)
$4$-manifolds with inequivalent symplectic forms and $3$-manifolds with inequivalent fibrations (1999) (60)
Hausdorff Dimension and Conformal Dynamics I: Strong Convergence of Kleinian Groups (1999) (58)
K3 surfaces, entropy and glue (2011) (58)
Foliations of Hilbert modular surfaces (2007) (53)
Frontiers in Complex Dynamics (1994) (52)
Geodesic planes in hyperbolic 3-manifolds (2016) (51)
Riemann surfaces and the geometrization of 3-manifolds (1992) (47)
Entropy and the clique polynomial (2015) (41)
Cubic curves and totally geodesic subvarieties of moduli space (2017) (41)
Trees and the dynamics of polynomials (2006) (41)
Moduli spaces of isoperiodic forms on Riemann surfaces (2014) (39)
From dynamics on surfaces to rational points on curves (1999) (37)
Braiding of the attractor and the failure of iterative algorithms (1988) (37)
The Gauss-Bonnet theorem for cone manifolds and volumes of moduli spaces (2017) (34)
Automorphisms of projective K3 surfaces with minimum entropy (2016) (34)
BIMEROMORPHIC AUTOMORPHISM GROUPS OF NON-PROJECTIVE HYPERKÄHLER MANIFOLDS — A NOTE INSPIRED BY (2007) (34)
Entropy on Riemann surfaces and the Jacobians of finite covers (2013) (32)
Rational Maps and Kleinian Groups (1991) (30)
Billiards, quadrilaterals and moduli spaces (2020) (30)
Complex Dynamics and Renormalization (AM-135), Volume 135 (1995) (30)
Navigating Moduli Space with Complex Twists (2013) (28)
Prime Implicants, Minimum Covers, and the Complexity of Logic Simplification (1986) (25)
Uniformly Diophantine numbers in a fixed real quadratic field (2009) (24)
Representing Boolean Functions with If-Then-Else DAGs (1988) (23)
Cascades in the Dynamics of Measured Foliations (2015) (22)
Rigidity of Teichmüller curves (2009) (21)
Horocycles in hyperbolic 3-manifolds (2016) (20)
Dynamics on the unit disk: Short geodesics and simple cycles (2010) (20)
Ribbon ℝ‐trees and holomorphic dynamics on the unit disk (2009) (17)
Geodesic planes in the convex core of an acylindrical 3-manifold (2018) (16)
The evolution of geometric structures on 3-manifolds (2011) (15)
Cyclotomic factors of Coxeter polynomials (2009) (15)
Knots which behave like the prime numbers (2013) (11)
Kleinian groups and john domains (1998) (11)
Conformal dynamics problem list (1990) (10)
Diophantine and ergodic foliations on surfaces (2013) (10)
Billiards and Hilbert Modular Surfaces (2003) (9)
MULTIPLE INTERSECTIONS ON NEGATIVELY CURVED SURFACES (1991) (9)
Comparisons and Conclusions (1984) (9)
A Compactification of the Space of Expanding Maps on the Circle (2009) (9)
Amenable coverings of complex manifolds and holomorphic probability measures (1992) (9)
Hausdorr Dimension and Conformal Dynamics Ii: Geometrically Nite Rational Maps (1998) (8)
Iteration on Teichm Uller Space (1994) (8)
Teichmüller dynamics and unique ergodicity via currents and Hodge theory (2019) (7)
Rigidity and Inflexibility in Conformal Dynamics (1998) (7)
Dynamics with small entropy on projective K 3 surfaces (2011) (7)
The Motion of the Maximal Measure of a Polynomial (1985) (6)
Rational maps and Teichm¨uller space (1994) (6)
Modular symbols for Teichmüller curves (2021) (6)
Billiards, heights, and the arithmetic of non-arithmetic groups (2022) (6)
Elder Siblings and the Taming of Hyperbolic 3-Manifolds (1998) (6)
Minimum length linear transistor arrays in MOS (1988) (6)
Polynomial Invariants for Bered 3-manifolds and Teichm Uller Geodesics for Foliations (1999) (5)
Complex Analysis on Riemann Surfaces (2007) (5)
Moduli Spaces in Genus Zero and Inversion of Power Series (2014) (5)
Problems in holomorphic dynamics (1992) (5)
On the postcritical set of a rational map (2017) (5)
Almost simple geodesics on the triply-punctured sphere (2017) (5)
Correction to “Gaps in n mod 1 and ergodic Theory” (2005) (4)
Hyperbolic manifolds, discrete groups and ergodic theory (1998) (4)
Billiards and Teichmüller curves (2022) (3)
Multiple-Valued Logic Minimization (1984) (3)
Rational maps and Teichmüller space Analogies and open problems (2003) (3)
Complex Projective Structures , Grafting , and Teichmüller Theory (2004) (3)
McMullen Navigating moduli space with complex twists (2013) (3)
The Spectral Geometry of Flat Disks (1990) (2)
Mixing , counting and equidistribution in (1995) (2)
3 Three-manifolds which fiber over the circle (1996) (2)
The work of Maryam Mirzakhani (2014) (2)
The Espresso-II Minimization Loop and Algorithms (1984) (1)
AUTOMORPHISM GROUPS OF GENERIC HYPERKÄHLER MANIFOLDS - A NOTE INSPIRED BY CURTIS T. MCMULLEN (2003) (1)
Dynamics on Algebraic Surfaces (2007) (1)
. " Sis: a System for Sequential Circuit Synthesis, " Report M92/41, A) Shallow Reconvergant Fanout A) Deep Reconvergant Fanout (1)
Chapter 11. Real quadratic polynomials (1995) (0)
Chapter 4. Holomorphic motions and the Mandelbrot set (1995) (0)
Decomposition and Unate Functions (1984) (0)
An Introduction to Toric Varieties submitted by Christopher Eur in partial fulfillment of the requirements for the degree of Bachelor of Arts with Honors (2015) (0)
Publications and Preprints (2016) (0)
Commensurations of out(Fn) . Dynamics on blowups of the projective plane . Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products . Homological projective duality . Sur les équations d'Halphen et les actions de SL[2](c) (2007) (0)
Geodesic planes in hyperbolic 3-manifolds (2016) (0)
Almost simple geodesics on the triply-punctured sphere (2019) (0)
Chapter 9. Robustness (1995) (0)
Chapter 6. Polynomials and external rays (1995) (0)
On the postcritical set of a rational map (2018) (0)
Teichmiiller geodesics of infinite (2006) (0)
Braid groups and Hodge theory (2012) (0)
Foliations of Hilbert Modular Surfaces The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters (2010) (0)
Chapter 2. Background in conformal geometry (1995) (0)
Seminar Outline Dynamics and geometry (2007) (0)
Chapter 7. Renormalization (1995) (0)
4 Quadratic maps and renormalization (1996) (0)
Teichmuller Theory Notes (2005) (0)
8 Asymptotic structure in the Julia set (1996) (0)
Chapter 10. Limits of renormalization (1995) (0)
Teichmüller Geodesics of Infinite Complexity Please share how this access benefits you. Your story matters (2010) (0)
HAUSDORFF DIMENSION AND CONFORMAL DYNAMICS I: STRONG C O N V E R G E N CE OF KLEINIAN G R O U PS (2008) (0)
7 Fixed points of renormalization (1996) (0)
Horocycles in hyperbolic 3-manifolds (2016) (0)
Automorphisms of projective K3 surfaces with minimum entropy (2015) (0)
Solving the Quintic by Iteration The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters (2006) (0)
Erratum (1998) (0)
2 The Mandelbrot set is universal (1997) (0)
Chapter 8. Puzzles and infinite renormalization (1995) (0)
Appendix A. Quasiconformal maps and flows (1996) (0)
Chapter 3. Dynamics of rational maps (1995) (0)
Griffiths and Harris, Principles of Algebraic Geometry, Wiley Also recommended: Cornalba et al, Lectures on Riemann Surfaces, World Scientific Griffiths, Lectures on Algebraic Curves, AMS (2007) (0)
Appendix B. A closing lemma for rational maps (1995) (0)
The Classification of Conformal Dynamical Systems how this access benefits you. Your story matters (2010) (0)
Seminar Outline (2007) (0)
Rational Maps and \(Teichm\ddot{u}ller\) Space (1994) (0)
Appendix B Visual extension (1996) (0)
6 Rigidity of towers (1996) (0)
A Multiple-level Logic Optimization System. Ieee Transactions on Com- Karon] Kevin Karplus. Using If-then-else Dags for Multi-levellogic Minimization. Ieee Trans- Actions on Computer-aided Design of Integrated Circuits and Systems, in Preparation. Km90] Kevin Karplus and Dipen Moitra. Using Dominato (1989) (0)
Entropy and the clique polynomial The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters (2014) (0)
Chapter 5. Compactness in holomorphic dynamics (1995) (0)
Appendix A. Orbifolds (1995) (0)
2 Rigidity of hyperbolic manifolds (1996) (0)
Topics in Geometry and Dynamics Problems (2015) (0)
9 Geometric limits in dynamics (1996) (0)

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