• 294 Citations
19982022
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Personal profile

Research Interests

Dynamical systems, complex analysis, and arithmetic geometry, focused on the dynamics of rational maps and their moduli spaces, studied with a combination of complex-analytical and algebraic techniques.

Education/Academic qualification

Mathematics, PhD, Harvard University

… → 2002

Mathematics, MA, University of California, Berkeley

… → 1998

Mathematics and Physics, BA, University of Virginia

… → 1996

Fingerprint Dive into the research topics where Laura Grace DeMarco is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 4 Similar Profiles
Rational Maps Mathematics
Polynomial Mathematics
Moduli Space Mathematics
Bifurcation Mathematics
Dynamical system Mathematics
Infinity Mathematics
Quadratic Map Mathematics
Topological Conjugacy Mathematics

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Grants 2014 2022

Complex Dynamics
Canonical Height
Dynamical system
Number theory
Elliptic Curves
Costs
Canonical Height
Dynamical system
Number theory
Elliptic Curves
Dynamical system
Percent
Afternoon
Cover
Electrical Engineering
Dynamical system
Costs
Percent
Afternoon
Cover
Differential Geometry
Stochastic Geometry
Riemannian geometry
Spectral Theory
Complex Geometry

Research Output 1998 2019

  • 294 Citations
  • 29 Article
  • 1 Conference contribution
  • 1 Comment/debate
1 Citation (Scopus)

Bounded Height in Families of Dynamical Systems

DeMarco, L. G., Ghioca, D., Krieger, H., Dang Nguyen, K., Tucker, T. & Ye, H., Jan 1 2019, In : International Mathematics Research Notices. 2019, 8, p. 2453-2482 30 p.

Research output: Contribution to journalArticle

Dynamical system
Algebraic integer
Polynomial
Family

Rationality of dynamical canonical height

DeMarco, L. G. & Ghioca, D., Sep 1 2019, In : Ergodic Theory and Dynamical Systems. 39, 9, p. 2507-2540 34 p.

Research output: Contribution to journalArticle

Canonical Height
Rationality
Quadratic Map
Function Fields
Orbits

Discontinuity of a degenerating escape rate

Demarco, L. & Okuyama, Y., Jan 1 2018, In : Conformal Geometry and Dynamics. 22, 3, p. 33-44 12 p.

Research output: Contribution to journalArticle

Escape Rate
Discontinuity
Rational Maps
Polynomial
Meromorphic
1 Citation (Scopus)

On the postcritical set of a rational map

DeMarco, L. G., Koch, S. C. & McMullen, C. T., Jan 1 2018, (Accepted/In press) In : Mathematische Annalen.

Research output: Contribution to journalArticle

Rational Maps
Finite Set
Small Perturbations
Critical value
Iteration

Convex Shapes and Harmonic Caps

DeMarco, L. G. & Lindsey, K., Apr 1 2017, In : Arnold Mathematical Journal. 3, 1, p. 97-117 21 p.

Research output: Contribution to journalArticle

Harmonic
Curvature
Harmonic Measure
Positive Curvature
Julia set