Grants per year

## 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

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## Grants 2014 2022

## Subproject for Institution # SP0051675 Participant Costs for NSF grant

8/1/19 → 7/31/21

Project: Research project

## Analysis on Manifolds

DeMarco, L. G., Getzler, E., Naber, A. C., Weinkove, B. & Wunsch, J.

7/1/15 → 6/30/20

Project: Research project

## Research Output 1998 2019

## 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 journal › Article

## 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 journal › Article

## 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 journal › Article

## 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 journal › Article

## 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 journal › Article