Email: demarco at math.uic.edu

Department of Mathematics
University of Illinois at Chicago
851 S. Morgan St.
Chicago, IL 60607-7045

Office: SEO 501
Phone: (312) 413-7691

Primary research interests: Dynamical systems and complex analysis

Papers and preprints

"Axiom A polynomial skew products of C^2 and their postcritical sets," with S. Hruska.
To appear, Ergodic Theory Dynam. Systems. pdf

"Trees and the dynamics of polynomials," with C. McMullen.
To appear, Ann. Sci. Ecole Norm. Sup. pdf

"Finiteness for degenerate polynomials."
To appear, Fields Institute Communications, in honor of J. Milnor's 75th birthday. pdf

"Transfinite diameter and the resultant," with R. Rumely.
J. Reine Angew. Math. 611 (2007) 145--161. pdf

"The moduli space of quadratic rational maps."
Journal of the AMS, 20 (2007) 321-355. pdf.

"Iteration at the boundary of the space of rational maps."
Duke Math. Journal, 130 (2005) 169-197. pdf.

"Dimension of pluriharmonic measure and polynomial endomorphisms of C^n," with Ilia Binder.
International Math. Research Notices, 11 (2003) 613-625. pdf.

"Dynamics of rational maps: Lyapunov exponents, bifurcations, and metrics on the sphere."
Mathematische Annalen, 326 (2003) 43-73. pdf.

"Dynamics of rational maps: a positive current on the bifurcation locus."
Math. Research Letters, 8 (2001) 57-66. pdf.

"Stability of H, D, and N atoms in solid ammonia above 100K," with A. Brill and D. Crabb.
J. Chem. Phys., 108 (1998) 1423-1428.

Ph.D. Thesis:
Holomorphic families of rational maps: dynamics, geometry, and potential theory
Harvard University, 2002.