Email: demarco at math.uic.edu

Associate Professor
Department of Mathematics, Statistics, and Computer Science
University of Illinois at Chicago
851 S. Morgan St. (MC 249)
Chicago, IL 60607-7045

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

Teaching, Spring 2010: Math 546, Topics in analysis (complex dynamical systems)
Schedule changed to MWF, 10 am. Details will be posted soon!

Primary research interests: Dynamical systems and complex analysis
CV

Publications

"Preperiodic points and unlikely intersections," with M. Baker.
Preprint, November 2009. pdf

"Escape combinatorics for polynomial dynamics," with K. Pilgrim.
In preparation. Draft available upon request.

"Critical heights on the moduli space of polynomials," with K. Pilgrim.
In preparation. Draft available upon request.

"Hausdorffization and polynomial twists," with K. Pilgrim.
Preprint, October 2009. pdf

"Polynomial basins of infinity," with K. Pilgrim.
Preprint, July 2009. pdf

"Enumerating the basins of infinity for cubic polynomials," with A. Schiff.
To appear, Special Volume of Journal of Difference Equations and Applications, in honor of Robert Devaney. pdf

"Axiom A polynomial skew products of C^2 and their postcritical sets," with S. Hruska.
Ergodic Theory Dynam. Systems. 28 (2008) 1729-1748. pdf, Corrections (Sept 2009)

"Trees and the dynamics of polynomials," with C. McMullen.
Ann. Sci. Ecole Norm. Sup. 41 (2008) 337-383. pdf

"Finiteness for degenerate polynomials."
Holomorphic Dynamics and Renormalization: A Volume in Honour of J. Milnor's 75th birthday.
Fields Institute Communications, AMS, 2008, pp.89-104. 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.