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
Teaching: Math 535
Primary research interests: Dynamical systems and complex analysis
CV
Publications
"Polynomial basins of infinity," with K. Pilgrim.
Preprint, June 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
"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.