ÿþ<html> <head> <title> Laura DeMarco </title> </head> <img src="2012RI.jpg" WIDTH="400px" align=right> <b> Laura DeMarco </b> <p> <b> Email: </b> demarco at math.uic.edu </p> <p> Associate Professor <br> <a href="http://www.math.uic.edu/">Department of Mathematics, Statistics, and Computer Science</a> <br> University of Illinois at Chicago <br> 851 S. Morgan St. (MC 249) <br> Chicago, IL 60607-7045 </p> <p> <b> Office: </b> SEO 501 <br> <b> Phone: </b> (312) 413-7691 </p> <!-- <p> <b> Teaching, Fall 2011: </b> <br> Calculus 1 <a href="http://www.math.uic.edu/~demarco/math180/">MATH 180</a>, MWF 1 pm, Lecture Center F4 <br> Complex Manifolds 1 <a href="http://www.math.uic.edu/~demarco/math554/">MATH 554</a>, MWF 2 pm, Taft Hall 321 </p> --> <p> <b> Primary research interests: </b> Dynamical systems and complex analysis <br> <a href="CV.pdf">CV</a> <br> </p> <p> <b> Publications </b> </p> <ul> <p> "Special curves and post-critically finite polynomials," with M. Baker. <br> In preparation, 2012. </p> <p> "The geometry of the critically-periodic curves in the space of cubic polynomials," with A. Schiff. <br> Submitted for publication, 2011. <a href="euler.pdf">pdf</a> </p> <p> "The classification of polynomial basins of infinity," with K. Pilgrim. <br> Submitted for publication, 2011. <a href="combinatorics.pdf">pdf</a> </p> <p> "Combinatorics and topology of the shift locus." <br> To appear, in <i>Conformal Dynamics and Hyperbolic Geometry,</i> AMS Contemporary Mathematics. <br> Volume in honor of Linda Keen's birthday. Preprint, 2011. <a href="KeenProceedings.pdf">pdf</a> </p> <p> "The conformal geometry of billiards," <a href="billiards_BAMS.pdf">pdf</a> <br> <i>Bulletin of the AMS.</i> <b>48</b> (2011), no. 1, 33-52. </p> <p> "Critical heights on the moduli space of polynomials," with K. Pilgrim. <br> <i>Advances in Mathematics</i>. <b>226</b> (2011) 350-372. <a href="criticalheights.pdf">pdf</a> </p> <p> "Preperiodic points and unlikely intersections," with M. Baker. <br> <i>Duke Math. Journal.</i> <b>159</b> (2011), no. 1, 1-29. <a href="preperiodic.pdf">pdf</a> </p> <p> "Polynomial basins of infinity," with K. Pilgrim. <br> <i> Geom. Funct. Anal.</i> <b>21</b> (2011), no. 4, 920-950. <a href="basins.pdf">pdf</a> </p> <p> "Hausdorffization and polynomial twists," with K. Pilgrim. <br> <i> Discrete Contin. Dyn. Sys.</i> <b>29</b> (2011), no. 4, 1405-1417. <br> Special issue, Trends and developments in dynamical systems, Part III. <a href="hausdorff.pdf">pdf</a> </p> <p> "Enumerating the basins of infinity for cubic polynomials," with A. Schiff. <br> <i>J. Difference Equ. Appl.</i> <b>16</b> (2010) 451-461.<br> Special issue dedicated to Robert L. Devaney. <a href="count.pdf">pdf</a> </p> <p> "Axiom A polynomial skew products of C^2 and their postcritical sets," with S. Lynch Hruska. <br> <i> Ergodic Theory Dynam. Systems.</i> <b>28</b> (2008) 1729-1748. <a href="skew.pdf">pdf</a>, <a href="correction.pdf">Erratum</a> </p> <p> "Trees and the dynamics of polynomials," with C. McMullen. <br> <i>Ann. Sci. Ecole Norm. Sup.</i> <b>41</b> (2008) 337-383. <a href="trees.pdf">pdf</a> </p> <p> "Finiteness for degenerate polynomials." <br> <i> Holomorphic Dynamics and Renormalization: A Volume in Honour of J. Milnor's 75th birthday. </i> <br> Fields Institute Communications, AMS, <b>53</b> (2008) 89-104. <a href="mpoly.pdf">pdf</a> </p> <p> "Transfinite diameter and the resultant," with R. Rumely. <br> <i> J. Reine Angew. Math. </i> <b>611</b> (2007) 145-161. <a href= "transdiam.pdf">pdf</a> </p> <p> "The moduli space of quadratic rational maps." <br> <i> Journal of the AMS</i>. <b>20</b> (2007) 321-355. <A HREF="M2.pdf">pdf</A>. </p> <p> "Iteration at the boundary of the space of rational maps." <br> <i> Duke Math. Journal</i>. <b>130</b> (2005) 169-197. <A HREF="measures.pdf">pdf</A>. </p> <p> "Dimension of pluriharmonic measure and polynomial endomorphisms of C^n," with Ilia Binder. <br> <i> International Math. Research Notices</i>. <b>11</b> (2003) 613-625. <A HREF="IMRN.pdf">pdf</A>. </p> <p> "Dynamics of rational maps: Lyapunov exponents, bifurcations, and metrics on the sphere." <br> <i>Mathematische Annalen</i>. <b>326</b> (2003) 43-73. <A HREF="lyap.pdf">pdf</A>. </p> <p> "Dynamics of rational maps: a positive current on the bifurcation locus." <br> <i>Math. Research Letters</i>. <b>8</b> (2001) 57-66. <A HREF="stable.pdf">pdf</A>. </p> <p> "Stability of H, D, and N atoms in solid ammonia above 100K," with A. Brill and D. Crabb. <br> <i>J. Chem. Phys.</i>, <b>108</b> (1998) 1423-1428. </p> </ul> <p> <b> From graduate school </b> <br> </p> <ul> <p> Holomorphic families of rational maps: dynamics, geometry, and potential theory <br> Ph.D. thesis, Harvard University, 2002. <A HREF="thesis.pdf">pdf</A> </p> <p> "Riemannian symmetric spaces and bounded domains in C^n." <br> Minor thesis, Harvard University, 1999. <A HREF="symm.pdf">pdf</A> </p> </ul> <p> </p> <p> </p> </html>