Roland Roeder

Contact Information

Office:	LD270Q, Phone: (317) 274-6924, Fax: (317) 274-3460
Mailing address:	IUPUI Department of Mathematical Sciences LD Building, Room 224Q 402 North Blackford Street Indianapolis, Indiana 46202-3267
Email:	rroeder "at" math.iupui.edu

Pavel M. Bleher, Youkow Homma, Lyndon L. Ji, Roland K. W. Roeder, and Jeffrey Shen Nearest Neighbor Distances on a Circle: Multidimensional Case. Journal of Statistical Physics, 146(2): 446-465, 2012.
Roland K. W. Roeder. A dichotomy for Fatou components of polynomial skew products. Conformal Geometry and Dynamics, 15: 7-19, 2011.
Suzanne Lynch Hruska and Roland K. W. Roeder. Topology of Fatou components for endomorphisms of CP^k: Linking with the Green's current. Fundamenta Mathematicae, 210(1): 73-98, 2010.
Enrique R. Pujals and Roland K. W. Roeder. Two Dimensional Blaschke Products: Degree Growth and Ergodic Consequences. Indiana University Mathematics Journal, 59(1): 301-326, 2010.
Omar Antolin-Camarena, Gregory R. Maloney, and Roland K.W. Roeder. Computing arithmetic invariants for hyperbolic reflection groups, In Complex Dynamics: Families and Friends (D. Schleicher editor) pages 597-631, A.K. Peters, 2008.
(See SNAP-HEDRON PARI/GP computer scripts.)
Roland K.W. Roeder Constructing hyperbolic polyhedra using Newton's Method Experimental Mathematics, 16(4): 463-492, 2007.

Roland K.W. Roeder, John H. Hubbard, William D. Dunbar. Andreev's Theorem on Hyperbolic Polyhedra, les Annales de l'Institut Fourier, 57(3): 825-882, 2007.
Roland K.W. Roeder Topology for the basins of attraction of Newton's Method in two complex variables: linking with currents J. Geometric Analysis. 17 (1): pp. 107-146, March 2007.
Roland K.W. Roeder Compact hyperbolic tetrahedra with non-obtuse dihedral angles. Publicacions Matematiques, 50 (1): 211-227, 2006 .
T.E. Evans, R.K.W. Roeder, J.A. Carter, and B.I. Rapoport Homoclinic Tangles, bifurcations and edge stochasticity in diverted tokamaks Contributions to Plasma Physics, 44 (1-3): 235-240, 2004.
R.K.W. Roeder, B.I. Rapoport, and T.E. Evans Explicit calculations of homoclinic tangles in tokamaks. Physics of Plasmas, 10 (9): 3796-3799, 2003.
Roland K.W. Roeder On Poincare's fourth and fifth examples of limit cycles at infinity, Rocky Mountain Journal of Mathematics, 33 (3): 1057-1082, 2003.

T.E. Evans, R.K.W. Roeder, J.A. Carter, et al. Experimental signatures of homoclinic tangles in poloidally diverted tokamaks Journal of Physics: Conference Series 7 (2005) 174-190.
J. Mahaffy, S. W. Polk, R.K.W. Roeder An age-structured model for erythropoiesis following a phlebotomy. CRM technical report number CRM-2598, 1999.

Roland K.W. Roeder Topology for the basins of attraction of Newton's Method in two complex variables Ph.D. Thesis, Cornell University, Aug 2005.
Roland K. W. Roeder Le Theorem d'Andreev sur polyedres hyperboliques (Andreev's Theorem on Hyperbolic polyhedra, in English) , Doctoral Thesis, Universite de Provence, Marseille France. Defended May, 2004.

Chapter 14, titled: Andreev's Theorem. in: Teichmuller Theory and Applications to Geometry, Topology, and Dynamics. Volume II: Four Theorems by William Thurston by John H. Hubbard with contributions by Adrien Douady, William Dunbar, and Roland Roeder, as well as Sylvain Bonnot, David Brown, Allen Hatcher, Chris Hruska, and Sudeb Mitra. In preparation to be published by Matrix Editions, see http://matrixeditions.com/TeichmullerVol2.html.
Teichmuller Theory and Applications to Geometry, Topology, and Dynamics. Volume I: Teichmuller Theory by John H. Hubbard with contributions by Adrien Douady, William Dunbar, and Roland Roeder, as well as Sylvain Bonnot, David Brown, Allen Hatcher, Chris Hruska, and Sudeb Mitra. Published by Matrix Editions (2006), see http://matrixeditions.com/TeichmullerVol1.html.

Assistant Professor, Department of Mathematical Sciences, IUPUI http://www.math.iupui.edu/, 2009-present.
Lecturer, The Institute for Mathematical Sciences, Stony Brook University http://www.math.sunysb.edu/html/ims.shtml, 2008-2009.
Postdoctoral Fellow - University of Toronto http://www.math.utoronto.ca, 2006-2008.
Jerrold E. Marsden Postdoctoral Fellow - Fields Institute http://fields.utoronto.ca, 2005-2006.
Ph.D. - Cornell University http://www.math.cornell.edu, 2005.
Docteur de Mathematiques - Universite de Provence, Aix-Marseille http://www.up.univ-mrs.fr/document.php?project=cmi, 2004.
B.A. Math - University of California, San Diego http://www.math.ucsd.edu/, 2000.

Last updated: Jan 3rd, 2012.