Roland Roeder

Contact Information

Office:	Bahen Center 6107,
Mailing address:	Department of Mathematics, University of Toronto Toronto, Ontario, Canada M5S 2E4
Email:

Pavel Bleher, Mikhail Lyubich, and Roland K. W. Roeder. Complex dynamics for the Yang-Lee zeros.
Please see my research statement, Section 1.1, for a partial description.
Suzanne Lynch Hruska and Roland K. W. Roeder. Topology of Fatou components for polynomial skew products of P2.
Please see my research statement, Section 1.2, for a partial description.

Omar Antolin-Camarena, Gregory R. Maloney, and Roland K.W. Roeder. Computing arithmetic invariants for hyperbolic reflection groups, Accepted for publication in a volume commemorating J. H. Hubbard's 60th birthday.

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 Matemàtiques, 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: Teichm¨uller 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.

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: Dec 20, 2007