Russell Lodge

Department of Mathematics


About me:

I am a Milnor lecturer at the Institute for Mathematical Sciences, Stony Brook University. My research interests include complex dynamics, Teichmüller space, self-similar groups, and Thurston's theorem for postcritically finite rational maps. My doctoral thesis was written under the supervision of Kevin Pilgrim at Indiana University.

Papers:

  • Invisible tricorns in real slices of rational maps, with S. Mukherjee
  • Quadratic Thurston maps with few postcritical points, with G. Kelsey
  • Origami, affine maps, and complex dynamics, with W. Floyd, G. Kelsey, S. Koch, W. Parry, K. Pilgrim, and E. Saenz, Arnold Math J. 3(3) (2017), 365-395
      (NETmap software available here)
  • A classification of postcritically finite Newton maps, with Y. Mikulich and D. Schleicher
  • Combinatorial properties of Newton maps, with Y. Mikulich and D. Schleicher
  • Boundary values of the Thurston pullback map Conform. Geom. Dyn. 17 (2013), 77-118
  • Thesis
  • Teaching:

    Geometric structures--Spring 2018
    Multivariable calculus with linear algebra--Fall 2017
    Logic, language and proof--Spring 2017
    Introduction to linear algebra--Fall 2016
    Undergraduate seminar / Perspectives--Spring 2016
    ESM 2B-Linear algebra, Fourier, probability--Spring 2015
    ESM 1B-Multivariable calculus, ODE--Fall 2014
    Introductory Complex analysis--Fall 2013
    General Mathematics and computational science II--Spring 2013
    Perspectives of mathematics--Fall 2012

    Slides:

    Boundary values of Thurston's pullback map
    Classification of postcritically finite Newton maps

    Last updated Oct 19, 2017