Russell Lodge

Department of Mathematics and CS


About me:

I am an assistant professor in the Department of Math and Computer Science at Indiana State 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. I completed postdoctoral work at Jacobs University and the Institute for Mathematical Sciences.

Papers:

  • On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections, with M. Lyubich, S. Merenkov, S. Mukherjee
  • Puzzles and the Fatou-Shishikura injection for rational Newton maps , with K. Drach, D. Schleicher, and M. Sowinski
  • Invisible tricorns in real slices of rational maps, with S. Mukherjee
  • Quadratic Thurston maps with few postcritical points, with G. Kelsey, Geom Dedicata (2019) 201: 33.
  • 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
  • Spring 2020 teaching:

    MATH 131 Calculus I
    MATH 313 Elementary Linear Algebra

    Slides:

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

    Last updated Jan 3, 2020