Russell Lodge

Department of Mathematics


Research:

I am currently a postdoc at Jacobs University in Bremen, Germany. 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:

  • Quadratic nearly Euclidean Thurston maps, with G. Kelsey, in preparation
  • Origami, affine maps, and complex dynamics, with W. Floyd, G. Kelsey, S. Koch, W. Parry, K. Pilgrim, and E. A. Saenz Maldonado, in preparation
  • A classification of postcritically finite Newton maps, with Y. Mikulich and D. Schleicher, preprint
  • Combinatorial properties of Newton maps, with Y. Mikulich and D. Schleicher, preprint
  • Boundary values of the Thurston pullback map Conform. Geom. Dyn. 17 (2013)
  • Thesis
  • Teaching:

    Undergraduate Seminar / Perspectives (Module II)
    Undergraduate Seminar / Perspectives (Module I)
    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
    Beyond the twisted rabbit


    Last updated Apr 7, 2016