** Russell Lodge **

Department of Mathematics

- Office: Math Tower 3-114
- CV

#### 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:

*Puzzles and the Fatou-Shishikura injection for rational Newton maps*, with K. Drach, D. Schleicher, M. Sowinski

*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*