** Russell Lodge **

Department of Mathematics and Computer Science

- Office: Root Hall A-128
- CV

#### 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.

#### 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*

#### Recent teaching:

ISU:

MATH 410/510 Introduction to Analysis--Fall 2018

MATH 132 Calculus II--Fall 2018

Stony Brook University:

Geometric structures--Spring 2018

Multivariable calculus with linear algebra--Fall 2017

Logic, language and proof--Spring 2017

Introduction to linear algebra--Fall 2016

Jacobs University:

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 Aug 28, 2018*