Samuel Dodds

I am a PhD candidate in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois at Chicago, advised by Alexander Furman. My principle research interests lie in the intersection of Ergodic Theory and Geometric Group Theory. In particular, the asymptotic and geometric properties of subgroups of Lie groups and random walks on subgroups of Lie groups. I have proven various results about the entropy of stationary dynamical systems, and the factorizability of such systems, which occur in the context of Gromov hyperbolic groups. Here's a copy of my CV.

Research

• On the Lattice of Boundaries and the Entropy Spectrum of Hyperbolic Groups, preprint.
  
• Quotients of Poisson Boundaries, Entropy, and Spectral Gap, Alexander Furman, in preparation.
  

Current Teaching

• Math 121 - Precalculus: Tuesdays and Thursdays, 8 - 8:50 am and 10 - 10:50 am
• Math 180 - Calc I: Tuesdays and Thursdays 1-1:50pm

Office Hours: Tuesdays and Thursdays 9-10 am

Organizing

• 2018 Graduate Student Geometry and Topology Conference
  - An annual conference for graduate students in topology and geometry to present their work to their peers. Co-organized with Janis Lazovskis, Nathan Lopez, Christoper Perez, and Keaton Quinn, with oversight by David Dumas.

• Graduate Geometry, Topology, and Dynamics Seminar at UIC
  - I was the principal organizer from Fall 2019 to Spring 2022

Previous Teaching

• Math 121 - Precalculus
• Math 165 - Calculus for Business
• Math 180 - Calculus I
• Math 181 - Calculus II
• Math 210 - Calculus III
• Emerging Scholars Program: Calculus I, Calculus II

Outreach

• I have also worked as an instructor for Math Circles of Chicago since 2017, including QED Math Fair judging.
• I have been an assistant for the UIC Mathematics Olypiad Program
• In the summer of 2022, I was an instructor for the Young Scholars Program .