Binghamton University
Department of Mathematical Sciences

Russell Ricks

Office: 202 Whitney Hall
Email: ricks (at math dot binghamton dot edu)

I received my Ph.D. from the University of Michigan in 2015. My advisor was Ralf Spatzier.

Curriculum Vitae

Here is my CV.

Research

I am interested in the geometry and dynamics of CAT(0) spaces.

See my research statement for a more detailed explanation. (This document is a little old and does not reflect some of my most recent papers, however.)

Submitted Papers

"Counting closed geodesics in compact rank one locally CAT(0) spaces," preprint.
"The unique measure of maximal entropy for a compact rank one locally CAT(0) space," preprint.
"Closed subsets of a CAT(0) 2-complex are intrinsically CAT(0)," preprint.
"Planar CAT(k) subspaces," preprint.
"Extending a rigidity result of Lytchak," preprint.

Accepted Papers

"Asymptotic cones and boundaries of CAT(0) groups," with Curtis Kent, Indiana Univ. Math. J. (to appear), preprint.
"Boundary conditions detecting product splittings of CAT(0) spaces," Groups, Geom. Dyn. (to appear), preprint.

Published Papers

"A rank rigidity result for CAT(0) spaces with one-dimensional Tits boundaries," Forum Math. 31 (2019), no. 5, 1317–1330, link.
"Flat strips, Bowen-Margulis measures, and mixing of the geodesic flow for rank one CAT(0) spaces," Ergodic Theory Dynam. Systems 37 (2017), no. 3, 939–970, link.
"LLL reduction and a conjecture of Gunnells," with Darren Doud, Proc. Amer. Math. Soc. 138 (2010), no. 2, 409–415, link.

Ph.D. Thesis

One of the above papers was a major rewriting of my Ph.D. thesis, with more general results than the original thesis. Here is my Ph.D. thesis:

"Flat strips, Bowen-Margulis measures, and mixing of the geodesic flow for rank one CAT(0) spaces," Ph.D. Thesis, University of Michigan, 2015, link.

Teaching

I am no longer teaching at Binghamton University. But here is my teaching statement, in case you are interested.