Clark Butler
University of Chicago Department of Mathematics
5734 University Avenue
Chicago, IL 60637-1514
USA
Office: TAAC 26
E-mail:
cbutler@math.uchicago.edu
My advisor:
Amie Wilkinson
Curriculum Vitae
My CV
Papers
Characterizing symmetric spaces by their Lyapunov spectra
preprint.
Uniformly quasiconformal partially hyperbolic systems
with Disheng Xu, 2016,
Ann. Sci. Ec. Norm. Super.
, to appear.
Continuity of measurable invariant conformal structures for linear cocycles over hyperbolic systems
2015,
Israel J. Math
, to appear.
Discontinuity of Lyapunov exponents near fiber bunched cocycles
2015,
Ergodic Theory Dynam. Systems
, to appear.
Continuity of Lyapunov exponents for cocycles with invariant holonomies
with Lucas Backes and Aaron Brown, 2015, submitted.
Rigidity of equality of Lyapunov exponents for geodesic flows
2015,
J. Diff. Geo
, to appear.
Undergrad Papers
On the subject of knot and graph polynomials:
A quasi-tree expansion of the Krushkal polynomial
2016,
Adv. Appl. Math
, to appear.
Arrow Ribbon Graphs
with Rob Bradford and Sergei Chmutov, 2012,
J. Knot Theory Ramifications
Vol. 21, No. 13, 16 pp.
Bollobas-Riordan and relative Tutte polynomials
with Sergei Chmutov, 2015,
Arnold Math J.
Vol. 1, No. 3, 283 - 298.
Expository
The Lyapunov spectrum and conformality as sources of rigidity
Slides for my half of a minicourse I co-taught with Victoria Sadovskaya at Beyond Uniform Hyperbolicity 2017.
Thermodynamic Formalism Notes
A course co-taught by Danny Calegari and Amie Wilkinson at University of Chicago during Fall 2014. My notes for the 2nd half of the course are available at the link.
Rigidity Theory Seminar
Summer 2013.
Covered multiple proofs of the Mostow rigidity theorem.