Papers for Sarah C. Koch
Papers
Eigenvalues of the Thurston pullback map (with X. Buff and A. Epstein)
In preparation, 2013.
Computing dynamical degrees for a family of maps on the Deligne-Mumford
compactification of M_{0,n} (with R. Roeder)
In preparation, 2013.
Pullback invariants of Thurston maps (with K. Pilgrim and N.
Selinger)
Submitted, 2013.
An analytic construction of the Deligne-Mumford compactification of the moduli space of
curves
(with J. H. Hubbard)
Submitted, 2011.
Teichmüller theory and critically finite endomorphisms
To appear in Advances in Mathematics
Böttcher coordinates (with X. Buff and A. Epstein)
To appear in the Indiana University Mathematics Journal
Twisted matings and equipotential gluings (with X.
Buff
and A. Epstein)
to appear in Annales de la Facultè des Sciences de Toulouse.
Questions about polynomial matings (with X.
Buff, A. Epstein, D. Meyer, K. Pilgrim, M. Rees, and Tan Lei)
to appear in Annales de la Facultè des Sciences de Toulouse.
On a Theorem of Kas and Schlessinger (with O. Antolín-Camarena)
Quasiconformal Mappings, Riemann Surfaces, and Teichmüller Spaces.
Contemporary Mathematics, 575. American Mathematical Society, 2012.
Iterated monodromy for a two-dimensional map (with J. Belk)
In the tradition of Ahlfors-Bers V.
Contemporary Mathematics, 510. American Mathematical Society, 2010.
On Thurston's Pullback Map (with X. Buff, A. Epstein and K. Pilgrim)
Complex Dynamics, Families and Friends, 561-583, AK Peters, Wellesley, MA, 2009.
SaddleDrop: a tool for studying dynamics in $\C^2$
Teichmüller theory and moduli problems, 465-479, Ramanujan Math. Soc. Lect. Notes Ser., 10, Ramanujan Math.
Soc., 2010.
PhD Theses
A new link between Teichmüller theory and complex dynamics, Cornell University, 2008.
Teichmüller theory and applications to endomorphisms of $\P^n$, Université de Provence,
2007.