# 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.