Papers for Sarah C. Koch
Realizing Thurston matrices
(with X. Buff, W. Floyd, and W. Parry)
In preparation, 2024.
Algebraic conspiracies
(with X. Buff and A. Epstein)
In preparation, 2024.
Trees and degenerate rational maps
(with X. Buff and R. Ramadas)
In preparation, 2024.
Totally real points in the Mandelbrot set
(with X. Buff)
Submitted, 2023.
On the deck groups of iterates of bicritical rational maps
(with K. Lindsey and T. Sharland)
Submitted, 2023.
Realizing polynomial portraits
(with W. Floyd, D. Kim, W. Parry, and E. Saenz)
Submitted, 2023.
Bicritical rational maps with a common iterate
(with K. Lindsey and T. Sharland)
International Mathematics Research Notices
Vol. 2024, 2023.
Factoring Gleason polyonimal modulo 2
(with X. Buff, W. Floyd, and W. Parry)
Journal de Théorie des Nombres de Bordeaux
Vol. 34, 2022.
Prefixed curves in moduli space
(with X. Buff and A. Epstein)
American Journal of Mathematics
Vol. 144, 2022.
Eigenvalues of the Thurston operator
(with X. Buff and A. Epstein)
Journal of Topology
Vol. 13, 2020.
On the postcritical set of a rational map (with L.
DeMarco and C. McMullen)
Mathematische Annalen
Vol. 377, 2020.
On balanced planar graphs, following W. Thurston (with Tan Lei)
Submitted to the Thurston Memorial Conference Proceedings, 2015.
Origami, affine maps, and complex dynamics
(with W. Floyd, G. Kelsey, R. Lodge, W. Parry, K. Pilgrim, and E. Saenz)
Arnold Mathematical Journal
Vol. 3, 2017.
A disconnected deformation space of rational maps (with E.
Hironaka)
Journal of Modern Dynamics
Vol. 11, 2017.
Roots, Schottky Semigroups, and a proof of
Bandt's
conjecture (with D. Calegari and A. Walker)
Ergodic Theory and Dynamical Systems
Vol. 37, 2017.
Computing dynamical degrees of maps on
moduli space (with R. Roeder)
Ergodic Theory and Dynamical Systems
Vol. 36, 2016.
Pullback invariants of Thurston maps (with K.
Pilgrim and N.
Selinger)
Transactions of the American Mathematical Society
Vol. 368, No. 7, 2016.
An analytic construction of the Deligne-Mumford compactification of the moduli space of
curves
(with J. H. Hubbard)
Journal of Differential Geometry
Vol. 98, No. 2, 2014.
Teichmüller theory and critically finite endomorphisms
Advances in Mathematics
Vol. 248, 2013.
Böttcher coordinates (with X. Buff and A. Epstein)
Indiana University Mathematics Journal
Vol. 61, No. 5 2012.
Twisted matings and equipotential gluings (with X.
Buff
and A. Epstein)
Annales de la faculté des sciences de Toulouse
Sér. 6 Vol. 21 No. S5 2012.
Questions about polynomial matings (with X.
Buff, A. Epstein, D. Meyer, K. Pilgrim, M. Rees, and Tan Lei)
Annales de la faculté des sciences de Toulouse
Sér. 6 Vol. 21 No. S5 2012.
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.