Clayton Petsche
Associate Professor
Department of Mathematics
Clayton Petsche
Associate Professor
Department of Mathematics
Biography
Before joining Oregon State University in 2011, Clayton Petsche held positions at the University of Georgia, the CUNY Graduate Center, and Hunter College.
Research
Clayton Petsche's research includes the study of algebraic and arithmetic dynamical systems on varieties and analytic spaces, as well as the theory of height functions over global fields.
Research Interests
- Number Theory
- Dynamical Systems
Students
Ph.D. Students
- Addison Day (current)
- Peter Oberly (current)
- Chatchai Noytaptim (current)
- Chifan Leung (current)
- Naveen Somasunderam (2019)
- Emerald Stacy (2018)
- Brian Stout (2013)
M.S. Students
- Peter Oberly (2022)
- Naveen Somasunderam (2016)
- Jesse Andrews (2016)
- Evan Hedlund (2015)
- Emerald Stacy (2015)
- Jeff Monroe (2014)
- Jason McClelland (2014)
Links
- AIM Workshop on Moduli Spaces for Algebraic Dynamical Systems, September 27- October 1, 2021
- Oregon Number Theory Days
- AMS Special Session on Diophantine Approximation and Analytic Number Theory in honor of Jeffrey Vaaler, January 12-13, 2018
- 2016 Pacific Northwest Number Theory Conference
- The Number Theory Group at OSU
- The Number Theory Seminar at OSU
- The REU Program in Mathematics and Computer Science at OSU
Education
Ph.D. The University of Texas at Austin
B.S. Virginia Tech
Publications
- Totally real algebraic integers in short intervals, Jacobi polynomials, and unicritical families in arithmetic dynamics
Chatchai Noytaptim and Clayton Petsche
Submitted for publication
(arxiv) - Non-Archimedean Koksma inequalities, variation, and Fourier analysis
Clayton Petsche and Naveen Somasunderam
Uniform Distribution Theory Vol. 17 (2022), no.2, 21–50
(journal) (arxiv) - Totally T-adic functions of small height
Xander Faber and Clayton Petsche
Rendiconti Lincei Matematica e Applicazioni, Vol. 31 (4), (2020), 699–732
(journal) (arxiv) - Abelian extensions in dynamical Galois theory
Jesse Andrews and Clayton Petsche
Algebra and Number Theory, Vol. 14 (2020), No. 7, 1981–1999
(journal) (arxiv) - Attractors associated to a family of hyperbolic p-adic plane automorphisms
Clayton Petsche
Ergodic Theory and Dynamical Systems, Vol. 41 (2020), No. 6
(journal) (arxiv) - A dynamical construction of small totally p-adic algebraic numbers
Clayton Petsche and Emerald Stacy
Journal of Number Theory, Vol. 202 (2019) 27-36
(journal) (arxiv) - A Dirichlet approximation theorem for group actions
Clayton Petsche and Jeffrey D. Vaaler
Functiones et Approximatio Commentarii Mathematici, Vol. 60, No. 2 (2019) 263-275
(journal) (arxiv) - Non-Archimedean Hénon maps, attractors, and horseshoes
Kenneth Allen, David DeMark, and Clayton Petsche
Research in Number Theory, Vol. 4 Issue 1 (2018)
(journal) (arxiv) - Energy integrals and small points for the Arakelov height
Paul Fili, Clayton Petsche, and Igor Pritsger
Archiv der Mathematik, Vol. 109 (2017), 441–454
(journal) (arxiv) - A p-adic Perron-Frobenius theorem
Robert Costa, Patrick Dynes, and Clayton Petsche
Acta Arithmetica Vol. 174 (2016), 175-188
(journal) (arxiv) - On the distribution of orbits in affine varieties
Clayton Petsche
Ergodic Theory and Dynamical Systems, Vol. 35 (2015), 2231-2241 (journal) (arxiv) - Energy integrals over local fields and global height bounds
Paul Fili and Clayton Petsche
International Mathematics Research Notices, Vol. 2015 (2015) 1278-1294
(journal) (arxiv) - On quadratic rational maps with prescribed good reduction
Clayton Petsche and Brian Stout
Proceedings of the American Mathematical Society, Vol. 143 (2015), 1145-1158
(journal) (arxiv) - Global minimal models for endomorphisms of projective space
Clayton Petsche and Brian Stout
Journal de Théorie des Nombres de Bordeaux, Vol. 26 no. 3 (2014), p. 813-823
(journal) (arxiv) - Critically separable rational maps in families
Clayton Petsche
Compositio Mathematica, Vol. 148, Iss. 06 (2012), 1880-1896
(journal) (arxiv) - A dynamical pairing between two rational maps
Clayton Petsche, Lucien Szpiro, and Thomas J. Tucker
Transactions of the American Mathematical Society, Vol. 364 (2012), 1687-1710
(journal) (arxiv) - A criterion for weak convergence on Berkovich projective space
Clayton Petsche
Mathematische Annalen, Vol. 348 Iss. 2 (2010) 449-465
(journal) (arxiv) - Isotriviality is equivalent to potential good reduction for endomorphisms of PN over function fields
Clayton Petsche, Lucien Szpiro and Michael Tepper
Journal of Algebra, Vol. 322 Iss. 9 (2009) 3345-3365
(journal) (arxiv) - Non-archimedean equidistribution on elliptic curves with global applications
Clayton Petsche
Pacific Journal of Mathematics, Vol. 242 No. 2 (2009) 345-375
(journal) (arxiv) - S-integral preperiodic points for dynamical systems over number fields
Clayton Petsche
Bulletin of the London Mathematical Society, Vol. 40 No. 5 (2008) 749-758
(journal) (arxiv) - Small rational points on elliptic curves over number fields
Clayton Petsche
New York Journal of Mathematics, Vol. 12 (2006) 257-268
(journal) (arxiv) - Global discrepancy and small points on elliptic curves
Matthew Baker and Clayton Petsche
International Mathematics Research Notices, Vol. 61 (2005) 3791-3834
(journal) (arxiv) - A quantitative version of Bilu's equidistribution theorem
Clayton Petsche
International Journal of Number Theory, 1 (2) 2005, 281-291
(journal) - Unpublished—The height of algebraic units in local fields
Clayton Petsche
Preprint (2003) (PDF) - Doctoral Dissertation—The distribution of Galois orbits of low height
Clayton Petsche.
Advisor: Jeffrey Vaaler
The University of Texas at Austin (2003)
(UT Library)