I study the arithmetic and algebraic aspects of families of complex dynamical systems.
A spectral gap of Thurston eigenvalues for unbounded post-critically finite rational maps
To appear in Annals of Math.
To appear in Proceedings of Women in Numbers 4.
Ergodic Theory and Dynamical Systems (2019), 39(10), 2717-2768.
International Mathematics Research Notices (2019) Vol. 2019, Issue 8, 2453 - 2482.
Cohomological conditions on endomorphisms of projective varieties (with P. Reschke)
Bulletin de la SMF (2017) Vol. 145 No. 3, 449 - 468.
The dynamical André-Oort conjecture for unicritical polynomials (with D. Ghioca, K. Nguyen, H. Ye)
Duke Math. J. (2017) Vol. 166 No. 1, 1 - 25.
A case of the dynamical André-Oort conjecture (with D. Ghioca, K. Nguyen)
International Math. Research Notices (2016) Vol. 2016, 738-758.
Uniform boundedness of S-units in arithmetic dynamics (with A. Levin, Z. Scherr, T. Tucker, Y. Yasufuku, M. Zieve)
Pacific Journal of Mathematics (2015) Vol. 274 No. 1, 97-106.
International Math. Research Notices (2013) Vol. 2013, 5498-5525.
Some consequences of Schanuel's conjecture (with C. Cheng, B. Dietel, M. Herblot, J. Huang, D. Marques, J. Mason, M. Mereb, S.R. Wilson)
Journal of Number Theory (2009) No. 6, 1464-1467.
CIRM, Luminy, France -- September 2018.
CIRM, Luminy, France -- April 2015.