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Faculty of Mathematics

 

University Lecturer

Research Interests: Arithmetic and Complex Dynamics

Publications

Reduction of dynatomic curves
JR Doyle, H Krieger, A Obus, R Pries, S Rubinstein-Salzedo, L West
– Ergodic Theory and Dynamical Systems
(2019)
39,
2717
Cohomological conditions on endomorphisms of projective varieties
H Krieger, P Reschke
– Bulletin de la Société mathématique de France
(2017)
145,
449
Bounded Height in Families of Dynamical Systems
L DeMarco, D Ghioca, H Krieger, KD Nguyen, T Tucker, H Ye
– International Mathematics Research Notices
(2019)
2019,
2453
The dynamical André–Oort conjecture: Unicritical polynomials
D Ghioca, H Krieger, K Nguyen, H Ye
– Duke Mathematical Journal
(2017)
166,
1
A Case of the Dynamical André–Oort Conjecture
D Ghioca, H Krieger, K Nguyen
– International Mathematics Research Notices
(2016)
2016,
738
Uniform boundedness of S -units in arithmetic dynamics
H Krieger, A Levin, Z Scherr, T Tucker, Y Yasufuku, ME Zieve
– Pacific Journal of Mathematics
(2015)
274,
97
Primitive prime divisors in the critical orbit of z^d+c
H Krieger
Arboreal representations for rational maps with few critical points
J Juul, H Krieger, N Looper, M Manes, B Thompson, L Walton
Uniform Manin-Mumford for a family of genus 2 curves
L DeMarco, H Krieger, H Ye
Common preperiodic points for quadratic polynomials
L DeMarco, H Krieger, H Ye

Research Group

Number Theory & Algebra

Room

E1.19

Telephone

01223 337970