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Faculty of Mathematics

 

Professor Holly Krieger

 

Professor

Research Interests: Arithmetic and Complex Dynamics

 

Publications

Hénon maps with many rational periodic points
H Kim, H Krieger, M-I Postolache, V Szeto
(2024)
(link to publication)
Birational maps with transcendental dynamical degree
J Bell, J Diller, M Jonsson, H Krieger
(2021)
(link to publication)
Uniform Manin-Mumford for a family of genus 2 curves
L DeMarco, H Krieger, H Ye
– Annals of Mathematics
(2020)
191,
949
(doi: 10.4007/annals.2020.191.3.5)
Common preperiodic points for quadratic polynomials
L DeMarco, H Krieger, H Ye
(2019)
(link to publication)
Arboreal representations for rational maps with few critical points
J Juul, H Krieger, N Looper, M Manes, B Thompson, L Walton
(2018)
(link to publication)
Reduction of dynatomic curves
JR Doyle, H Krieger, A Obus, R Pries, S Rubinstein-Salzedo, L West
– Ergodic Theory and Dynamical Systems
(2018)
39,
2717
(doi: 10.1017/etds.2017.140)
Cohomological Conditions on Endomorphisms of Projective Varieties
H Krieger, P Reschke
– Bulletin de la Société mathématique de France
(2017)
145,
449
(doi: 10.24033/bsmf.2744)
Bounded Height in Families of Dynamical Systems
L DeMarco, D Ghioca, H Krieger, K Dang Nguyen, T Tucker, H Ye
– International Mathematics Research Notices
(2017)
2019,
2453
(doi: 10.1093/imrn/rnx174)
The dynamical André–Oort conjecture: Unicritical polynomials
D Ghioca, H Krieger, K Nguyen, H Ye
– Duke Mathematical Journal
(2016)
166,
1
(doi: 10.1215/00127094-3673996)
A Case of the Dynamical André–Oort Conjecture
D Ghioca, H Krieger, K Nguyen
– International Mathematics Research Notices
(2016)
2016,
738
(doi: 10.1093/imrn/rnv143)
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Research Group

Algebraic Geometry

Email

hkrieger@dpmms.cam.ac.uk

Room

E1.19

Telephone

01223 337970

Personal homepage

https://www.dpmms.cam.ac.uk/~hk439

Study at Cambridge

About the University

Research at Cambridge