Professor Holly Krieger | Department of Pure Mathematics and Mathematical Statistics

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Professor

Research Interests: Arithmetic and Complex Dynamics

Publications

A dynamical Shafarevich theorem for endomorphisms of P N \mathbb {P}^N

J Juul, H Krieger, N Looper, NM Mavraki

– Proceedings of the American Mathematical Society

(2025)

153,

3351

(doi: 10.1090/proc/17217)

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

JP Bell, J Diller, M Jonsson, H Krieger

– Proceedings of the London Mathematical Society

(2023)

128,

e12573

(doi: 10.1112/plms.12573)

Common preperiodic points for quadratic polynomials

L DeMarco, H Krieger, H Ye

– Journal of Modern Dynamics

(2022)

18,

363

(doi: 10.3934/jmd.2022012)

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

Holly Krieger, Paul Reschke

– Bulletin de la Société mathématique de France

(2017)

145,

449

(doi: 10.24033/bsmf.2744)