Professor Holly Krieger | Department of Pure Mathematics and Mathematical Statistics

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Professor (Grade 11)

Research Interests: Arithmetic and Complex Dynamics

Publications

Birational maps with transcendental dynamical degree

J Bell, J Diller, M Jonsson, H Krieger

(2021)

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)

Arboreal representations for rational maps with few critical points

J Juul, H Krieger, N Looper, M Manes, B Thompson, L Walton

(2018)

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)

Uniform boundedness ofS-units in arithmetic dynamics

H Krieger, A Levin, Z Scherr, T Tucker, Y Yasufuku, ME Zieve

– Pacific Journal of Mathematics

(2015)

274,

97

(DOI: 10.2140/pjm.2015.274.97)