Christian Lucius Urech

photo placeholder image

christian.urech@epfl.ch +41 21 693 82 61

Unit: SMA-ENS

EPFL SB MATH
MA B1 497 (Bâtiment MA)
Station 8
CH-1015 Lausanne

perm_contact_calendarvCard
Administrative data

Fields of expertise

My research interests include: Cremona groups, groups of birational transformations, degree sequences, polynomial automorphisms of affine spaces, classical algebraic geometry, birational geometry, affine algebraic geometry, algebraic group actions, geometric group theory, actions of groups on CAT(0) cube complexes. 

Research

Publications

A. Lonjou, C. Urech, ``Actions of Cremona groups on CAT(0) cube complexes'', https://arxiv.org/abs/2001.00783, preprint

C. Urech, S. Zimmermann, ``Continuous automorphisms of Cremona groups'', https://arxiv.org/abs/1909.11050, preprint

A. Liendo, R. Regeta, C. Urech, `` On the characterization of Danielewski surfaces by their automorphism group", https://arxiv.org/abs/1905.00423, submitted

A. Liendo, R. Regeta, C. Urech, ``Characterization of affine toric varieties by their automorphism groups", https://arxiv.org/abs/1805.03991, submitted

C. Urech, S. Zimmermann, ``A new presentation of the plane Cremona group", Proc. Amer. Math. Soc.  147  (2019),  no. 7, 2741–2755.

C. Urech, ``Simple groups of birational transformations in dimension two",  https://arxiv.org/abs/1802.09258, Commentarii Mathematici Helvetici, to appear

C. Urech, ``Subgroups of elliptic elements of the Cremona group", https://arxiv.org/abs/1606.04822, submitted

C. Urech,  ``Remarks on the degree growth of birational transformations", https://arxiv.org/abs/1802.02735, Mathematical Research Letters, Vol. 25, No. 1 (2018), pp. 291-308

C. Urech, ``On homomorphisms between Cremona groups", https://arxiv.org/abs/1603.03294, Annales de l'Institut Fourier, Vol. 68, No. 1 (2018), pp. 53-100.

Other texts

C. Urech,``Subgroups of Cremona groups'', PhD Thesis at the University of Basel and the University of Rennes 1. Advisors: Jérémy Blanc and Serge Cantat.

C. Urech, ``On automorphisms of the affine Cremona group'', Master's Thesis at the University of Basel. Advisor: Hanspeter Kraft.

C. Urech, “Subgroups of elliptic elements of the plane Cremona group”, in: Oberwolfach Report 28/2018.