Last update: 19 Feb 2019
Prof. Vincent Emery
SNF Professor
vincent.emery@math.ch
Universität Bern
Mathematishes Institut
Sidlerstrasse 5
CH3012 Bern
Office room: 226 (ExWi)
Phone: +41 31 631 88 25
Secretary: +41 31 631 88 21
Short vitae
Bramois,
Sion, Fribourg
(PhD), MilanoBicocca, Genève, MPI Bonn, Stanford, EPF Lausanne, Bern
Teaching
WISO Math II>

Herbst 2018: Algebra: Ringe und Moduln
(BA)

Frühling 2019: Lattices and codes
(MA)
The course "Arithmetic lattices" previously announced will take place in Fall 2019 in the form of a CUSO graduate lecture.
Research
SNSF project no PP00P2_157583:
Volume and arithmetic of hyperbolic lattices
My research group includes:
Publications and preprints
Preprints

Hyperbolic manifolds and pseudoarithmeticity
with Olivier Mila
arXiv:1810.12837

Quaternionic hyperbolic lattices of minimal covolume
with Inkang Kim
arXiv:1802.07776
Articles

Salem numbers and arithmetic hyperbolic groups
with John Ratcliffe and Steve Tschantz
Trans. Amer. Math. Soc. (to appear)
arXiv:1506.03727

On volumes of quasiarithmetic hyperbolic lattices
Selecta Math. (N.S.) 23 (4), 2849–2862 (2017)
arXiv:1603.07349

Hermitian lattices and bounds in Ktheory of algebraic integers
with Eva Bayer Fluckiger and Julien Houriet
Doc. Math. Extra. vol. Merkurjev, 71—83 (2015)
arXiv:1406.5953

Hyperbolic manifolds of small volume
with
Misha Belolipetsky
Doc. Math. 19, 801—814
(2014)
arXiv:1310.2270

Torsion homology of arithmetic lattices and K_{2}
of imaginary fields
Math. Z. 277
(3—4), 1155—1164 (2014)
arXiv:1303.6132

Even unimodular Lorentzian lattices and hyperbolic volume
J. Reine Angew. Math. 690, 173—177 (2014)
arXiv:1201.5261

On compact hyperbolic manifolds of Euler characteristic two
Algebr. Geom. Topol. 14 (2), 853—861 (2014)
arXiv:1304.3509

Covolumes of nonuniform lattices in PU(n,1)
with Matthew Stover
Amer. J. Math. 136, 143—164 (2014)
arXiv:1107.5281

The three smallest compact arithmetic hyperbolic 5orbifolds
with Ruth Kellerhals
Algebr. Geom. Topol. 13 (2), 817—829 (2013)
arXiv:1205.2984

Appendix to "On the arithmetic and geometry of binary
Hamiltonian forms"
article by Jouni Parkkonen and Frédéric Paulin
Algebra Number Theory 7, 75—115 (2013)
arXiv:1105.2290

Arbitrarily large families of spaces of the same volume
Geom. Dedicata 160, 313—320 (2012)
arXiv:1107.3043

On volumes of arithmetic quotients of PO(n,1)°, n odd
with Misha Belolipetsky
Proc. Lond. Math. Soc. (3) 105 (3), 541—570 (2012)
arXiv:1001.4670
Conference proceedings and reports

Quasiarithmetic lattices and their hyperbolic volumes
RIMS Kôkyûroku 2062: "Topology and analysis of discrete groups and hyperbolic spaces", 2018.
(link)

Bounds for torsion homology of arithmetic groups
From a talk given at the conference "Growth and Mahler measure in
geometry and topology", MittagLeffler institute, July 2013.
PDF file

On the compact arithmetic 5orbifold of smallest volume
Oberwolfach Rep. 7 (3), report 35/2010:
"Lowdimensional topology and number theory", 2010.
(link)
PhD thesis

Du volume des quotients arithmétiques de l'espace
hyperbolique.
Fribourg, 2009.
PDF file