#### Oliver Baues

Mathematisches Institut
Georg-August-Universität Göttingen
Bunsenstr. 3-5,
37073 Göttingen, Germany

Office: 105
Phone: +49 551 39 91239
e-mail: obaues @ uni-math.gwdg.de

#### –– Preprints ––

• Rigidity of compact pseudo-Riemannian homogeneous spaces for solvable Lie groups

arXiv:1507.02575, 2015, with W. Globke

• Symplectic Lie Groups

arXiv:1307.1629, 2014, with V. Cortés, 93p, Astérisque, SMF, to appear.

• Seifert fiberings and collapsing of infrasolv spaces

arXiv:1209.2450, 2012, with W. Tuschmann

• Isometry groups with radical, and towers of infra-solv bundles on aspherical Riemannian manifolds

with Y. Kamishima in preparation

#### –– Published research articles ––

• The deformations of flat affine structures on the two-torus

in Handbook of Teichmüller theory Vol. IV, ed. A. Papadopoulos, EMS, IRMA Lectures in Mathematics and Theoretical Physics 19, 2014, pp. 461-539. (also arXiv:1112.3263)

• Deformations and rigidity of lattices in solvable Lie groups

joint work with Benjamin Klopsch, Journal of Topology, 6, 2013 (4), pp. 823-856. (also arXiv:1111.5589)

• Flat Pseudo-Riemannian Homogeneous Spaces with Non-Abelian Holonomy Group

with Wolfgang Globke, Proc. Amer. Math. Soc. 140 (2012), pp. 2479-2488. (also arXiv:1009.3383)

• Virtually abelian Kähler and projective groups

with Johannes Riesterer, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 81, Issue 2 (2011), pp. 191-213. (also arXiv:0911.2459)

• Flat Pseudo-Riemannian manifolds and prehomogeneous affine representations

in 'Handbook of pseudo-Riemannian Geometry and Supersymmetry', EMS, IRMA Lectures in Mathematics and Theoretical Physics 16, 2010, pp. 731-817. (availabe also as arXiv:0809.0824)

• Deformation spaces for affine crystallographic groups

in 'Cohomology of groups and algebraic K-theory', Advanced Lectures in Mathematics 12, 2009, pp. 55-129. (availabe also as arXiv:0809.0829v1)

• Two problems concerning polycyclic spaces

GUIDO'S BOOK OF CONJECTURES, (edited by Indira Chatterji), L'Enseign. Math., Monographie No 40, 2008.

• Fiber spaces with solv-geometry: Preliminary report

with Y. Kamishima, Proceedings of Workshop on "Complex analysis and Geometry on Hyperbolic space" Kyoto, RIMS Kokyuroku 1518, Kyoto University, Kyoto Japan, October 2006.

• Automorphism groups of polycyclic by finite groups and arithmetic groups

with F. Grunewald, Publ. Math. IHES 104 (2006), no. 1

• Aspherical Kähler manifolds with solvable fundamental group

with V. Cortés, Geometriae Dedicata 122, No 1 (2006)

• Geodesics in Non-Positively Curved Plane Tessellations

with N. Peyerimhoff, Advances in Geometry, 6 (2006), no. 2

• Is the deformation space of complete affine structures on the 2-torus smooth?

with W.M. Goldman, Geometry and Dynamics (Cuernavaca 2003), Contemporary Mathematics 389 (2005)

• Infra-solvmanifolds and rigidity of subgroups in solvable linear algebraic groups

Topology, 43, No 4 (2004)

• Proper affine spheres fibering over projective special Kähler manifolds

with V. Cortés, Asian Journal of Mathematics, 7, No 1 (2003)

• Finite extensions and unipotent shadows of affine crystallographic groups

C. R. Acad. Sci. Paris, Ser. I 335 (2002)

• Abelian simply transitive affine groups of symplectic type

with V. Cortés, Annales de l'Institut Fourier 52, No 6 (2002)

• Realisation of Special Kähler Manifolds as Parabolic Spheres

with V. Cortés, Proceedings of the AMS 129, No 8 (2001)

• Curvature and Geometry of Tessellating Graphs

with N. Peyerimhoff, Discrete & Computational Geometry 25, No 1 (2001)

• Varieties of Discontinuous Groups

Crystallographic groups and their generalizations (Kortrijk, 1999), Contemporary Mathematics 262 (2000)

• Gluing Affine 2-Manifolds with Polygons

Geometriae Dedicata 75 (1999)

• Left-symmetric algebras for $$\mathfrak{gl}_n$$

Transactions of the AMS, 351 No 7 (1999)