Immanuel van Santen (geb. Stampfli)

Universität Basel
Departement Mathematik und Informatik
Spiegelgasse 1
4051 Basel, Schweiz



Room: 03.004
Phone: +41 61 207-5572
E-mail: immanuel.van.santen(at)unibas(dot)ch

About me

My research subject lies in the field of algebraic geometry. I am particularly interested in the group of automorphisms of algebraic varieties and embedding problems of algebraic varieties. Mainly, I focus on affine varieties, as they may admit very rich automorphism groups. Recently I started to study these automorphisms with birational geometry methods.


Teaching in the spring term 2020

Lecture: Algebra II


Teaching in the autumn term 2018

Lecture: Algebraische Geometrie I


Teaching in the spring term 2018

Lecture: Algebra II


Current master student

Gianni Talarico, title: Kleiman’s Transversality Theorem and Applications


Poster

Peter Feller and Immanuel van Santen.
Uniqueness of Embeddings of the Affine Line into Algebraic Groups.
link to the poster


Preprints

Jérémy Blanc and Immanuel van Santen.
Automorphisms of the affine 3-space of degree 3.
Preprint, 2019.
https://arxiv.org/abs/1912.02144

Jérémy Blanc and Immanuel van Santen.
Dynamical degrees of affine-triangular automorphisms of affine spaces.
Preprint, 2019.
https://arxiv.org/abs/1912.01324

Andriy Regeta and Immanuel van Santen.
Characterizing quasi-affine spherical varieties via the automorphism group.
Preprint, 2019.
https://arxiv.org/abs/1911.10896

Peter Feller and Immanuel Stampfli.
Holomorphically equivalent algebraic embeddings.
Preprint, 2014.
http://arxiv.org/abs/1409.7319


Publications

Hanspeter Kraft, Andriy Regeta and Immanuel van Santen.
Is the affine space determined by its automorphism group?
to appear in Int. Math. Res. Not. IMRN, 2018.
https://arxiv.org/abs/1707.06883 or Official webpage

Peter Feller and Immanuel van Santen.
Uniqueness of Embeddings of the Affine Line into Algebraic Groups.
J. Algebraic Geom. 28 (2019), no. 4, 649–698.
https://arxiv.org/abs/1609.02113 or Official webpage

Jérémy Blanc and Immanuel van Santen.
Embeddings of Affine Spaces into Quadrics.
Trans. Amer. Math. Soc. 371 (2019), no. 12, 8429–8465.
https://arxiv.org/abs/1702.00779 or Official webpage

Stefan Maubach and Immanuel Stampfli.
On Maximal Subalgebras.
J. Algebra 483 (2017), 1-36.
http://arxiv.org/abs/1501.03753 or Official webpage

Immanuel Stampfli.
Algebraic embeddings of into SLn(ℂ).
Transform. Groups 22 (2017), no. 2, 525–535.
https://arxiv.org/abs/1505.03735 or Official webpage

Immanuel Stampfli.
Automorphisms of 3 Commuting with a +-Action.
Int. Math. Res. Not. IMRN (2015), no. 19, 9832-9856.
https://arxiv.org/abs/1406.6246 or Official webpage

Jérémy Blanc and Immanuel Stampfli.
Automorphisms of the Plane Preserving a Curve.
Algebr. Geom. 2 (2015), no. 2, 193-213.
https://arxiv.org/abs/1304.2549 or Official webpage

Immanuel Stampfli.
A note on Automorphisms of the Affine Cremona Group.
Math. Res. Lett. 20 (2013), no. 6, 1177-1181.
https://arxiv.org/abs/1209.3427 or Official webpage

Hanspeter Kraft and Immanuel Stampfli.
On Automorphisms of the Affine Cremona Group.
Ann. Inst. Fourier (Grenoble) 63 (2013), no. 3, 1137-1148.
https://arxiv.org/abs/1105.3739 or Official webpage

Immanuel Stampfli.
On the Topologies on ind-Varieties and related Irreducibility Questions.
J. Algebra 372 (2012), 531-541.
https://arxiv.org/abs/1109.4088 or Official webpage


Dissertation

Immanuel Stampfli.
Contributions to Automorphisms of Affine Spaces. 2013.
http://edoc.unibas.ch/diss/DissB_10504