Immanuel van Santen (geb. Stampfli)

About me

I am a postdoctoral researcher with teaching position at the Department of Mathematics and Computer Science at the University of Basel. 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 2023

Lecture: Mastervorlesung: Algebraische Geometrie II

Teaching in the spring term 2022

Lecture: Hauptvorlesung: Algebra II

Teaching in the autumn term 2021

Lecture: Seminar: Differentialgeometrie

Teaching in the spring term 2021

Lecture: Hauptvorlesung: Differentialgeometrie

Teaching in the spring term 2020

Lecture: Hauptvorlesung: Algebra II

Teaching in the autumn term 2018

Lecture: Mastervorlesung: Algebraische Geometrie I

Teaching in the spring term 2018

Lecture: Hauptvorlesung: Algebra II

Current PHd student, I’m coadvising together with Jérémy Blanc

Mani Esna-Ashari, subject: Finite subgroups of Cremona groups

Master student

March-July 2020: 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, Pierre-Marie Poloni, Immanuel van Santen.
Complements of hypersurfaces in projective spaces.
Preprint, January 2023.
https://arxiv.org/abs/2301.13040

Andriy Regeta and Immanuel van Santen.
Characterizing Affine Toric Varieties via the Automorphism Group.
Preprint, December 2021.
https://arxiv.org/abs/2112.04784

¹⁾Peter Feller and Immanuel Stampfli.
Holomorphically equivalent algebraic embeddings.
Preprint, October 2014.
http://arxiv.org/abs/1409.7319

Publications

Peter Feller and Immanuel van Santen.
Existence of Embeddings of Smooth Varieties into Linear Algebraic Groups.
published electronically in J. Algebraic Geom., October 2022.
https://arxiv.org/abs/2007.16164 or Official webpage

Jérémy Blanc and Immanuel van Santen.
Automorphisms of the affine 3-space of degree 3.
Indiana Univ. Math. J. 71 (2022), 857-912.
https://arxiv.org/abs/1912.02144 or Official webpage

Jérémy Blanc and Immanuel van Santen.
Dynamical degrees of affine-triangular automorphisms of affine spaces.
Ergodic Theory and Dynamical Systems (2021), 1–42.
https://arxiv.org/abs/1912.01324 or Official webpage

Andriy Regeta and Immanuel van Santen.
Characterizing Smooth Affine Spherical Varieties via the Automorphism Group.
Journal de l’École polytechnique — Mathématiques 8 (2021), 379–414.
https://arxiv.org/abs/1911.10896 or Official webpage

Hanspeter Kraft, Andriy Regeta and Immanuel van Santen.
Is the affine space determined by its automorphism group?
Int. Math. Res. Not. IMRN (2021), no. 6, 4280–4300.
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 ℂ into SL_n(ℂ).
Transform. Groups 22 (2017), no. 2, 525–535.
https://arxiv.org/abs/1505.03735 or Official webpage

Immanuel Stampfli.
Automorphisms of ℂ³ Commuting with a ℂ⁺-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

---

^{1) After uploading this article on arXiv.org, we were informed that the main result was already proven by Shulim Kaliman in https://arxiv.org/abs/1309.3791 now published in [Proc. Amer. Math. Soc.]. We don't intend to submit this article to any peer-review journal. ↩}