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Preprints
1. Group Theoretical Characterizations of Rationality (with C. Urech, and I. van Santen) arXiv:2409.07864
2. The Structure of Algebraic Families of Birational Transformations (with C. Urech and I. van Santen) arXiv:2409.06475
3. The Automorphism groups of zero-dimensional monomial algebras (with R. Díaz, A. Liendo, G. Manzano-Flores),
4. Bracket width of current Lie algebras (with B. Kunyavskii and I. Makedonskyi) arXiv:2404.06045 (submitted).
5. When is the automorphism group of an affine variety linear? (submitted).
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Publications
6. Characterization of affine G_m-surfaces of hyperbolic type, arXiv:2202.10761 to appear in J. of Pure and Applied Alg. https://www.sciencedirect.com/science/article/abs/pii/S0022404924002263
7. On the characterization of affine toric varieties by their automorphism group (with R. Díaz and A. Liendo)
arXiv:2308.08040 to appear in Israel J. Math.
8. Maximal commutative unipotent subgroups and a characterization of affine spherical varieties (with I. van Santen) arXiv:2112.04784 to appear in J. Eur. Math. Soc. https://ems.press/journals/jems/articles/forthcoming
9. Automorphism groups of affine varieties without non-algebraic elements (with A. Perepechko) arXiv:2203.08950
Proc. Amer. Math. Soc. 152 (2024), 2377-2383. doi.org/10.1090/proc/16759
(I gave a recorded talk on a very early version of this work at the "Seminar on Algebraic Transformation Groups".)
10. Small G-varieties (with H. Kraft and S. Zimmermann), Canad. J. of Math. (2024) 76(1), 173-215.
(H. Kraft gave a recorded talk on this work at the "Quadratic forms, Linear algebraic groups and Beyond" Seminar).
11. Lie subalgebras of vector fields on affine 2-space and the Jacobian conjecture, to appear in Ann. Inst. Fourier.
12. Bracket width of the Lie algebra of vector fields on a smooth affine curve (with I. Makedonskyi),
Journal of Lie Theory 33 (2023), No. 3, 919--923.
13. Families of commuting automorphisms, and a characterization of the affine space (with S. Cantat and J. Xie)
American Journal of Mathematics 145, no. 2 (2023): 413-434. muse.jhu.edu/article/885815.
14. Characterisation of affine surfaces by their automorphism groups (with A. Liendo and C. Urech) arXiv:1805.03991 Ann. Sc. Norm. Super. di Pisa, 2023: VOL. XXIV, ISSUE 1, 249-289, doi:10.2422/2036-2145.201905_009
(C. Urech gave a recorded talk on an this work at the conference "Algebraic Geometry - Mariusz Koras in memoriam").
15. When is the automorphism group of an affine variety nested? (with A. Perepechko), Transf. Groups, Vol. 28, pp. 401-412 (2023).
(Sasha gave a recorded talk on an this work at the conference Algebraic Geometry - Mariusz Koras in memoriam").
16. Characterisation of n-dimensional normal affine SL_n-varieties, Transform. Groups, Vol. 27, pp. 271–293 (2022).
17. Vector Fields and Automorphism Groups of Danielewski Surfaces (with M. Leuenberger), Int. Math. Res. Not., Vol. 2022, Issue 6, pp. 4720–4752.
18. On the characterization of Danielewski surfaces by their automorphism group (with A. Liendo and C. Urech), Transform. Groups, Vol. 25, No. 4, 2022.
19. Bracket width of simple Lie algebras (with A. Dubouloz and B. Kunyavskii), Doc. Math. 26, 1601-1627 (2021).
(B. Kunyavskii gave a recorded talk on this research work at the conference "Affine Algebraic Groups, Motives and Cohomological Invariants" in Banff.)
20. Characterizing quasi-affine spherical varieties via the automorphism group (with I. van Santen), Journal de l’École polytechnique — Mathématiques, Vol. 8 (2021) pp. 379-414.
21. Is the affine space determined by its automorphism group? (with H. Kraft and I. van Santen), Int. Math. Res. Not., Vol. 2021, Issue 6, pp. 4280–4300.
22. Automorphisms of the Lie algebra of vector fields on affine n-Space (with H. Kraft), J. Eur. Math. Soc, Vol. 19, Issue 5, 2017, pp. 1577-1588.