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From October 2011 I use a Heisenberg grant of the DFG (German Research Foundation).
CV [PDF]
RESEARCH:
My research interest is in Algebraic Geometry, Invariant and Representation Theory, and Homological Algebra. Details can be found in the following research statement.
Research Statement
PUBLICATIONS:
My
Google Scholar Profile.
| (joint Graf v. Bothmer, H.-Chr., Sosna, P.) On the dynamical degrees of reflections on cubic fourfolds, preprint (2015) available at arXiv:1502.01144[math.AG]
[Macaulay2 scripts for the paper]
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| (joint Graf von Bothmer, H.-Chr.and Bogomolov, F.) Birationally isotrivial fiber spaces,
preprint (2014) available at arXiv:1405.1389[math.AG]
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| (joint Bogomolov, F.)Essential dimension, stable cohomological dimension, and stable cohomology of finite Heisenberg groups,
preprint (2014) available at arXiv:1405.1394[math.AG]
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| (joint Bogomolov, F.) On uniformly rational varieties,accepted for publication in S.P. Novikov's 75th anniversary volume, to be published by the AMS,
preprint (2013) available at arXiv:1307.0102[math.AG]
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| (joint Auel, A., Graf v. Bothmer, H.-Chr.)The transcendental lattice of the sextic Fermat surface,(2013), accepted for publication in Mathematical Research Letters,
preprint available at arXiv:1306.6798[math.AG],
[Macaulay2 scripts for the paper]
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| (joint Graf v. Bothmer, H.-Chr., Sosna, P.) On the Jordan-Hölder property for geometric derived categories, accepted for publication in Advances in Mathematics,
preprint (2012) available at arXiv:1211.1229 [math.AG],
[Macaulay2 scripts for the paper]
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| (joint Graf v. Bothmer, H.-Chr., Katzarkov, L., Sosna, P.) Determinantal Barlow surfaces and phantom categories,(2012), accepted for publication in Journal of the European Mathematical Society,
preprint available at arXiv:1210.0343 [math.AG],
[Macaulay2 scripts for the paper]
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| (joint Graf v. Bothmer, H.-Chr., Sosna, P.) On the derived category of the classical Godeaux surface,Advances in Mathematics Vol. 243 (2013), 203-231,
preprint available at arXiv:1206.1830v1 [math.AG],
[Macaulay2 script for the paper]
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| (joint Bogomolov, F.) Isoclinism and stable cohomology of wreath products, in "Birational geometry, rational curves, and arithmetic", Simons Symposia, Springer (2013), 57-77; preprint available at
arXiv:1204.4747v1 [math.AG]
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| (joint Bogomolov, F.) Stable cohomology of alternating groups,(2011), accepted for publication in Central European Journal of Mathematics, preprint available at
arXiv:1108.2814v3 [math.AG]
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| (joint Graf v. Bothmer, H.-Chr. and Casnati, G.) Birational properties of some moduli spaces related to tetragonal curves of genus 7, International Mathematics Research Notices (2011) doi:10.1093/imrn/rnr230, preprint available at
arXiv:1105.0310v2 [math.AG]
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| (joint Bogomolov, F. and Graf v. Bothmer, H.-Chr.) Linear bounds for levels of stable rationality,Central European Journal of Mathematics
Volume 10, Number 2 (2012), 466-520, DOI: 10.2478/s11533-011-0097-9, preprint (2011) available at
arXiv:1102.4973v1 [math.AG]
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| Some recent progress on the rationality problem in invariant theory, Oberwolfach Reports (2010) for the "Moduli Spaces in
Algebraic Geometry" workshop at Oberwolfach January 2010
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| The rationality problem in invariant theory, monograph in preparation (2009), accepted for publication in the series Progress in
Mathematics, Birkhäuser, recent version:
[PDF]
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(joint Graf v. Bothmer, H.-Chr.) On the rationality of the moduli space of Lüroth quartics, Mathematische Annalen
Volume 353, Number 4 (2012), 1273-1281, DOI: 10.1007/s00208-011-0715-7 Open Access, preprint (2010) available at
arXiv:1003.4635v1 [math.AG].
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(joint Bogomolov, F. and Graf v. Bothmer, H.-Chr.) Rationality of quotients by linear actions of affine groups, Science of China Series A: August 2011 Vol. 54 No. 8:
1521-1532 doi: 10.1007/s11425-010-4127-z, preprint available at
arXiv:1005.2375v2 [math.AG].
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(joint Graf v. Bothmer, H.-Chr.) A Clebsch-Gordan formula for SL_3 C and applications to rationality, Advances in
Mathematics 224 (2010) 246-259
arXiv:0812.3278v1 [math.AG].
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(joint Graf v. Bothmer, H.-Chr.) The rationality of the moduli spaces of plane curves of sufficiently large degree,
Invent. Math. 179 (2010), no. 1, available via open access DOI 10.1007/s00222-009-0214-6
arXiv:0804.1503v1 [math.AG].
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| (joint Graf v.Bothmer, H.-Chr. and Kröker, Jakob) Rationality of moduli spaces of plane curves of small degree,
Experiment. Math. 18 (2009), no. 4, 499--508
arXiv:0904.0890v1 [math.AG].
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| The rationality of the moduli space of curves of genus 3 after P. Katsylo, in: Cohomological and Geometric Approaches to
Rationality Problems: New Perspectives, F. Bogomolov and Y. Tschinkel eds., Progress in Mathematics 282, (2009)
arXiv:0804.1509v1 [math.AG].
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| Gorenstein algebras in codimension 2 and Koszul modules, Communications in Algebra, Volume 36, Issue 6 June 2008 ,
pages 2014 - 2022
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Canonical surfaces in P^4 with p_g=p_a=5 and K^2=11, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend.
Lincei (9) Mat. Appl. 18 (2007), no. 1, 39--57
arXiv:math/0402369v1 [math.AG].
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Derived categories of coherent sheaves on rational homogeneous manifolds, Doc. Math. 11 (2006), 261-331
documenta/vol-11/11.
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L. Szpiro's conjecture on Gorenstein algebras in codimension 2, Journal of Algebra 288,
no. 2 (2005), p. 545-555
arXiv:math/0402370v1 [math.AC].
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Canonical surfaces in P^4 and Gorenstein algebras in codimension 2, Oberwolfach Reports, vol.1, no.1,
report no. 9/2004 (2004), p. 443-445; summary of talk given at the Mini-Workshop: "Classification of
Surfaces of General Type with Small Invariants"
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| Habilitationsschrift: The Rationality Problem in Invariant Theory, (Göttingen 2009)
[PDF]
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| Dissertation: Derived categories of coherent sheaves on rational homogeneous manifolds, Dissertation, Bayreuth (2005)
http://opus.ub.uni-bayreuth.de/volltexte/2005/170/
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| Diplomarbeit: Canonical surfaces in P^4 and Gorenstein algebras in codimension 2, Diplomarbeit, Göttingen (2001)
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