Publications
All my publications can be found on the arXiv in reversed chronological order. Here the publications are grouped by topics.Exceptional sequences
- with Nathan Ilten: Families of Invariant Divisors on Rational Complexity-One T-Varieties,
Journal of Algebra 392, 52–68, 2013,
also available at arXiv:0906.4292 [math.AG]. - with Nathan Ilten: Exceptional Sequences on Rational ℂ*-Surfaces,
Manuscripta Mathematica, 142(1-2), 1–34, 2013,
also available at arXiv:1106.4743 [math.AG]. - Exceptional Sequences of Line Bundles and Spherical Twists: a Toric Example,
Beiträge zur Algebra und Geometrie 54(1), 311–322, 2013,
also available at arXiv:1108.3734 [math.AG]. - with Klaus Altmann and Frederik Witt: Exceptional Sequences of Line Bundles on Projective Bundles,
preprint arXiv:2303.10924 [math.AG], 2023.
Spherical subcategories, spherelike objects & functors
- with Martin Kalck and David Ploog: Spherical Subcategories in Algebraic Geometry,
Mathematische Nachrichten 289(11-12), 1450–1465, 2016,
also available at arXiv:1208.4046 [math.CT, math.AG, math.RT]. - with Martin Kalck and David Ploog: Spherical Subcategories in Representation Theory,
Mathematische Zeitschrift 291(1-2), 113–147, 2019,
also available at arXiv:1502.06838 [math.RT, math.CT, math.AG]. - with David Ploog: Rigid Divisors on Surfaces,
Izvestiya: Mathematics 84(1),146–185, 2020,
also available at arXiv:1607.08198 [math.AG]. - with Ciaran Meachan: Frobenius and spherical codomains and neighbourhoods,
Documenta Mathematica 25, 483–525, 2020,
also available at arXiv:2001.04774 [math.CT, math.AG, math.RT].
Toric stacks, Mori dream stacks and their Cox rings
- with Frederik Witt: On Complex and Symplectic Toric Stacks,
in: Piotr Pragacz (Editor) Contributions to Algebraic Geometry, EMS Series of Congress Reports, 305–332, 2012,
also available at arXiv:1105.6280 [math.AG, math.SG]. - with Elena Martinengo: Mori Dream Stacks,
Mathematische Zeitschrift 280(3), 1185–1202, 2015,
also available at arXiv:1403.7984 [math.AG]. - with Elena Martinengo: Maps of Mori Dream Spaces,
Journal of Pure and Applied Algebra 222(6), 1287–1305, 2018,
also available at arXiv:1605.06789 [math.AG]. - with Elena Martinengo and Fabio Tonini: Cox rings of algebraic stacks,
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 24(5), 2323–2349, 2023, also available at arXiv:2004.01445 [math.AG].
ℙ-objects & ℙ-twists
- with Andreas Krug: Formality of ℙ-Objects,
Compositio Mathematica 155(5), 973–994, 2019,
also available at arXiv:1709.06434 [math.AG, math.CT]. - with Andreas Krug: Relations among ℙ-Twists,
preprint arXiv:2207.14120 [math.AG, math.CT], 2022. - with Andreas Krug: Asymmetry of ℙ-Functors,
preprint arXiv:2303.03436 [math.AG, math.CT], 2023.
Miscellaneous
- Introduction to derived categories of coherent sheaves,
in: Andreas Hochenegger, Manfred Lehn, Paolo Stellari (Eds.) Birational Geometry of Hypersurfaces, Springer Lecture Notes della Unione Matematica Italiana, 267–295, 2019,
also available at arXiv:1901.07305 [math.AG]. - On Ulrich bundles on projective bundles,
Beiträge zur Algebra und Geometrie 63(3), 573–587, 2022,
also available at arXiv:2006.16553 [math.AG]. - with Dino Festi: Rationalizability of field extensions with a view towards Feynman integrals,
Journal of Geometry and Physics 178, 104536, 2022,
also available at arXiv:2106.05621 [math.AG, hep-th, math-ph].
My publication list is also available on Google Scholar.
Diploma and PhD thesis
- Der Satz von Bernstein [The Theorem of Bernstein],
Diploma thesis, Universität Innsbruck, 2005. - Exzeptionelle Folgen in der torischen Geometrie [Exceptional Sequences in Toric Geometry],
PhD thesis, Freie Universität Berlin, 2011.