2) Äquisinguläre Deformationen isolierter
Hyperflächensingularitäten im C3.
(Dissertation an der Humboldt-Universität Berlin; Juni 1985)
3) Equisingular deformations of isolated 2-dimensional hypersurface
singularities.
(Invent. math. 88, 619-634 (1987))
4)
An algorithm for computing equisingular deformations..
(Preprint Nr. 224 der Humboldt-Universität Berlin; 1989)
5) Equisingular deformations below the Newton boundary.
(Compositio math. 80, 257-283 (1991))
6)
Deformations of affine torus varieties.
(Beiträge zur Algebra und Geometrie 34, No.1, 119-150 (1993))
7)
Computation of the vector space T1 for affine toric varieties.
(pdf-file)
(J. Pure Appl. Algebra 95 (1994), 239-259)
8)
Minkowski sums and homogeneous deformations of toric varieties.
(pdf-file)
(Tohoku Math. J. 47 (1995), 151-184)
9)
Torsion of differentials on toric varieties.
(pdf-file)
(Semigroup Forum 53 (1996), 89-97)
10)
Deformations of toric singularities.
(pdf-file)
(Habilitationsschrift;
Humboldt-Universität zu Berlin 1995)
11) Artikel in mathematischer Schülerzeitschrift:
Zwei verschiedene Formen von Geldanlagen.
(pdf-file)
(Alpha 9/1996, 14-17)
12)
Infinitesimal deformations and obstructions
for toric singularities.
(pdf-file)
(J. Pure Appl. Algebra 119 (1997), 211-235)
13)
The versal deformation of an isolated toric Gorenstein singularity.
(Invent. math. 128, 443-479 (1997))
14)
P-resolutions of cyclic quotients from the toric viewpoint.
(pdf-file)
(In: Progress in Mathematics,
Vol. 162: Singularities - The Brieskorn Anniversary Volume,
Birkhäuser Verlag Basel/Switzerland 1998, 241-250)
15)
Andre-Quillen cohomology of monoid algebras.
(pdf-file)
(with Arne B. Sletsjoe;
Journal of Algebra 210, 708-718 (1998))
16)
Singularities arising from lattice polytopes.
(pdf-file)
(In: Singularity Theory, ed. Bill Bruce, David Mond,
London Mathematical Society Lecture Note Series, 263,
Cambridge University Press 1999, 1-23)
17)
Strong exceptional sequences provided by quivers.
(pdf-file)
(with Lutz Hille;
Algebras and Representation Theory 2(1), 1-17 (1999))
18)
Cotangent cohomology of rational surface singularities.
(with Jan Stevens;
Invent. math. 138, 163-181 (1999))
19)
Estimating vaccine coverage by using computer algebra.
(pdf-file)
(with Doris Altmann; IMA Journal of Mathematics Applied in Medicine and Biology
17 (2000), 137-146)
20)
One-parameter families containing three-dimensional toric
Gorenstein singularities.
(pdf-file)
(In: Explicit Birational Geometry of 3-Folds
(ed. Alessio Corti, Miles Reid), p. 21-50,
London Mathematical Society Lecture Note Series. 281,
Cambridge University Press 2000)
21)
The polyhedral Hodge number h21.
(pdf-file)
(with Duco van Straten; Tohoku Math. J. 52 (2000), 579-602)
22)
The chain property for the associated primes of A-graded ideals.
(pdf-file)
(Mathematical Research Letters 7, 565-576 (2000))
23)
Cotangent cohomology of Stanley-Reisner rings.
(pdf-file)
(with Jan Christophersen;
manuscripta math. 115, 361-378 (2004))
24)
The graph of monomial ideals.
(with Bernd Sturmfels; Journal of Pure and Applied Algebra 201 (2005), 250-263)
25)
Polyhedral Divisors and Algebraic Torus Actions.
(with Jürgen Hausen; Math. Ann. 334, 557-607 (2006))
26)
Gluing affine torus actions via divisorial fans.
(with Jürgen Hausen and Hendrik Süss;
Transformation Groups 13 (2008), 215-242)
27)
A fansy divisor on M_{0,n}.
(with Georg Hein; J. Pure Appl. Algebra 212 (2008), 840-850)
28)
Böllings WpA.
(Mitteilungen der DMV, MDMV 16 (2008), 48-51)
29)
Smoothing of Quiver Varieties.
(with Duco van Straten;
manuscripta math. 129, 211-230 (2009))
30)
Flow polytopes and the graph of reflexive polytopes.
(with Benjamin Nill, Sabine Schwentner, and Izolda Wiercinska;
Discrete Math. 309 (2009), 4992--4999)
31)
Deforming Stanley-Reisner schemes.
(with Jan Christophersen;
Math. Ann. 348, 513--537 (2010))
32)
P-divisors of Cox rings.
(with Jarek Wisniewski;
Mich. Math. J. 60 (2011), 463-480)
33)
Cox rings of rational complexity one T-varieties.
(with Lars Petersen;
J Pure and Appl Algebra 216 (2012), 1146-1159)
34)
The geometry of T-varieties.
(with Nathan Ilten, Lars Petersen, Hendrik Suess, and Robert Vollmert;
In: Contributions to Algebraic Geometry. Impanga Lecture Notes.
Editor: Piotr Pragacz, EMS 2012, pp. 17-69)
35)
Negative deformations of toric singularities that are
smooth in codimension two.
(with Lars Kastner;
In: Deformations of Surface Singularities, Springer 2013, pp. 13-55)
36)
Merging divisorial with colored fans.
(with Valentina Kiritchenko and Lars Petersen;
Michigan Math J, vol 64 (2015), pp. 3-38)
37)
Algebraically rigid simplicial complexes and graphs.
(with Mina Bigdeli, Jürgen Herzog, and Dancheng Lu;
J Pure and Appl Algebra 220 (2016), 2914--2935)
38) Moduli and deformations - Global and local investigations in algebraic
geometry
(with Gavril Farkas;
in: Space-Time-Matter (ed. Jochen Bruening, Matthias Staudacher)
de Gruyter 2018, 116-149)
39)
The dualizing sheaf on first-order deformations of toric surface
singularities.
(with János Kollár;
Crelles Journal, 753 (2019), 137-158)
40)
Fujita's Freeness Conjecture for T-Varieties of Complexity One
(with Nathan Ilten; Mich. Math. J., 69(2):323-340, 2020)
41)
Immaculate line bundles on toric varieties
(with Jaroslaw Buczynski, Lars Kastner, Anna-Lena Winz;
Pure and Applied Mathematics Quarterly, 16(4):1147-1217, 2020)
42)
Displaying the cohomology of toric line bundles
(with David Ploog; Izv. Math. 84(4), 683-693, 2020)
43)
Toric co-Higgs sheaves
(with Frederik Witt;
J Pure and Appl Algebra 225/8 (2021), 20 pages)
44)
Polyhedra, lattice structures, and extensions of semigroups
(with Alexandru Constantinescu and Matej Filip;
JLMS 106/4, 3938-4008 (2022))
45)
Versality in toric geometry
(with Alexandru Constantinescu and Matej Filip;
J. Algebra 609, 1-43 (2022))
46)
Exceptional sequences of 8 line bundles on P1^3
(with Martin Altmann;
J. Algebr. Comb. 56/2, 305--322 (2022))
47)
Extensions of toric line bundles
(with Amelie Flatt and Lutz Hille;
Math. Z. 304/1 (2023))
48)
Die Infizierung des Z^2
Elemente der Mathematik 78, 155-167 (2023)
49)
The structure of exceptional sequences on toric varieties
of Picard rank two
(with Frederik Witt;
ALCO = Algebraic Combinatorics, Volume 7 (2024) no. 4, pp. 1039-1074)
50)
Nobodies are Perfect, their Semigroups are not
(On the finite generation of valuation semigroups on toric surfaces)
(with Christian Haase and Alex Kuronya and Karin Schaller and Lena Walter;
Epijournal de Geom. Algebr., EPIGA 8, Article 6, 72 p. (2024))
51)
Exceptional sequences of line bundles on projective bundles
(with Andreas Hochenegger + Frederik Witt;
arXiv:2303.10924 [math.AG])
52)
Toric Sheaves and Polyhedra
(with Andreas Hochenegger + Frederik Witt;
arXiv:2412.03476 [math.AG])
53)
Acyclic toric sheaves
(with Andreas Hochenegger + Frederik Witt;
Algebras and Representation Theory (2026) 29:411-422
54)
The Weil decoration of the Horrocks-Mumford bundle
(with Andreas Hochenegger + Frederik Witt;
arXiv:2603.22979 [math.AG])