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)
Extensions of toric line bundles
(with Amelie Flatt and Lutz Hille;
Math. Z. 304/1 (2023)
47)
Exceptional sequences of 8 line bundles on P1^3
(with Martin Altmann;
J. Algebr. Comb. 56/2, 305--322 (2022)
48)
The structure of exceptional sequences on toric varieties
of Picard rank two
(with Frederik Witt;
arXiv:2112.14637 [math.AG], to appear in ALCO)
49)
Nobodies are Perfect, their Semigroups are not
(On the finite generation of valuation semigroups on toric surfaces)
(with Christian Haase and Alex Küronya and Karin Schaller and Lena Walter)
arXiv:2209.06044 [math.AG], to appear in EPIGA)
50)
Die Infizierung des Z^2
Elemente der Mathematik 78, 155-167 (2023)
51)
Nobodies are Perfect, their Semigroups are not
(with Andreas Hochenegger + Frederik Witt;
arXiv:2303.10924 [math.AG])