Refereed Publications

  1. The Geometry of T-Varieties. With K. Altmann, L. Petersen, H. Süß, R. Vollmert. (To appear in Contributions to Algebraic Geometry, IMPANGA Lecture Notes) [arXiv:1102.5760]
  2. Deformations of Rational T-Varieties. With Robert Vollmert. (To appear in the Journal of Algebraic Geometry) [arXiv:0903.1393]
  3. ToricVectorBundles -- a package for computations with equivariant toric vector bundles in Macaulay2. With René Birkner and Lars Petersen. (Journal of Software for Algebra and Geometry 2 (2010), pp. 11-14)
  4. Polarized Complexity-One T-Varieties. With Hendrik Süß. (To appear in the Michigan Mathematical Journal) [arXiv:0910.5919]
  5. Deformations of Smooth Toric Surfaces. (Manuscripta Mathematica 134 (2011) pp. 123-137) [arXiv:0902.0529]
  6. AG Codes from Polyhedral Divisors. With Hendrik Süß. (Journal of Symbolic Computation 45 (2010) no. 7 pp. 734-756) [arXiv:0811.2696]
  7. One-Parameter Toric Deformations of Cyclic Quotient Singularities. (Journal of Pure and Applied Algebra 213 (2009) pp. 1086-1096) [arXiv:0801.2370]
  8. Calculating Milnor Numers and Versal Component Dimensions from P-resolution Fans. (To appear in proceedings of the conference Deformations of Surfaces, Bolyai Math. Society) [arXiv:0801.2900]

Preprints

  1. Toric Degenerations of Low Degree Fano Threefolds. With Jan Christophersen. [arXiv:1202.0510]
  2. Degenerations to Unobstructed Fano Stanley-Reisner Schemes. With Jan Christophersen. [arXiv:1102.4521]
  3. VersalDeformations -- a package for computing versal deformations and local Hilbert schemes. [arXiv:1107.2416]
  4. Exceptional Sequences on Rational C*-Surfaces. With Andreas Hochenegger. [arXiv:1106.4743]
  5. Families of Invariant Divisors on Rational Complexity-One T-Varieties. With Andreas Hochenegger. [arXiv:0906.4292]
  6. Upgrading and Downgrading Torus Actions. With R. Vollmert. [arXiv:1103.4010]
  7. Toric Degenerations of Fano Threefolds Giving Weak Landau-Ginzburg Models. With Victor Przyjalkowski and Jacob Lewis. [arXiv:1102.4664]

Other Publications

  1. Deformations of Rational Varieties with Codimension-One Torus Action. Doctoral Thesis, FU Berlin, 2010. [urn:nbn:de:kobv:188-fudissthesis000000018440-0]
  2. Torus Invariant Divisors. (in Oberwolfach Reports 2009 issue 1)
  3. On Toric Deformations of Cyclic Quotient Singularities. Diploma Thesis, 2007.