51社区黑料

Preprints

  1. Local Equations for Hilbert Schemes of Points. With Francesco Meazzini and Andrea Petracci. []
  2. Locally Trivial Deformations of Toric Varieties. With Sharon Robins. []

Refereed Publications

  1. Rational Curves in Projective Toric Varieties. With Jake Levinson. (Math. Z., to appear) []
  2. Gröbner cones for Finite Type Cluster Algebras. With Karolyn So. (Journal of Combinatorial Algebra, to appear) []
  3. Deformation Theory for Finite Cluster Complexes. With Alfredo N谩jera Ch谩vez and Hipolito Treffinger. (Math. Z. 309, 66 (2025)) []
  4. Local Euler characteristics of A_n-singularities and their application to hyperbolicity. With Nils Bruin and Zhe Xu. (EPIGA Volume 9 (February 6, 2025) epiga:12665) []
  5. Toric Degenerations of Low Degree Hypersurfaces. With Oscar Lautsch. (Canad. Math. Bull. 66 (2023), no. 4, pp. 1231 - 1236) []
  6. Tropical Tangents for Complete Intersection Curves. With Yoav Len. (Math. of Computation 92 (2023), no. 340, pp. 931 - 979) []
  7. Khovanskii-finite rational curves of arithmetic genus two. With Ahmad Mokhtar. (Michigan Math. J. 73 (2023), no. 5, pp. 1059-1082) []
  8. Fano Schemes of Complete Intersections in Toric Varieties. With Tyler L. Kelly. (Math. Z. 300 (2022), no. 2, 1529鈥�1556.) []
  9. Appendix to Wall Crossing for Newton-Okounkov bodies and the tropical Grassmannian. By Laura Escobar and Megumi Harada. (IMRN (2022), no. 7, pp. 5152 - 5203) []
  10. Khovanskii-Finite Valuations, Rational Curves, and Torus Actions. With Milena Wrobel. (J. Comb. Algebra 4 (2020), no. 2, 141-166) []
  11. Algebraic Hyperbolicity for Surfaces in Toric Threefolds. With Christian Haase. (J. Algebraic Geom. 30 (2021), 573-602) []
  12. Deformations of Smooth Complete Toric Varieties: Obstructions and the Cup Product. With Charles Turo. (Algebra Number Theory 14 (2020), no. 4, 907-925) []
  13. Singular Curves of Low Degree and Multifiltrations from Osculating Spaces. With Jarosław Buczyński and Emanuele Ventura. (IMRN 2020, no. 21, 8139-8182.) []
  14. Projective duals to algebraic and tropical hypersurfaces. With Yoav Len. (P. London Math. Soc. 119(5) (2019) pp. 1234-1278) []
  15. Fano Schemes for Generic Sums of Products of Linear Forms. With Hendrik Süß. (J. Algebra Appl. 19 (2020), no. 7) []
  16. Fujita's Freeness Conjecture for T-Varieties of Complexity One. With Klaus Altmann. (Michigan Math. J. 69 (2020), no. 13, 4198-4232) []
  17. Classifying Fano Complexity-One T-Varieties via Divisorial Polytopes. With Marni Mishna and Charlotte Trainor. (Manuscripta Mathematica 158(3) (2019) pp. 463-286) []
  18. Rational Complexity-One T-Varieties are Well-Poised. With Christopher Manon. (IMRN (2019), no. 13, pp. 4198-4232) []
  19. On Fano Schemes of Toric Varieties. With Alexandre Zotine. (SIAM J. on Appl. Algebra and Geom. 1(1) (2017) pp. 152-174) []
  20. Vanishing Cotangent Cohomology for Plücker Algebras. With Jan Christophersen. (Comm. Algebra 45 (2017) no. 9 pp. 3929-3947). []
  21. Unobstructed Stanley-Reisner Degenerations for Dual Quotient Bundles on G(2,n). With Charles Turo. (J. Pure Appl. Algebra 221 (2017) pp. 119-134) []
  22. Fano Schemes of Lines on Toric Surfaces. (Beitr. Algebra Geom. (2016) 57:751-763) []
  23. K-Stability for Fano Manifolds with Torus Action of Complexity One. With Hendrik S眉脽. (Duke Math. J. 166 (2017) no. 1 pp. 177-204). []
  24. F-Split and F-Regular Varieties with a Diagonalizable Group Action. With Piotr Achinger and Hendrik S眉脽. (Journal of Algebraic Geometry 26 (2017), pp. 603-654). []
  25. Product ranks of the 3 by 3 Determinant and Permanent. With Zach Teitler. (Canad. Math. Bull. 59 (2016), no. 2 pp. 311-319) []
  26. Fano Schemes of Determinants and Permanents. With Melody Chan. (Algebra and Number Theory 9 (2015) no. 3 pp. 629-679). []
  27. Equivariant Vector Bundles on T-Varieties. With Hendrik S眉脽. (Transformation Groups 20 (2015) no. 4 pp. 1043-1073). []
  28. Degenerations to Unobstructed Fano Stanley-Reisner Schemes. With Jan Christophersen. (Math. Z. 278 (2014) 1-2 pp. 131-148) []
  29. Hilbert Schemes and Toric Degenerations for Low Degree Fano Threefolds. With Jan Christophersen. (J. reine angew. Math. 717 (2016) pp. 77-100) []
  30. Families of Invariant Divisors on Rational Complexity-One T-Varieties. With Andreas Hochenegger. (J. Algebra 392 (2013), 52-68) []
  31. Upgrading and Downgrading Torus Actions. With R. Vollmert. (J. Pure Appl. Algebra 217 (2013) no. 9) []
  32. Exceptional Sequences on Rational C*-Surfaces. With Andreas Hochenegger. (Manuscripta Mathematica 142 (2013), 1-34) []
  33. Toric Degenerations of Fano Threefolds Giving Weak Landau-Ginzburg Models. With Victor Przyjalkowski and Jacob Lewis. (J. Algebra 374 (2013), 104-121) []
  34. Mutations of Laurent Polynomials and Flat Families with Toric Fibers. (SIGMA 8 (2012), 047) []
  35. VersalDeformations -- a package for computing versal deformations and local Hilbert schemes. (Journal of Software for Algebra and Geometry 4 (2012), pp. 12-16) []
  36. Calculating Generators of Multigraded Algebras. With Lars Kastner. (Journal of Symbolic Computation 53 (2013) pp. 22-33) []
  37. The Geometry of T-Varieties. With K. Altmann, L. Petersen, H. Süß, R. Vollmert. (Contributions to Algebraic Geometry, IMPANGA Lecture Notes, EMS (2012)) []
  38. Deformations of Rational T-Varieties. With Robert Vollmert. (J. Algebraic Geometry 21 (2012) pp. 473-493) []
  39. 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 )
  40. Polarized Complexity-One T-Varieties. With Hendrik S眉脽. (Michigan Mathematical Journal 60 (2011) no. 3 pp. 561-578) []
  41. Deformations of Smooth Toric Surfaces. (Manuscripta Mathematica 134 (2011) pp. 123-137) []
  42. AG Codes from Polyhedral Divisors. With Hendrik S眉脽. (Journal of Symbolic Computation 45 (2010) no. 7 pp. 734-756) []
  43. One-Parameter Toric Deformations of Cyclic Quotient Singularities. (Journal of Pure and Applied Algebra 213 (2009) pp. 1086-1096) []
  44. Calculating Milnor Numers and Versal Component Dimensions from P-resolution Fans. (Bolyai Soc. Math. Stud. 23 (2013) pp. 99-107 ) []

Theses

  1. Deformations of Rational Varieties with Codimension-One Torus Action. Doctoral Thesis, FU Berlin, 2010. [urn:nbn:de:kobv:188-fudissthesis000000018440-0]
  2. On Toric Deformations of Cyclic Quotient Singularities. Diploma Thesis, 2007.