András Cristian Lőrincz

Humboldt-Universität zu Berlin
Institut für Mathematik

I am a Dirichlet Postdoctoral Fellow of the Berlin Mathematical School, working in the Algebraic Geometry group at Humboldt University of Berlin.
I received my Ph.D. from the University of Connecticut under the supervision of Prof. Jerzy Weyman.

Curriculum Vitae

Research Interests:

Algebraic Geometry, Representation Theory, Commutative Algebra, D-modules.

Published & accepted papers:

  1. On the collapsing of homogeneous bundles in arbitrary characteristic, arXiv:2008.08270, Annales Scientifiques de l’École Normale Supérieure, accepted.
  2. Local Euler obstructions for determinantal varieties (with C. Raicu), arXiv:2105.00271, Topology and its Applications (special Hyper-JARCS issue), accepted.
  3. Local cohomology on a subexceptional series of representations (with J. Weyman), arXiv:1910.13820, Annales de l'Institut Fourier, accepted.
  4. Representation varieties of algebras with nodes (with R. Kinser), arXiv:1810.10997, Journal of the Institute of Mathematics of Jussieu, accepted.
  5. Minimal free resolutions of ideals of minors associated to pairs of matrices, Proceedings of the American Mathematical Society 149: 1857-1873 (2021).
  6. Iterated local cohomology and Lyubeznik numbers for determinantal rings (with C. Raicu), Algebra & Number Theory 14: 2533-2569 (2020).
  7. Equivariant D-modules on alternating senary 3-tensors (with M. Perlman), Nagoya Mathematical Journal 243: 61-82 (2021).
  8. Algebraic analysis on rotation data (with M. F. Adamer, A.-L. Sattelberger, B. Sturmfels), Algebraic Statistics 11: 189–211 (2020).
  9. On categories of equivariant D-modules (with U. Walther), Advances in Mathematics 351: 429-478 (2019).
  10. Decompositions of Bernstein-Sato polynomials and slices, Transformation Groups 25: 577-607 (2020).
  11. Free resolutions of orbit closures of Dynkin quivers (with J. Weyman), Transactions of the American Mathematical Society 372: 2715-2734 (2019).
  12. Equivariant D-modules on binary cubic forms (with C. Raicu and J. Weyman), Communications in Algebra 47: 2457-2487 (issue in honor of G. Lyubeznik) (2019).
  13. Singularities of zero sets of semi-invariants for quivers, Journal of Commutative Algebra 13: 361-380 (2021).
  14. Bernstein-Sato polynomials for maximal minors and sub-maximal Pfaffians (with C. Raicu, U. Walther and J. Weyman), Advances in Mathematics 307:224-252 (2017).
  15. The b-functions of semi-invariants of quivers, Journal of Algebra 482: 346-364 (2017).

Preprints:

  1. Borel-Moore homology of determinantal varieties (with C. Raicu), arXiv:2110.08197, submitted.
  2. Holonomic functions and prehomogeneous spaces, arXiv:2102.00766, submitted.

In preparation:

  1. Equivariant perverse sheaves on toric varieties (with U. Walther), in progress.
  2. Characters of equivariant D-modules on affine spherical varieties, in progress.

Other:

Ph.D. Thesis: Bernstein-Sato polynomials for quivers
Research Statement

Contact Information:

Office: 1.425
Phone: +49 (0)30-2093-45368
Email: lorincza[at]hu-berlin.de