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-Universität zu 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. Iterated local cohomology and Lyubeznik numbers for determinantal rings (with C. Raicu), arXiv:1805.08895, Algebra & Number Theory, accepted (33 pages).
  2. Algebraic analysis on rotation data (with M. F. Adamer, A.-L. Sattelberger, B. Sturmfels), arXiv:1912.00396, Algebraic Statistics, accepted (21 pages).
  3. Equivariant D-modules on alternating senary 3-tensors (with M. Perlman), arXiv:1809.08955, Nagoya Mathematical Journal, accepted (19 pages).
  4. On categories of equivariant D-modules (with U. Walther), Advances in Mathematics 351: 429-478 (2019).
  5. Decompositions of Bernstein-Sato polynomials and slices, Transformation Groups (2019), DOI: 10.1007/S00031-019-09526-7 (31 pages).
  6. Free resolutions of orbit closures of Dynkin quivers (with J. Weyman), Transactions of the American Mathematical Society 372: 2715-2734 (2019).
  7. 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).
  8. Singularities of zero sets of semi-invariants for quivers, arXiv:1509.04170, Journal of Commutative Algebra, accepted (19 pages).
  9. The b-functions of semi-invariants of quivers, Journal of Algebra 482: 346-364 (2017).
  10. 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).

Preprints:

  1. Minimal free resolutions of ideals of minors associated to pairs of matrices, arXiv 2001.08709, submitted (13 pages).
  2. Local cohomology on a subexceptional series of representations (with J. Weyman), arXiv:1910.13820, submitted (19 pages).
  3. Representation varieties of algebras with nodes (with R. Kinser), arXiv:1810.10997, submitted (19 pages).
  4. De Rham cohomology of local cohomology groups with determinantal support (with C. Raicu), preprint.

In preparation:

  1. Equivariant perverse sheaves on toric varieties (with U. Walther), in progress.
  2. Holonomic functions on prehomogeneous vector spaces, in progress.
  3. Characters of equivariant D-modules on affine spherical varieties, in progress.
  4. Localization at linear free divisors and D-modules (with C. Sevenheck), in progress.

Other:

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

Contact Information:

Office: 1.425
Phone: +49-341-9959-773
Email: lorincza[at]hu-berlin.de