András Cristian Lőrincz

Department of Mathematics  

Purdue University

I am a Golomb Visiting Assistant Professor of Mathematics at Purdue University.
I have received my Ph.D. at the University of Connecticut in May 2016 under the supervision of Prof. Jerzy Weyman.

Curriculum Vitae

Research Interests:

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

Published & accepted papers:

  1. On categories of equivariant D-modules (with U. Walther), Advances in Mathematics 351: 429-478 (2019).
  2. Decompositions of Bernstein-Sato polynomials and slices, arXiv:1802.07760, Transformation Groups, accepted (31 pages).
  3. Free resolutions of orbit closures of Dynkin quivers (with J. Weyman), arXiv:1801.00193, Transactions of the American Mathematical Society, accepted (19 pages).
  4. Equivariant D-modules on binary cubic forms (with C. Raicu and J. Weyman), arXiv:1712.09932, Communications in Algebra (volume in honor of G. Lyubeznik), accepted (30 pages).
  5. Singularities of zero sets of semi-invariants for quivers, arXiv:1509.04170, Journal of Commutative Algebra, accepted (19 pages).
  6. The b-functions of semi-invariants of quivers, Journal of Algebra 482: 346-364 (2017).
  7. 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).


  1. Representation varieties of algebras with nodes (with R. Kinser), arXiv:1810.10997, submitted (19 pages).
  2. Equivariant D-modules on alternating senary 3-tensors (with M. Perlman), arXiv:1809.08955, submitted (18 pages).
  3. Iterated local cohomology and Lyubeznik numbers for determinantal rings (with C. Raicu), arXiv:1805.08895, submitted (33 pages).

In preparation:

  1. Minimal free resolutions of ideals of minors associated to pairs of matrices, in progress.
  2. Local cohomology on a subexceptional series of representations (with J. Weyman), in progress.
  3. Equivariant perverse sheaves on toric varieties (with U. Walther), in progress.


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

Teaching (Spring 2019):

MA 351: Elementary Linear Algebra (Office hours:  Tu 1:30 - 2:30, W 11 - 12)

Contact Information:

Office: MATH 402
Phone: (765) 494-1937
Email: alorincz[at]