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.

For more information about me, here is my CV.

Research Interests:

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

Published & accepted papers:

  1. Free resolutions of orbit closures of Dynkin quivers (with J. Weyman), arXiv:1801.00193, Transactions of the AMS, accepted (19 pages).
  2. Equivariant D-modules on binary cubic forms (with C. Raicu and J. Weyman), arXiv:1712.09932, Communications in Algebra, accepted (30 pages).
  3. Singularities of zero sets of semi-invariants for quivers, arXiv:1509.04170, Journal of Commutative Algebra, accepted (19 pages).
  4. The b-functions of semi-invariants of quivers, Journal of Algebra 482: 346-364 (2017).
  5. 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. On categories of equivariant D-modules (with U. Walther), arXiv:1806.02428, submitted (36 pages).
  2. Iterated local cohomology and Lyubeznik numbers for determinantal rings (with C. Raicu), arXiv:1805.08895, submitted (33 pages).
  3. Decompositions of Bernstein-Sato polynomials and slices, arXiv:1802.07760, submitted (31 pages).
  4. Equivariant D-modules on ⋀3 C6 (with M. Perlman), preprint (15 pages).
  5. Geometry of node splitting (with R. Kinser), preprint.

In preparation:

  1. Minimal free resolutions of orbit closures of the equioriented A3 quiver, in progress.

Other:

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

Teaching (Fall 2018):

MA 265: Linear Algebra (Office hours:  Tu, Thu  6:00 - 7:00 p.m.)

Contact Information:

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