András Cristian Lőrincz

University of Oklahoma
David and Judi Proctor Department of Mathematics

I am an Assistant Professor at the University of Oklahoma.
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. Equivariant D-modules on 2x2xn hypermatrices (with M. Perlman), arXiv:2309.07697, Transactions of the American Mathematical Society, accepted.
  2. Holonomic functions and prehomogeneous spaces, arXiv:2102.00766, Selecta Mathematica, accepted.
  3. Borel-Moore homology of determinantal varieties (with C. Raicu), arXiv:2110.08197, Algebraic Geometry, accepted.
  4. On the collapsing of homogeneous bundles in arbitrary characteristic, arXiv:2008.08270, Annales Scientifiques de l’École Normale Supérieure, accepted.
  5. Local cohomology on a subexceptional series of representations (with J. Weyman), Annales de l'Institut Fourier 73: 747-782 (2023).
  6. Local Euler obstructions for determinantal varieties (with C. Raicu), Topology and its Applications 313: Paper No. 107984, 21 pp (2022).
  7. Representation varieties of algebras with nodes (with R. Kinser), Journal of the Institute of Mathematics of Jussieu 21: 2215-2245 (2022).
  8. Minimal free resolutions of ideals of minors associated to pairs of matrices, Proceedings of the American Mathematical Society 149: 1857-1873 (2021).
  9. Iterated local cohomology and Lyubeznik numbers for determinantal rings (with C. Raicu), Algebra & Number Theory 14: 2533-2569 (2020).
  10. Equivariant D-modules on alternating senary 3-tensors (with M. Perlman), Nagoya Mathematical Journal 243: 61-82 (2021).
  11. Algebraic analysis on rotation data (with M. F. Adamer, A.-L. Sattelberger, B. Sturmfels), Algebraic Statistics 11: 189–211 (2020).
  12. On categories of equivariant D-modules (with U. Walther), Advances in Mathematics 351: 429-478 (2019).
  13. Decompositions of Bernstein-Sato polynomials and slices, Transformation Groups 25: 577-607 (2020).
  14. Free resolutions of orbit closures of Dynkin quivers (with J. Weyman), Transactions of the American Mathematical Society 372: 2715-2734 (2019).
  15. 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).
  16. Singularities of zero sets of semi-invariants for quivers, Journal of Commutative Algebra 13: 361-380 (2021).
  17. 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).
  18. The b-functions of semi-invariants of quivers, Journal of Algebra 482: 346-364 (2017).

Preprints:

  1. Archimedean zeta functions, singularities, and Hodge theory (with D. Davis and R. Yang), arXiv:2412.07849.
  2. Singularities of orthogonal and symplectic determinantal varieties, arXiv:2311.07549.
  3. Nearby and vanishing cycles for the generic determinantal hypersurfaces (with R. Yang), preprint.

Other:

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

Contact Information:

Office: 816 PHSC
Email: lorincz[at]ou.edu