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. Archimedean zeta functions, singularities, and Hodge theory (with D. Davis and R. Yang), arXiv:2412.07849, to appear in Compositio Mathematica.
  2. Filtrations of D-modules along semi-invariant functions (with R. Yang), arXiv:2504.19383, to appear in Advances in Mathematics.
  3. Equivariant D-modules on 2x2xn hypermatrices (with M. Perlman), Transactions of the American Mathematical Society 377: 8125-8178 (2024).
  4. On the collapsing of homogeneous bundles in arbitrary characteristic, Annales Scientifiques de l’École Normale Supérieure 56: 1313-1337 (2023).
  5. Borel-Moore homology of determinantal varieties (with C. Raicu), Algebraic Geometry 10: 576-606 (2023).
  6. Holonomic functions and prehomogeneous spaces, Selecta Mathematica 29:69 (2023).
  7. Local cohomology on a subexceptional series of representations (with J. Weyman), Annales de l'Institut Fourier 73: 747-782 (2023).
  8. Local Euler obstructions for determinantal varieties (with C. Raicu), Topology and its Applications 313: Paper No. 107984, 21 pp (2022).
  9. Representation varieties of algebras with nodes (with R. Kinser), Journal of the Institute of Mathematics of Jussieu 21: 2215-2245 (2022).
  10. Minimal free resolutions of ideals of minors associated to pairs of matrices, Proceedings of the American Mathematical Society 149: 1857-1873 (2021).
  11. Iterated local cohomology and Lyubeznik numbers for determinantal rings (with C. Raicu), Algebra & Number Theory 14: 2533-2569 (2020).
  12. Equivariant D-modules on alternating senary 3-tensors (with M. Perlman), Nagoya Mathematical Journal 243: 61-82 (2021).
  13. Algebraic analysis on rotation data (with M. F. Adamer, A.-L. Sattelberger, B. Sturmfels), Algebraic Statistics 11: 189–211 (2020).
  14. On categories of equivariant D-modules (with U. Walther), Advances in Mathematics 351: 429-478 (2019).
  15. Decompositions of Bernstein-Sato polynomials and slices, Transformation Groups 25: 577-607 (2020).
  16. Free resolutions of orbit closures of Dynkin quivers (with J. Weyman), Transactions of the American Mathematical Society 372: 2715-2734 (2019).
  17. 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).
  18. Singularities of zero sets of semi-invariants for quivers, Journal of Commutative Algebra 13: 361-380 (2021).
  19. 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).
  20. The b-functions of semi-invariants of quivers, Journal of Algebra 482: 346-364 (2017).

Preprints:

  1. Filtrations on D-modules and multiplicities of roots of Bernstein-Sato polynomials (with R. Yang), arXiv:2609.05215.
  2. Some unipotent Arthur packets for p-adic split F4 (with L. Barchini), arXiv:2512.07014.
  3. Singularities of orthogonal and symplectic determinantal varieties, arXiv:2311.07549.
  4. Fourier transform of D-modules on prehomogeneous spaces (with L. Jiamin), preprint.

Other:

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

Contact Information:

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