Published
& accepted papers:
- On the collapsing of homogeneous bundles in arbitrary characteristic,
arXiv:2008.08270, Annales Scientifiques de l’École Normale Supérieure, accepted.
- Local Euler obstructions for determinantal varieties (with C. Raicu),
arXiv:2105.00271, Topology and its Applications (special Hyper-JARCS issue), accepted.
- Local cohomology on a subexceptional series of representations (with J. Weyman),
arXiv:1910.13820, Annales de l'Institut Fourier, accepted.
- Representation varieties of algebras with nodes (with R. Kinser), arXiv:1810.10997,
Journal of the Institute of Mathematics of Jussieu, accepted.
- Minimal free resolutions of ideals of minors associated to pairs of matrices,
Proceedings of the American Mathematical Society 149: 1857-1873 (2021).
- Iterated local cohomology and Lyubeznik numbers for determinantal rings (with C. Raicu), Algebra & Number
Theory 14: 2533-2569 (2020).
- Equivariant D-modules on alternating senary 3-tensors (with M. Perlman),
Nagoya Mathematical Journal 243: 61-82 (2021).
- Algebraic analysis on rotation data (with M. F. Adamer, A.-L. Sattelberger, B. Sturmfels), Algebraic Statistics
11: 189–211 (2020).
- On categories of equivariant D-modules (with U. Walther),
Advances in Mathematics 351: 429-478 (2019).
- Decompositions of Bernstein-Sato polynomials and
slices, Transformation Groups 25: 577-607 (2020).
- Free resolutions of orbit closures of Dynkin quivers (with J. Weyman), Transactions
of the American Mathematical Society 372: 2715-2734 (2019).
- 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).
- Singularities of zero sets of semi-invariants for quivers, Journal of Commutative Algebra 13: 361-380 (2021).
- 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).
- The b-functions
of semi-invariants of quivers, Journal of Algebra 482: 346-364 (2017).
Preprints:
- Borel-Moore homology of determinantal varieties (with C. Raicu), arXiv:2110.08197, submitted.
- Holonomic functions and prehomogeneous spaces, arXiv:2102.00766, submitted.
In
preparation:
- Equivariant perverse sheaves on toric varieties (with
U. Walther), in progress.
- Characters of equivariant D-modules on affine spherical
varieties, in
progress.
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