Recent Publications

Recent Publications of apl. Prof. Dr. Jörg Schürmann

Laurenţiu Maxim and Jörg Schürmann. Weighted Ehrhart theory via mixed Hodge modules on toric varieties. International Mathematics Research Notices, March 2025. doi:10.1093/imrn/rnaf067.

Jörg Schürmann, Connor Simpson, and Botong Wang. A new generic vanishing theorem on homogeneous varieties and the positivity conjecture for triple intersections of Schubert cells. Compositio Mathematica, 161(1):1–12, January 2025. doi:10.1112/s0010437x24007462.

Sylvain E. Cappell, Laurenţiu G. Maxim, Jörg Schürmann, and Julius L. Shaneson. Equivariant toric geometry and Euler-Maclaurin formulae—an overview. Rev. Roumaine Math. Pures Appl., 69(2):105–128, June 2024. doi:10.59277/RRMPA.2024.105.128.

Laurenţiu Maxim and Jörg Schürmann. Weighted Ehrhart theory via equivariant toric geometry. arXiv e-prints, May 2024. arXiv:2405.02900.

Paolo Aluffi, Leonardo Mihalcea, Jörg Schürmann, and Changjian Su. Motivic Chern classes of Schubert cells, Hecke algebras, and applications to Casselman's problem. Annales Scientifiques de l'ÉNS, 57(1):87–141, February 2024. doi:10.24033/asens.2571.

Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann, and Changjian Su. From motivic Chern classes of Schubert cells to their Hirzebruch and CSM classes. In A glimpse into geometric representation theory, volume 804 of Contemp. Math., pages 1–52. American Mathematical Society, 2024. doi:10.1090/conm/804/16110.

Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann, and Changjian Su. Shadows of characteristic cycles, Verma modules, and positivity of Chern–Schwartz–MacPherson classes of Schubert cells. Duke Mathematical Journal, 172(17):3257 – 3320, November 2023. doi:10.1215/00127094-2022-0101.

Markus Banagl, Jörg Schürmann, and Dominik J. Wrazidlo. Topological gysin coherence for algebraic characteristic classes of singular spaces. arXiv e-prints, October 2023. arXiv:2310.15042.

Jörg Schürmann and Raimar Wulkenhaar. An algebraic approach to a quartic analogue of the Kontsevich model. Mathematical Proceedings of the Cambridge Philosophical Society, 174(3):471–495, May 2023. doi:10.1017/S0305004122000366.

Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann, and Changjian Su. From motivic Chern classes of Schubert cells to their Hirzebruch and CSM classes. arXiv e-prints, December 2022. arXiv:2212.12509.

Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann, and Changjian Su. Positivity of Segre-MacPherson classes. In Facets of algebraic geometry. Vol. I, volume 472 of London Math. Soc. Lecture Note Ser., pages 1–28. Cambridge Univ. Press, Cambridge, April 2022. doi:10.1017/9781108877831.001.

Laurenţiu G. Maxim and Jörg Schürmann. Constructible sheaf complexes in complex geometry and applications. In Handbook of Geometry and Topology of Singularities III, pages 679–791. February 2022. doi:10.1007/978-3-030-95760-5_10.

Laurentiu Maxim and Jörg Schürmann. Plethysm and cohomology representations of external and symmetric products. Adv. Math., 375:107373, December 2020. doi:10.1016/j.aim.2020.107373.

Laurentiu Maxim, Morihiko Saito, and Jörg Schürmann. Spectral Hirzebruch-Milnor classes of singular hypersurfaces. Math. Ann., 377(1-2):281–315, June 2020. doi:10.1007/s00208-018-1750-4.

Laurentiu Maxim, Morihiko Saito, and Jörg Schürmann. Thom-Sebastiani theorems for filtered D-modules and for multiplier ideals. Int. Math. Res. Notices, 2020(1):91–111, January 2020. doi:10.1093/imrn/rny032.

Jörg Schürmann and Jon Woolf. Witt groups of abelian categories and perverse sheaves. Ann. K-Theory, 4(4):621–670, December 2019. doi:10.2140/akt.2019.4.621.