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Singularities and Applications

Publications



Published or accepted
  1. Adam Parusínski, Laurenţiu Păunescu: On Teissier's example of an equisingularity class that cannot be defined over the rationals. To appear in Annales Polonici Mathematici.

  2. László Koltai, Tamás László, András Némethi: Multiplier ideals of normal surface singularities. To appear in Transactions of the American Mathematical Society.

  3. Takuro Abe, Alexandru Dimca, Piotr Pokora: A new hierarchy for complex plane curves. To appear in Canadian Mathematical Bulletint.

  4. Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson: Equivariant toric geometry and Euler-Maclaurin formulae. To appear in Communications on Pure and Applied Mathematics.

  5. Gabriel E. Monsalve, Mihai Tibăr: Global index of real polynomials. Proceedings of the Royal Society of Edinburgh. Section A: Mathematics 155 (2025), 2020--2048.

  6. Alexandru Dimca: Some remarks on plane curves related to freeness. Bull. Math. Soc. Sci. Math. Roumanie 68 (116), no. 3 (2025), 281--292 .

  7. Cezar Joiţa, Mihai Tibăr: Bifurcations of polynomial maps with diffeomorphic and connected fibers. Bull. Math. Soc. Sci. Math. Roumanie 68 (116), no. 3 (2025), 293--302.

  8. Alexandru Suciu: Resonance varieties and Lie algebras of matroids and hyperplane arrangements. Bull. Math. Soc. Sci. Math. Roumanie 68 (116), no. 3 (2025), 349--382.

  9. Donu Arapura, Laurenţiu Maxim, Botong Wang: Hodge-theoretic variants of the Hopf and Singer Conjectures. In Geometry and Topology of Aspherical Manifolds, Contemporary Mathematics 816 (2025), 93--103.

  10. Maciej Denkowski, Gaiane Panina, Dirk Siersma: Squared distance function on the configuration space of a planar spider with applications to Hooke energy and Voronoi distance. J. Geom. Phys. 210 (2025), Article 105424.

  11. Laurenţiu Maxim, Jörg Schürmann: Weighted Ehrhart theory via mixed Hodge modules on toric varieties. International Mathematics Research Notices, Vol. 2025, Issue 7, 1--25.

  12. Cezar Joiţa, Matteo Stockinger, Mihai Tibăr: Tame deformations of highly singular function germs. J. Geom. Phys. 213 (2025), Article 105471.

  13. Emil Horobeţ, Ettore Teixeira Turatti: When does subtracting a rank-one approximation decrease tensor rank?. Linear Algebra and its Appl. 709 (2025), 397--415.

  14. Yongqiang Liu, Laurenţiu Maxim, Botong Wang: Brylinski-Radon transformation and generic projections. Proc. Amer. Math. Soc. 152 (2024), 5279-5288.

  15. Laurenţiu Maxim, Mihai Tibăr: Morse numbers of complex polynomials. J. Topology 17 (2024), no. 4.

  16. Ying Chen, Cezar Joiţa, Mihai Tibăr: Deformations with fibre constancy. Bull. Sci. Math. 197 (2024), Article 103520.

  17. Yongqiang Liu, Laurenţiu Maxim, Botong Wang: Cohomology of Z-Local Systems on Complex Hyperplane Arrangement Complements .
    International Mathematics Research Notices 2024.

  18. Sylvain E. Cappell, Laurenţiu G. Maxim, Jörg Schürmann, Julius L. Shaneson: Equivariant toric geometry and Euler-Maclaurin formulae - An overview.
    Rev. Roumaine Math. Pures Appl. 69 (2024), 105--128.

  19. Mihai Tibăr: Local linear Morsifications. Rev. Roumaine Math. Pures Appl. 69 (2024), 295--303.

  20. Laurenţiu Păunescu, Satoshi Koike: The Lipschitz type of the geometric directional bundle. European Journal of Mathematics 10, article 30 (2024).

  21. Laurenţiu Maxim: On the topology of complex projective hypersurfaces. Research in the Mathematical Sciences, 11, article 14 (2024).

Preprints
  1. Marian Aprodu, Gavril Farkas, Claudiu Raicu, Alexander I. Suciu: The effective Chen ranks conjecture. Preprint.

  2. Emil Horobeţ: The geometry of higher order modern portfolio theory. Preprint.

  3. Zsolt Baja, Tamás László, András Némethi: Delta invariant of Q-cartier curve germs and the genus of representable numerical semigroups. Preprint.

  4. Yongqiang Liu, Laurenţiu Maxim, Botong Wang: Spectral sequences, Massey products and homology of covering spaces. Preprint.

  5. Yongqiang Liu, Laurenţiu Maxim, Botong Wang: Maximal twisted Betti numbers of complex hyperplane arrangement complements. Preprint.

  6. Mohammadali Aligholi, Laurenţiu Maxim, Jörg Schürmann: Around a class version of the Hodge index theorem for singular varieties. Preprint.

  7. Felix Rydell, Emil Horobeţ: Infinite Euclidean Distance Discriminants. Preprint.

  8. Bradley Dirks, Laurenţiu Maxim, Sebastian Olano: Hirzebruch-Milnor classes of local complete intersections, minimal exponent, and applications to higher singularities. Preprint.

  9. Alexandru Dimca, Giovanna Ilardi, Abbas Nasrollah Nejad: On strong Lefschetz property of 0-dimensional complete intersections and Veronese varieties. Preprint.

  10. Alexandru Dimca: On the module of derivations of a line arrangement. Preprint.

  11. Aline V. Andrade, Valentina Beorchia, Alexandru Dimca, Rosa M. Miró-Roig: Quasi-homogeneous singularities of projective hypersurfaces and Jacobian syzygies. Preprint.

  12. Anca Măcinic: Deletion-addition of a smooth conic for free curves. Preprint.

  13. Alexandru Dimca, Lukas Kuhne, Piotr Pokora: Free line arrangements with low maximal multiplicity. Preprint.

  14. Alvaro Ribot, Emil Horobeţ, Anna Seigal, Ettore Teixeira Turatti: Decomposing tensors via rank-one approximations. Preprint.

  15. Laurenţiu Maxim, Jörg Schürmann: Weighted Ehrhart theory via equivariant toric geometry. Preprint.

  16. Cezar Joiţa, Mihai Tibăr: The image complexity of an analytic map germ. Preprint.

  17. Cezar Joiţa, Dirk Siersma, Mihai Tibăr: Euclidean distance discriminants and Morse attractors. Preprint.