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Singularities and Applications

Publications



Published or accepted
  1. Piotr Migus, Laurenţiu Păunescu, Mihai Tibăr: On higher Lipschitz invariants.
    To appear in Journal of the Mathematical Society of Japan.

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

  3. Alexandru Dimca, Gabriel Sticlaru: Bourbaki modules and the module of Jacobian derivations of projective hypersurfaces.
    To appear in Collectanea Mathematica.

  4. Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson: Equivariant toric geometry and Euler-Maclaurin formulae.
    Communications on Pure and Applied Mathematics, 79 (2026), 449--822.

  5. László Koltai, Tamás László, András Némethi: Multiplier ideals of normal surface singularities.
    Transactions of the American Mathematical Society, 379 (2026), 1709--1733.

  6. Zsolt Baja, Tamás László: Flat semigroups and weighted homogeneous surface singularities.
    Algebraic & Geometric Topology 26 (2026), 201--226.

  7. Alvaro Ribot, Emil Horobeţ, Anna Seigal, Ettore Teixeira Turatti: Decomposing tensors via rank-one approximations.
    SIAM Journal on Matrix Analysis and Applications 47 (2026), Iss. 1.

  8. Yongqiang Liu, Laurenţiu Maxim, Botong Wang: Maximal twisted Betti numbers of complex hyperplane arrangement complements.
    International Mathematics Research Notices, Volume 2026, Issue 6 (2026).

  9. Anca Măcinic: Addition-deletion of a smooth conic for free curves.
    Nagoya Mathematical Journal 261 (2026).

  10. Laurenţiu Maxim, Jörg Schürmann: Weighted Ehrhart theory via equivariant toric geometry.
    Advances in Mathematics 488 (2026), Article 110771.

  11. Piotr Migus: Newton-Puiseux analysis for interpretability and calibration of complex-valued neural networks.
    Neural Networks 195 (2026), Article 108172.

  12. Adam Parusínski, Laurenţiu Păunescu: On Teissier's example of an equisingularity class that cannot be defined over the rationals.
    Annales Polonici Mathematici 135 (2025), 265--279.

  13. Nicolas Dutertre, Juan Antonio Moya Pérez: Le-Greuel-type formulas for some mappings from (R^n, 0) to (R^2, 0).
    Research in the Mathematical Sciences 12, article 92 (2025).

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

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

  16. 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.

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

  18. 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.

  19. 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.

  20. Laurenţiu Maxim, Ruijie Yang: Higher Du Bois and figher rational singularities of hypersurfaces.
    Advances Studies in Pure Mathematics 89 (2025), 375--402.

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

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

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

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

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

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

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

  28. 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.

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

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

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

Preprints
  1. Alexandru Dimca, Piotr Pokora: On the Jacobian algebras of Ziegler pairs of plane arrangements. Preprint.

  2. Alexandru Dimca, Gabriel Sticlaru: On type three complex plane curves. Preprint.

  3. Alexandru Dimca, Gabriel Sticlaru: Graded Betti numbers of the Jacobian algebra of surfaces in P^3. Preprint.

  4. Jacques Darné, Alexander I. Suciu: Lower central series and split extensions. Preprint.

  5. Alexander I. Suciu: Koszul modules, holonomy Lie algebras, and resonance of groups and CDGAs. Preprint.

  6. Alexander I. Suciu: Hyperplane arrangements with non-formal Milnor fibers. Preprint.

  7. Alexandru Dimca, Gabriel Sticlaru: On the degree of the singular subscheme of hypersurfaces in P^n. Preprint.

  8. Gaiane Panina, Dirk Siersma: Counting normals to closed curves in R^3. Preprint.

  9. Piotr Migus, Laurenţiu Păunescu, Mihai Tibăr: Bi-Lipschitz invariance of Newton polygons along gradient canyons. Preprint.

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

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

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

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

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

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

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

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

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

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

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

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

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