José Luis Cisneros-Molina

Publications

Research Articles

• Indices of vector fields for mixed functions. Boletín de la Sociedad Matemática Mexicana 30, 101, 2024.
  Junto con Agustín Romano Velázquez.
• Milnor fibration theorem for differentiable maps. Research in the Mathematical Sciences, Volume 11, article number 19, 2024.
  Junto con Aurélio Menegon.
• Fibration theorems à la Milnor for analytic maps with non-isolated singularities. São Paulo Journal of Mathematical Sciences, 2023.
  Joint work with Aurélio Menegon, José Seade and Jawad Snoussi.
• Multiple points of a simplicial map and image-computing spectral sequences. Journal of Singularities, Volume 24, 190-212, 2022.
  Joint work with David Mond.
• Milnor's Fibration Theorem for Real and Complex Singularities. In Handbook of Geometry and Topology of Singularities II, Springer Verlag, 2021.
  Joint work with José Seade.
• Relative group (co)homology theories with coefficients and the comparison homomorphism. Quaestiones Mathematicae, Vol. 14, Issue 8, 1107-1132, 2021.
  Joint work with José Antonio Arciniega-Nevárez and Luis Jorge Sánchez Saldaña.
• Geometric Viewpoint of Milnor's Fibration Theorem. In Introduction to Lipschitz Geometry of Singularities. Lecture Notes in Mathematics, vol 2280. Springer, 2020.
  Joint work with Haydée Aguilar-Cabrera.
• Finite dimensional Lie algebras in singularities. In Handbook of Geometry and Topology of Singularities I, Springer Verlag, 2020.
  Joint work with Meral Tosun.
• The real embedding method to study mixed functions. In: A Panorma of Singularities, Contemporary Mathematics, Vol. 742, 13-30, 2020.
  Joint work with Agustín Romano Velázquez.
• Equivalence of Milnor and Milnor-Lê fibrations for real analytic maps. International Journal of Mathematics, Vol. 30, No. 14, 2019. Corrected version in the ArXiv.
  Errata to Equivalence of Milnor and Milnor-Lê fibrations for real analytic maps. International Journal of Mathematics, Vol 32, No. 10, 2021.
  Joint work with Aurélio Menegon.
• Lê's vanishing polyhedron for a family of mixed functions. Bulletin of the London Mathematical Society, 51(6):1022-1038, 2019.
  Joint work with Aurélio Menegon.
• Classification of polar weighted homogeneous singularities. In: Singularities in Geometry, Topology, Foliations and Dynamics, Trends in Mathematics, Birkhäuser, 77-104, 2017.
  Joint work with Agustín Romano Velázquez.
• Comparison of relative group (co)homologies, Boletín de la Sociedad Matemática Mexicana, 23, 41-74, 2017.
  Joint work with José Antonio Arciniega-Nevárez.
• On the topology of real analytic maps, International Journal of Mathematics, Vol. 25, No. 7, 1-30, 2014.
  Joint work with Nivaldo G. Grulha Jr and José Seade, electronic version.
• Polynomials in control theory parametrized by their roots, International Journal of Mathematics and Mathematical Sciences, Vol. 2012, 19 páginas, Article ID 595076, 2012.
  Joint work with Baltazar Aguirre and Eduardo Frías.
• Milnor Fibrations and the concept of d-regularity for analytic map germs. In: Real and Complex Singularities, Contemporary Mathematics, Vol. 569, 1-28, 2012.
  Joint work with José Seade and Jawad Snoussi.
• Milnor Fibrations for Real and Complex Singularities. In: Topology of Algebraic Varieties and Singularities, Contemporary Mathematics, Vol. 538, 345-362, 2011.
  Joint work with José Seade and Jawad Snoussi.
• About the existence of Milnor Fibrations, Real and Complex Singularities, London Mathematical Society Lecture Notes Series 380, 82-103, 2010.
  Joint work with Raimundo Nonato Araújo dos Santos
• Milnor Fibrations and d-regularity for real analytic Singularities, International Journal of Mathematics, Vol. 21, No. 4, 419 - 434, 2010.
  Joint work with José Seade and Jawad Snoussi.
• Refinements of Milnor's Fibration Theorem for Complex Singularities, Advances in Mathematics, Vol. 222, 937-970, 2009.
  Joint work with José Seade and Jawad Snoussi
• Join Theorem for Polar Weighted Homogeneous Singularities. In: Singularities II: Geometric and Topological Aspects, Contemporary Mathematics, Vol. 475, 43-59, 2008.
• Characteristic classes and transversality, Topology and its Applications, Vol. 154, 1220-1235, 2007.
  Joint work with Marcelo Aguilar and Eduardo Frías
• An invariant of 2×2 matrices, Electronic Journal of Linear Algebra, Vol. 13, 146-152,2005.
• A note on torsion in K₃ of the real numbers, Boletín de la Sociedad Matemática Mexicana, Vol. 10(3), 117-128, 2004.
• The Bloch invariant as a characteristic class in B(SL₂(C), T), Homology, Homotopy and Applications, Vol.5(1), 325-344, 2003.
  Joint work with John D. S. Jones
• The η-invariant of the twisted Dirac operators of S³ /Γ, Geometriae Dedicata, Vol. 84, 207-228, 2001.

Books Edited

• Handbook of Geometry and Topology of Singularities VII, Springer Verlag, 2025.
• Handbook of Geometry and Topology of Singularities VI: Foliations, Springer Verlag, 2024.
• Handbook of Geometry and Topology of Singularities V: Foliations, Springer Verlag, 2024.
• Handbook of Geometry and Topology of Singularities IV, Springer Verlag, 2023.
• Handbook of Geometry and Topology of Singularities III, Springer Verlag, 2022.
• Handbook of Geometry and Topology of Singularities II, Springer Verlag, 2021.
• Handbook of Geometry and Topology of Singularities I, Springer Verlag, 2020.
• Proceedings of the 15th International Workshop on Real and Complex Singularities, 22-28th July, 2018, in honor of Maria Ruas and Terence Gaffney's 70th birthdays and Marcelo Saia's 60th birthday, ICMC-USP, São Carlos, Brazil, Journal of Singularities, Vol. 22, 2020.
• Singularities in Geometry, Topology, Foliations and Dynamics, Trends in Mathematics, Birkhäuser, 2017.
• Singularities II: Geometric and Topological Aspects, Contemporary Mathematics, Vol. 475, 2008.
• Singularities I: Algebraic and Analytic Aspects Contemporary Mathematics, Vol. 474, 2008.