Publicaciones
Artículos de Investigación
- 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.
Junto con Aurélio Menegon, José Seade y Jawad Snoussi.
- Multiple points of a simplicial map and image-computing spectral sequences. Journal of Singularities, Volume 24, 190-212, 2022.
Junto con David Mond.
- Milnor's Fibration Theorem for Real and Complex Singularities. En Handbook of Geometry and Topology of Singularities II, Springer Verlag, 2021.
Junto con José Seade.
- Relative group (co)homology theories with coefficients and the comparison homomorphism. Quaestiones Mathematicae, Vol. 14, Issue 8, 1107-1132, 2021.
Junto con José Antonio Arciniega-Nevárez y Luis Jorge Sánchez Saldaña.
- Geometric Viewpoint of Milnor's Fibration Theorem. En 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. En Handbook of Geometry and Topology of Singularities I, Springer Verlag, 2020.
Junto con Meral Tosun.
- The real embedding method to study mixed functions. En: A Panorma of Singularities, Contemporary Mathematics, Vol. 742, 13-30, 2020.
Junto con Agustín Romano Velázquez.
- Equivalence of Milnor and Milnor-Lê fibrations for real analytic maps. International Journal of Mathematics, Vol. 30, No. 14, 2019. Versión corregida en el ArXiv.
Errata to Equivalence of Milnor and Milnor-Lê fibrations for real analytic maps. International Journal of Mathematics, Vol 32, No. 10, 2021.
Junto con Aurélio Menegon.
- Lê's vanishing polyhedron for a family of mixed functions, Bulletin of the London Mathematical Society, 51(6):1022-1038, 2019.
Junto con Aurélio Menegon.
- Classification of polar weighted homogeneous singularities, En: Singularities in Geometry, Topology, Foliations and Dynamics, Trends in Mathematics, Birkhäuser, 77-104, 2017.
Junto con Agustín Romano Velázquez.
- Comparison of relative group (co)homologies, Boletín de la Sociedad Matemática Mexicana, 23, 41-74, 2017.
Junto con José Antonio Arciniega-Nevárez.
- On the topology of real analytic maps, International Journal of Mathematics, Vol. 25, No. 7, 1-30, 2014.
Junto con Nivaldo G. Grulha Jr y José Seade, version electrónica.
- Polynomials in control theory parametrized by their roots, International Journal of Mathematics and
Mathematical Sciences, Vol. 2012, 19 páginas, Article ID 595076, 2012.
Junto con Baltazar Aguirre y Eduardo Frías.
- Milnor Fibrations and the concept of d-regularity for analytic map germs. En: Real and Complex Singularities, Contemporary Mathematics, Vol. 569, 1-28, 2012.
Junto con José Seade y Jawad Snoussi.
- Milnor Fibrations for Real and Complex Singularities. En: Topology of Algebraic Varieties and Singularities, Contemporary Mathematics, Vol. 538, 345-362, 2011.
Junto con José Seade y Jawad Snoussi.
- About the existence of Milnor Fibrations, Real and Complex Singularities, London Mathematical Society
Lecture Notes Series 380, 82-103, 2010.
Junto con 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.
junto con José Seade y Jawad Snoussi.
- Refinements of Milnor's Fibration Theorem for Complex Singularities, Advances in
Mathematics, Vol. 222, 937-970, 2009.
junto con José Seade y Jawad Snoussi
- Join Theorem for Polar Weighted Homogeneous Singularities. En: 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.
junto con Marcelo Aguilar y 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.
junto con John D. S. Jones
- The η-invariant of the twisted Dirac operators of S³ /Γ, Geometriae Dedicata, Vol. 84, 207-228,
2001.
Libros Editados
- 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.