Research
Research Interests: Singularity Theory, Topology of Manifolds, Algebraic Plane Curves, Weighted Projective Spaces, Computational Algebra, Braid Monodromy.
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Published papers:
- Cogolludo-Agustín, José Ignacio, Martín Morales, Jorge, and Ortigas-Galindo, Jorge. Numerical Adjunction Formulas for Weighted Projective Planes and Counting Lattice Points. Kyoto Journal of Mathematics, Volume 56 (3), 2016, pages 575–598.
- Avendano, Martín; Martín-Molina, Verónica, Martín Morales, Jorge and Ortigas-Galindo, Jorge. An algebraic approach to the minimum-cost multi-impulse orbit transfer problem. Journal of Guidance, Control, and Dynamics. Vol. 39, No. 8 (2016), pages 1734-1743.
- Avendano, Martín; Martín-Molina, Verónica and Ortigas-Galindo, Jorge. Approximate solutions of the hyperbolic Kepler’s equation. Celestial Mechanics & Dynamical Astronomy, volume 123, número 4, 2016, pages 435-451.
- Avendaño, Martin and Ortigas-Galindo, Jorge. Interpolation of Ideals. Revista Matemática Iberoamericana, Volume 31, Issue 1, 2015, pages 291–302.
- Artal Bartolo, Enrique; Martín Morales, Jorge, and Ortigas-Galindo, Jorge. Cartier and Weil Divisors on Varieties with Quotient Singularities. International Journal of Mathematics, Volume 25, 2014, pages 1–20.
- Avendano, Martín; Martín-Molina, Verónica and Ortigas-Galindo, Jorge. Solving Kepler's equation via Smale's α-theory. Celestial Mechanics & Dynamical Astronomy, Volume 119, Issue 1, 2014, pages 27-44.
- Cogolludo-Agustín, José Ignacio, Martín Morales, Jorge, and Ortigas-Galindo, Jorge. Local Invariants on Quotient Singularities and a Genus Formula for Weighted Plane Curves. IMRN (International Mathematics Research Notices), Volume 2014, Nº 13, 2014, pages 3559-3581.
- Artal Bartolo, Enrique; Martín Morales, Jorge, and Ortigas-Galindo, Jorge. Intersection Theory on Abelian-Quotient V-Surfaces and Q-Resolutions. Journal of Singularities, Volume 8, 2014, pages 11-30.
- Ortigas-Galindo, Jorge. Generators of the cohomology algebra of the complement to a rational algebraic curve in the weighted projective plane. Comptes Rendus Mathematique, Volume 352, Issue 1, 2014, pages 65–70.
- Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio, and Ortigas-Galindo, Jorge. Kummer Covers and Braid Monodromy. Journal of the Institute of Mathematics of Jussieu, volume 13, issue 03, 2014, pp. 633-670.
- Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio, and Ortigas-Galindo, Jorge. Computation-free presentation of the fundamental group of generic (p,q)-torus curves. Algebraic and Geometric Topology, Volume 12, Issue 3, 2012, pages 1265–1272.
Proceedings:
- Avendano, Martín; Martín-Molina, Verónica and Ortigas-Galindo, Jorge. Cálculo de la posición de un satélite con precisión arbitraria. Libro del II Congreso Nacional de i+d en Defensa y Seguridad (ISBN: 978-84-940583-2-5), 2014, pages 387-394.
- Artal Bartolo, Enrique; Martín Morales, Jorge, and Ortigas-Galindo, Jorge. Q-Resolutions and Intersection Numbers. Monografías del Sem. Matemático García de Galdeano, Volume 37, 2011, pages 13-23.