Jorge Martín-Morales


Centro Universitario Defensa

Academia General Militar

Ctra. de Huesca s/n.

50090 Zaragoza, Spain

Phone: +34 976 73 98 49

Fax: +34 976 73 98 24

Email: jorge AT unizar DOT es

Google Scholar

Education:     BSc Mathematics (2004), University of Seville (Spain)

Academic Position:     Associate Professor (Profesor) at Centro Universitario de la Defensa

Teaching load 2015-2016:     Matemáticas IIII (2nd year BSc Engineering in Industrial Organization)

Research Interests:     Singularity Theory, Computational D-modules, Noncommutative Gröbner bases

 

J. Martín-Morales. Embedded Q-Resolutions and Yomdin-Lê Surface Singularities. PhD dissertation, IUMA-University of Zaragoza, December 2011. URL: http://zaguan.unizar.es/record/6870. Advisors: Enrique Artal Bartolo and José Ignacio Cogolludo Agustín, see Mathematics Genealogy Project.

 

Recent Preprints and Working Papers


 

  • In Preparation

E. Artal Bartolo, J.I. Cogolludo-Agustín, and J. Martín-Morales. Quotient methods for hypocycloid curves.

Jorge Martín-Morales. Mixed Hodge Structure and complex Jordan form of Yomdin-Lê Surface Singularities.

V. Levandovskyy and J. Martín-Morales. Computing the preimage of a left ideal under a G-algebra morphism.

E. León-Cardenal, J. Martín-Morales, and Juan Viu-SoS. Motivic zeta functions and quotient singularities.

 

  • Preprints

J.I. Cogolludo-Agustín and J. Martín-Morales. The correction term for the Riemann-Roch formula of quotient singularities and associated invariants. (Submitted), 2018.

E. Artal Bartolo, J.I. Cogolludo-Agustín, and J. Martín-Morales. Coverings of rational ruled normal surfaces. (Submitted), 2017.

M. Avendaño and J. Martín-Morales. Bivariate trinomials over finite fields. (Submitted), 2017.

 

Main Publications


 

     

 2016 -- 2018 

  15.   E. Artal Bartolo, J.I. Cogolludo-Agustín, and J. Martín-Morales. Wirtinger curves, Artin groups, and hypocycloids. Accepted in Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM, 2017. DOI: 10.1007/s13398-017-0437-0. Preprint at arXiv:1705.03268.
       
  14.   M. Avendaño, V. Martín-Molina, J. Martín-Morales, J. Ortigas-Galindo. An algebraic approach to the minimum-cost multi-impulse orbit transfer problem. J. Guid. Control Dynam. 39 (2016), no. 8, 1734–1743. DOI: 10.2514/1.G001598. Preprint at arXiv:1508.02243.
       
  13.   J. Martín-Morales. Semistable Reduction of a Normal Crossing Q-Divisor. Ann. Mat. Pur. Appl. 195 (2016), no. 5, 17491769. DOI: 10.1007/s10231-015-0546-3. Preprint at arXiv:1401.3926.
       
  12.   J.I. Cogolludo-Agustín, J. Martín-Morales, and J. Ortigas-Galindo. Numerical Adjunction Formulas for Weighted Projective Planes and Counting Lattice Points. Kyoto J. Math. 56 (2016), no. 3, 575–598. DOI: 10.1215/21562261-3600184. Preprint at arXiv:1506.01168.

 

     

 2013 -- 2015 

  11.   J. Martín-Morales. 2-Jordan Blocks for the Eigenvalue λ = 1 of Yomdin-Lê Surface Singularities. C. R. Acad. Sci. Paris, Ser. I 353 (2015), 161–165. DOI: 10.1016/j.crma.2014.11.006.
       
  10.   J. Martín-Morales. Embedded Q-Resolutions for Yomdin-Lê Surface Singularities. Isr. J. Math. 204 (2014), no. 1, 97–143. DOI: 10.1007/s11856-014-1078-z. Preprint at arXiv:1206.0454.
       
  9.-   E. Artal Bartolo, J. Martín-Morales, and J. Ortigas-Galindo. Cartier and Weil Divisors on Varieties with Quotient Singularities. Int. J. Math. 25 (2014), no. 11, 1450100, 20 pp. DOI: 10.1142/S0129167X14501006. Preprint at arXiv:1104.5628.
       
  8.-   J.I. Cogolludo-Agustín, J. Martín-Morales, and J. Ortigas-Galindo. Local invariants on quotient singularities and a genus formula for weighted plane curves. Int. Math. Res. Notices 2014, no. 13, 3559–3581. DOI: 10.1093/imrn/rnt052. Preprint at arXiv:1206.1889.
       
  7.-   E. Artal Bartolo, J. Martín-Morales, and J. Ortigas-Galindo. Intersection Theory on Abelian-Quotient V-Surfaces and Q-Resolutions. J. Singul. 8 (2014), 11–30. DOI: 10.5427/jsing.2014.8b. Preprint at arXiv:1105.1321.
       
  6.-   J. Martín-Morales. Monodromy Zeta Function Formula for Embedded Q-Resolutions. Rev. Mat. Iberoam. 29 (2013), no. 3, 939–967. DOI: 10.4171/RMI/745. Preprint at arXiv:1106.4917.
     

 

 2007 -- 2012 

  5.-   V. Levandovskyy and J. Martín-Morales. Algorithms for Checking Rational Roots of b-functions and their Applications. J. Algebra 352 (2012), no. 1, 408–429. DOI: 10.1016/j.jalgebra.2011.12.002. Preprint at arXiv:1003.3478.
       
  4.-   M.A. Marco-Buzunáriz and J. Martín-Morales. Graded betti number of the logarithmic derivation module. Comm. Algebra 38 (2010), no. 11, 4348–4361. DOI: 10.1080/00927870903366918. Preprint at arXiv:0904.3465.
       
  3.-   J. Martín-Morales and A.M. Oller-Marcén. On the number of irreducible components of the representation variety of a family of one-relator groups. Internat. J. Algebra Comput. 20 (2010), no. 1, 77–87. DOI: 10.1142/S0218196710005558. Preprint at arXiv:0805.4716.
       
  2.-   J. Martín-Morales and A.M. Oller-Marcén. Combinatorial aspects of the character variety of a family of one-relator groups. Topology Appl. 156 (2009), no. 14, 2376–2389. DOI: 10.1016/j.topol.2009.06.011. Preprint at arXiv:0805.4716.
       
  1.-   R.M. Falcón and J. Martín-Morales. Gröbner bases and the number of Latin squares related to autotopisms of order 7. J. of Symbolic Comput. 42 (2007), no. 11-12, 1142–1154. DOI: 10.1016/j.jsc.2007.07.004.

 

Proceedings in MathSciNet


 

  4.-   V. Levandovskyy and J. Martín-Morales. Central characters, Bernstein-Sato polynomials and associated stratifications. Effective Methods in Algebraic Geometry (MEGA), 2013.
       
     3.-   E. Artal Bartolo, J. Martín-Morales, and J. Ortigas-Galindo. Q-Resolutions and Intersection Numbers. Monografías Matemáticas "García de Galdeano" 37, 13–23 (2012). Preprint available here.
       
  2.-   D. Andres, V. Levandovskyy, and J. Martín-Morales. Principal intersection and Bernstein-Sato polynomial of an affine variety. ISSAC 2009, 231–238, ACM, New York, 2009. DOI: 10.1145/1576702.1576735.
       
  1.-   V. Levandovskyy and J. Martín-Morales. Computational D-module theory with SINGULAR, comparison with other systems and two new algorithms. ISSAC 2008, 173–180, ACM, New York, 2008. DOI: 10.1145/1390768.1390794.

 

Other Refereed Publications


 

  4.-   J. Martín-Morales and A.M. Oller-Marcén. Computing Volumes of Solids of Revolution with Double Integrals.  College Math. J. 45 (2014), no. 3, 219–221. DOI: 10.4169/college.math.j.45.3.219. Preprint at arXiv:1205.2204.
       
  3.-   D. Andres, M. Brickenstein, V. Levandovskyy, J. Martín-Morales, and H. Schönemann. Constructive D-module theory with Singular. Math. Comput. Sci. 4 (2010), no. 2-3, 359–383. DOI: 10.1007/s11786-010-0058-x.
       
  2.-   J. Martín-Morales, J. Muñoz-Escolano, and A.M. Oller-Marcén. Empleo didáctico de juegos que se matematizan mediante grafos. Una experiencia. Contextos Educativos: Revista de Educación 12 (2009), 137164. Download the article at redined.
       
  1.-   J. Gago-Vargas, I. Hartillo-Hermoso, J. Martín-Morales, and J.M. Ucha-Enríquez. Sudokus and Gröbner bases: not only a divertimento. Computer algebra in scientific computing, 155–165, Lecture Notes in Comput. Sci., 4194, Springer, Berlin, 2006. DOI: 10.1007/11870814_13.

 

Software


 

D. Andres, V. Levandovskyy, and J. Martín-Morales. A SINGULAR 3.0 library for computing the stratification associated with local b-functions. stratbfun.lib, 2011. Available soon at SINGULAR.

D. Andres, V. Levandovskyy, and J. Martín-Morales. A SINGULAR 3.0 library for computations with algebraic D-modules for varieties. dmodvar.lib, 2008. Available at SINGULAR.

V. Levandovskyy and J. Martín-Morales. A SINGULAR 3.0 library for computations with algebraic D-modules. dmod.lib, 2005. Available at SINGULAR.

 

Links


-) Mathematics Genealogy Project:   MGP.

-) Real Sociedad Matemática Española:   RSME.

-) Maths - arXiv.org e-Print archive:   arXiv.

-) Mathematical Reviews on the Web:   MathSciNet.

-) Volúmenes de revolución (método de capas):   Temas Matemáticos.

-) My OLD clustrmaps:   ClustrMaps.

 

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