Education: BSc Mathematics (2004), University of Seville (Spain)
Academic Position: Associate Professor (Profesor) at Centro Universitario de la Defensa
Teaching load 2011-2012: Matemáticas I (1st 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.
Recent Preprints and Working Papers
In Preparation
E. Artal Bartolo, J.I. Cogolludo-Agustín, J. Martín-Morales, and J. Ortigas-Galindo. Fundamental Groups of the Complement of a Rotation-Invariant Curve.
J. Martín-Morales. Mixed Hodge Structure and complex Jordan form of Yomdin-Lê Surface Singularities.
J. Martín-Morales. Mixed Hodge Structure on the Cohomology of the Milnor Fiber in Terms of the Semistable Reduction of an Embedded Q-Resolution.
Preprints
J. Martín-Morales. Embedded Q-Resolutions for Yomdin-Lê Surface Singularities. (Submitted). Preprint at arXiv:1206.0454, 2012.
E. Artal Bartolo, J. Martín-Morales, and J. Ortigas-Galindo. Intersection Theory on Abelian-Quotient V-Surfaces and Q-Resolutions. (Submitted). Preprint at arXiv:1105.1321, 2011.
E. Artal Bartolo, J. Martín-Morales, and J. Ortigas-Galindo. Cartier and Weil Divisors on Varieties with Quotient Singularities. (Submitted). Preprint at arXiv:1104.5628, 2011.
Main Publications
7.-
J. Martín-Morales. Monodromy Zeta Function Formula for Embedded Q-Resolutions. Accepted in Rev. Mat. Iberoam. (2013). Preprint at arXiv:1106.4917.
6.-
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 (2013), DOI: 10.1093/imrn/rnt052. Preprint at arXiv:1206.1889.
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. 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. 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. 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. 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.Journal of Symbolic Comput. 42 (2007), no. 11-12, 1142–1154. DOI: 10.1016/j.jsc.2007.07.004.
Proceedings in MathSciNet
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.
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.
Other Refereed Publications
4.-
J. Martín-Morales and A.M. Oller-Marcén.Volumes of Solids of Revolution. A Unified Approach. (Submitted). Accepted in the College Mathematics Journal (2012). 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.
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), 137–164.
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.
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.
English
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