I am a postdoc at Ghent University in the Algebra
Previously, I was a postdoc at the Max Planck Institute for Mathematics in the Sciences in the group led by Bernd Sturmfels.
Before that, I was a PhD student in the Universitat de Barcelona under the supervision
of Carlos D'Andrea.
Here is my Curriculum Vitae.
Here is a copy of my PhD thesis.
Address: Department of Mathematics: Algebra and Geometry, Ghent University, Krijgslaan 281 – S25, 9000 Gent, Belgium.
Email: Yairon.CidRuiz at UGent dot be.
My main research interest is commutative algebra and its interactions with algebraic geometry and combinatorics.
I like topics related to blow-up algebras, local cohomology,
multiplicities, symbolic powers, syzygies, regularity and edge ideals. I am particularly interested in
the relations between blow-up algebras and certain criteria for the
birationality of rational maps. Recently, I got interested on
D-modules and its computational aspects.
- PhD in Mathematics and Computer Science, 2016-2019, summa cum
laude, Universitat de Barcelona, advisor: Carlos D'Andrea.
- Postgraduate Diploma Programme in Mathematics, 2015-2016, top prize student, The Abdus Salam International Centre for Theoretical Physics, advisor: Lothar Göttsche.
- Bachelor in Computer Science, 2009-2014, summa cum laude, Universidad Central "Marta Abreu" de Las Villas, advisor: Eberto Morgado.
Publications & Preprints
Bounding the degrees of a minimal μ-basis for a rational
surface parametrization, Journal of Symbolic Computation 95 (2019), 134–150, journal version, arXiv:1611.07506.
A D-module approach on the equations of the Rees algebra,
to appear in Journal of Commutative Algebra, journal version, arXiv:1706.06215.
Regularity and Gröbner bases of the Rees algebra of edge
ideals of bipartite graphs, Le Matematiche Vol 73 No 2 (2018), pp. 279–296, journal version, arXiv:1801.06731.
(with Sepehr Jafari, Beatrice Picone and Navid Nemati),
Regularity of bicyclic graphs and their powers,
Journal of Algebra and Its Applications 19 (2020), no. 3, 2050057, 38 pp., journal version, arXiv:1802.07202.
(with Laurent Busé and Carlos D'Andrea), Degree and
birationality of multi-graded rational maps,
Proceedings of the London Mathematical Society (3) 121 (2020) 743–787, journal version, arXiv:1805.05180.
Multiplicity of the saturated special fiber ring of height
two perfect ideals, Proceedings of the American Mathematical Society 148 (2020), no. 1, 59–70, journal version, arXiv:1807.03189.
(with Aron Simis), Degree of rational maps and
specialization, International Mathematics
Research Notices, rnaa183, 2020, journal version, arXiv:1901.06599.
Noetherian operators, primary submodules and symbolic
powers, Collectanea Mathematica 2020, journal version, arXiv:1909.07253.
(with Vivek Mukundan), Multiplicity of the saturated
special fiber ring of height three Gorenstein ideals, to
appear in Acta Mathematica Vietnamica, journal version, arXiv:1909.13633.
Mixed multiplicities and projective degrees of rational
appear in Journal of Algebra, journal version, arXiv:2001.00547.
(with Roser Homs and Bernd Sturmfels), Primary ideals and
their differential equations, to appear in Foundations
of Computational Mathematics, journal version, arXiv:2001.04700.
(with Marc Chardin and Aron Simis), Generic freeness of
local cohomology and graded specialization, to appear in
Transactions of the American Mathematical Society, arXiv:2002.12053.
(with Federico Castillo, Binglin Li, Jonathan Montaño and
Naizhen Zhang), When are multidegrees positive?,
Advances in Mathematics 374, 2020, journal version, arXiv:2005.07808.
(with Jonathan Montaño), Convex bodies and graded families of monomial ideals, arXiv:2010.07918.
(with Jonathan Montaño), Mixed mulitplicities of graded families of ideals, arXiv:2010.11862.
Equations and multidegrees for inverse symmetric matrix
pairs, to appear in Le Matematiche, arXiv:2011.04616.
(with Justin Chen, Marc Härkönen, Robert Krone and Anton
Leykin), Noetherian Operators in Macaulay2, arXiv:2101.01002.
(with Bernd Sturmfels), Primary decomposition with differential operators, arXiv:2101.03643.
(with Justin Chen), Primary decomposition of modules: a computational differential approach, arXiv:2104.03385.
(with Fatemeh Mohammadi and Leonid Monin), Multigraded algebras and multigraded linear series, arXiv:2104.05397.
- INRIA Sophia Antipolis, 6 months, 10/2017 - 03/2018, mentor: Lurent Busé.
- Johannes Kepler University Linz, 2 months, 10/2018 - 11/2018, mentor: Josef Schicho.