Yairon Cid Ruiz
On 26/06/2019, I defended my PhD thesis at the Departament
de Matemàtiques i Informàtica of the Universitat de Barcelona.
I am part of the ARCADES network.
My advisor was Carlos D'Andrea.
In September 2019, I will start as a postdoctoral researcher at the Max Planck Institute for Mathematics in the Sciences in the group led by Bernd Sturmfels.
Here is my Curriculum Vitae.
Here is a copy of my PhD thesis.
Address: Gran Via de les Corts Catalanes, 585, 08007 Barcelona, Spain.
Email: ycid at ub dot edu.
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, 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.
- Bounding the degrees of a minimal μ-basis for a rational surface parametrization, to appear in J. Symbolic Comput., journal version, arXiv:1611.07506.
A D-module approach on the equations of the Rees algebra, to appear in J. Commut. Algebra, 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, to appear in J. Algebra Appl., journal version, arXiv:1802.07202.
(with Laurent Busé and Carlos D'Andrea), Degree and birationality of multi-graded rational maps, arXiv:1805.05180.
Multiplicity of the saturated special fiber ring of height two perfect ideals, to appear in Proc. Amer. Math. Soc., arXiv:1807.03189.
(with Aron Simis), Degree of rational maps via specialization, arXiv:1901.06599.
- Related to “Degree and birationality of multi-graded rational maps”:
- 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.