I am an FWO
postdoctoral fellow at Ghent University.
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 interests lie in commutative algebra and algebraic geometry.
I like topics related to blow-up algebras, local cohomology,
multiplicities, differential operators, Hilbert schemes, symbolic powers, syzygies, regularity and edge ideals.
- 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 72, pp. 175–202 (2021), journal version, arXiv:1909.07253.
(with Vivek Mukundan), Multiplicity of the saturated
special fiber ring of height three Gorenstein ideals, Acta Mathematica Vietnamica 46, pp. 663–674 (2021), journal version, arXiv:1909.13633.
Mixed multiplicities and projective degrees of rational
maps, Journal of Algebra 566 (2021) pp. 136–162, journal version, arXiv:2001.00547.
(with Roser Homs and Bernd Sturmfels), Primary ideals and
their differential equations, Foundations
of Computational Mathematics 21, pp. 1363–1399 (2021), journal version, arXiv:2001.04700.
(with Marc Chardin and Aron Simis), Generic freeness of
local cohomology and graded specialization,
Transactions of the American Mathematical Society 375
(2022), no. 1, 87–109, journal version, 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, Journal of Algebra 590 (2022) 394–412, journal version, arXiv:2010.11862.
Equations and multidegrees for inverse symmetric matrix
pairs, Le Matematiche Vol. LXXVI (2021) - Issue II,
pp. 369–381, journal version, 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, Journal of Pure and
Applied Algebra 226, 2022, journal version, arXiv:2104.03385.
(with Fatemeh Mohammadi and Leonid Monin), Multigraded algebras and multigraded linear series, arXiv:2104.05397.
Fiber-full modules and a local freeness criterion for local cohomology modules, arXiv:2106.07777.
(with Ritvik Ramkumar), The fiber-full scheme, arXiv:2108.13986.
(with Federico Castillo, Fatemeh Mohammadi and Jonathan Montaño), Double Schubert polynomials do have saturated Newton polytopes, arXiv:2109.10299.
(with Oliver Clarke and Fatemeh Mohammadi), A study of nonlinear multiview varieties, arXiv:2112.06216.
(with Ritvik Ramkumar), A local study of the fiber-full scheme, arXiv:2202.06652.
(with Claudia Polini and Bernd Ulrich), Generalized Jouanolou duality, weakly Gorenstein rings, and applications to blowup algebras, arXiv:2205.03837.