Guillem Blanco

Research interests

I am interested in Algebraic Geometry and the study of Algebraic and Analytical Singularities. My research centers around the interaction between the birational study of singularities and the D-module theoretic approach. In this context, I am mainly focused on the theory of Bernstein-Sato polynomials and related invariants such as multiplier/Hodge ideals, jumping numbers, the complex zeta funtion, the Gauss-Manin connection and the theory of V-filtrations.

Publications

Monodromy conjecture for semi-quasihomogeneous hypersurfaces, pdf
with N. Budur and R. van der Veer.
To appear in Math. Nachr.
An algorithm for Hodge ideals, pdf
To appear in Math. Comp.
Yano's conjecture, pdf
Invent. Math., 226 (2021), 421-465
The minimal Tjurina number of irreducible germs of plane curve singularities, pdf
with M. Alberich-Carramiñana, P. Almirón and A. Melle-Hernández.
Indiana Univ. Math. J., 70 (2021), 1211-1220
Monomial generators of complete planar ideals, pdf
with M. Alberich-Carramiñana and J. Àlvarez Montaner.
J. Algebra Appl., 20 (2021), no. 3, 2150032
A note on a question of Dimca and Greuel, pdf
with P. Almirón.
C. R. Math. Acad. Sci. Paris, 357 (2019), no. 2, 205–208
Poles of the complex zeta function of a plane curve, pdf
Adv. Math., 350 (2019), 396–439
Effective computation of base points of ideals in two-dimensional local rings, pdf
with M. Alberich-Carramiñana and J. Àlvarez Montaner.
J. Symbolic Comput., 92 (2019), 93–109.
Computing multiplier ideals in smooth surfaces,
with F. Dachs-Cadefau.
Extended Abstracts February 2016. Positivity and Valuations.
Research Perspectives CRM Barcelona. Trends in Mathematics. vol. 9. Birkhäuser, Basel, 2018.

Guillem Blanco

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