Man

Giancarlo Urzúa

Asociate Professor

FACULTAD DE MATEMATICAS, PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

Santiago, Chile

Líneas de Investigación


Algebraic Geometry

Educación

  •  Mathematics, UNIVERSITY OF MICHIGAN. Estados Unidos, 2008
  •  Mathematics, PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE. Chile, 2003

Experiencia Académica

  •   Profesor Asociado Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Matemáticas

    Chile

    2011 - A la fecha

  •   Visiting Assistant Professor Full Time

    University of Massachusetts Amherst

    Estados Unidos

    2008 - 2011

Formación de Capital Humano


Roberto Villaflor
http://w3.impa.br/~rvilla/
Postdoctorate UC Chile, 2021-2024, ANID.

Arié Stern, graduated on July 12th, 2013, UC Chile. Master thesis title:
“Nuevas singularidades en superficies estables simplemente conexas con Pg=0”.
Currently in the PhD program at the University of Massachusetts Amherst, USA.

Rodrigo Codorniu, graduated on June 16th, 2014, UC Chile. Master thesis title:
“Superficies fibradas étale simplemente conexas”.
Currently in the PhD program at Université de Nice, France.

José Ignacio Yáñez, November 27th, 2014, UC Chile. Undergraduate thesis title: “Caracterización de singularidades de du Val”.

Sebastián Eterovic, graduated on June 17th, 2015, UC Chile. Master thesis title:
“Logarithmic Chern slopes of arrangements of rational sections in Hirzebruch surfaces”.
PhD at University of Oxford. Currently postdoc at UC Berkeley.

José Ignacio Yáñez, graduated June 12th, 2017, UC Chile. Master thesis title:
“Characterization of Kollár Surfaces”.
Currently in the PhD program at the University of Utah, USA.

Fernando Figueroa, December 6th, 2017, UC Chile. Undergraduate thesis title:
“La pendiente de Chern para arreglos de rectas”.

Fernando Figueroa, July 11th, 2019, UC Chile. Master Thesis title:
“Optimal bounds for many T-singularities in stable surfaces”.
Currently in the PhD program at Princeton University, USA.

Sergio Troncoso, June 21st, 2020. Ph.D. Thesis title:
“On The Geography of Surfaces of General Type With Fixed Fundamental Group”.

Nicolás Vilches, July 6th, 2020. Master Thesis title:
“P-Resoluciones Extremales y Agujeros de Gusano en Espacios de Moduli de Superficies”
Currently in the PhD program at Columbia University, USA.

Matías Modinger, December 17th, 2020, UC Chile. Undergraduate thesis title:
“¿Cuándo podemos parametrizar curvas algebraicas?”.

Diana Torres, Ph.D. student UC Chile, expected graduation June 2021.

Javier Reyes, Master student UC Chile.

Yerko Torres, Ph.D. student UC Chile.



 

Article (18)

Bounding Tangencies of Sections on Elliptic Surfaces
Families of explicit quasi-hyperbolic and hyperbolic surfaces
Optimal bounds for T-singularities in stable surfaces
Characterization of Kollar surfaces
Milnor fibers and symplectic fillings of quotient surface singularities
On ?/3-Godeaux Surfaces
CHERN SLOPES OF SURFACES OF GENERAL TYPE IN POSITIVE CHARACTERISTIC
FLIPPING SURFACES
The Craighero-Gattazzo surface is simply connected
Identifying neighbors of stable surface
KSBA surfaces with elliptic quotient singularities, pi_1=1, p_g=0, and K^2=1,2
Q-Gorenstein smoothings of surfaces and degenerations of curves
Chern slopes of simply connected complex surfaces of general type are dense in [2,3]
A simply connected numerical Campedelli surface with an involution
Arrangements of rational sections over curves and the varieties they define
ARRANGEMENTS OF CURVES AND ALGEBRAIC SURFACES
On line arrangements with applications to 3-nets
Spin symplectic 4-manifolds near Bogomolov-Miyaoka-Yau line

Proyecto (6)

NEW DIRECTIONS FOR SURFACES OF GENERAL TYPE AND THEIR MODULI
New directions for surfaces of general type and their moduli
PERMISSIBLE DEGENERATIONS, QHD SINGULARITIES, AND KSBA P_G=0 SURFACES
PERMISSIBLE DEGENERATIONS, QHD SINGULARITIES, AND KSBA P_G=0 SURFACES
MODULI SPACES OF GENUS ZERO SURFACES OF GENERAL TYPE
MODULI SPACES OF GENUS ZERO SURFACES OF GENERAL TYPE
19
Giancarlo Urzúa

Asociate Professor

FACULTAD DE MATEMATICAS, PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

Santiago, Chile

1
Natalia García

Assistant Professor

Matemática

Pontificia Universidad Católica de Chile

Santiago, Chile