singularities of algebraic varieties, Jet spaces and arc spaces, Riemann surfaces

1) Direction of thesis

a)Direction of the master thesis's of Rolando Suaréz. Theses titled, "Modificación de Nash de superficies tóricas"
Universidad de Talca, 2017

2 Jury member of thesis committee

a) Participation in the reporting commission and jury of the master's thesis of Arié Stern.
Theses titled, “Nuevas Singularidades en Superficies estables simplemente conexas con
P_g=0”, and prepared under the direction of Prof. Giancarlo Urzua,
Pontificia Universidad Católica de Chile, July of 2013.

b) Participation in the reporting commission and jury of the phd's thesis of Alexis Almendras.
Theses titled, “Arcos y MDS- Códigos de tipo generalizado”, and prepared under the direction
of Prof. Andrea Tironi, Universidad de Concepción, 2016.

c)Participation in the reporting commission and jury of the master's thesis of Roberto Díaz.
Theses titled, “Propiedad de densidad en variedades
tóricas afines no lisas”, and prepared under the direction of Prof. Alvaro Liendo ,
Universidad de Talca, 2016.

d)Participation in the reporting commission and jury of the master's thesis of Gonzalo Manzano.
Theses titled, “Campos vectoriales en Variedades Tóricas”, and prepared under the direction of Prof. Alvaro Liendo,
Universidad de Talca, 2016.

e)Participation in the reporting commission and jury of the master's thesis of Luis Cid.
Theses titled, “Campos vectoriales racionalmente integrables y acciones racionales del grupo aditivo”, and prepared under the direction of Prof. Alvaro Liendo,
Universidad de Talca, 2017.

f)Participation in the reporting commission and jury of the phd's thesis of Sebastián Sarmient.
Theses titled, “Real Structures on marked Schottky space”, and prepared under the direction
of Prof. Rubén Hidalgo, Universidad Técnica Federico Santa María, 2017.

2) Postgraduate courses taught

a) Complement of Algebra, Mathematics graduate program, Universidad de Talca,
first trimester 2013

b) Introduction to Algebraic Geometry I, Mathematics PhD program, Universidad de Talca,
second trimester 2013.

c) Introduction to Algebraic Geomentry II, Mathematics PhD program, Universidad de Talca,
third trimester 2013.

d) Algebra 1, Mathematics graduate program, Universidad de Talca, first trimester 2014.

e) Algebra 2, Mathematics graduate program, Universidad de Talca, second trimester 2014.

f) Algebra 3, Mathematics graduate program, Universidad de Talca, second trimester 2014.

g) Introduction to deformation Theory, Mathematics PhD program, Universidad de Talca, first trimester 2017.

h) Deformation Theory, Mathematics PhD program, Universidad de Talca, second trimester 2017.

i) Complement of Topology, Mathematics, PhD program, Universidad de Talca, first trimester 2018.

k) Singularities and Topology of Hypersurfaces, PhD program, Universidad de Talca, second trimester 2018.

l) Cohomology Singular, Mathematics PhD program, Universidad de Talca, third trimester 2018.

m)Complement of Topology, Mathematics, PhD program, Universidad de Talca, first trimester 2019.

Talks in conferences:

1) El peso de Weierstrass de los puntos de hiperosculación de las curvas generalizadas de Fermat. Geometry at the Frontier II, Universidad la Frontera, Pucón, Chile, 2017

2. Deforming Spaces of m-jets of hypersurfaces singularities, Universidad nacional autónoma de México,Unidad Cuernavaca, Cuernavaca, México, 2017

3. Deformando los Espacios de m-jets desingularidades de hipersuperficies. UC Workshop on AG, Ponticie UniversidadCatóllica de Chile, Santiago, Chile, 2015

4. Deformando los Espacios de m-jets desingularidades aisladas de hipersuperficies, Congreso de Matemáticasde Capricornio, Iquique, Chile, 2015.

5. Familias de espacios de m-jets y de arcos, Jornadas de matemáticade la zona sur, Trailanqui, Chile, 2014.

6. Introducción a la geometría Torica, Escuela CIMPA, Valparaíso, Chile 2014.