algebra, geometry, abelian varieties, algebraic curves, group actions, moduli spaces.

1. Thesis direction:

[A.] Advisor:
[A.1] PhD:
1. "Isogeous Jacobian varieties via intermediate coverings", by Estefanía Bravo, Doctorado en Ciencias mención Matemáticas, Universidad de Chile, March 2022.
2. "On the kernel of the Group algebra decomposition of a Jacobian variety", by Leslie Jiménez Palma. Doctorado en Ciencias mención Matemáticas, Universidad de Chile, June 2014.

[A.2] Master:
1. "Automorphisms and Weierstrass points on Riemann surfaces", by Rodrigo Contreras, Magister en Ciencias Matemáticas, Universidad de Chile. Expected date of graduation: May 2024.
2. “Equivalencia de Acciones de Grupos sobre Superficies de Riemann y Estratificación”, by Miguel Ángel Tello-Carrera, Magister en Ciencias Matemáticas, Universidad de Chile, April 2019.
3. "Weyl group actions over Jacobian varieties", by Miguel Román. Magíster en Matemáticas, Pontificia Universidad Católica de Chile, 2016.
4. "Clasificación topológica de acciones de grupos en Superficies de Riemann. Un método algebraico", by Camila Muñoz Santander, Magister en Ciencias Matemáticas, Universidad de Chile, May 2014.
5. "Polígonos hiperbólicos y Representaciones simplécticas para acciones de grupos en Superficies de Riemann, aplicaciones a Variedades Abelianas", by Sandy Schumacher, Magister en Ciencias Matemáticas, Universidad de Chile, 2012.
6. "Ecuaciones para Superficies de Riemann correspondientes a cubrimientos cíclicos primos", by Jaime Pinto, Magister en Ciencias Matemáticas, Universidad de Chile, 2012.
7. "Curvas de Fermat y descomposición de objetos (geométricos) asociados", by Patricio Barraza, Magister en Matemáticas, Pontificia Universidad Católica de Chile, 2009.

[B.] Co-tutorship (PhD):
1. "Curvas de tipo Fermat", by Jaime Pinto Doveris, Doctorado en Ciencias mención Matemáticas, Universidad de Chile, Agosto 2016. (Co-tutor, Tutor: Ángel Carocca).
2. "Acciones de grupos sobre el espacio de Riemann-Roch", by Daniela Vásquez Latorre. Advisor: Professor Angel Carocca from Universidad de La Frontera. Doctorado en Ciencias mención Matemáticas (PhD), Universidad de Chile, 2013.

2. Sponsoring for Postdoctorate:

Dr. Robert Auffarth, Conicyt-Fondecyt Postdoctorado 2015-2018.

3. Undergraduate monographies: 12.

[A] Talks,meetings and trips (most relevant, last 5 years)

- Talk at the special session Higher Dimensional Algebraic Geometry, in the 8th Iberoamerican Congress on Geometry. Universidad de La Frontera, Temuco, Chile. December 10 to 16, 2023.
- Talk at the Workshop Geometría Compleja y Dinámica Holomorfa -Aritmética, Universidad de La Frontera, Temuco, Chile. November 2 to 4, 2023.
- Talk in the Seminario de Geometria Algébrica, del Instituto de Matemática, Estatística e Computacao Científica, Universidade Estadual de Campinas. Campinas, Brasil. October 2 to 6, 2023.
- Talk at the Special session 2: Complex Geometry, in the 14th International ISAAC Congress, Riberao Preto, Brasil. July 17 to 21, 2023.
- Talk at the seminar Geometry, Arithmetic and Differential Equations of Periods (GADEPs), May 27 2022.
- Conference at the Workshop Geometry at the Frontier III 1/2, November 29 to December 2nd 2022, Puco ?n, Chile.
- Conference at the Special Session 16 Geometría Algebraica, at the VI Congreso Latinoamericano de Matem ?aticos. Virtual event- Montevideo, Uruguay, September 13-17, 2021.
- Conference at the Special Session Symbolic Computation: Theory, Algorithms and Applications, at the Mathematical Congress of the Americas. Virtual event- Buenos Aires, Argentina, July 19-24, 2021.
- EMALCA School, Costa Rica, July 29th to August 2nd, 2019.
- "Loci of Riemann and Klein Surfaces with Automorphisms" within Congreso Bienal RSME to be held in Santander 4-8 February 2019
- Special Session Loci of Riemann and Klein Surfaces with Automorphisms at the Meeting of the Catalan, Spanish and Swedish Math Societies, June 12-15 2017, Umeå, Sweden.
- Visiting Professor in Linköpings Universitet, June 16 -22 2017 and August 15-25 2016, Linköping, Sweden.
- Visiting Professor in Departamento de Análise, Universidade Federal Fluminense, January 22 - February 03, 2017. Niteroi, Brazil.
- Heath visiting Professor in Grinnell College, Spring semester 2015, Iowa, USA.
- Seminar at the Graduate Center CUNY, March 13, 2015, New York, USA.
- International Congress of Mathematicians, ICM2014, August 13-21 2014, Seoul, Korea.
- International Congress of Women Mathematicians, ICWM2014, 12 and 14 August 2014, Seoul, Korea.
- Sixth Iberoamerican Congress on Geometry and Bers 100th Birthday, May 19-22 2014, The Graduate Center CUNY, New York, USA.

[B] University and Departamental service

- Outreach to Society Committee, since 2006.

- Member of the Department Council, 2014 to 2019.

- Subdirector of the Students Affairs Direction, Faculty of Science, 2011 to 2014.

- Coordinator of the Master Program in Mathematics of the Faculty of Science, 2010 to 2013

- Organizer of the Colloquium of the Department. June 2006 to December 2008

[C] Sevice in the Mathematical Community

- Referee for various journals (including Journal of Pure and Applied Algebra, Archiv der Mathematik, Contemporary Mathematics).

- ANID (National research and development agency) grant review panels, since 2012

- CNA (National accreditation commission) experts record (to evaluate graduate programs in Chilean universities), 2019 -

- ANID Scientific Board of the Study Group for Mathematics, 2019 -

- External examiner: Ph.D. thesis of Irene Spelta, Università Degli Studi di Pavia, Italy, November 2020; Ph.D. thesis of María Elisa Valdés, Universidad de Concepción, Chile, August 2020; Ph.D thesis of Kelyane Abreu, Universidade Federal Fluminense, Brasil, April 2019; Ph.D. thesis of Robert Auffarth, Pontificia Universidad Católica de Chile, January 2014; Ph.D. thesis of Saúl Quispe Mendoza, Universidad de Concepción, May 2013; Ph.D. thesis of Martha Romero, Pontificia Universidad Católica de Chile, July 2013.

- Co-organizer, jointly with Herbert Lange, of the special session Abelian varieties at the Seventh Iberoamerican Congress on Geometry, January 22nd -26th 2018, Valladolid, Spain.

- Creator and organizer of the Math camp MATEA. It is a summer Math Camp for female high school students and Math teachers. Held in the Facultad de Ciencias, Universidad de Chile, January 3-6, 2017, 2018 and 2019. Website http://www.matea.cl. Currently managing on-line videos in Youtube.

- Member of the organizing committee "50th Anniversary Faculty of Science", several activities during 2015, Santiago, Chile.

- Organizer of the conference in honor of Rubé E. Rodréguez, Víctor González and Gonzalo Riera, 9-12 December 2014, Temuco, Chile.

- Organizer of the First Summer School on Geometry, 7-9 December 2010, Villarrica, Chile.

- Co-organizer of the Special session "Moduli problems" at the V Iberoamerican Congress on Geometry, jointly with Herbert Lange, 10-13 December 2010, Pucón, Chile.

- Member of the Chilean Mathematical Society, SOMACHI, since 2003.

[D] Engagement and outreach to society.
Every year I perform at least 4 outreach activities: talks at different schools (basic and high school level), reception of students who come to the Faculty to interview me, meetings on subjects relating to school education, women in math, etc. Here is a list of the most relevant activities I have performed in the last two years.

- Creator and organizer of the Campamento de Matemáticas MATEA para alumnas y profesores de enseñanza media (Summer Math Camp MATEA for female high school students and Math teachers), Facultad de Ciencias, Universidad de Chile, January 3-6, 2017, 2018 and 2019. Website http://www.matea.cl.
- Workshop for general public "Art and Geometry". Framed in the exhibition “Cien es un color. Artesanías, artes y matemáticas a 100 años de la Bauhaus”, of the artist Cornelia Vargas. XIV Bienal de Artes Mediales de Santiago: El cuarto mundo. Cultural center Gabriela Mistral GAM, Santiago, 2019.
- Conference: Matemáticas por diversión (Math for fun). Talk in the Center Father MANUEL ARRANZ (Community center for elder people), Talca, October 16 2018.
- Four (simultaneous) workshops, with the aid of graduate and undergraduate students "Geometría y arte" at the Fiesta de la Ciencia. Parque Metropolitano. Organized by PAR RMSurOriente de Explora Conicyt. October 13 - 14 2018.
- Conference:" Matemática en la Naturaleza" and Workshop "Tangramas". In the frame of the grant "Proyecto AníMATe", Universidad Católica del Maule, June 2018, Talca. (Workshop for (basic) school students at social risk who do not like Math)
- Stand "Geometría jugando", workshop for students from 3rd grade to high school. Colegio Calasanz de Ñuñoa, May 17 2018.
- Two radio programs for the show “Quiero ser científico" Radio Universidad de Chile. August 13 and 27 2018
- Gender Summit 12 for Science and Technology in Latin America. CEPAL. I presented a Poster “MateA 2017. Campamento de Matemáticas para alumnas y profesores de Enseñanza Media”, Santiago. December 6-7 2017.
- Conference “Matemáticas, belleza y arte”. 4th Festival de Matemáticas. Plaza de Armas, Talca. November 4 2017.
- Conference “Geometría, naturaleza y arte” . Primer Festival de Matemáticas de Valparaíso, Paseo Yugoslavo. December 17 2016.