Problemas de valores en la frontera en ecuaciones diferenciales, ecuaciones diferenciales no lineales, Analisis.

-Directora de tesis para Natham Aguirre Quiñonez. Doctorado en Matemáticas, Pontificia Universidad Católica de Chile, 2015-.

-Directora de tesis para José Ignacio Harismendy Magister en Matemáticas, Pontificia Universidad Católica de Chile, 2015-16.

-Patrocinio Post-Doc para NGUYEN , TAI PHUOC, Fondecyt Postdoctorado 3160207, 2016-2018. Boundary singularities of solutions to nonlinear elliptic equations and related problems.

-Patrocinio Post-Doc para Shengbing Deng, Fondecyt Postdoctorado 3140403, 2014-2016. Concentration phenomena of solutions to some elliptic problems.

-Directora de tesis para Valeria Sáez Gómez. Title: Sobre la unicidad de soluciones segundo bound state de una ecuación nolineal. Magister en Ciencias Matemáticas, Universidad de Chile, 2011.

Directora de tesis para María Gabriela López Urra. Title: Soluciones positivas para sistemas de ecuaciones con operadores de tipo p-laplaciano. Magister en Ciencias Matemáticas, Universidad de Chile, 2010.

-Directora de tesis para Duván Henao Manrique. Title: Sobre la unicidad de soluciones radiales positivas de $\Delta_p u +K(|x|)f(u)=0$, el caso superlineal. Magister en Ciencias Exactas, mención Matemáticas, Pontificia Universidad Católica de Chile, 2006.

-Patrocinio Post-Doc para Isabel Flores, (Fondecyt 3010044) 2001-2003.
Geometric methods for the study of second
order differential equations.

-Organizadora habitual de sesiones en Ecuaciones Diferenciales para las AIMS Conference on Dynamical Systems, Differential Equations and Applications.

Participación en la difusión de resultados en las siguientes conferencias (últimos cinco años):

-12Th Americas Conference On Differential Equations And Nonlinear Analysis (Americas Xii), Guanajuato, Mexico, Plenary talk: Ground States And A-Priori Bounds For Solutions Of Nonlinear Elliptic Equations Involving A Gradient Term.

-Equadiff 2019, Leiden, The Netherlands, July 8-12, Invited talk: Radial Solutions Of Scaling Invariant Nonlinear Elliptic Equations With Mixed Reaction Terms

-The 12Th Aims Conference On Dynamical Systems, Differential Equations And Applications, Taipei, Taiwan, July 4-9, Invited talk: Some Results Concerning The Uniqueness Of Sign Changing Bound State Solutions Of A Weighted Semilinear Equation.

- Equadiff 2017, Bratislava, Eslovaquia, July 24-28, Invited talk: Boundary Singularities Of Positive Solutions To The Quasilinear Equation $-\delta_P U+|\nabla U|^q=0$,

-3rd Sino-Chilean Conference on nonlinear partial differential equations and nonlinear analysis, Dec5-13 2016, Invited talk:
Boundary singularities of positive solutions to the quasilinear equation
$-\Delta_p u+|\nabla u|^q=0$ .

- The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications,
Orlando, Florida, USA July 1 - 5, 2016. Invited talk.

- Equadiff 2015, Lyon, France, July 6 - 11, 2015. Multiplicity results for sign changing bound
state solutions of a semilinear equation.

- International Congress of Women Mathematicians 2014, August 12 and 14, 2014, Seoul,
Korea. Convergence to a steady state for a non-autonomous semilinear heat equation.

- Nonlinear Analysis Plzen 2013, Plzen, Czech Republic, August 22 - 24, 2013. On the convergence
to a steady state for a non-autonomous semilinear heat equation on RN.

- Mathematical Congress of the Americas 2013. Guanajuato, Mexico, August 5 - 9, 2013
Invited talk: Convergence to a steady state for a non-autonomous semilinear heat equation.

- The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications,
Orlando, Florida, USA July 1 - 5, 2012. Charla invitada: Boundary blow up of nonnegative
solutions of some elliptic systems.

- Workshop on Nonlinear Partial Differential Equations on the occasion of the sixtieth birthday
of Patrizia Pucci, Perugia, 28 May - 1 June 2012. Charla invitada: On the existence and
uniqueness of certain bound state solutions of a quasilinear elliptic equation