Mathematical Physics, Spectral Theory, Partial Differential Equations

MASTER STUDENTS
Co-advisor of Danko Aldunate Bascuñan (Master in Physics PUC, 2021)
Advisor of Felipe Matus Diaz and Matías Moreno Bustamante (Master in Mathematical Engineering, U. Chile, expected to graduate in 2022 )

PHD STUDENTS
Co-advisor of Danko Aldunate Bascuñan (Master in Physics PUC, 2021-present)

POSTDOCS
Paola Carolina Rioseco Yañez, postdoc CMM, 2021-present

Conference talks:
• FLACAM 2019, CMM Santiago, November 5–8, 2019. Talk in PDE session: Optimizers for a Poincaré-Sobolev inequality.
• The Analysis of Complex Quantum Systems: Large Coulomb Systems and Related Matters, CIRM Marseille, October 21–25, 2019. Talk: A critical Poincaré-Sobolev inequality.
• Many-body theory, effective equations & PDE’s, Mittag- Leffler Institute, Stockholm, March 18 –22, 2019. Talk: A critical Poincaré-Sobolev inequality.
• Eigenvalues and Inequalities, Mittag- Leffler Institute, Stockholm, May 14–18, 2018. Talk: Spectrum of Graphene Quantum dots.
• EEQUADD MathAmSud Workshop, Santiago, December 7, 2017. Talk: Non-existence of minimizers for the TFDW functional and related problems.
• Encuentro SOMACHI, Talca, November 3, 2017. Talk in PDEs sesion: Non-existence ofminimizers for the TFDW functional and related problems.
• Mathematical Congress of the Americas, Montreal, July 26, 2017. Talk in Mathematical Physics sesion: Spectral gaps of Dirac operators describing graphene quantum dots.
• 50 years of hearing drums, Santiago, May 16–20, 2016: Spectral gaps of Dirac operators describing graphene quantum dots.
• Young Researchers Symposium, June 25, 2015, Santiago: Phase transitions in probabilistic cellular automata : an intermediate model, .
• International conference on Spectral Theory and Mathematical Physics, November 24–29, 2014, Santiago: Phase transitions in probabilistic cellular automata : an intermediate model.

Outreach:
- Participation in the Centro científico estudiantil of the municipality of La Pintana in Santiago, Chile: organizing physics workshops for school kids and ordering the available didactic material.
- (With Edgardo Stockmeyer) Writing the script for a 3-minutes animated video "Grafeno, un universo en dos dimensiones" about graphene and mathematical physics. (available on Youtube)