Here I collect the slides of talks I delivered over the years. Usually, these slides incorporate corrections of minor errors (mostly typos). More recently, the talks have been recorded so I also make available the corresponding Youtube links. 

• "O teorema de Gauss-Bonnet: de triângulos a classes características", Manaus, September/2009, in portuguese here

• "The concept of mass: from Physicis to Geometry and back", João Pessoa, February/2012, here

• "The Riemannian Penrose inequality", EGBI, Salvador, July/2012 1 2 3 4 5

• "Uniquess and multiplicity for a class of conformally invariant problems", EGBI, Salvador, July/2012 here

• "Desigualdades isoperimétricas em Relatividade Geral", Teresina, November/2012 here

• "A Penrose inequality for asymptotically locally hyperbolic graphs", Granada, June/2013 here

• "Spinors and positive mass" IMPA, June/2013 here

• "An introduction to the Penrose inequality", GELOSP-2013, USP, July/2013 1 2 3

• "A Penrose inequality for asymptotically locally hyperbolic graphs", Guanajuato, August/2013  here

• "An introduction to the Penrose inequality", Maceió, September/2013 1 2

• "Isoperimetric inequalities in General Relativity", IHP/Paris, December, 2013 here

• "A positive mass theorem for asymptotically flat manifolds with a noncompact boundary", Fortaleza, February/2014 here 

• "Spinors and the Brown-York quasi-local mass", Maceió, March/2014 here 

• "Uma jornada geométrica ao fascinante mundo dos buracos negros", Teresina, September, 2014, in portuguese here

• "Deforming the scalar curvature of de Sitter-Schwarzschild space", Maceió, March/2015 here 

• "A Feynman-Kac formula for differential forms on manifolds with boundary and geometric applications", Maceió, March/2016 here

• "Reflected brownian motion  on $\partial$-manifolds: a Feynman-Kac formula and a recurrence/transience test ",  Workshop in Stochastic Analysis, Unicamp, June/2016 here

• "A Feynman-Kac formula for differential forms on manifolds with boundary and geometric applications", Princeton, February/2017 here

• "An Introduction to Stochastic Analysis on Manifolds", UFPb/João Pessoa, March/2017 1 2 3

• "Recurrence, transience and Liouville property for normally reflected Brownian motion in warped spaces", Maceió, March/2017 here

• "Diffusion on manifolds: an introduction with applications", Recife, June/2017 here

• "The Atiyah-Singer index formula for Dirac operators", UFMG/Belo Horizonte, August/2017 1 2 3

• "A simple probabilistic proof of the Gauss-Bonnet formula for manifolds with boundary", Porto Alegre, September, 2017 here

• "A simple probabilistic proof of the Gauss-Bonnet formula for manifolds with boundary", Teresina, December, 2017 here

• "A Feynman-Kac formula on manifolds with boundary and geometric applications", ENS/Pisa, February, 2018 here

• "A path integral representation for generalized Laplacians on manifolds with boundary and geometric applications" , Maceió/Praia do Francês, March/2018, here

• "O que é ... uma integral funcional?", UFC/Fortaleza, April/2018, in portuguese  here

• "The mass of an asymptotically flat manifold with a noncompact boundary", Regensburg, September/2018 here

• "The mass of an asymptotically flat manifold with a noncompact boundary", IST/Lisboa, September/2018 here

• "Positive mass theorems in Yamabe-type problems", João Pessoa, March/2019 here

• "The mass of asymptotically hyperbolic manifolds with a noncompact boundary", Maceió/Praia do Francês, March/2019 here

• "The mass of asymptotically hyperbolic manifolds with a noncompact boundary", São Carlos, August/2019 here

• "A Weyl law and a conservation principle for generalized Laplacians under mixed boundary conditions", Manaus, December/2019 here

• "Conserved quantities in General Relativity: the case of initial data sets with a noncompact boundary", IST/Lisboa, January, 2020 here

• "Mass, center of mass and isoperimetry in asymptotically flat manifolds with a noncompact boundary", Aracaju, November/2020 here youtube (in portuguese)

• "Ouvindo a geometria/topologia de uma variedade com a fórmula de Feynman-Kac", Florianópolis, UFSC Math Colloquium, May/2021 here youtube

• "Elliptic operators in conical manifolds: examples and applications", João Pessoa, UFPB Geometric Analysis Webinar, July/2021 here youtube (in portuguese)

• "Obstructions to positive scalar curvature in conical manifolds", GENE Webinar, July/2021 here youtube (in portuguese)

• "Extrinsic black hole uniquenes in pure Lovelock gravity", IX JM/UFPI/2021 here youtube (in portuguese)  

• "An introduction to the geometry of asymptotically hyperbolic manifolds", Summer School/UFPB/2022 1 2 3 yout1 yout2 yout3 (in portuguese)

• "Spinors and scalar curvature: the case of manifolds with a conical singularity", Colóquio DPMAT/UFPE - Recife - October/2022 here

• "Rigidity of non-compact static domains in hyperbolic space via positive mass theorems",  Geometria em Lisboa Seminar - Lisbon, February/2024 here   

• "Some applications of Poincaré limit to the rigidity of domains in Gauss half-space, IMPA's Differential Geometry Seminar - Rio de Janeiro, November/2024 here