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Research.

        Geometric Analysis, Differential Geometry.

Publications.

  • Isoparametric functions and nodal solutions of the Yamabe equation. Annals of Global Analysis and Geometry, (2019), Vol.  56, 203–219. PDF
  • (with F. Madani) The equivariant second Yamabe constant.  The Journal of Geometric Analysis (2018),  Vol. 28,  3747–3774. PDF
  • Second Yamabe constants on Riemannian products. Journal of Geometry and Physics (2017), Vol. 114, 260-275. PDF
  • (with D. Rodriguez) On the instability of two entropic dynamical models. Chaos, Solitons and Fractals (2016) Vol. 91, 604-609. PDF
  • (with J. Petean) On Yamabe constants of products with Hyperbolic spaces. The Journal of Geometric Analysis, (2015) Vol. 25, 2:1387-1400.  PDF
  • (with J. Petean) Isoparametric hypersurfaces and metrics of constant scalar curvature. The Asian Journal of Mathematics, (2014) Vol. 18, 1:53-68. PDF
  • (with A. Muñoz and D. Rodriguez) Locally adaptative density estimation on Riemannian manifolds. Sort: Statistics and Operation Research Transactions, (2013) Vol. 37, 2:111-130. PDF
  • (With D. Rodriguez) Robust estimator in partly linear regression models on Riemannian manifolds.  Communications in Statistics: Theory and Methods. (2013). PDF
  • (with D. Rodriguez and M. Sued) A note on the estimation of the Holder constant. Comunications in Statistics- Simulation and Computation, (2014) Vol. 43, 4:905-912. PDF
  • (with W. González Manteiga and D. Rodriguez) Partially linear models on Riemannian Maniolds. Journal of Applied Statistics, (2012) Vol. 39, 1797-1809. PDF
  •  (with G. Keilhauer) Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold. Tokyo Journal of Mathematics (2012) Vol. 35 1:1-15. PDF
  • A new formalism for the study of natural tensor fields of type (0,2) on manifolds and fibrations. JP Journal of Geometry and Topology, (2011), Vol. 11, 2:147-180. PDF
  •  (with D. Rodriguez) Kernel density estimation on Riemannian Manifolds: Asymptotic Results. Journal of Mathematical Imaging and Vision, (2009) Vol. 34, 235-.239. PDF
  • (with D. Rodriguez) Robust Nonparametric Regression on Riemannian Manifolds. Journal of Nonparametric Statistics, (2009) Vol. 21, 5:611 - 628. PDF

Lecture Notes

  • Curvatura escalar y la constante de Yamabe. Notas del curso "Scalar curvature and the Yamabe constant" dictado en el EGEO 2019, VI Workshop on Differential Geometry. La Falda, Córdoba, Agosto de 2016. PDF

Thesis

  • Tensores naturales sobre variedades y fibraciones.  Phd. Thesis (2009) UBA.  Advisor: G. Keilhauer. PDF (In Spanish)
  • Tensores naturales de tipo (0,2) en el fibrado unitario tangente con aplicaciones al espacio de geodésicas. Tesis de Licenciatura (2003).   PDF (In Spanish)

Teaching

  • Matemática I (Biología). Segundo cuatrimestre de 2020.  
  • Análisis II. Segundo cuatrimestre de 2019. link a la materia 
  • Geometría Riemanniana. Primer cuatrimestre de 2019. link a la materia

Contact

 Depto. de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires.  Intendente Güiraldes s/n, Pab. I, Ciudad Universitaria, Ciudad Autónoma de Buenos Aires. CP 1428. Oficina 2095. Tel: (5411) 5285-7607.

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