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Guillermo Henry

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ghenry(at)dm.uba.ar 



I am a mathematician working in differential geometry and geometric analysis. I obtained my Licenciatura en Matemática, roughly equivalent to an MSc, from the University of Buenos Aires in 2003, and my PhD in Mathematics from the same university in 2009. After completing my PhD, I held postdoctoral positions at the University of Buenos Aires and at the University of Regensburg, Germany, where I was a member of SFB 1085 Higher Invariants. I have also had research stays at CIMAT (Guanajuato, Mexico), the University of Santiago de Compostela (Spain), and ICMAT (Madrid, Spain). I was also a Visiting  Associate Research Scholar at Princeton University (United States).

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Research.

        Geometric Analysis, Differential Geometry.

Publications.

  • (with J. Petean) Interface foliation near a minimal isoparametric hypersurface for the Allen-Cahn equation (2026). PDF
  • (with J. Petean) On solutions to Hardy-Sobolev equations on Riemannian manifolds. Communications on Pure and Applied Analysis, (2026), Vol. 28, 1: 98-118. PDF
  • (with J. Petean) Negative eigenvalues of the conformal Laplacian. Proceedings of the American Mathematical Society (2024), Vol. 152, 3085-3096. PDF
  • (with J. Zuccotti)  Isoparametric functions and solutions of Yamabe type equations on manifolds with boundary. The Journal of Geometric Analysis (2024), Vol. 34. 166. PDF
  • 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

  • Análisis II. Primer cuatrimestre de 2025 y 2026.
  • Geometría Proyectiva. Segundo cuatrimestre de 2024
  • Geometría Riemanniana. Primer cuatrimestre de 2024.
  • Geometría Riemanniana. Segundo cuatrimestre de 2022.  
  • Análisis II. Primer cuatrimestre de 2022.
  • Geometría Proyectiva. Segundo cuatrimestre de 2021.
  • Matemática I (Biología).  Primer cuatrimestre de 2021.
  • 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

Students

Phd. students:

  • Jazmín Schmunis 
  • Juan Zuccotti

Undergraduated students:

  • Andrés Muñoz  PDF (2011)
  • Juan Zuccotti  PDF (2018)
  • Gabriel Krimker PDF (2023)
  • Tomás Paternó PDF (2026)

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.

Links