This update: November 14th 2019. Previous updates: September 17th 2019/July 4th 2018.
I am a Zeeman Lecturer at the University of Warwick Mathematics Institute.
I obtained my PhD under the direction of Fernando Coda Marques at IMPA in 2014.
After that I was a post-doc at the Imperial College London (Andre Neves) and at the University of Warwick (Peter Topping),
and I was a member of the Institute for Advanced Study in Princeton during the special year on
``Variational Methods in Geometry".
I have been interested in rigidity and classification problems related to the scalar curvature,
and in variational geometric objects (like minimal surfaces) and invariants (like the width)
of general ambient manifolds.
Please find my CV at this link.
Teaching
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Advanced PDE - University of Warwick (2019/2020 Term 1).
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Geometry of Curves and Surfaces - University of Warwick (2017/2018 Term 1).
Publications and Preprints
(Please notice that there might be small differences between the pre-print and published version, due to the
editorial work).
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On the min-max width of Riemannian three spheres
(with R. Montezuma), 2018, arXiv.
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On the two-systole of real projective spaces
(with R. Montezuma), 2018, arXiv, to appear at
Revista Matematica Iberoamericana.
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Bubbling analysis and geometric convergence results for free boundary minimal surfaces
(with R. Buzano, A. Carlotto and B. Sharp), 2018, arXiv,
Journal de l'Ecole polytechnique - Mathematiques, 6 (2019), p. 621-664, published online
here.
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Geometric convergence results for closed minimal surfaces via bubbling analysis
(with R. Buzano, A. Carlotto and B. Sharp), 2018, arXiv.
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Compactness analysis for free boundary minimal hypersurfaces (with A. Carlotto and B. Sharp), 2017, arXiv, Calc. Var. Partial Differential Equations, Volume 57 (2018),
no. 1, pp 1-39, published online here.
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A note on the index of closed minimal hypersurfaces in flat tori (with A. Carlotto and B. Sharp), 2017, arXiv, Proc. Amer. Math. Soc., Volume 146 (2018), pp 335-344, published online here.
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A gap theorem for free boundary minimal surfaces in the three-ball (with I. Nunes), 2016,
arXiv, (submitted), to appear at
Communications in Analysis and Geometry.
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Index estimates for free boundary minimal hypersurfaces (with A. Carlotto and B. Sharp), 2016, arXiv, Mathematische Annalen 370 (2018), no. 3-4, 1063-1078, published online
here.
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Comparing the Morse index and the first Betti number of minimal hypersurfaces (with A. Carlotto and B. Sharp),
2016, arXiv, Journal of Differential Geometry,
Volume 108 (2018), no. 3, 379-410, published online here.
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Compactness of the space of minimal hypersurfaces with bounded volume and p-th Jacobi eigenvalue (with A. Carlotto and B. Sharp), 2015, arXiv,
Journal of Geometric Analysis, Volume 26 (2016), Issue 4, pp 2591-2601, published online here.
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On static three-manifolds with positive scalar curvature, 2015, arXiv (first version only), Journal of Differential Geometry, Volume 107 (2017), Issue 1, pp 1-45, published online here.
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On perturbations of the Schwarzschild Anti-de Sitter spaces of positive mass, 2014, arXiv,
Communications in Mathematical Physics, Volume 337 (2015), Issue 2, pp 767-783, published online here.
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Rigidity of area-minimizing free boundary surfaces in mean convex three-manifolds, 2013, arXiv,
Journal of Geometric Analysis, Volume 25 (2015), Issue 2, pp 1001-1017, published online here.
