Mathematics · Imperial College London
Marco A. M. Guaraco.
Assistant Professor in Pure Mathematics
I work at the intersection of geometry and analysis, studying minimal surfaces, variational methods, and partial differential equations.
Papers & preprints
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White’s cone over the Möbius band is area-minimising
With Davide Parise
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Integral curvature estimates and geodesic limits for stable abelian Higgs fields
With Marco Badran and Aria Halavati
Proof discovered with AI assistance; checked and rewritten by the authors.
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A two-dimensional Allen–Cahn theory for interfaces with boundary
With Marco Badran and Manuel del Pino
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Plateau’s problem via the Allen–Cahn functional
With Stephen Lynch
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Mean curvature flow in homology and foliations of hyperbolic 3-manifolds
With Vanderson Lima and Franco Vargas Pallete
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Ground states of semilinear elliptic problems with applications to the Allen–Cahn equation on the sphere
With Rayssa Caju, Pedro Gaspar, and Henrik Matthiesen
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Multiplicity one and strictly stable Allen–Cahn minimal hypersurfaces
With Fernando C. Marques and André Neves
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The Allen–Cahn equation on closed manifolds
With Pedro Gaspar
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A little background
I received my PhD from IMPA in 2016, under the supervision of Fernando Codá Marques. Before joining Imperial, I was an L. E. Dickson Instructor at the University of Chicago and a member of the Institute for Advanced Study. I studied mathematics at Universidad Simón Bolívar in Venezuela.