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Gabriel Paternain

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Title: Gabriel Paternain  
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Subject: Faculty of Mathematics, University of Cambridge, Montevideo
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Gabriel Paternain

Gabriel Paternain
Nationality  Uruguay
Fields Mathematics
Institutions University of Cambridge
Alma mater SUNY Stony Brook
Thesis Geometric and Toplogical Prop of Manifolds - Completely Integrable Geodesic Flows (1991)
Doctoral advisor Detlef Gromoll
Doctoral students Leonardo Macarini
Chiin-Zhe Tan
Pablo Suárez-Serrato
Dan Jane
Will Merry
Peter Herbrich

Gabriel Pedro Paternain is a Uruguayan mathematician. He is Professor of Mathematics in DPMMS at the University of Cambridge, and a fellow of Trinity College. He obtained his Licenciatura from Universidad de la Republica in Uruguay in 1987, and his PhD from the State University of New York at Stony Brook in 1991. He has lectured several undergraduate and graduate courses and has gained widespread popularity due to his entertaining and informal lecturing style, which has been recognised by the university in the past for its high calibre.[1] He was managing editor of the mathematical journal Mathematical Proceedings of the Cambridge Philosophical Society for the period 2006-2011.

He is known for his work on dynamical and geometrical aspects of Hamiltonian systems, in particular magnetic and geodesic flows. His recent research focuses on geometric inverse problems and his collaboration with Mikko Salo and Gunther Uhlmann yielded solutions to several inverse problems in two dimensions, including the tensor tomography problem[2] and the proof of spectral rigidity of an Anosov surface.

In his spare time he partakes in a wide variety of sports, notably football.


  1. ^ Teaching excellence rewarded
  2. ^ Tensor tomography on surfaces, Invent. Math. 193 (2013) 229--247

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