Graham Smith PhD HDR

Instituto de Matemática
UFRJ, Av. Athos da Silveira Ramos 149,
Centro de Tecnologia - Bloco C,
Cidade Universitária - Ilha do Fundão,
Caixa Postal 68530, 21941-909,
Rio de Janeiro, RJ - BRASIL

+55 21 9 79 70 10 01

My address may be found in my CV (see below).


Habilitation à diriger des recherches (HDR)

Defended 8th February 2017, Université Grenoble-Alpes

The French "Habilitation à diriger des recherches", introduced in 1984, replaced the older "Doctorat d'État" and is roughly equivalent to the Anglo-American D.Sc. It is the general requirement for applying for a French "Professeur" position as well as for supervising PhD students within the French system.




Defended 13th December 2004, Université Paris-Sud, Orsay



Research Interests

Geometric analysis, differential topology, Morse/Floer theory, Teichmüller theory

Key Words: embeddings and immersions, curvature problems, elliptic and parabolic PDEs, degree theory, Morse/Floer theory




Last Updated 4th May 2020.

Published in Peer Reviewed Journals

Papers Submitted for Review

Completed Papers awaiting Revision prior to Resubmission

Despite being satisfied with the results of these papers, I am convinced that their presentation could be greatly improved, and I therefore aim to revise them as the time presents itself.

Conference Proceedings

  • Problèmes de Plateau equivariants Actes de Séminaire de Théorie Spectrale et Géométrie. Vol. 24. Année 2005--2006, 67-78, Sémin. Théor. Spectr. Géom., 24, Univ. Grenoble I, Saint-Martin-d'Hères, 2007.


Selected Talks

Mathematical fragments

Including pleasing observations and simple proofs of well-known results that may be of interest to others.



Curriculum Vitae

Important - My email address may be found in my CV. The addresses in these files have however been censored to protect against spam. To obtain my address, simply replace "g*a*a*a*d*e*s*i*h" with "grahamandrewsmith".

Both CVs are now very old.



Art and Mathematics - Interesting Links

  • A beleza escondida da matemática
  • A charming online exhibition produced by the Museu do Amanhã for which I provided scientific consultancy.

  • Symmetry in Moorish and Other Ornaments
  • Moorish tilings in the Alhambra (Granada, Spain) have symmetry groups belonging to 13 of the 17 different chrystalographic classes. The remaining 4 groups were later identified in the adjoining museum.

  • Origami
  • Work by Robert J. Lang.

  • More origami
  • Work by Eric Joisel.

  • Blooms
  • Animated sculptures by John Edmark.

  • Strandbeest
  • Geometry comes to life with Theo Jansen's eolian creatures.

  • The Wintergatan marble machine
  • Technically more basic engineering than mathematics, but still impressive.



    Good Reads

  • The miracle of Purun Baghat, by Rudyard Kipling
  • When did the mundane become sacred? It happened before our very eyes, and we never even noticed.

  • The Gulag Archipelago, Parts I-II, Parts III-IV, Parts V-VII, Aleksandr Solzhenitsyn
  • Last and first men, by Olaf Stapledon
  • Harrison Bergeron, by Kurt Vonnegut
  • We, by Eugene Zamiatin


    Spring School



    Russian Roulette

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      Graham Smith, Graham Andrew Smith, Mathematics, curvature, compactness, geometry, topology, analysis, geometric analysis, differential geometry, differential topology, Degree theory, Morse, Morse theory, Floer, Floer homology, Plateau, Plateau problems, Minkowski, Minkowski problems, mean curvature, extrinsic curvature, special Lagrangian curvature, geotop