Rui Loja Fernandes
BornJuly 20, 1965
Coimbra, Portugal
NationalityPortuguese
Alma materUniversity of Minnesota
Scientific career
FieldsMathematics
InstitutionsInstituto Superior Técnico, University of Illinois at Urbana-Champaign
ThesisCompletely Integrable bi-Hamiltonian Systems (1994)
Doctoral advisorPeter Olver

Rui António Loja Fernandes (July 20, 1965, Coimbra) is a Portuguese mathematician working in the USA.

Education and career

Fernandes obtained a bachelor's degree in Physics Engineering at Instituto Superior Técnico (Lisbon, Portugal) in 1988. He then moved to the USA and earned a master's degree in Mathematics in 1991 and a PhD in Mathematics in 1994 from the University of Minnesota. His PhD thesis was entitled "Completely Integrable bi-Hamiltonian Systems" and has been written under the supervision of Peter J. Olver.[1]

In 1994 he returned to Instituto Superior Técnico, where he worked first as Assistant Professor (1994-2002), and then as Associated Professor (2003-2007) and Full Professor (2007-2012).[2][3]

In 2012 he moved back to the USA and since then he is the Lois M. Lackner Professor of Mathematics at University of Illinois at Urbana–Champaign.[4] In 2016, he became a Fellow of the American Mathematical Society "for contributions to the study of Poisson geometry and Lie algebroids, and for service to the mathematical community."[5]

Research

Fernandes research focusses on differential geometry, more precisely on Poisson and symplectic geometry. Among his most well-known results are a solution to the long-standing problem of describing the obstructions to the integrability of Lie algebroids[6] and a new geometric proof of Conn's linearization theorem,[7] both written in collaboration with Marius Crainic.

He is the author of more than 40 research papers in peer-reviewed journals[8] and has supervised 6 PhD students as of 2021.[1]

References

  1. 1 2 Rui Loja Fernandes at the Mathematics Genealogy Project
  2. ↑ "Rui Loja Fernandes| DMIST". www.math.tecnico.ulisboa.pt. Retrieved 2021-03-27.
  3. ↑ "CAMGSD — Members". camgsd.tecnico.ulisboa.pt. Retrieved 2021-03-27.
  4. ↑ "Rui Loja Fernandes". illinois.edu. Retrieved May 13, 2017.
  5. ↑ List of Fellows of the American Mathematical Society, retrieves 2017-08-09.
  6. ↑ Crainic, Marius; Fernandes, Rui (2003-03-01). "Integrability of Lie brackets". Annals of Mathematics. 157 (2): 575–620. arXiv:math/0105033. doi:10.4007/annals.2003.157.575. ISSN 0003-486X.
  7. ↑ Crainic, Marius; Fernandes, Rui Loja (2011-03-01). "A geometric approach to Conn's linearization theorem". Annals of Mathematics. 173 (2): 1121–1139. arXiv:0812.3060. doi:10.4007/annals.2011.173.2.14. ISSN 0003-486X.
  8. ↑ "Rui Loja Fernandes". scholar.google.com. Retrieved 2021-03-27.


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