Francis Clarke (mathematician)

Last updated

Frank "Francis" H. Clarke (born 30 July 1948, in Montreal) is a Canadian and French mathematician. [1]

Contents

Biography

Francis Clarke graduated in 1969 from McGill University with a B.Sc. degree in 1969 and in 1973 from the University of Washington with a Ph.D. with thesis advisor R. Tyrrell Rockafellar. [2] In 1978 Clarke became a full professor at the University of British Columbia and gave an invited lecture at the International Congress of Mathematicians (ICM) in Helsinki. [3] [4] In 1984 he was appointed director of the Centre de Recherches Mathématiques (CRM) of the University of Montreal. During the nine years of his directorship, CRM became Canada's leading national research center for mathematics and its applications. The successes of Clarke's directorship included the creation of workshops and postdoctoral fellowships, thematic years, two series of publications, research awards, and an endowment fund. Francis Clarke is also the founding director of the Institut des Sciences Mathématiques [5] (ISM) of Quebec.[ citation needed ]

In 1995 Francis Clarke was appointed full professor at Claude Bernard University Lyon 1, where he was a member of the Institut Camille-Jordan. In 2000 he was appointed to a chair in mathematical theory of control at the Institut universitaire de France . In 2004, he chaired the selection committee for the first joint conference of the six mathematical societies of Canada and France.[ citation needed ]

Research

Francis Clarke is known for his contributions to nonsmooth analysis (a term that is due to him), and particularly for his theory of generalized gradients (gradients généralisés), as well as for his work in optimization, differential equations, control theory, calculus of variations, and modeling in several application domains. His book Optimization and Nonsmooth Analysis has over 11600 citations.[ citation needed ]

Awards and honours

Books

Related Research Articles

The Centre de recherches mathématiques (CRM) is the first mathematical research institute in Canada, located at the Université de Montréal.

<span class="mw-page-title-main">Nassif Ghoussoub</span> Canadian mathematician

Nassif A. Ghoussoub is a Canadian mathematician working in the fields of non-linear analysis and partial differential equations. He is a Professor of Mathematics and a Distinguished University Scholar at the University of British Columbia.

<span class="mw-page-title-main">Luigi Ambrosio</span> Italian mathematician

Luigi Ambrosio is a professor at Scuola Normale Superiore in Pisa, Italy. His main fields of research are the calculus of variations and geometric measure theory.

Roger Jean-Baptiste Robert Wets is a "pioneer" in stochastic programming and a leader in variational analysis who publishes as Roger J-B Wets. His research, expositions, graduate students, and his collaboration with R. Tyrrell Rockafellar have had a profound influence on optimization theory, computations, and applications. Since 2009, Wets has been a distinguished research professor at the mathematics department of the University of California, Davis.

<span class="mw-page-title-main">R. Tyrrell Rockafellar</span> American mathematician

Ralph Tyrrell Rockafellar is an American mathematician and one of the leading scholars in optimization theory and related fields of analysis and combinatorics. He is the author of four major books including the landmark text "Convex Analysis" (1970), which has been cited more than 27,000 times according to Google Scholar and remains the standard reference on the subject, and "Variational Analysis" for which the authors received the Frederick W. Lanchester Prize from the Institute for Operations Research and the Management Sciences (INFORMS).

<span class="mw-page-title-main">Stevo Todorčević</span>

Stevo Todorčević, is a Yugoslavian mathematician specializing in mathematical logic and set theory. He holds a Canada Research Chair in mathematics at the University of Toronto, and a director of research position at the Centre national de la recherche scientifique in Paris.

In mathematics, variational analysis is the combination and extension of methods from convex optimization and the classical calculus of variations to a more general theory. This includes the more general problems of optimization theory, including topics in set-valued analysis, e.g. generalized derivatives.

David William Boyd is a Canadian mathematician who does research on harmonic and classical analysis, inequalities related to geometry, number theory, and polynomial factorization, sphere packing, number theory involving Diophantine approximation and Mahler's measure, and computer computations.

Marta Sanz-Solé is a Spanish mathematician specializing in probability theory. She obtained her PhD in 1978 from the University of Barcelona under the supervision of David Nualart.

Irena Lasiecka is a Polish-American mathematician, a Distinguished University Professor of mathematics and chair of the mathematics department at the University of Memphis. She is also co-editor-in-chief of two academic journals, Applied Mathematics & Optimization and Evolution Equations & Control Theory.

Niky Kamran is a Belgian and Canadian mathematician whose research concerns geometric analysis, differential geometry, and mathematical physics. He is a James McGill Professor in the Department of Mathematics and Statistics at McGill University.

Xiaojun Chen is a Chinese applied mathematician, Chair Professor of Applied Mathematics at Hong Kong Polytechnic University. Her research interests include nonsmooth and nonconvex optimization, complementarity theory, and stochastic equilibrium problems.

<span class="mw-page-title-main">Stefanie Petermichl</span> German mathematician

Stefanie Petermichl is a German mathematical analyst who works as a professor at the University of Toulouse, in France. Topics of her research include harmonic analysis, several complex variables, stochastic control, and elliptic partial differential equations.

Jane Ye is a Chinese-Canadian mathematician who works as a professor of mathematics at University of Victoria. Her interests include variational analysis and optimization constraint problems. She is the 2015 winner of the Krieger–Nelson Prize, given annually by the Canadian Mathematical Society to an outstanding female researcher in mathematics.

Hélène Frankowska, or Halina Frankowska is a Polish and French mathematician known for her research in control theory and set-valued analysis. She is a director of research at the Centre national de la recherche scientifique, and works in the Institut de Mathématiques de Jussieu of Pierre and Marie Curie University.

François Lalonde is a Canadian mathematician, specializing in symplectic geometry and symplectic topology.

<span class="mw-page-title-main">Emmanuel Trélat</span> French mathematician (born 1974)

Emmanuel Trélat is a French mathematician.

Adrian Stephen Lewis is a British-Canadian mathematician, specializing in variational analysis and nonsmooth optimization.

Karl Kunisch is an Austrian mathematician.

References

  1. "Short biography" (PDF). University of Padua (math.unipd.it)..
  2. Francis H. Clarke at the Mathematics Genealogy Project
  3. "List of Speakers of the International Congress of Mathematicians". International Mathematical Union. Archived from the original on 8 November 2017. Retrieved 8 September 2019.
  4. Clarke, Frank H. (1983). "Nonsmooth analysis and optimization". Proceedings of the International Congress of Mathematicians, Helsinki, 1978. Vol. 5. pp. 847–853. CiteSeerX   10.1.1.455.677 .
  5. Institut des Sciences Mathématiques
  6. "W.T. and Idalia Reid Prize in Mathematics".
  7. "Coxeter-James Prize". Canadian Mathematical Society.
  8. "Killam Fellowship Awards | Canada Council for the Arts". conseildesarts.ca. Archived from the original on 9 May 2016. Retrieved 8 September 2019.
  9. Manitius, Andrzej (1985). "Reviewed work: Optimization and Nonsmooth Analysis., Frank H. Clarke". SIAM Review. 27 (2): 288–291. doi:10.1137/1027091. JSTOR   2030777.
  10. Piccoli, B. (2001). "Nonsmooth analysis and control theory [Book Review]". IEEE Transactions on Automatic Control. 46 (8): 1343. doi:10.1109/TAC.2001.940948. ISSN   0018-9286. S2CID   28025442.
  11. Henrion, Didier (October 2013). "Review of Functional analysis, calculus of variations and optimal control by Francis Clarke" (PDF). homepages.laas.fr.