Marcelo Viana

Written By Stefano Luzzatto
Viana 1

Marcelo Viana completed his undergraduate studies at the University of Porto. He received his Ph.D. degree from the IMPA in Rio de Janeiro, with Jacob Palis as advisor.

Among other acknowledgements, he was a Guggenheim Fellow in 1993, received the TWAS Prize in 1998 and in 2005 he was awarded the inaugural ICTP Ramanujan Prize for his research achievements.

He was vice-president of the International Mathematical Union in 2011–2014, and president of the Brazilian Mathematical Society (2013–2015). In 1998, he was a plenary speaker at the International Congress of Mathematicians in Berlin.

He is now director at IMPA. His work concerns chaotic dynamical systems and strange attractors.

 

Administrative appointments

  • ABC - Brazilian Academy of Sciences: Membership Committee Member and L'Oréal Grant for Women in Science Committee Member (current).

  • CAPES - Graduate Studies Agency of Brazil: Committee for Mathematics and Statistics Member and Chair for Mathematics and Statistics.

  • CNPq - National Research Council of Brazil: Chair for Mathematics and Statistics (twice) and Directing Council Member.

  • FAPERJ - State of Rio de Janeiro Research Agency: Chair for Mathematics and Statistics.

  • IMPA - Instituto de Matemática Pura e Aplicada: Chair for Scientic Activities, Deputy Director and Director (current).

  • ICM - International Congress of Mathematicians: chair of organizing committee.

  • IMU - International Mathematical Union: Executive Committee Member and VicePresident.

  • MCofA - Mathematical Council of the Americas: Executive Committee Member and Treasurer (current).

  • PROFMAT - Brazil's Nationwide Master Program for Math Teachers: Co-founder and Council Chair.

  • SBM - Brazilian Mathematical Society: Directing Council Member, Vice-President and President.

  • SERRAPILHEIRA - Private funding organization: Chair of Scientic Advisory Board (current) and Board of Trustees Member (current).

  • TWAS - Academy of Sciences for the Developing World: Membership Committee Member, Membership Committee Chair and Head of ROLAC - Regional Office for Latin America and the Caribbean.

  • UMALCA - Mathematical Union for Latin America and the Caribbean: Scientific Coordinator.

Selected Conference Organization Appointments

  • CLAM - Latin American Congresses of Mathematicians: Chair of the Scientific Committee for CLAM 2004 and CLAM 2008.

  • ICM - International Congress of Mathematicians: Chair of the Organizing Committee for ICM 2018.

  • MCA - Mathematical Congress of the Americas: Steering Committee Member for MCA 2013, MCA 2017 and MCA 2021 (current).

Editorial Appointments

  • Editor for Dynamics and Stability of Systems, Nonlinearity, Ergodic Theory & Dynamical Systems, Dynamical Systems: An International Journal, Portugaliae Mathematica, Discrete and Continuous Dynamical Systems, Stochastics and Dynamics, Nonlinear Differential Equations and Applications, Dynamics of Partial Differential Equations, Journal of the European Mathematical Society and Bulletin of the Brazilian Mathematical Society (Editor-in-Chief).

Grants, Awards and Distinctions

  • Undergraduate prizes, awarded by University of Porto: Gomes Teixeira 1983, Gomes Ribeiro 1983, Augusto Martins 1983 and Abílio Aires 1985.

  • Prize Eng. António José de Almeida for best undergraduate in Science, Porto, 1984.

  • Calouste Gulbenkian Foundation Fellowship, 1988-1990.

  • CNPq Research Grant, since 1991.

  • Guggenheim Foundation Fellowship, 1993-1994.

  • Plenary Speaker, International Congress of Mathematical Physics, Paris, 1994.

  • Invited Speaker, International Congress of Mathematicians, ICM Zurich, 1994.

  • Brazilian Academy of Sciences, Member, elected in 1997.

  • Plenary Speaker, International Congress of Mathematicians, ICM Berlin, 1998.

  • TWAS Award in Mathematics, Academy of Sciences of the Developing World, 1998.

  • Cientista do Nosso Estado Grant, FAPERJ, since 1999.

  • National Order of Scientific Merit ("Grã Cruz"), decorated by the President of Brazil in 2000.

  • UMALCA Award, Mathematical Union for Latin America and the Caribbean, 2000.

  • TWAS - Academy of Sciences of the Developing World, Member, elected in 2000.

  • Invited Professor, Collège de France, Paris, 2002.

  • Santaló Distinguished Lecturer, Universidad Complutense, Madrid, 2005.

  • Ramanujan Prize, International Center for Theoretical Physics, Trieste, 2005.

  • Portuguese Academy of Sciences, Corresponding Member, elected in 2006.

  • Prize Universidade de Coimbra, 2007.

  • Chilean Academy of Sciences, Corresponding Member, elected in 2009.

  • Grande Cientista Brasileiro, Universidade Federal Fluminense, 2009.

  • Plenary Speaker, Latin American Congress of Mathematicians, CLAM Córdoba, 2012.

  • Grand Prix Scientifique Louis D., Académie des Sciences de Paris, Institut de France, 2016.

  • Prêmio Anísio Teixeira para a Educação Básica, CAPES, 2016.

  • Cruz da Referência Nacional, ANCEC -Agência Nacional de Cultura, Empreendedorismo e Comunicação, 2017.

  • Professor Honoris Causa, IEMA - Instituto Maranhense de Educação, Ciência e Tecnologia, 2018.

  • National Order of Educational Merit ("Comendador"), decorated by the President of Brazil in 2018.

  • CBMM Prize of Science and Technology, 2019.

Selected Publications

  • Geometric and mesure-theoretical structures of maps with mostly contracting center
    with D. Dolgopyat and J. Yang. Communications in Mathematical Physics 341 (2016), 991-1014. 

  • Absolute continuity, rigidity and Lyapunov exponents I : geodesic flows
    with A. Avila and A. Wilkinson. Journal of the E.M.S. 17 (2015), 1435-1462.

  • Entropy conjecture for diffeomorphisms away from tangencies
    with G. Liao and J. Yang. Journal of the E.M.S. 15 (2013), 2043-2060.

  • Extremal Lyapunov exponents: an Invariance Principle and applications
    with A. Avila. Inventiones Math. 181 (2010), 115-189.

  • Invariant measures for maps with critical and singular points
    with V. Araújo and S. Luzzatto. Advances in Mathematics 221 (2009), 1428-1444.

  • Almost all cocycles over any hyperbolic system have non-vanishing Lyapunov exponents
    Annals of Math. 167 (2008), 643-680.

  • Simplicity of Lyapunov spectra: Proof of the Zorich-Kontsevich conjecture
    with A. Avila. Acta Mathematica 198 (2007), 1-56.

  • The Lyapunov exponents of generic volume preserving and symplectic systems
    with J. Bochi. Annals of Math. 161 (2005) 1423-1485.

  • Solution of the basin problem for Hénon-like attractors
    with M. Benedicks. Inventiones Math. 143 (2001), 375-434.

  • SRB measures for partially hyperbolic systems whose central direction is mostly expanding
    with J. F. Alves and C. Bonatti. Inventiones Math. 140 (2000), 351-298.

  • Positive Lyapunov exponents for Lorenz-like families with criticalities
    with S. Luzzatto. Astérisque 261 (2000), 201-237.

  • Infinite-modal maps with global chaotic behavior
    with M. J. Pacifico and A. Rovella. Annals of Math. 148 (1998), 441-484.

  • Multidimensional nonhyperbolic attractors
    Publ. Math. IHÉS 85 (1997), 63-96.

  • Strange attractors in saddle-node cycles: prevalence and globality
    with L. J. Díaz and J. Rocha. Inventiones Math. 125 (1996), 37-74.

  • High dimensional diffeomorphisms displaying infinitely many periodic attractors
    with J. Palis. Annals of Math. 140 (1994), 207-250.

  • Abundance of strange attractors
    with L. Mora. Acta Mathematica 171 (1993), 1-71.

 
Stefano Luzzatto
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