Marcelo Miranda Viana da Silva (born 4 March 1962) is a Brazilian

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

working in

dynamical systems theory Dynamical systems theory is an area of mathematics used to describe the behavior of complex systems, complex dynamical systems, usually by employing differential equations by nature of the ergodic theory, ergodicity of dynamic systems. When differ ...

. He proved the Zorich–Kontsevich conjecture together with

Artur Avila Artur Avila Cordeiro de Melo (; born 29 June 1979) is a Brazilian mathematician working primarily in the fields of dynamical systems and spectral theory. He is one of the winners of the 2014 Fields Medal, being the first Latin American and lusop ...

. He was a

Guggenheim Fellow Guggenheim Fellowships are grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation, endowed by the late Simon and Olga Hirsh Guggenheim. These awards are bestowed upon individuals who have demonstrated d ...

in 1993. He received the

TWAS Prize This is a list of recipients of the TWAS Prize, awarded annually by The World Academy of Sciences (TWAS) since 1985. Summary Agricultural Sciences Biology Chemistry Earth Sciences Engineering Sciences Mathematics ...

in 1998 and in 2005 he was awarded the inaugural

ICTP Ramanujan Prize The DST-ICTP-IMU Ramanujan Prize for Young Mathematicians from Developing Countries is a mathematics prize awarded annually by the International Centre for Theoretical Physics in Italy. The prize is named after the Indian mathematician Srinivasa ...

for his research achievements. Viana was vice-president of the

International Mathematical Union The International Mathematical Union (IMU) is an international organization devoted to international cooperation in the field of mathematics across the world. It is a member of the International Science Council (ISC) and supports the International ...

in 2011–2014, and president of the

Brazilian Mathematical Society The Brazilian Mathematical Society (, SBM) is a professional association founded in 1969 at Instituto de Matemática Pura e Aplicada to promote mathematics education in Brazil. Presidents *1969–1971 Chaim Samuel Honig *1971–1973 Manfredo do ...

(2013–2015). In 1998, he was a plenary speaker at the International Congress of Mathematicians, in

Berlin Berlin ( ; ) is the Capital of Germany, capital and largest city of Germany, by both area and List of cities in Germany by population, population. With 3.7 million inhabitants, it has the List of cities in the European Union by population withi ...

. Viana is director elected of the

IMPA is a high-fantasy video game series created by Japanese game designers Shigeru Miyamoto and Takashi Tezuka. It is primarily developed and published by Nintendo, although some portable installments have been outsourced to Capcom, Vanpool and ...

(for the period 2016–2019). Viana is a

columnist A columnist is a person who writes for publication in a series, creating an article that usually offers commentary and opinions. Column (periodical), Columns appear in newspapers, magazines and other publications, including blogs. They take the ...

for '' Folha de S.Paulo''. He was the chair of the executive committee for the 2018

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...

, Rio de Janeiro.

Biography

Viana was born in

Rio de Janeiro Rio de Janeiro, or simply Rio, is the capital of the Rio de Janeiro (state), state of Rio de Janeiro. It is the List of cities in Brazil by population, second-most-populous city in Brazil (after São Paulo) and the Largest cities in the America ...

, Brazil, his parents being Portuguese. He grew up in Portugal, and his undergraduate studies were at the

University of Porto The University of Porto (''Universidade do Porto'') is a Portuguese public research university located in Porto, and founded on 22 March 1911. It is the second largest Portuguese university by number of enrolled students, after the University ...

. He received his Ph.D. degree from the IMPA in Rio de Janeiro, with Jacob Palis as advisor. He is now director at IMPA.

Work

Viana's work concerns

chaotic dynamical system Chaos theory is an interdisciplinary area of Scientific method, scientific study and branch of mathematics. It focuses on underlying patterns and Deterministic system, deterministic Scientific law, laws of dynamical systems that are highly sens ...

s and

strange attractor In the mathematics, mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, for a wide variety of starting conditions of the system. System values that get close enough to the attractor va ...

Selected publications

Books: * with José Espinar: ''Differential Equations: A Dynamical Systems Approach to Theory and Practice'' (2021) * with Krerley Oliveira: ''Foundations of Ergodic Theory'',

Cambridge University Press Cambridge University Press was the university press of the University of Cambridge. Granted a letters patent by King Henry VIII in 1534, it was the oldest university press in the world. Cambridge University Press merged with Cambridge Assessme ...

Research papers: * jointly with AVILA, A., "Simplicity of Lyapunov spectra: proof of the Zorich–Kontsevich conjecture". ''

Acta Mathematica ''Acta Mathematica'' is a peer-reviewed open-access scientific journal covering research in all fields of mathematics. According to Cédric Villani, this journal is "considered by many to be the most prestigious of all mathematical research journ ...

''. vol. 198 (2007), no. 1, pp. 1–56. * jointly with PALIS, J., "High dimension diffeomorphisms displaying infinitely many periodic attractors". ''

Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as t ...

''. vol. 140 (1994), no. 1, pp. 207–250. * jointly with MORA, L., "Abundance of strange attractors". ''Acta Mathematica''. vol. 171 (1993), no. 1, pp. 1–71.

References

External links

Home page of Marcelo Viana

Unión Matemática de América Latina y el Caribe – UMALCA Award in Mathematics 2000: Marcelo Viana
*
Viana teaching a course on ordinary differential equations (in Portuguese)

Interview with Marcelo Viana, conducted by Maria Manuel Clementino and Jorge Picado
1962 births Living people University of Porto alumni Members of the Brazilian Academy of Sciences Dynamical systems theorists Instituto Nacional de Matemática Pura e Aplicada alumni Instituto Nacional de Matemática Pura e Aplicada researchers 20th-century Brazilian mathematicians 21st-century Brazilian mathematicians TWAS laureates {{mathematician-stub