Teaching

Undergraduate courses

• Calculus of one and several variables

• Linear algebra

• Differential equations

• Mathematical modeling

• Stochastic differential equations

• Advanced linear algebra

Graduate courses

• Real Analysis

• Complex variables

• Linear Algebra

• Measure theory

• Functional analysis

• Semigroups

• Navier-Stokes equations and turbulence

• Stochastic differential equations

Short-courses

• "Resultados recentes sobre as equações de Navier-Stokes para fluidos incompressíveis". Primeira Escola Brasileira de Equações Diferenciais (I EBED), IMECC-Unicamp, Campinas, SP. June 9-13, 2003. Slides

• "Equações de Navier-Stokes e turbulência". Summer Program at LNCC, Petrópolis, RJ. February 24-27, 2003. Slides

• "Equações de Navier-Stokes e turbulência". Summer Program at IM-UFRJ, Rio de Janeiro, RJ. January 4, 6, 8, 18, 20, 22, 2002.

• "Navier-Stokes equations and the statistical theory of turbulence", Seventh Paseky School on Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic. June 3-10, 2001.

• "Sistemas dinâmicos em dimensão infinita". Short course at IM-UFRJ, Rio de Janeiro, RJ. July 1995.

Academic advisory

• Several undergraduate students

• Seven MSC students

• Two PhD students:

  1. Fábio Antônio Tavares Ramos, on "Statistical estimates and dissipation anomaly in fluid turbulence", August 3, 2007

  2. Cecília Freire Mondaini, on "Statistical solutions of the Navier-Stokes equations", May 20, 2014

Research supervision

• Anne Caroline Bronzi, "Statistical solutions of the Navier-Stokes equations", August 2010 to July 2012