Last updated: February 4th, 2021.

Curriculum Vitae

Curriculum Lattes

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I am a brazilian student of Physics and Applied Mathematics.
My main interests are

  • fundamental problems in Turbulent Flow, specially blowup existence and its consequences,
  • numerical methods for differential equations,
  • computational mathematics and HPC.
  • hyperbolic conservation laws and travelling wave phenomena.

Please, have a more in depth look at my work

 

 

Studies and Experience

B.Sc. in Physics (2010-2014) from the University of Brasília (UnB), Brasília, Brazil.

M.Sc. in Computational Mathematics and Modeling (2014-2016) from the National Institute for Pure and Applied Mathematics (IMPA), Rio de Janeiro.
Studied blowup in shell models for Magnetohydrodynamic Turbulence, producing the dissertation Asymptotic Blowup Solutions in MHD Shell Model of Turbulence under Prof. Alexei A. Mailybaev.
Studied Numerical Analysis of PDE's and the theory of Hyperbolic Conservation Laws with Prof. Dan Marchesin.

Scholarship for technical capacity and support in parallel computing (2016-2017) at the Fluid Dynamics Laboratory at IMPA, Rio de Janeiro.
Studying code optimization and parallel computing in multi-cpu (using OpenMP) and gpu (using CUDA) systems.

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Awards and Distinctions

3. Marie Skłodowska Curie Doctoral Fellowship (2018)

2. Silver Medal: VII Simpósio Brasileiro de Matemática. Renormalization Approach to Blowup in MHD Shell Models. (2014)

1. Nominated for best work in exact sciences: 19º Congresso de Iniciação Científica da UnB e o 10º Congresso de Iniciação Científica do DF. Renormalization approach to blowup in inviscid shell model of MHD Turbulence. (2013) 

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Publications

 

Master Thesis

Asymptotic Blowup Solutions in MHD Shell Model of Turbulence under Prof. Alexei A. Mailybaev.

 

Papers

2. A. C. ALVAREZ, G. T. GOEDERT and D. MARCHESIN. Resonance in rarefaction and shock curves: Local analysis and numerics of the continuation method. Journal of Hyperbolic Differential Equations Vol. 17, No. 4 (2020) 639–676. DOI: 10.1142/S0219891620500198

1. GOEDERT, G. T. ; DE ANDRADE, V. C. ; MAILYBAEV, A. A. . A Renormalization Approach to the blowup structure in Shell Models for MHD Turbulence. Physicae Organum, v. 1, p. 1, 2015.

 

Books

1. Collaborating with Profs. J. Espinar and M. Viana in the writing of "Equações Diferenciais Ordinárias", a graduate textbook on ordinary differential equations (see edo.impa.br)

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Teaching

Undergraduate level

  • (2011-2012) TA for Physics I (Mechanics) at the University of Brasilia.
  • (2013) Introduction to Linear Algebra, minicourse for freshmen at the University of Brasilia.
  • (2017) TA for Introduction to the Theory of Vibrations and Waves at IMPA.

 

Graduate Level

  • (2016-2017) TA for the Ordinary Differential Equations course at IMPA,
    • responsible for the integration of applied concepts in the course [site];
  • (2017) TA for Numerical Methods in Partial Differential Equations at IMPA;

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Work presentations

 

7. 8th European Postgraduate Fluid Dynamics Conference (2016). Oral:  Asymptotic Blowup Solutions in a MHD Shell Model.

6. 4th Workshop on Fluids and PDE's (2014). Poster:  Renormalization Approach to Blowup in MHD Shell Models.

5. VII Simpósio Brasileiro de Matemática (2014). Oral: Renormalization Approach to Blowup in MHD Shell Models. 

4. 19th Congresso de Iniciação Científica da UnB & 10th Congresso de Iniciação Científica do DF (2013). Poster: Renormalization approach to blowup in inviscid shell model of MHD Turbulence.

3. 29th Colóquio Brasileiro de Matemática (2013). Poster: Renormalization approach to blowup in inviscid shell model of MHD Turbulence.

2. II Escola de Física Roberto A. Salmeron (2013). Poster: Renormalization approach to blowup in inviscid shell model of MHD Turbulence.

1. I Escola de Física Roberto A. Salmeron (2012). Poster: Fenômenos caóticos e eventos extremos em modelos Shell de Turbulência em HD e MHD com aplicação em astrofísica.

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Event participation

 

17. Conservation Laws and Applications, celebrating the 70th birthday of Dan Marchesin (2017).

16. 8th European Postgraduate Fluid Dynamics Conference (2016). 

15. EuHIT School on Turbulence (2016).

14. 2nd IMPA-InterPore Workshop (2015).

13. 30 Colóquio Brasileiro de Matemática (2015).

12. Workshop on Instantons and Extreme Events in Turbulence and Dynamical Systems (2015).

11. Workshop on Simulation of Complex Processes in Porous Media (2015).

10. 1st IMPA-InterPore Workshop (2015).

9. 4th Workshop on Fluids and PDE's (2014).

8. School around Vortices: from Continuum to Quantum Mechanics (2014).

7. VII Simpósio Brasileiro de Matemática (2014).

6. 19th Congresso de Iniciação Científica da UnB e o 10th Congresso de Iniciação Científica do DF (2013).

5. 29th Colóquio Brasileiro de Matemática (2013).

4. II Escola de Física Roberto A. Salmeron (2013).

3. I Escola de Física Roberto A. Salmeron (2012).

2. II Encontro de Física do Centro Oeste (2012).

1. I Simpósio Jayme Tiomno (2011).

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Programming skills

  • Python;
  • Advanced MATLAB;
  • Parallel computing and code optimazation for HPC in
    • MATLAB,
    • C++ (OpenMP and CUDA);
  • basic Fortran, PHP and HTML.

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Scientific outreach

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