Thiago P. Silveira

Ph.D. Student of Applied Mathematics

Career Summary

I am a fourth-year PhD student in Applied Mathematics at University of São Paulo (USP). Between September 2020 and December 2021, I studied at Technische Universität Dresden (TUD) for a research stay. I am Bachelor in Applied Mathematics from Federal University of Amazonas (UFAM) and Master in Mathematics from the same university. My main research interests are the following: quadratic optimization, nonlinear programming, second-order cone programming, constraint qualifications and interval optimization. You can see my Curriculum Lattes or my Curriculum Vitae for more details.

Publications

    Papers:

  • A. Fischer, G. Haeser, T.P. Silveira. "On achieving strong second-order properties in nonlinear programming". Submitted on September 29th, 2023. (related technical report).
  • doi> R. Andreani, G. Haeser, L.M. Mito, H. Ramírez, T.P. Silveira. "First- and second-order optimality conditions for second-order cone and semidefinite programming under a constant rank condition". Mathematical Programming, 2023. (related technical report).
  • doi> R. Andreani, G. Haeser, L.M. Mito, H. Ramírez, T.P. Silveira. "Global convergence of algorithms under constant rank conditions for nonlinear second-order cone programming". Journal of Optimization Theory and Applications, 2022. (related technical report).
  • doi> R. Andreani, G. Haeser, L.M. Mito, H. Ramírez, D.O. Santos, T.P. Silveira. "Naive constant rank-type constraint qualifications for multifold second-order cone programming and semidefinite programming". Optimization Letters, 2021. (related technical report).
  • doi> R. Andreani, E.H. Fukuda, G. Haeser, H. Ramírez, D.O. Santos, P.J.S. Silva, T.P. Silveira. "Erratum to: New Constraint Qualifications and Optimality Conditions for Second Order Cone Programs". Set-Valued and Variational Analysis, 2021. (related technical report).

    • Theses and technical reports:

  • UFAM's Repository> S.D.B. Bitar, T.P. Silveira. "Studies on Mathematical Optimization Models using Functions with Interval Parameters" (in Portuguese). Master's Thesis, Federal University of Amazonas. 2017. (PDF)
  • S.D.B. Bitar, T.P. Silveira. "A study of minimal paths based on graph theory and mathematical optimization" (in Portuguese). Undergraduate Thesis, Federal University of Amazonas. 2015. (PDF)
  • UFAM's Repository> S.D.B. Bitar, T.P. Silveira. "Mathematical Fundamentals of Combinatory Optimization and Applications" (in Portuguese). Technical report, Federal University of Amazonas. 2014. (PDF)
  • UFAM's Repository> S.D.B. Bitar, T.P. Silveira. "Application of Quadratic Optimization to Multivariated Data Analysis" (in Portuguese). Technical report, Federal University of Amazonas. 2013. (PDF)

Education, work experience and events

PhD in Applied Mathematics (University of São Paulo with a research stay at Technische Universität Dresden)

2018 - Present

In 2018 I started my PhD advisored by Prof. Dr. Gabriel Haeser at University of São Paulo and Prof. Dr. Héctor Ramírez from Universidad de Chile is my co-advisor. My main line research is in Second-Order Optimality Conditions for Nonlinear programming, but I am also interested in:

  • Second-Order Cone Programming.
  • Sequential Optimality Conditions.
  • Practical Algorithms.
  • Constraint Qualifications.

In 2019 I presented a work called "Some difficulties on obtaining strong second-order stationary points in NLP" at the 32nd Brazilian Mathematical Colloquium, at the Institute of Pure and Applied Mathematics (IMPA).

In September 2020, I started a research stay at Technische Universität Dresden with Prof. Dr. Andreas Fischer as my supervisor.

On May 3rd, 2021, I presented a seminar (in Portuguese) about constant rank-type constraint qualification for conic programming. You can watch it in the following link: video. This seminar is part of the weekly seminar of the optimization group from University of São Paulo and University of Campinas. You can see more detais here: seminars.

On August 5th, 2021, I presented a seminar (in Portuguese) called "A constant rank-type constraint qualification for second-order cone programming" at 33rd Brazilian Mathematical Colloquium (Online).

Teaching assistant:

  • MAC 0427 Nonlinear optimization (2019/2)
  • MAP 5915 Linear Optimization (2020 - Summer school)
  • MAP 2427 Nonlinear optimization (2020/1)

Assistant Professor (Federal University of Amazonas)

2016 - 2017

In 2016 and 2017 I was an Assistant Professor of Mathematics at Federal University of Amazonas. It was a great experience!

Teaching:

  • Calculus.
  • Linear Algebra.
  • Analytical Geometry.
  • Ordinary Diferenttial Equations.
  • Applied Maths for Economy.
  • Applied Maths for Administration.

MSc in Mathematics (Federal University of Amazonas)

2015 - 2017

My master's thesis was "Studies on Mathematical Optimization Models using Functions with Interval Parameters" (PDF), advisored by Prof. Dr. Sandro Bitar. This work was presented at the 31st Brazilian Colloquium on Mathematics, at the Institute of Pure and Applied Mathematics (IMPA) and in 2018 at the XII Brazilian Workshop on Continuous Optimization. During the master's degree I was funded by CAPES.

Key words:

  • Interval Optimization
  • First-Order Conditions
  • Interval Convex Functions
  • Generalized Interval Spaces

BSc in Applied Mathematics (Federal University of Amazonas)

2011 - 2015

During college I did two undergraduate research projects that were awarded as the best project in Mathematics:

  • "Application of Quadratic Optimization to Multivariated Data Analysis" (PDF) in 2012-2013.
  • "Mathematical Fundamentals of Combinatory Optimization and Applications" (PDF) in 2013-2014.

In both projects I was funded by Amazonas Research Support Foundation (FAPEAM).

In 2014 I also received the award for best academic achievement in Applied Mathematics. My undergraduate thesis was "A study of minimal paths based on graph theory and mathematical optimization" (PDF). All works were with Prof. Dr. Sandro Bitar as my advisor.

Key words:

  • Graph Theory
  • Queues Theory
  • Combinatory Optimization
  • Algorithms

Events

  • 33rd Brazilian Mathematical Colloquium. "A constant rank-type constraint qualification for second-order cone programming". IMPA (Online) - Rio de Janeiro, 2021. (Certificate).
  • 32nd Brazilian Mathematical Colloquium. "Some difficulties on obtaining strong second-order stationary points in NLP". IMPA - Rio de Janeiro, 2019. (Certificate).
  • XIII Brazilian Workshop on Continuous Optimization. IMPA - Rio de Janeiro, 2019.
  • XII Brazilian Workshop on Continuous Optimization. "Studies on Mathematical Optimization Models using Functions with Interval Parameters". Foz do Iguacu, 2018.
  • 31st Brazilian Mathematical Colloquium. "Algumas ideias sobre otimizacao matematica utilizando funcoes com valores intervalares". IMPA - Rio de Janeiro, 2017. (Certificate).
  • XI Brazilian Workshop on Continuous Optimization. Manaus, 2016.

Education

  • PhD in Applied Mathematics
    University of São Paulo with a research stay at Technische Universität Dresden
    2018 - Present
  • MSc in Mathematics
    Federal University of Amazonas
    2015 - 2017 (Certificate)
  • BSc in Applied Mathematics
    Federal University of Amazonas
    2011 - 2015 (Certificate).

Awards

  • Professor Abraham Moysés Cohen
    Best scholarship holder in the institutional program of scientific initiation scholarships in Mathematics in 2013-2014. (Certificate).
  • Best Academic Performance
    Best Academic Performance in the Bachelor's Degree in Applied Mathematics in 2014. (Certificate).
  • Professor Abraham Moysés Cohen
    Best scholarship holder in the institutional program of scientific initiation scholarships in Mathematics in 2012-2013. (Certificate).

Language

  • Portuguese (Native)
  • English (Basic)

Interests

  • Academic Research
  • Teaching
  • Business Consulting