Thiago P. Silveira

In 2018 I started my Ph.D. advisored by Prof. Dr. Gabriel Haeser at the University of São Paulo and Prof. Dr. Héctor Ramírez from Universidad de Chile was my co-advisor. My main line of 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 July 2019, I presented a seminar 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 and I stayed there until December 2021.

On May 3rd, 2021, I presented a seminar (in Portuguese) about constant rank-type constraint qualification for second-order cone programming. You can watch it at the following link: video. This seminar is part of the weekly seminar of the optimization group from the University of São Paulo and the University of Campinas. You can see more details 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 the 33rd Brazilian Mathematical Colloquium (Online).

I finished my Ph.D. in 2023 and my thesis is called "Constant rank-type constraint qualifications and second-order optimality conditions" (PDF). During my Ph.D. degree, I was funded by FAPESP.

Teaching assistant:

• MAC 0427 Nonlinear optimization (2019/2).

• MAP 5915 Linear Optimization (2020 - Summer school).

• MAP 5747 Nonlinear optimization (2020/1).

• MAP 5747 Nonlinear optimization (2020/2).

In 2016 and 2017 I was an Assistant Professor of Mathematics at Federal University of Amazonas (DOU) and I had the opportunity to teach for many courses: Civil Engineering, Chemical Engineering, Gas and Oil Engineering, Production Engineering, Electrical Engineering, Computer Engineering, Computer Science, Mathematics, Physics, Administration, Economics Sciences and Agronomy. 

Teaching:

• Calculus;

• Linear Algebra;

• Analytical Geometry;

• Ordinary Differential Equations;

• Applied Mathematics for Economy;

• Applied Mathematics for Administration;

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.  The main topics of my master's thesis are:

• Interval Optimization.

• First-Order Optimality Conditions.

• Interval Convex Functions.

• Generalized Interval Spaces.

In the selective process, I got the 1st position (results).

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

• "Application of Quadratic Optimization to Multivariate Data Analysis" (PDF) in 2012-2013. (Certificate)

• "Mathematical Fundamentals of Combinatory Optimization and Applications" (PDF) in 2013-2014. (Certificate)

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

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

• Graph Theory.

• Queues Theory.

• Combinatorial Optimization.

• Algorithms for minimal paths.

• Principal Component Analysis (PCA).