Development of forecasting and optimization systems for network and schedule planning problems arising in the airline industry.

Developed algorithms and software for optimization of nonlinear and mixed-integer nonlinear programs with applications in power grids, transportation systems, and robotics.

Thesis title: Novel relaxations for global optimization of mixed-integer nonlinear programs.Academic advisor: Professor Nick Sahinidis.My doctoral research focused on the development of theory, algorithms and software forglobal optimization of nonconvex optimization problems. As part of my research, I have:• Analyzed the effect of novel relaxations approaches based on functional transformations onthe performance of branch-and-bound algorithms for global optimization.• Devised new optimality-based domain reduction algorithms for nonconvex nonlinear programs(NLPs) and mixed-integer nonlinear programs (MINLPs).• Proposed novel convex quadratic relaxations and domain partitioning strategies for nonconvex mixed-integer quadratic programs (MIQPs)• Implemented the above-mentioned techniques into the global optimization solver BARON, leading to order-of-magnitude speedups for a variety of problems arising in scientific applications and outperforming other state-of-the-art solvers including CPLEX and GUROBI.During my PhD, I was one of the co-developers of the optimization solver BARON, a state-of-the-art computational system for solving nonconvex optimization problems to global optimality. BARON has been licensed by some of the world’s leading companies and universities, and has been used in more than 50 countries.

• Chemical Engineering Thermodynamics (Fall 2017)Aided in designing course content, holding office hours, and developing scripts for autograding numerical assignments and quizzes.• Chemical Process Systems Design (Fall 2016)Supervised 3 teams of 4 students in a preliminary design project, held recitations and office hours, and assisted students with the use of the chemical process simulator Aspen Plus.• Computer Science in Chemical Engineering (Spring 2016, Spring 2017)Aided in designing course content, held office hours, and developed python scripts for autograding computational assignments and projects. Gave lectures on behalf of Professor Nick Sahinidis.

Compared mathematical models for the optimal design and operation of membrane separation processes utilized in the production of specialty polymers.

Thesis title: Global Optimization of Mathematical Programs with Equilibrium Constraints.Academic advisor: Professor Alexander Mitsos.In this project, I investigated solution strategies for mathematical programs with equilibrium constraints (MPECs) arising as sub-problems in global optimization algorithms for semi-infinite programs (SIPs).

Thesis title: Fluid-Dynamic Model for a Two-Phase Annular Flow in Vertical Pipes.Academic advisor: Professor Andres Rosales.In this project, I developed a first-principles model for computing the pressure drop and the liquid film thickness of a fully developed two-phase annular flow. The proposed model was successfully validated against a large set of experimental data.

Held recitations, developed and graded problem sets and projects, and assisted students during office hours.Courses: • Process Control (October 2007 - July 2008)• Mass Transfer (April 2007 - July 2007)• Chemical Engineering Thermodynamics (April 2006 - March 2007)• Programming (April 2005 - July 2007)• Descriptive Geometry (October 2004 - March 2005)