Jacob M. Aguirre

Continuous optimization and large-scale algorithms for linear, conic, and nonlinear programs.

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Georgia Tech College of Engineering

H. Milton Stewart School of Industrial and Systems Engineering

PhD candidate in Operations Research at Georgia Tech ISyE.

I am advised by Professors Anton J. Kleywegt and Renato D.C. Monteiro, and I work closely with Arkadi Nemirovski and Dmitrii M. Ostrovskii on theory, complexity analysis, and scalable optimization methods.

Advisors, collaborators, and current submissions

Current submissions

Where recent papers are under review

  • cuHALLaR: submitted to Mathematical Programming Computation
  • Bicriterion traffic assignment: submitted to Operations Research
  • Accelerated smoothing gradient method: submitted to Mathematics of Operations Research
  • Hybrid approaches for large-scale linear programs: current working paper with Renato D.C. Monteiro and Anton J. Kleywegt

What I work on

Theory and complexity

Sharp guarantees for continuous optimization

I study the design and complexity of algorithms for linear programming, convex quadratic programming, semidefinite programming, complementarity problems, variational inequalities, and nonlinear convex programming.

Computation and scale

Methods that survive contact with large instances

A parallel thread of my work focuses on numerical methods and software for large-scale optimization, including low-rank structure, first-order techniques, and GPU-accelerated solvers.

Recent news

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  • March 2026

    Presenting joint work with Renato D.C. Monteiro in the ISyE PhD seminar on scalable semidefinite programming and inexact proximal point methods.

  • February 2026

    Giving a talk in the Georgia Tech School of Mathematics Stochastics seminar series on joint work with Dmitrii M. Ostrovskii.

  • February 2026

    Awarded the Jessie and Ralph W. Pries Fellowship from the Georgia Tech College of Engineering.

  • September 2025

    Looking forward to the SIAM Conference on Optimization 2026 and conversations on semidefinite and nonlinear programming.

  • September 2025

    Hosting a session in the Linear and Conic Optimization track at the INFORMS Optimization Society 2026 meeting.