cuHALLaR: submitted to Mathematical
Programming Computation.
Paper (arXiv)
Bicriteria traffic assignment: submitted to
Operations Research.
Paper (PDF)
Adaptive homotopy smoothing for bicriteria traffic assignment:
submitted to Mathematical Programming
A Low-Rank Augmented Lagrangian Frank-Wolfe-Based Method
for SDPs with Unbounded Feasible Regions
: submitted to Mathematical Programming;
joint work with Renato D.C. Monteiro and Arnesh
Sujanani.
First version (PDF)
A Sparse Augmented Lagrangian Frank-Wolfe-based method for
Large-Scale Linear Programming
:
submitted to Mathematical Programming; joint work with
Renato D.C. Monteiro and Anton J. Kleywegt
Research Themes
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.
Algorithms and software
Large-scale optimization
I develop first-order methods and GPU-accelerated solvers for
large-scale linear and semidefinite programming, using sparsity
and low-rank structure to reduce computational cost.
With
Santanu Dey
and
Renato D.C. Monteiro,
I study optimization for energy systems, including alternating-current
optimal power flow (AC-OPF). This research focuses on faster
algorithms for solving the associated semidefinite programming
(SDP) relaxations.
Our paper,
“Bicriteria Traffic Assignment,”
with Anton J. Kleywegt and Renato D.C. Monteiro, has been
submitted to Operations Research.
November 2026
I'm excited to attend the
2027
INFORMS Computing Society Conference at Carnegie Mellon
University in Pittsburgh, March 8–10, 2027, where I will
host a session. I look forward to connecting with researchers
working on linear and conic programming, nonlinear programming,
variational inequalities, and lower complexity bounds.
November 2026
I'm also excited to attend the
International Symposium
on Mathematical Programming (ISMP 2027) in Amsterdam,
July 25–30, 2027. I look forward to connecting with
researchers working on linear and conic programming, nonlinear
programming, variational inequalities, and lower complexity
bounds.
September 2026
On October 27, 2026, I will speak in the Georgia Tech ISyE
Theory Algorithms Computation Optimization Seminar (TACOS),
presenting joint work with my advisor
Dmitrii M. Ostrovskii
on entropy-smooth convex optimization.
Slides.
September 2026
I will give two talks in the Georgia Tech ISyE Student Seminar
Series: "A Low-Rank Augmented Lagrangian Frank-Wolfe-Based
Method for SDPs with Unbounded Feasible Regions" on September 23,
2026, based on joint work with my advisor
Renato
D.C. Monteiro and
Arnesh Sujanani; and
"Entropy-Smooth Convex Optimization Cannot Be Accelerated" on
October 14, 2026, based on joint work with my advisor
Dmitrii
M. Ostrovskii. Both talks will take place from
4:00–5:00 PM in George Tower 1102.
September 2026
At the
2026
INFORMS Annual Meeting in San Francisco, I will give two
talks on Sunday, November 1: "Low-Rank SDP over Unbounded
Domains via Hybrid Frank–Wolfe and Nonconvex Optimization"
in the invited session "First-Order Methods for Semidefinite
Programming" (8:00–9:15 AM), and "A Hybrid Sparse
Augmented Lagrangian Method for Large-Scale Linear Programming"
in the invited session "Recent Advances in Linear and
Semidefinite Programming" (11:30–11:45 AM, Moscone South
215). I will also co-chair the latter session with my advisor
Renato D.C. Monteiro.
SDP slides.
September 2026
On October 16, I will present "A Sparse Augmented Lagrangian
Method for Large-Scale Linear Programming" in the Georgia Tech
ACO Student Seminar. The talk is based on joint work with my
advisors
Anton
J. Kleywegt
and
Renato
D.C. Monteiro.
Presenting joint work called "Robust D-optimal design for
generalized linear models: Convex-concave structure and efficient
algorithms" with Dmitrii M. Ostrovskii in the ISyE PhD student
Seminar on April 17th.
Slides.
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 April 9th 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.