Portrait of Luke Bhan

About

Luke Bhan

PhD candidate at UC San Diego, working where scientific machine learning meets control theory.

I build algorithms that control real-world systems, pairing the speed of machine learning with the guarantees of control theory. Specifically, I design neural operators with provable guarantees for systems ranging from PDEs and robots to biological systems. I'm thankful to be advised by Yuanyuan Shi and Miroslav Krstić, and supported by the DOE Computational Science Graduate Fellowship.

Physics Applied mathematics Computer science PDE systems Robotics & autonomy Biological systems Scientific ML × control theory Ph.D. research Foundations Applications
My Ph.D. distills a foundation in physics, mathematics, and computing into one method for controlling systems, now reaching across a growing range of domains.

The path (so far...)

  1. 2018 – 2022
    Vanderbilt University

    I did an accelerated B.S./M.S. majoring in physics, applied mathematics, and computer science. At Vandy, I made my first exploration into research, working on laser-driven electron dynamics, and took my first steps in reinforcement learning and robotics. I also learned to code the old-fashioned way (without Claude or GPT), interning at both T-Mobile and MongoDB. I will forever cherish my Vanderbilt years!

  2. 2022 – now
    UC San Diego

    Ph.D. in Electrical & Computer Engineering with Yuanyuan Shi and Miroslav Krstić, developing neural operators with control-theoretic guarantees. DOE Computational Science Graduate Fellow.

  3. 2024
    Lawrence Berkeley National Laboratory

    Randomized linear-algebra solvers for distributed nonconvex optimization.

  4. 2025
    Amazon

    Custom LLMs adjusting time-series demand forecasts across 30M+ products.

  5. 2026
    Microsoft

    Research scientist intern building foundation models for the power grid.

Education

2022 – present
Ph.D., Electrical & Computer Engineering
UC San Diego
2020 – 2022
M.S., Computer Science
Vanderbilt University
2018 – 2020
B.S., Computer Science & Physics
Vanderbilt University

Honors

  • Best Paper Finalist, Learning for Dynamics & Control (L4DC) 2025 (3 of 119)
  • Commitment to Diversity Award, UC San Diego ECE
  • Underwood Memorial Award, Vanderbilt Physics & Astronomy (outstanding graduating senior)
  • Best Undergraduate Paper, Vanderbilt Physics & Astronomy

Grants & fellowships

  • DOE Computational Science Graduate Fellowship (four-year PhD support, $400k+)
  • NVIDIA Academic Grant, co-investigator (8 RTX Blackwell GPUs donated to support PDEControlGym, ≈$150k)
  • First-Year Ph.D. Fellowship, UC San Diego ECE (≈$100k)

Industry & national-lab experience

2026
Research Scientist Intern, Microsoft · developing foundation models for the power grid.
2025
Applied Scientist Intern, Amazon · custom LLMs adjusting time-series demand forecasts across 30M+ products; work led to an internal AMLC paper.
2024
Research Intern, Lawrence Berkeley National Laboratory · randomized linear-algebra solvers for distributed nonconvex optimization, enabling real-time parallel optimization for control of dynamical systems.
2021
Software Engineering Intern, MongoDB · compression algorithm for the time-series database.
2020
Machine Learning Intern, T-Mobile · analytics API for visualizing network load to anticipate downtime.

Leadership & service

  • Organizer, PDE-AI Workshop on AI for Modeling, Control, and Optimization of PDEs, ACC 2026
  • Co-Instructor, Physics-Informed Machine Learning, UC San Diego (see my teaching)
  • Reviewer for Automatica, IEEE Transactions on Automatic Control, Systems & Control Letters, ICLR, L4DC, CDC, ACC, and AAAI

Mentoring

I mentor hands-on, meeting each student in weekly one-on-ones and working alongside them from framing the problem to the final result.

  • Peter Quawas 2026 · UC San Diego undergraduate, currently a student

    Built the robotic-manipulator simulations showing the neural-operator predictor holds accurate tracking even when the state is measured only at sparse, irregular, and noisy times.see publication →

  • Filip Bajraktari 2025 · University of Belgrade undergraduate → now M.S. candidate, ETH Zurich

    Led this paper under my mentorship, developing both the theory and the experiments for compensating several distinct input delays at once, demonstrated on a car-like vehicle with different delays on its steering and acceleration.see publication →

  • Peijia Qin 2025 · Southern University of Science and Technology undergraduate → now Ph.D. candidate, UC San Diego

    Developed the manipulator experiments for our Best Paper Finalist work, where a learned predictor tracks a target signal under a long actuation delay that would otherwise destabilize the loop.see publication →

  • Gabriel Bortoni 2024 · UC San Diego undergraduate, currently a student

    Implemented the neuron-model (Stefan) environment in PDE Control Gym, our open benchmark for data-driven boundary control.see the project →

  • Gokul Gandhikumar 2024 · UC San Diego master's student, currently a student

    Added the ARZ traffic-flow environment to PDE Control Gym, extending the benchmark to congestion-control problems.see the project →

  • Evan Wu 2024 · UC San Diego undergraduate, currently a student

    Built the glioblastoma tumor-growth environment for PDE Control Gym, bringing a medical boundary-control problem into the benchmark.see the project →

  • Yunhao Li 2023 · UC San Diego undergraduate → now Ph.D. candidate, University of Wisconsin

    Investigated the dynamics of neural ODEs and delivered a literature review on learning-based control to our research group.

Outside research

My dog, Erwin
My dog, Erwin.
Playing ice hockey
Learning hockey as an adult, one skate at a time (I'm on the right).

Outside the lab, most of my time goes to my dog, Erwin, and, lately, to learning ice hockey as an adult, despite barely being able to skate when I started.

← Back to home