Jeffrey Utley

PhD Candidate, Department of Mathematics, Purdue University

Graduating December 2026 · Open to Research Scientist & R&D positions (national labs, industry) · U.S. Citizen
Jeffrey Utley, Mathematics PhD candidate at Purdue University

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Research Bio

I am a PhD candidate in the Department of Mathematics at Purdue University (Computational Science concentration), developing statistically validated synthetic data generation algorithms and reproducible scientific software for turbulence-driven imaging and simulation. I work in the Integrated Imaging Lab under the guidance of Profs. Greg Buzzard and Charlie Bouman, with three years of DoD-funded research in active collaboration with the Air Force Research Laboratory (AFRL) and Air Force Institute of Technology (AFIT).

My algorithms simulate the complex optical distortions caused by high-speed aerodynamic turbulence. Using both physics-based models with modern statistical learning methods, I build validated synthetic data pipelines that serve as a “virtual testbed,” enabling engineers to evaluate and refine Adaptive Optics (AO) correction systems computationally and avoid the prohibitive costs of physical experiments. All algorithms are released as pip-installable, version-controlled Python packages with reproducible examples and full documentation.

Research at a Glance

Open-Source Software

AOModel

Python pip-installable ReVAR

pip-installable Python package implementing the ReVAR algorithm for data-driven synthesis of aero-optic phase screens. Validated on two wind tunnel datasets with worst-case 4% NRMSE on the temporal power spectrum.

pip install aomodel
View Code on GitHub

BoilingFlow

Python pip-installable Boiling Flow

pip-installable Python package implementing Boiling Flow parameter estimation and anisotropic phase-screen generation; extends a Fourier-based synthesis method with automated parameter estimation, validated on measured wind tunnel data.

pip install boiling-flow
View Code on GitHub

Technical Skills

Methods:
Synthetic Data Generation Inverse Problems Parameter Estimation Spectral Analysis Numerical Optimization Statistical Modeling Bayesian Inference Signal & Image Processing
Languages:
Python C/C++ MATLAB Julia
Scientific Computing:
NumPy/SciPy pandas Matplotlib Jupyter OpenCV seaborn
Machine Learning:
PyTorch JAX
HPC & Systems:
Linux/UNIX Bash SSH Slurm
Reproducibility & Tools:
Git/GitHub pip/conda setuptools/pyproject

Recent News

May 2026 Started my second consecutive AFRL Scholars Program appointment.
May 2026 "ReVAR: A data-driven algorithm for generating aero-optic phase screens" was accepted for publication in Journal of the Optical Society of America A.
May 2026 "Boiling flow estimation for aero-optic phase screen generation" was accepted for publication in Optical Engineering.
Apr 2026 Presented "ReVAR: A data-driven algorithm for generating aero-optic phase screens" at the Annual Directed Energy Science and Technology Symposium & Education Workshop in Tucson, AZ.
Apr 2026 Submitted a new preprint: "ReVAR: A data-driven algorithm for generating aero-optic phase screens" (arXiv:2604.02326).

Leadership & Service

As President of the Purdue SIAM Student Chapter, I lead the planning of social events to foster a collaborative student community. I also coordinate logistics for the annual SIAM Student Chapter Conference, providing a platform for research dissemination and professional networking (see the 2026 Conference).

Additionally, I co-organize the weekly Purdue SCAM/CCAM Lunch Seminar, where I facilitate technical exchange among graduate students and postdocs in computational science by recruiting speakers and managing seminar operations.

I also serve as a peer reviewer for Optical Engineering (SPIE), where I have reviewed two manuscripts since 2025.

Honors & Awards

About Me

Originally from Nashville, TN, I earned my B.S. at the University of Tennessee, Knoxville, where I enjoyed hiking in the Smoky Mountains (Mount Le Conte being a favorite). Since August 2022 I’ve been in West Lafayette, IN for graduate school, where I've found a similar enjoyment at nearby trails such as Wabash Heritage Trail, Prophetstown State Park, and Turkey Run State Park. Outside research, I enjoy live music in Indianapolis and Chicago — mostly genre-blending acts in blues, rock, jazz, funk, bluegrass, and country.