Jeffrey Utley

Ph.D. Candidate, Department of Mathematics, Purdue University

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Research Bio

I am a Ph.D. candidate in the Department of Mathematics at Purdue University, specializing in Computational Science. My research lies at the intersection of applied mathematics and scientific software engineering, focusing on computational imaging, inverse problems, and statistical modeling. I work in the Integrated Imaging Lab under the guidance of Profs. Greg Buzzard and Charlie Bouman.

Currently, I collaborate with the Air Force Research Laboratory (AFRL) and Air Force Institute of Technology (AFIT) to advance airborne imaging systems. My research simulates the complex optical distortions caused by high-speed air turbulence, which degrades laser and camera performance. By combining physics-based models with modern machine learning, I build validated simulation pipelines that serve as a "virtual testbed." This allows engineers to evaluate and refine Adaptive Optics (AO) correction systems computationally, avoiding the prohibitive costs and risks of real-world flight testing.

Technical Skills

Languages:
Python C/C++ MATLAB Julia
Scientific Computing & ML:
PyTorch JAX NumPy/SciPy pandas OpenCV Reproducible Workflows
Tools:
Linux/UNIX Slurm (HPC) Git/GitHub LaTeX
Methods:
Inverse Problems Parameter Estimation Spectral Analysis Numerical Optimization

Recent News

Jan 2026 Submitted first first-author journal article: "Boiling flow estimation for aero-optic phase screen generation" (arXiv:2601.12171).
Aug 2025 Presented "Boiling flow parameter estimation from boundary layer data" at SPIE Optics + Photonics 2025 in San Diego, CA.
May 2025 Presented at the Annual Directed Energy Science and Technology Symposium (Virtual).
Feb 2025 Presented at Electronic Imaging 2025 in Burlingame, CA.

Leadership

As Vice 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 2025 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.

Honors & Awards

About Me

I am originally from Nashville, Tennessee and went to The University of Tennessee, Knoxville for my undergraduate degree, in math and computer science. In Knoxville, I really enjoyed the outdoors in the nearby Smoky Mountains and made great use of the many campsites and hiking trails. My favorite mountain was Mount Le Conte, hosting the beautiful Alum Cave and Rainbow Falls trails.

In early August 2022, I moved to Lafayette, Indiana to start my graduate studies at Purdue! Although the topography of Indiana is a bit different from East Tennessee, there are several great nearby trails such as the Wabash Heritage Trail, the trails at Prophetstown State Park, and Turkey Run State Park.

In addition to the regional outdoor activities, one of my favorite activities is attending live music events. Since Lafayette is in relatively close proximity to Indianapolis and Chicago, there are plenty of opportunities to see great artists coming through those cities. My favorite touring acts blend multiple genres, including blues, rock, jazz, funk, bluegrass, and country.