Welcome to my research page. I am a PhD student in mathematics at Purdue University. I was very fortunate to previously have had mentors of Xiaohui Chen, Paul Atzberger, and Chris Anderson.
I study pure and applied mathematical foundations of artificial intelligence. My research interests can best be categorized as scientific machine learning, physics-informed learning, geometric deep learning, deep learning for differential equations (ODEs, PDEs, SDEs), and calculus of variations, although my research interests are broad and intersect other areas of mathematics but in ML.
Please feel free to contact me. I strongly encourage you to reach out if you have questions, comments, or want to chat about mathematics or otherwise. Do not hesitate to add me on LinkedIn or shoot me an email.
At Purdue University, I was mentored by Rongjie Lai in Fall 2025. I am a graduate with partial affiliation to the Center for Computational and Applied Mathematics (CCAM).
At UIUC, I was a fellow for Grainger College of Engineering through DIGIMAT, a research group focused on the interface of data science, statistical physics, and materials science. DIGIMAT is co-hosted by the National Center for Supercomputing Applications and Materials Research Lab.
Previously, I was a member of Atzberger Research Group, a group focused on statistical physics, numerical analysis, scientific computation, and machine learning.
One can reach me by email. My university email is agracyk at purdue dot edu, but my permanent email is andrewgracyk at gmail dot com. Either works great. Please do not send me links or files because I cannot click them. If you’d like to show me a paper, please provide the title with a first and last name and I will find it on arXiv.
After academia, I have some interest in industry roles in research labs that do hardcore mathematics and AI or in trading securities. Please feel free to reach out.
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A snowfield on a frozen fjord in Tromsø, Norway
andrewgracyk.com 