Welcome to my research page. Currently, I am a PhD student with the mathematics department at Purdue University. Tentatively, I will work with the pure faculty here at Purdue in Riemannian and Kähler geometry. For fall 2026, I am a member of the Geometric Analysis Seminar at Purdue. I was fortunate to previously have had mentors of Xiaohui Chen, Paul Atzberger, and Chris Anderson.
My research interests can best be categorized as complex geometry, geometric deep learning, and analysis for neural networks. Recently, I have been developing techniques in spin glass. I spend most of my time these days trying to pioneer the field of complex geometry and Kähler manifolds in AI. More recently, I am interested in the Song-Tian program and the Kähler-Ricci flow. On the side, I am attempting to learn string theory and quantum field theory.
This semester, I am a grader for real analysis. If you are in the class and have comments or questions, please reach out.
If you are Purdue undergraduate interested in the Directed Reading Prorgram with me, please feel free to reach out. I can offer supervision in the areas of geometric deep learning, physics-informed learning, and analysis of neural networks.
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.
I was affiliated with the Grainger College of Engineering through DIGIMAT. Previously, I was a member of Atzberger Research Group. At UCLA, I was also briefly mentored by Frederic Schoenberg in the department of statistics. I was briefly at the London School of Economics, where I studied accounting and finance.
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. I receive a lot of mass email so if you are truly intending to contact me and receive no response, LinkedIn also works great. If you are extending an invite for me to speak at a venue or conference, please do not hesitate to follow up or invite me via a LinkedIn message. Please do not send me links or files because I cannot click them. If you’d like to show me a paper, arXiv links are safe.
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The Isle of Eigg in Laig Bay, Scotland