About

My name is Daniel Profili, and I am a recent PhD graduate in mathematics. I studied at North Carolina State University, and my advisor was Hoon Hong.

My research interests are symbolic computation, constructive real algebraic geometry, and mathematical software development. My PhD dissertation is about designing algorithms to efficiently generate conditions on parametric matrices so that their eigenvalues are arranged in a given order.

More broadly, I am interested in developing mathematical and/or scientific software bridging mathematics and interdisciplinary areas, with the primary goal of making mathematics more accessible.

Publications

1. Hong, Hoon, Daniel Profili, and J. Rafael Sendra. “Conditions for eigenvalue configurations of two real symmetric matrices (signature approach).”. SIAM Journal on Matrix Analysis and Applications (pending). (2026).
2. Hong, Hoon, Daniel Profili, and J. Rafael Sendra. “Conditions for eigenvalue configurations of two real symmetric matrices (symmetric function approach).” arXiv preprint arXiv:2401.00089 (2026).
3. Santiesteban, Daniela Y., Diego S. Dumani, Daniel Profili, and Stanislav Y. Emelianov. Copper Sulfide Perfluorocarbon Nanodroplets as Clinically Relevant Photoacoustic/Ultrasound Imaging Agents. Nano Letters 2017 17 (10), 5984-5989, DOI: 10.1021/acs.nanolett.7b02105.