About
I’m a researcher in computational mathematics and data science. My specialties are symbolic computation, constructive real algebraic geometry, and mathematical software development. I am especially interested in developing mathematical and scientific software bridging mathematics and interdisciplinary areas so that mathematics can be more accessible.
Education
- North Carolina State University Ph.D Mathematics (2026)
- Georgia Institute of Technology B.S. Mathematics, B.S. Computer Science (2021)
Work Experience
- Naval Information Warfare Center (NIWC) Atlantic High
Performance Computing Intern (Summer 2026)
- AI/Machine Learning Workflows: Researched and developed an LLM workflow allowing users to create and interact with knowledge graphs using natural language. Utilized tools including Neo4J, Model-Context Protocol (MCP), and Retrieval-Augmented Generation (RAG).
- High-Performance Scalable Data Pipelines: Engineered scalable data pipelines and automated machine learning workflows using Apache Spark, SQL, and Python to model maritime time-series data on high-performance computing clusters. Designed and evaluated complex data processing frameworks by implementing a genetic algorithm to construct graphical models from large-scale GPS datasets; executed statistical analysis to quantify model fit and performance.
- Georgia Tech Research Institute (GTRI) Software Engineering
Co-op (2018-2020)
- Embedded Software Development: Practiced Agile methodologies to write clean, efficient, and maintainable code in Python, C#, and C++; authored comprehensive technical documentation.
- Radar Systems: Designed, implemented, and maintained both backend and frontend features for radar systems testing software.
Talks
- AMS Joint Mathematics Meeting (2026) Conditions for eigenvalue configurations of two real symmetric matrices: a stochastic definition
- International Symposium on Symbolic and Algebraic Computation (2024) Poster: Conditions for eigenvalue configurations of two real symmetric matrices (Distinguished Poster Award)
Publications
- 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).
- Hong, Hoon, Daniel Profili, and J. Rafael Sendra. “Conditions for eigenvalue configurations of two real symmetric matrices (symmetric polynomials approach).” Journal of Symbolic Computation (pending) (2026).
- 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.