Research
I am an applied mathematician working at the intersection of network and graph theory, optimization, numerical analysis, and machine learning. A recurring theme in my work is modulus of families of objects, a flexible framework connecting classical potential theory to modern problems in graphs and networks.
Publications
A few selected papers are highlighted below. My complete, continuously updated list is available on Google Scholar and ORCID.
- Neural network based molecular structure retrieval from Coulomb explosion imaging data
- An Exact-Arithmetic Algorithm for Spanning Tree Modulus
- Mathematics of Networks
- Fourier Spectral Methods for Nonlocal Models
- A spectral FC solver for the compressible Navier–Stokes equations in general domains I: Explicit time-stepping
Grants
Selected externally funded research grants.
| Years | Project | Role | Source | Award |
|---|---|---|---|---|
| 2025–2031 | NSF EPSCoR Graduate Fellowship Program (EGFP) for K-State Math | Co-PI | NSF | $1,431,000 |
| 2025–2028 | MS in Statistical and Mathematical Intelligence and Learning | Co-PI | AIF Development Grant | $98,000 |
| 2022–2025 | Interactions among Analysis, Optimization, and Network Science | Co-PI | NSF Analysis | $370,892 |
| 2021–2024 | Novel Decompositions and Fast Numerical Methods for Peridynamics | Co-PI | NSF Applied Mathematics | $241,000 |
| 2018–2022 | RII Track-2 FEC: Field-Based Ecophysiological Genome-to-Phenome Prediction | Co-PI | NSF | $4,000,000 |
| 2016–2018 | PAPM EAGER: Wheat Phenome/Genome Sensing via Microwave Scattering Inversion | Co-PI | USDA | $102,000 |
| 2015–2018 | p-Modulus on Networks with Applications to the Study of Epidemics | PI | NSF Applied Mathematics | $504,567 |
| 2015–2017 | Collaborative Research: Prairie Analysis Seminar | Co-PI | NSF Conference Grant | $33,320 |
| 2012–2013 | MIMO Radar Clutter Modeling | PI | AFOSR STTR (Phase I) | $30,000 |
| 2006–2009 | NSF Postdoctoral Research Fellowship | PI | NSF | $108,000 |