My research explores the mathematical structures within biological and statistical models. During my senior undergraduate years and throughout my master’s degree, I used symbolic computation and algebraic geometry to analyze dynamical properties in chemical reaction networks such as multistationarity and multistability.
Now, as a PhD candidate, I focus on toric structures in complex models, like Gaussian graphical models and chemical reaction networks, using tools from algebraic geometry, algebraic statistics, Lie theory, and combinatorics. This toric structure is important for hypothesis testing algorithms and for finding positive and multi-positive solutions of systems of ODEs. My long-term goal is to distill general principles from these studies to form a unifying framework for models across the life sciences.
Beyond mathematics, I enjoy playing badminton, cooking, and playing the piano.
| Name | Position | Current Institution | Date |
| Joseph Leach | Bachelor Student | University of Oxford | January 2026 |
| Danai Deligeorgaki | Wallenberg Postdoctoral Fellow | University of Barcelona | June 2026 -- |
| Name | Position | Website | |
| Joan Pascual Ribes | Intern | June 2025 -- August 2025 | |
| tahda queer | Intern | July 2025 -- August 2025 |
| Name | Institution | Date |
| Benjamin Hollering | MPI MiS Leipzig | August 10-September 18, 2026 |
| Irem Portakal | MPI MiS Leipzig | August 10-September 18, 2026 |
| Luca Sodomaco | MPI MiS Leipzig | August 10-September 18, 2026 |
| Angelo El Saliby | MPI MiS Leipzig | August 10-September 18, 2026 |
| Elke Neuhaus | MPI MiS Leipzig | August 10-September 18, 2026 |
| Niharika Paul | MPI MiS Leipzig | August 10-September 18, 2026 |
| Francesco Nowell | TU Berlin | August 10-September 18, 2026 |
| Stephen Meltzer | University of Waterloo | June 15-16, 2026 |
| Jeremy Gunawardena | Pompeu Farba University of Barcelona | April 15-17, 2026 |
| Alvaro Ribot | Harvard University | January 29, 2026 |
| Timo de Wolf | Technische Universität Braunschweig | December 1-5, 2025 |
| Paul Breiding | University of Osnabrück | November 26, 2025 |
| Teresa Yu | MPI MiS Leipzig | September 11-13, 2025 |
| Danai Deligeorgaki | KTH Royal Institute of Technology | April 24-25, 2025 |
| Skye Rothstein | MPI MiS | April 17, 2025 |
| Joseph Johnson | KTH Royal Institute of Technology | December 2-6, 2024 |
| Emma Cardwell | Harvard University | October 25-31, 2024 |
| Shelby Cox | MPI MiS Leipzig | October 17, 2024 |