Dynamical Systems
State-dependent delay differential equations; delay equations; nonlinear dynamical systems; stability and bifurcation; mathematical modeling of biological systems.
Welcome to my website!!
I'm Lily, a second-year Ph.D. student in mathematics at the University of Pittsburgh working primarily in applied mathematics, mathematical biology, and dynamical systems. My current research with Dr. Sabrina Streipert focuses on state-dependent delay differential equations. I am particularly interested in mathematical modeling of carnivorous plants, plant ecology, benthic ecology, and eutrophication, as well as the study and construction of spaces of finite elements. My broader interests include differential geometry, scientific computing, optimization, machine learning, and computational biology and chemistry.
Outside of mathematics, I'm interested in public policy, computer networks, urban geography, simulation and procedural generation, hardware, music production, speed-typing, and competitive rhythm games. I'm always happy to hear from people interested in collaborating.
— The best time to plant a tree was 20 years ago. The second-best time is now.
Research Interests
Mathematical Biology & Ecology
Mathematical modeling of carnivorous plants; plant ecology; benthic ecology; eutrophication; fluid transport, and biohazards.
Finite Element Spaces
Finite element exterior calculus; polynomial differential forms and double forms
Scientific Computing
Numerical methods; scientific computing; optimization; machine learning; computational biology and chemistry
Featured Work
- Finite Element Spaces of Double Two-Forms With Polynomial Coefficients
Y. Berchenko-Kogan, L. DiPauloPDFarXiv:2511.19297
Projects
Recent Activity
Recently played · osu!
Webrings
tbd
Changelog
- 09/28/26 Set up GitHub, added 88x31, visitor count, general cleanup
- 09/27/26 Overhauled osu! page, updated selfie, updated research interests and bio
- 05/27/26 Posted website to Neocities :3
Blinkie Wall
