I utilize mathematical and numerical techniques to understand how ions, particles, and cells move and self-organize. This is a personal space where I share science and educational posts from my work. For official information, please see my professional page and my research group's page, LIFE (Laboratory of Interfaces, Flow, and Electrokinetics).
Some of the broader implications of our group's work have been covered in the following outlets.
Coverage of our work on Turing patterns and biological self-organization.
On the mathematical principles behind pattern formation in nature.
On our work understanding how ions move and self-organize in solution.
Interactive posts on science, research, and the tools we use. These are meant to share our work with a broader audience.
An interactive companion to a class-and-home problem on a common misconception: a constant electric field implies electroneutrality, but electroneutrality does not imply a constant electric field. Solve a binary cell, add a supporting electrolyte, and watch the limiting current bend.
Still being edited — expect rough edges. An interactive companion to our paper (led by Grace Origer with Ritu R. Raj) on ion transport in electrochemical cells. Solve the PNP equations in your browser and compare them to the textbook balance sheet approach taught in Bard, Faulkner & White.
We used AI to solve a mathematical physics problem on how particle shape affects electrophoretic mobility. Includes interactive visualizations of the physics and an honest account of where AI helped and where it stumbled.