Lucien D. Werner
 |
PhD Candidate, Resnick Graduate Fellow |
About me
I am a mathematician interested in the theory of cyber-physical systems, which include large-scale networks like the power grid and the Internet of Things. My goals are to advance the mathematics that underlie these systems and accelerate the adoption of renewable sources that contribute to sustainable energy production. My past research has been on the dynamics of vegetation pattern formation in arid ecosystems threatened by desertification, drought, and human encroachment. I am currently pursuing a PhD in Computing & Mathematical Sciences at Caltech as a Resnick Graduate Fellow.
Outside of mathematics, I have a career as a cellist and continue to perform around the world–often with my three sisters who are all also musicians and mathematicians. Prior to joining Caltech, I received degrees in mathematics, music, and politics from Northwestern University, Harvard University, and Montana State University.
Research
My research interests include
Power systems, smart grid
Machine Learning
Graph algorithms
Renewable energy, sustainability
Publications
Gandhi P, Werner L, Iams S, Gowda K, and Silber M. “A topographic mechanism for arcing of dryland vegetation bands.” Journal of The Royal Society Interface 15, no. 147 (2018): 20180508.
Li T, Werner L, Low S. “Learning Graph Parameters from Linear Measurements: Fundamental Trade-offs and Application to Electric Grids.” Online Version (2019)
Presentations
Werner L, Gandhi P. How terrain bends arcs: a topographic mechanism for curvature, SIAM Conference on Applications of Dynamical Systems (poster presentation), May 2017
Education
PhD., Computing & Mathematical Sciences, California Institute of Technology
M.M., Cello Performance, Northwestern University Bienen School of Music, December 2015
M.S., Engineering Sciences & Applied Mathematics, Northwestern University, June 2015
A.B., Government cum laude, Harvard University, May 2013
B.S., Mathematics, Montana State University, May 2009