I am a PhD student at the Stanford Institute of Computational and Mathematical Engineering (ICME). I graduated from the University of California, Berkeley in 2015 with a Bachelor of Arts degree in Pure Mathematics. My research interests lie in the applications of mathematical tools to quantify urban resilience to climate change.
Education & Certifications
Bachelor of Arts, University of California, Berkeley, Pure Mathematics (2015)
Service, Volunteer and Community Work
Creative Writing Workshop, Orchid School, Pune, India (December 2015)
Designed and conducted a creative writing workshop for seventh graders.
Cal Teach Program, New Highland Academy, Oakland, CA (1/1/2013 - 5/1/2013)
Taught math to fifth graders for twelve hours over a semester.
Fiction writing, learning new languages, long distance running, hiking.
Current Research and Scholarly Interests
We are currently limited in our understanding of what drives fast ice flow in Antarctica. I study water systems at the interface of the ice and the underlying bed and their coupled dynamics with ice and sediment. My goal is to understand how subglacial meltwater facilitates fast flow.
- Spatial heterogeneity in subglacial drainage driven by till erosion PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 2019; 475 (2228)
Spatial heterogeneity in subglacial drainage driven by till erosion.
Proceedings. Mathematical, physical, and engineering sciences
2019; 475 (2228): 20190259
The distribution and drainage of meltwater at the base of glaciers sensitively affects fast ice flow. Previous studies suggest that thin meltwater films between the overlying ice and a hard-rock bed channelize into efficient drainage elements by melting the overlying ice. However, these studies do not account for the presence of soft deformable sediment observed underneath many West Antarctic ice streams, and the inextricable coupling that sediment exhibits with meltwater drainage. Our work presents an alternate mechanism for initiating drainage elements such as canals where meltwater films grow by eroding the sediment beneath. We conduct a linearized stability analysis on a meltwater film flowing over an erodible bed. We solve the Orr-Sommerfeld equation for the film flow, and we compute bed evolution with the Exner equation. We identify a regime where the coupled dynamics of hydrology and sediment transport drives a morphological instability that generates spatial heterogeneity at the bed. We show that this film instability operates at much faster time scales than the classical thermal instability proposed by Walder. We discuss the physics of the instability using the framework of ripple formation on erodible beds.
View details for DOI 10.1098/rspa.2019.0259
View details for PubMedID 31534428
View details for PubMedCentralID PMC6735472
- ERGODICITY AND CONSERVATIVITY OF PRODUCTS OF INFINITE TRANSFORMATIONS AND THEIR INVERSES COLLOQUIUM MATHEMATICUM 2016; 143 (2): 271-291
- On the Sendov Conjecture for a Root Close to the Unit Circle Australian Journal of Mathematical Analysis and Applications 2014; 11 (1): 1-34