Worked on systematically selecting degree of freedom for volatility curve based on cross validation
Built a framework of option microprice calibration given multi-level order book information, based on Markov Chain technique, and which does not depend on the horizon chosen for mid prediction
Researched on a Kalman filter framework based on PCA components
Researched on relationship between vol fit's uncertainty and trade PNL
Calibrated fit frequency by minimizing weighted delay loss, given total computing capacity
Associate, Automated Market Making Strats
Morgan Stanley
New York
01.2018 - 01.2021
Worked on analyzing fit change by conditioning edge and PNL on price change
Proposed and implemented a new Kalman filter variance calibration method for vol time series based on prediction error, and demonstrated improvement under various metrics
Calibrated correlation decay factor across option strikes, and designed a way to decay non-bbo quote sizes, together they make confidence estimation controlled against quote depth and strike density
Calibrated delta-dependent parameters for measuring the error in observed market quotes
Summer Associate, Automated Market Making Team
Morgan Stanley
New York
06.2017 - 08.2017
Worked on finding optimal trading strategies to hedge positions of correlated assets
Implemented finite element method in Python from scratch, to solve these free-boundary PDEs
Used simulated data to show that the proposed strategy outperforms a benchmark strategy
Education
Ph.D. - Mathematics
Columbia University
New York, NY
12.2017
B.S. (Hons) - Mathematics
University of Science and Technology of China
Hefei, China
06.2012
Skills
C/C, Python, Matlab, LaTeX, q/kdb
Publications
"Stochastic integral equation for Walsh semimartingales" (2018), with T. Ichiba, I. Karatzas and V. Prokaj. Annales de l’ Institut Henri Poincaré (Sér. B: Probabilités et Statistique) 54(2), 726-756.
"Semimartingales on rays, Walsh diffusions, and related problems of control and stopping" (2019), with I. Karatzas. Stochastic Processes & Their Applications 129(6), 1921-1963.