Dr Gechun Liang
I am a Reader at the Department of Statistics. My past positions include Associate Professor in the University of Warwick, Lecturer in King’s College London and Postdoctoral Research Fellow at the Oxford-Man Institute of Quantitative Finance. In 2018-2019, I was awarded FRIAS Senior Fellow and Marie Curie Fellow at the Freiburg Institute of Advanced Studies (FRIAS), University of Freiburg. I completed my D.Phil. (Ph.D.) in Mathematics at the Mathematical Institute, Oxford University in 2011.
The link to my personal webpage and CV .
My research interests are mainly focused on mathematical finance and stochastic control. I am especially interested in
- stochastic control and backward stochastic differential equations;
- optimal stopping and free boundary problems;
- viscosity solutions and numerics;
- optimal investment and forward preferences;
- credit and funding liquidity risks.
Selected publications:
- Callable convertible bonds under liquidity constraints and hybrid priorities, (with David Hobson and Edward Wang), SIAM Journal on Financial Mathematics, accepted.
- A monotone scheme for G-equations with application to the explicit convergence rate of robust central limit theorem, (with Shuo Huang), Journal of Differential Equations, Vol.398, (2024), 1-37.
- Predictable forward performance processes: Infrequent evaluation and applications to human-machine interactions, (with Moris Strub and Yuwei Wang), Mathematical Finance, Vol.33, No.4, (2023), 1248-1286.
- A new monotonicity condition for ergodic BSDEs and ergodic control with super-quadratic Hamiltonians, (with Joe Jackson), SIAM Journal on Control and Optimization, Vol.61, No.3, (2023), 1273-1296.
- A universal robust limit theorem for nonlinear Levy processes under sublinear expectation, (with Mingshang Hu, Lianzi Jiang and Shige Peng), Probability, Uncertainty and Quantitative Risk, Vol.8, No.1, (2023), 1—32.
- A game theoretical approach to homothetic robust forward investment performance processes in stochastic factor models, (with Juan Li and Wenqiang Li), SIAM Journal on Financial Mathematics, Vol.12, No.2, (2021), 867–-897.
- Systems of ergodic BSDE arising in regime switching forward performance processes, (with Ying Hu and Shanjian Tang), SIAM Journal on Control and Optimization, Vol.58, No.4, (2020), 2503-2534.
- An approximation scheme for semilinear parabolic PDEs with convex and coercive Hamiltonians, (with Shuo Huang and Thaleia Zariphopoulou), SIAM Journal on Control and Optimization, Vol.58, No.1, (2020), 165–191.
- Dynkin games with Poisson random intervention times, (with Haodong Sun), SIAM Journal on Control and Optimization, Vol.57, No. 4, (2019), 2962-–2991.
- An ergodic BSDE approach to forward entropic risk measures: representation and large-maturity behavior, (with Wing Fung Chong, Ying Hu and Thaleia Zariphopoulou), Finance and Stochastics, Vol.23, No.1, (2019), 239—273.
- Representation of homothetic forward performance processes in stochastic factor models via ergodic and infinite horizon BSDE, (with Thaleia Zariphopoulou), SIAM Journal on Financial Mathematics, Vol.8, No.1, (2017), 344-372.
- A multidimensional exponential utility indifference pricing model with applications to counterparty risk, (with Vicky Henderson), SIAM Journal on Control and Optimization, Vol.54, No.2, (2016), 690-717.
- Stochastic control representations for penalized backward stochastic differential equations, SIAM Journal on Control and Optimization, Vol.53, No.3, (2015), 1440-1463.
- Funding liquidity, debt tenor structure, and creditor’s belief: An exogenous dynamic debt run model, (with Eva Lutkebohmert and Wei Wei), Mathematics and Financial Economics, Vol.9, No.4, (2015), 271-302.
- Pseudo linear pricing rule for utility indifference valuation, (with Vicky Henderson), Finance and Stochastics, Vol.18, No.3, (2014), 593-615.
- A multi-period bank run model for liquidity risk, (with Eva Lutkebohmert and Yajun Xiao), Review of Finance, Vol.18, No.2, (2014), 803-842.
- The backward stochastic dynamics on a filtered probability space, (with Terry Lyons and Zhongmin Qian), Annals of Probability, Vol.39, No.4, (2011), 1422-1448.
The link to my publications.
Email: g.liang@warwick.ac.uk
Office: MS Building 2.07
Telephone: +44 024 76528036
Office hours: Wed/Fri 2:30-3:30.