2018.01-2021.12, Principal investigator, Contact Hamiltonian systems and propagation of singularities of viscosity solutions to a class of PDEs,National Natural Science Foundation of China(General Program).
2014.01-2017.12, Principal investigator, Some problems in weak KAM theory,National Natural Science Foundation of China(General Program).
2011.01-2013.12, Principal investigator, Some problems in Aubry-Mather theory for higher dimensional Hamiltonian systems,National Natural Science Foundation of China(Youth Foundation).
2011.01- 2013.12, Principal investigator, Aubry-Mather theory for higher dimensional quasi-periodic Hamiltonian systems,Research Fund for the Doctoral Program of Higher Education.
2011-2012, Principal investigator, New Lax-Oleinik type operators for time-periodic positive definite Lagrangian systems,China Postdoctoral Science Foundation(Special Foundation).
2010-2012, Principal investigator, Minimal solutions of Monge-Ampère equations,China Postdoctoral Science Foundation(General Program).
2010-2011, Principal investigator, Rate of convergence of Lax-Oleinik semigroups in weak KAM theory,Shanghai Postdoctoral Science Foundation(General Program).