My research interests are in differential geometry, geometry analysis, mathematical physics and related areas.
My publications can be found on arXiv, Google Scholar, MathSciNet, INSPIRE.
- (With D.H. Phong, S. Picard and X.-W. Zhang). Stability of the Type IIA flow and its applications in symplectic geometry. Submitted.
- (With D.H. Phong). Symplectic geometric flows. To appear in Pure Appl. Math. Q.
- (With D.H. Phong, S. Picard and X.-W. Zhang). Bochner-Kodaira formulas and the Type IIA flow. J. Geom. Anal. 33 (2023), No. 2, 48. Published Version. MR4523515.
- (With D.H. Phong, S. Picard and X.-W. Zhang). Geometric flows for the Type IIA string. Camb. J. Math. 9 (2021), No. 3, 693-807. Published Version. MR4400736.
- (With D.H. Phong, S. Picard and X.-W. Zhang). Estimates for a geometric flow for the Type IIB string. Math. Ann. 382 (2022), No. 3-4, 1935-1955. Published Version. MR4403240.
- (With D.H. Phong). Unification of the Kähler-Ricci and Anomaly flows. In Differential Geometry, Calabi-Yau Theory, and General Relativity, 89-104 (2018), Vol. 23 of Surveys in Differential Geometry, International Press. Published Version. MR4451825.
- (With S. Picard). Anomaly flow and T-duality. Pure Appl. Math. Q. 17 (2021) No. 3, 1083-1112. Published Version. MR4278960.
- (With B. Guo and D.H. Phong). On convergence criteria for the coupled flow of Li-Yuan-Zhang. Math. Z. 292 (2019) No. 1-2, 473-497. Published Version. MR3968911.
- Generalized Calabi-Gray geometry and heterotic superstrings. In Proceedings of the International Consortium of Chinese Mathematicians, 2017, 261-282 (2020), International Press. Published Version. MR4251114.
- (With B. Guo and D.H. Phong). Parabolic dimensional reductions of 11D supergravity. Anal. PDE 14 (2021), No. 5, 1333–1361. Published Version. MR4307211.
- (With B. Guo and D.H. Phong). A geometric construction of solutions to 11D supergravity. Comm. Math. Phys. 369 (2019) No. 2, 811-836. Published Version. MR3962009.
- (With Z.-J. Huang and S. Picard). The Anomaly flow over Riemann surfaces. Int. Math. Res. Not. 2021 (2021), No. 3, 2134-2165. Published Version. MR4206607.
- (With Z.-J. Huang). An estimate of the first eigenvalue of a Schrödinger operator on closed surfaces. Proc. Amer. Math. Soc. 146 (2018) No. 4, 1599-1602. Published Version. MR3754344.
- (With Z.-J. Huang and S. Picard). A construction of infinitely many solutions to the Strominger system. J. Differential Geom. 117 (2021) No. 1, 23-39. Published Version. MR4195751.
- Some torsional local models of heterotic strings. Comm. Anal. Geom. 25 (2017) No. 5, 941-968. Published Version. MR3733796.
- A construction of non-Kähler Calabi-Yau manifolds and new solutions to the Strominger system. Adv. Math. 302 (2016), 529-550. Published Version. MR3545938.
- Stable forms, vector cross products and their applications in geometry. Preprint.
- (with S.-T. Yau). Invariant solutions to the Strominger system on complex Lie groups and their quotients. Comm. Math. Phys. 338 (2015) No. 3, 1183-1195. Published Version. MR3355812.
- (with K. Cordwell and K. Zhou). On lower central series quotients of finitely generated algebras over Z. J. Algebra 423 (2015), 559-572. Published Version. MR3283731.
- (With J. Zhang). Information Geometry with (Para-)Kähler Structures. In Information Geometry and Its Applications: IGAIA IV Liblice, Czech Republic, June 2016, 297-321 (2018), Springer. Published Version. MR3876122.
- (With J. Zhang). Interaction of Codazzi couplings with (para-)Kähler geometry. Results Math. 72 (2017) No. 4, 2037-2056.
Published Version. MR3735541.
- My Thesis. MR3593383.