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). A Bochner-Kodaira approach to the Type IIA flow. In preparation.
- (With D.H. Phong, S. Picard and X.-W. Zhang). Geometric flows for the Type IIA string. Preprint.
- (With D.H. Phong, S. Picard and X.-W. Zhang). Estimates for a geometric flow for the Type IIB string. Preprint.
- (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.
- (With S. Picard). Anomaly flow and T-duality. To appear in Pure Appl. Math. Q..
- (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. To appear in ICCM Proceedings.
- (With B. Guo and D.H. Phong). Parabolic dimensional reductions of 11D supergravity. To appear in Analysis & PDE.
- (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. rnz076, Published Version.
- (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. To appear in J. Differential Geom..
- 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.