Publications
Xiaodong Cao and Hung Tran. Four-manifolds of pinched sectional curvature. Pacific J. Math., Accepted 2022. ArXiv version.
Hung Tran. The Gauss map of a free boundary minimal surface. Comm. Anal. Geom., 29 (2): 483-499, 2021. ArXiv version. Print Version.
Graham Smith, Ari Stern, Hung Tran, and Detang Zhou. On the Morse index of higher-dimensional free boundary minimal catenoids. Calc. Var. Partial. Differ. Equ. , 60 (208), 2021. ArXiv version. Print Version.
Hung Tran. Index characterization for free boundary minimal Surfaces. Comm. Anal. Geom., 28 (1): 189-222, 2020. ArXiv version. Print Version.
A. Gruber, M. Toda, H. Tran. Willmore-Stable Minimal Surfaces. American Institute of Physics Proceedings of the 18th International Conference of Numerical Analysis and Applied Mathematics , Accepted, 2020.
E. Aulisa, A. Gruber, M. Toda, H. Tran. New Developments on the p-Willmore Energy of Surfaces. Bulgarian Academy of Sciences Proceedings - Avangard Prima 2020 (21st Intern. Conference on Geometry, Integrability and Quantization) , 57-65, 2020.
Anthony Gruber, Magdalena Toda, and Hung Tran. On the variation of curvature functionals in space forms with application to a generalized Willmore energy. Annals of Global Analysis and Geometry , 56 (1): 147-165, 2019. Print Version.
Xiaodong Cao and Hung Tran. Einstein four manifolds with pinched sectional curvature. Adv. Math., 335: 322-342, 2018. Print Version.
Hung Tran. On closed manifolds with harmonic Weyl curvature. Adv. Math., 322: 861-891, 2017. Print Version.
Richard Schoen and Hung Tran. Complete manifolds with bounded geometry and spectral gaps. J. Differential. Equations., 261(4): 2584-2606, 2016. Print Version.
Xiaodong Cao and Hung Tran. The Weyl tensor of Gradient Ricci Solitons. Geom. Top., 20: 389-346, 2016. Print Version.
Xiaodong Cao, Hongxin Guo, and Hung Tran. Estimates for conjugate heat kernel on evolving manifolds. Math. Z., 281(1): 201-214, 2015. Print Version.
Xiaodong Cao and Hung Tran. Mean value inequalities and conditions to extend the Ricci flow. Math. Res. Lett., 22 (2): 417-438, 2015. Print Version.
Mihai Bailesteanu and Hung Tran. Heat kernel estimates under the Ricci-Harmonic map flow. Proc. Edinb. Math. Soc. (2), 60(4): 831-857, 2017. Print Version.
Hung Tran. Harnack estimates for Ricci flow on warped Products. J. Geom. Anal., 26 (3): 1838-1862, 2015. Print Version.
Hung Tran. Aspects of the Ricci flow. PhD Thesis, Cornell University, 2014. Print Version.
Edward Newkirk, Jonathan Dahlberg, Alexander Dubbs and Hung Tran. Regions in the plane with density r^p. New York J. Math., 16: 31-51, 2010. Print Version.
Preprints
Pyo Juncheol, Dung Nguyen, Hung Tran. First Stability Eigenvalue of Singular Hypersurfaces with Constant Mean Curvature in Spheres. Submitted, 2021.
Xiaodong Cao, Matthew Gusky, Hung Tran. Curvature of the Second Kind and a Conjecture of Nishikawa. Submitted , 2021. ArXiv version.
Hung Tran and Detang Zhou. On the Morse index with constraints: An abstract formulation. Submitted , 2020. ArXiv version.
Hung Tran and Detang Zhou. On the Morse index with constraints for Capillary Surfaces. Submitted , 2020. ArXiv version.
Anthony Gruber, Magdalena Toda, and Hung Tran. Stationary Surfaces with Boundaries. Submitted , 2020. ArXiv version.