Research Areas

Geometric analysis and spectral theory.

Convex geometry and geometric inequalities.


University of British Columbia, Vancouver, BC, Canada

Ph.D. candidate in Mathematics September 2017 - July 2021 

Advisors: Jingyi Chen and Ailana Fraser

Topics: Geometric analysis and spectral theory.

Thesis: Index estimate and compactness of constant mean curvature surfaces and Steklov eigenvalues in higher dimensions.

Memorial University of Newfoundland, St. John's, Canada

M.Sc. in Mathematics September 2015 - July 2017 

Advisor: Deping Ye

Topics: Convex geometry and functional inequalities.

Thesis: Towards the Orlicz-Brunn-Minkowski theory for geominimal surface areas and capacity.

Shanghai University, Shanghai, China

B.Sc. in Mathematics September 2011 - June 2015

Work Experience

Postdoc at Yau Mathematical Sciences Center September 2021 - now

Honors and Awards

Tsinghua Shuimu Scholar

International Postdoctoral Exchange Fellowship

China Postdoc Science Foundation.

2017-present: International Tuition Award, Graduate and Postdoctoral Studies, UBC.

2017-present: Faculty of Science PhD Tuition Award, Graduate and Postdoctoral Studies, UBC.

2015-2017: Graduate Scholarship. Memorial University of Newfoundland

2015: Outstanding Undergraduate of Shanghai. Shanghai Education Bureau

2013: Second Prize of China Undergraduate Mathematical Contest in Modeling. The Organizing

Committee of the National

2012: Second Prize of American Mathematical Contest in Modeling. Consortium for Mathematics

and Its Applications

2011-2015: Special Scholarship of Shanghai University. Shanghai University


[1]X. Hans Han, Y. He and H. Hong Large Steklov eigenvalue on hyperbolic surfaces, arXiv:2210.06752,(2022).

[2]H. Hong and A. Saturnino, Capillary surfaces: stability, index and curvature estimates, arXiv:2105.12662,(2022)

[3]N. S. Aiex and H. Hong. Compactness of the space of free boundary CMC surfaces with bounded topology, arXiv:2012.00956, (2020)

[4]H. Hong. Higher dimensional surgery and Steklov eigenvalues, J. Geom. Anal., (2021).

[5]N. S. Aiex and H. Hong. Index estimates for surfaces with constant mean curvature in 3-dimensional manifolds, Calc. Var. Partial Di erential Equations, 60 (3) (2021) 1-20.

[6]H. Hong and D. Ye. Sharp geometric inequalities for the general p-ane capacity. J. Geom.Anal., 28 (2018) 2254-2287.

[7]H. Hong, D. Ye and N. Zhang. The p-capacitary Orlicz{Hadamard variational formula and Or-licz{Minkowski problems. Calc. Var. Partial Di erential Equations, 57 (5) (2018) 1-31.

[8]B. Zhu, H. Hong and D. Ye. The Orlicz-Petty Bodies. Int. Math. Res. Not. IMRN, 2018 (14)

(2017) 4356-4403.