Research Areas
Geometric analysis and spectral theory.
Convex geometry and geometric inequalities.
Education
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
Publications
[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.
