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Brief Bio:
As of September 2022, I am a Professor of Department of Mathematics at Tamkang University. Previously, I was Assistant Professor, Associate Professor, and Professor at Sogang University. I got my PhD from Purdue University in 2010 under the supervision of Sai-Kee Yeung.
My primary research interest is differential geometry, geometric analysis, and partial differential equations.
Click here for my CV.
ORCID: 0000-0002-0490-3202
Google scholar: Pak Tung Ho
Contact Information:
Office: S430
Postal address: Department of Mathematics, Tamkang University, Tamsui, New Taipei City 251301, Taiwan
Selected Publications:
A flow approach to the problems of prescribing geodesic curvature and T-curvature. Comm. Anal. Geom. (2025), accepted. Link
(Joint with Juncheol Pyo and Keomkyo Seo) Free boundary minimal annuli in S^2_+\times S^1 Proc. Edinb. Math. Soc. (2), (2025), accepted. ArXiv link
Equivariant CR Yamabe problem. Ann. Mat. Pura Appl. (4) 204 (2025), no. 1, 289–306. Link
(Joint with Jeffrey S. Case) Deformations of the scalar curvature of a partially integrable pseudohermitian manifold. J. Geom. Anal. 34 (2024), no. 12, Paper No. 354. Link
A rigidity result for the product of spheres. Canad. Math. Bull. 67 (2024), no. 3, 574-581. Link
(Joint with Julius Baldauf and Tang-Kai Lee) Parabolic frequency for the mean curvature flow. Int. Math. Res. Not. IMRN (2024), no. 10, 8122-8136. Link
(Joint with Jinwoo Shin) Slowly converging Yamabe-type flow on manifolds with boundary. Commun. Contemp. Math. 26 (2024), no. 3, Paper No. 2250072. Link
(Joint with Yen-Chang Huang) The differential geometry of curves in B1×R. J. Geom. Anal. 34 (2024), no. 2, Paper No. 43. Link
(Joint with Jinwoo Shin) Yamabe solitons with boundary. Ann. Mat. Pura Appl. (4) 202 (2023), no. 5, 2219–2253. Link
(Joint with Juncheol Pyo) Sobolev inequality and isoperimetric inequality for submanifolds in a smooth metric measure space. Internat. J. Math. 34 (2023), no. 5, Paper No. 2350027, 21 pp. Link
Ancient caloric functions on pseudohermitian manifolds. J. Geom. Anal. 33 (2023), Paper No. 41. Link
(Joint with Jinwoo Shin) Equivariant Yamabe problem with boundary. Calc. Var. Partial Differential Equations 61 (2022), no. 1, Paper No. 38. Link
Uniqueness results on CR manifolds. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 22 (2021), no. 2, 853-870. Link
(Joint with Jih-Hsin Cheng and Hung-Lin Chiu) Connected sum of CR manifolds with positive CR Yamabe constant. J. Geom. Anal. 31 (2021), 298-311. Link
Results related to Chern-Yamabe flow. J. Geom. Anal. 31 (2021), 187-220. Link
(Joint with Junyeop Lee and Jinwoo Shin) The second generalized Yamabe invariant and conformal mean curvature flow on manifolds with boundary. J. Differential Equations 274 (2021), 251–305. Link
Prescribing Q-curvature on Sn in the presence of symmetry. Comm. Pure Appl. Anal. 19 (2020), 715-722. Link
(Joint with Hung-Lin Chiu) Global differential geometry of curves in three dimensional Heisenberg group and CR sphere. J. Geom. Anal. 29 (2019), 3438–3469. Link
(Joint with Weimin Sheng and Kunbo Wang) Convergence of the CR Yamabe flow. Math. Ann. 373 (2019), 743-830. Link
Prescribing the Q'-curvature in three dimension. Discrete Contin. Dyn. Syst. 39 (2019), 2285-2294. Link
Conformal CR positive mass theorem. J. Geom. Anal. 28 (2018), 3477-3490. Link
(Joint with Xuezhang Chen) Conformal curvature flows on compact manifold of negative Yamabe constant. Indiana U. Math. J. 67 (2018), 537-581. Link
(Joint with Leyang Bo and Weimin Sheng) The k-Yamabe solitons and the quotient Yamabe solitons. Nonlinear Anal. 166 (2018), 181-195. Link
Soliton to the fractional Yamabe flow. Nonlinear Anal. 139 (2016), 211-217. Link
The Webster scalar curvature flow on CR sphere. Part II. Adv. Math. 268 (2015), 836-905. Link
The Webster scalar curvature flow on CR sphere. Part I. Adv. Math. 268 (2015), 758-835. Link
The long time existence and convergence of the CR Yamabe flow. Commun. Contemp. Math. 14 (2012), pp50. Link
Prescribed curvature flow on surfaces. Indiana U. Math. J. 60 (2011), 1517-1542. Link
Q-curvature flow on Sn. Comm. Anal. Geom. 18 (2010), 791-820. Link
The structure of φ-stable minimal hypersurfaces in manifolds of nonnegative P-scalar curvature. Math. Ann. 348 (2010), 319-332. Link
Click here for the full publication list.
Recent activities:
The 2nd Shot of The 13th MSJ-SI "Differential Geometry and Integrable Systems", The 5th International Workshop Geometry of Submanifolds and Integrable Systems, 26th of November-1st of December, 2022, @Takamatsu, Japan
The 24th Taiwan Geometry Symposium, 13th of May, 2023, @National Tsing Hua University, Taiwan
International Conference on Differential Geometry and its Applications in honor of Jaigyoung Choe's 70th birthday, 26th-30th of June, 2023, @Jeju Island, Korea
Workshop on Complex Geometry, 24th-27th of October, 2022, @Institute of Mathematical Research, HKU, Hong Kong
The Fourth Japan-Taiwan Joint Conference on Differential Geometry, 6th-9th of November, 2023, @National Center for Theoretical Sciences, Taiwan
NCTS 2023 Conference on Differential Geometry and Geometric Analysis, 16th-18th of December, 2023, @National Tsing Hua University, Taiwan
2023 Annual Meeting of Taiwanese Mathematical Society, 22nd-23rd of January, 2024, @National Chengchi University, Taiwan
Geometry workshop at Tamkang University, 13th of April, 2024, @Tamkang University, Taiwan
Several Complex Variables and Complex Geometry Conference dedicated to the mathematical work of Yum Tong Siu, 6th-10th of January, 2025, @Academia Sinica, Taiwan
Workshop on Geometric Analysis: conformal and CR geometry and their geometric flows, 21st-25th of July, 2025, @Tsinghua Sanya International Mathematics Forum, Sanya, China.
Shenzhen International Workshop on Several Complex Variables and CR Geometry II, 22nd-26th of September, 2025, @Southern University of Science and Technology, Shenzhen, China.
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