Professor Pak Tung Ho

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. 

Contact Information:

Office: S430

Postal address: Department of Mathematics, Tamkang University, Tamsui, New Taipei City 251301, Taiwan

Email: paktungho"at"yahoo"dot"com"dot"hk

Selected Publications: 

1. A rigidity result for the product of spheres. Canad. Math. Bull. (2023), accepted.  Link  

2. (Joint with Julius Baldauf and Tang-Kai Lee) Parabolic frequency for the mean curvature flow. Int. Math. Res. Not. IMRN (2023), accepted.  Link 

3. (Joint with Jinwoo Shin) Slowly converging Yamabe-type flow on manifolds with boundary. Commun. Contemp. Math. 26 (2024), no. 3, Paper No. 2250072.  Link 

4. (Joint with Yen-Chang Huang) The differential geometry of curves in B1×R. J. Geom. Anal. 34 (2024), no. 2, Paper No. 43.  Link 

5. (Joint with Jinwoo Shin) Yamabe solitons with boundary. Ann. Mat. Pura Appl. (4) 202 (2023), no. 5, 2219–2253.  Link 

6. (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 

7. Ancient caloric functions on pseudohermitian manifolds. J. Geom. Anal. 33 (2023), Paper No. 41.  Link 

8. (Joint with Jinwoo Shin) Equivariant Yamabe problem with boundary. Calc. Var. Partial Differential Equations 61 (2022), no. 1, Paper No. 38.  Link 

9. Uniqueness results on CR manifolds. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 22 (2021), no. 2, 853-870.  Link 

10. (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 

11. Results related to Chern-Yamabe flow. J. Geom. Anal. 31 (2021), 187-220.  Link 

12. (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 

13. Prescribing Q-curvature on Sn in the presence of symmetry. Comm. Pure Appl. Anal. 19 (2020), 715-722.  Link 

14. (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 

15. (Joint with Weimin Sheng and Kunbo Wang) Convergence of the CR Yamabe flow. Math. Ann. 373 (2019), 743-830.  Link 

16. Prescribing the Q'-curvature in three dimension. Discrete Contin. Dyn. Syst. 39 (2019), 2285-2294.  Link 

17. Conformal CR positive mass theorem. J. Geom. Anal. 28 (2018), 3477-3490.  Link 

18. (Joint with Xuezhang Chen) Conformal curvature flows on compact manifold of negative Yamabe constant. Indiana U. Math. J. 67 (2018), 537-581.  Link 

19. (Joint with Leyang Bo and Weimin Sheng) The k-Yamabe solitons and the quotient Yamabe solitons. Nonlinear Anal. 166 (2018), 181-195.  Link 

20. Soliton to the fractional Yamabe flow. Nonlinear Anal. 139 (2016), 211-217.  Link 

21. The Webster scalar curvature flow on CR sphere. Part II. Adv. Math. 268 (2015), 836-905.  Link 

22. The Webster scalar curvature flow on CR sphere. Part I. Adv. Math. 268 (2015), 758-835.  Link 

23. The long time existence and convergence of the CR Yamabe flow. Commun. Contemp. Math. 14 (2012), pp50.  Link 

24. Prescribed curvature flow on surfaces. Indiana U. Math. J. 60 (2011), 1517-1542.  Link 

25. Q-curvature flow on Sn. Comm. Anal. Geom. 18 (2010), 791-820.  Link 

26. 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