Sponsored by
 
Differential Geometry and Geometric Analysis

Program Committee:

Chung-Jun Tsai (NTU, committee chair), Hung-Lin Chiu(NTHU), Nan-Kuo Ho (NTHU), Chih-Wei Chen (NSYSU)

 

Description of program:

As one of the traditional mainstream directions in modern mathematics, differential geometry connects with many aspects of mathematics and theoretical physics. The wide array of techniques used in differential geometry includes areas such as ordinary and partial differential equations, complex and harmonic analysis, operator theory, differential and algebraic topology, algebraic geometry, Lie theory, ergodic theory, non-linear analysis and dynamical systems, etc. The Differential Geometry and Geometric Analysis group at the NCTS has broad interests that include areas like general relativity, geometric evolution equations, symplectic geometry and topology, discrete differential geometry and manifold learning theory.

 

Affiliated members:

General relativity, minimal submanifolds:
Yng-Ing Lee (NTU), Mao-Pei Tsui (NTU), Chung-Jun Tsai (NTU), Ye-Kai Wang (NYCU), Kuo-Wei Lee (NCUE)

 

Geometric flows:
Yng-Ing Lee (NTU), Mao-Pei Tsui (NTU), Chung-Jun Tsai (NTU), Siao-Hao Guo (NTU), Chun-Chi Lin (NTNU), Dong-Ho Tsai (NTHU),
Hsiao-Fan Liu (TKU), Jui-En Chang (CCU), Chih-Wei Chen (NSYSU
)

 

Geometric measure theory, geometric variational problems:
Ulrich Menne (NTNU), Chun-Chi Lin (NTNU)

 

Cauchy-Riemann geometry, spectral geometry:
Shu-Cheng Chang (NTU), Jih-Hsin Cheng (AS), Chin-Yu Hsiao (AS), Hung-Lin Chiu (NTHU), Rung-Tzung Huang (NCU),
Sin-hua Lai (NCUT), Yen-Chang Huang (NUTN) , Chin-Tung Wu (NPTU), Ting-Jung Kuo (NTNU)

 

Gauge theory, moduli space problems, mathematical physics, knot theory:
Chung-Jun Tsai (NTU), Nan-Kuo Ho (NTHU), Siye Wu (NTHU), Chih-Chung Liu (NCKU), Ryosuke Takahashi (NCKU),
Eugene Zhu Xia (NCKU), Yi-Sheng Wang (NSYSU)

 

Symplectic and contact geometry:
Chung-Jun Tsai (NTU), Nan-Kuo Ho (NTHU), Hsuan-Yi Liao (NTHU), Siye Wu (NTHU), River Chiang (NCKU), Chung-I Ho (NKNU) 

 

Geometric PDEs (metric structures):
Shu-Cheng Chang (NTU), Ting-Jung Kuo (NTNU), Chiung-Jue Anna Sung (NTHU), Chin-Tung Wu (NPTU)

 

Discrete differential geometry and manifold learning:
Mao-Pei Tsui (NTU),  Mei-Heng Yueh (NTNU), Chih-Wei Chen (NSYSU) 

 

Postdoctoral fellows:
Sheng-Fu Chiu (NTHU), Simon-Raphaël Fischer (NCTS), Brian Harvie (NCTS), Wei-Bo Su (NCTS), Kuang-Ru Wu (NTHU),
Ser-Wei Fu (NTU), Sean McCurdy (NTNU), Nicolau Sarquis Aiex (NTNU), Yang-Kai Lue (NYCU)

 

Graduate students:
吳逸安 (PHD, NTU), 高尉庭 (PHD, NTU), 陳世勇(PHD, NTNU), 周鑫壯 (PHD, NTNU), 崔庭瑋 (PHD, NTNU),
郭婷婷(RA, NCTS), 楊盛皓(RA, NCTS)

 

 
Events
Seminars and Talks
2024/09/19
Explore Geometry of Genome Space Via Grassmann Manifolds Abstract  We propose a novel method to represent genome data in a Grassmann manifold, en...
Seminars and Talks
2024/09/18
Constructing diffeomorphisms and homeomorphisms with prescribed derivative Abstract In the talk I will prove that for any measurable mapping into the space of mat...
Conference and Workshop
2024/09/09
2024 NCTS Postdoc Symposium Aim & Scope The NCTS is a leading mathematical research center aiming to promote cutting-...
Lectures and Courses
2024/09/05
Taiwan Mathematics School: From Differential Geometry to tt* Geometry-(1) 1. Introduction and Contents  (I) MOTIVATION - the idea of homology and cohomology ...
 
 
Visitors
Kuan-Hui Lee
University of California, Irvine
kuanhuil[AT]uci.edu
July 29 - September 10, 2024
 
Kaoru Ono
RIMS, Kyoto University
ono[AT]kurims.kyoto-u.ac.jp
October 13 - 26, 2024
 

 

 
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