Research

C H U N G - J U N T S A I : R E S E A R C H

Here are my research papers. They are available as PDF files. They may be slightly different from the published versions (if exists).

Infinite-time singularities of the Lagrangian mean curvature flow
W.-B. Su, C.-J. Tsai, and A. Wood
preprint, arXiv:2401.02228. PDF

Entire solutions of two-convex Lagrangian mean curvature flows
C.-J. Tsai, M.-P. Tsui and M.-T. Wang
preprint, arXiv:2309.09432. PDF

Mean curvature flows of two-convex Lagrangians
C.-J. Tsai, M.-P. Tsui and M.-T. Wang
to appear in J. Differential Geom., arXiv:2302.02512. PDF

A new monotone quantity in mean curvature flow implying sharp homotopic criteria
C.-J. Tsai, M.-P. Tsui and M.-T. Wang
preprint, arXiv:2301.09222. PDF

An isoperimetric-type inequality for spacelike submanifold in the Minkowski space
C.-J. Tsai and K.-H. Wang
Int. Math. Res. Not. IMRN (2022), no. 1, 128--139. PDF

Global uniqueness of the minimal sphere in the Atiyah--Hitchin manifold
C.-J. Tsai and M.-T. Wang
Math. Res. Lett. 29 (2022), no. 3, 871--886. PDF

A strong stability condition on minimal submanifolds and its implications
C.-J. Tsai and M.-T. Wang
J. Reine Angew. Math. (Crelle's Journal) 764 (2020), 111--156. PDF

Mean curvature flows in manifolds of special holonomy
C.-J. Tsai and M.-T. Wang
J. Differential Geom. 108 (2018), no. 3, 531--569. PDF

Cohomology and Hodge theory on symplectic manifolds: III
C.-J. Tsai, L.-S. Tseng and S.-T. Yau
J. Differential Geom. 103 (2016), no. 1, 83--143. PDF

Dirac spectral flow on contact three manifolds II: Thurston--Winkelnkemper contact forms
C.-J. Tsai
Adv. Math. 286 (2016), 105--159. PDF

Dirac spectral flow on contact three manifolds I: eigensection estimates and spectral asymmetry
C.-J. Tsai
J. Symplectic Geom. 15 (2017), no. 2, 541--602. PDF

Symplectic cohomologies on phase space
C.-J. Tsai, L.-S. Tseng and S.-T. Yau
J. Math. Phys. 53 (2012), no. 9, 095217, 9 pp. PDF

Asymptotic spectral flow for Dirac operators of disjoint Dehn twists
C.-J. Tsai
Asian J. Math. 18 (2014), no. 4, 633--686. PDF

Last modified: January 5, 2024.

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Infinite-time singularities of the Lagrangian mean curvature flow W.-B. Su, C.-J. Tsai, and A. Wood preprint, arXiv:2401.02228.	PDF
Entire solutions of two-convex Lagrangian mean curvature flows C.-J. Tsai, M.-P. Tsui and M.-T. Wang preprint, arXiv:2309.09432.	PDF
Mean curvature flows of two-convex Lagrangians C.-J. Tsai, M.-P. Tsui and M.-T. Wang to appear in J. Differential Geom., arXiv:2302.02512.	PDF
A new monotone quantity in mean curvature flow implying sharp homotopic criteria C.-J. Tsai, M.-P. Tsui and M.-T. Wang preprint, arXiv:2301.09222.	PDF
An isoperimetric-type inequality for spacelike submanifold in the Minkowski space C.-J. Tsai and K.-H. Wang Int. Math. Res. Not. IMRN (2022), no. 1, 128--139.	PDF
Global uniqueness of the minimal sphere in the Atiyah--Hitchin manifold C.-J. Tsai and M.-T. Wang Math. Res. Lett. 29 (2022), no. 3, 871--886.	PDF
A strong stability condition on minimal submanifolds and its implications C.-J. Tsai and M.-T. Wang J. Reine Angew. Math. (Crelle's Journal) 764 (2020), 111--156.	PDF
Mean curvature flows in manifolds of special holonomy C.-J. Tsai and M.-T. Wang J. Differential Geom. 108 (2018), no. 3, 531--569.	PDF
Cohomology and Hodge theory on symplectic manifolds: III C.-J. Tsai, L.-S. Tseng and S.-T. Yau J. Differential Geom. 103 (2016), no. 1, 83--143.	PDF
Dirac spectral flow on contact three manifolds II: Thurston--Winkelnkemper contact forms C.-J. Tsai Adv. Math. 286 (2016), 105--159.	PDF
Dirac spectral flow on contact three manifolds I: eigensection estimates and spectral asymmetry C.-J. Tsai J. Symplectic Geom. 15 (2017), no. 2, 541--602.	PDF
Symplectic cohomologies on phase space C.-J. Tsai, L.-S. Tseng and S.-T. Yau J. Math. Phys. 53 (2012), no. 9, 095217, 9 pp.	PDF
Asymptotic spectral flow for Dirac operators of disjoint Dehn twists C.-J. Tsai Asian J. Math. 18 (2014), no. 4, 633--686.	PDF