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).

• (with C.-K. Lien) Bernstein theorems for calibrated submanifolds in ℝ⁷ and ℝ⁸
  [PDF] preprint, arXiv:2503.16898


• (with P.-H. Lee) Dynamical stability of minimal Lagrangians in Kähler-Einstein manifolds of non-positive curvature
  [PDF] preprint, arXiv:2406.04602


• (with W.-B. Su and A. Wood) Infinite-time singularities of the Lagrangian mean curvature flow
  [PDF] preprint, arXiv:2401.02228


• (with M.-P. Tsui and M.-T. Wang) Entire solutions of two-convex Lagrangian mean curvature flows
  [PDF] preprint, arXiv:2309.09432


• (with M.-P. Tsui and M.-T. Wang) Mean curvature flows of two-convex Lagrangians
  [PDF] J. Differential Geom. 128 (2024), no. 3, 1269--1284


• (with M.-P. Tsui and M.-T. Wang) A new monotone quantity in mean curvature flow implying sharp homotopic criteria
  [PDF] preprint, arXiv:2301.09222


• (with K.-H. Wang) An isoperimetric-type inequality for spacelike submanifold in the Minkowski space
  [PDF] Int. Math. Res. Not. IMRN (2022), no. 1, 128--139


• (with M.-T. Wang) Global uniqueness of the minimal sphere in the Atiyah--Hitchin manifold
  [PDF] Math. Res. Lett. 29 (2022), no. 3, 871--886


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


• (with M.-T. Wang) Mean curvature flows in manifolds of special holonomy
  [PDF] J. Differential Geom. 108 (2018), no. 3, 531--569


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


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


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


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


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

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