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### Recent Re/Preprints:

- The Cauchy-Riemann equations on product domains. Debraj Chakrabarti and Mei-Chi Shaw, (Math. Ann. 2011)
- L^2 Serre Duality on Domains in Complex Manifolds and Applications” by Debraj Chakrabarti and Mei-Chi Shaw (Trans. Amer. Math. Society, 2012).
- “Duality between Harmonic and Bergman spaces” (Contemporary Mathematics, 2011).
- “On the Hausdorff property of some Dolbeault cohomolgy groups” by Christine Laurent-Thi\’ebaut and Mei-Chi Shaw (Math. Zeit, 2013)
- Sobolev Regularity of the $\overline\partial$-equation on the Hartogs triangle. (Debraj Chakrabarti and Mei-Chi Shaw, (Math. Ann. 2013)
- The $\overline\partial$-equation on an annulus with mixed boundary conditions Xiaoshan Li and Mei-Chi Shaw, (Bulletin Academia Sinica, 2013)
- Topology of Dolbeault cohomology groups, Dedicated to Duong H. Phong (Contemporary Math. 2015)
- The Hartogs Traingle in Complex Analysis (Contemporary Mathematics, 2015)
- “The $L^2$-cohomology of a bounded smooth Stein Domain is not necessarily Hausdorff” by Debraj Chakrabarti and Mei-Chi Shaw (Math Ann., 2015)
- Non-closed range property for the Cauchy-Riemann operator (by Christine Laurent-Thi\'{e}baut and Mei-Chi Shaw) (Proceedings of the Conference in memory of M. S. Baouendi, 2015)
- “The Diederich-Forness exponent and non-existence of Stein domains with Levi-flat boundaries” (by Siqi Fu and Mei-Chi Shaw, 2016) (J. Geometric Analysis, 2016)
- Hearing pseudoconvexity in Lipschitz domains with holes with $\bar\partial$, Siqi Fu, Christine Laurent-Thi\'{e}baut and Mei-Chi Shaw, (Math. Zeit, 2017)
- “On the $L^2$-Dolbeault Cohomology of Annuli” (by Debraj Chakrabarti, Christine Laurent-Thiébaut, and Mei-Chi Shaw) (Indiana University Math J., 2018)
- Bounded plurisubharmonic exhaustion functions and Levi-flat hypersurfaces Siqi Fu and Mei-Chi Shaw, Dedicated to the memory of Lu Qikeng (Acta Math. Sinica, 2018)
- Solving $\bar\partial$ with prescribed support on Hartogs triangles in $C^2$ and $CP^2$, Christine Laurent-Thi\'{e}baut and Mei-Chi Shaw, (Trans. Amer. Math. Soc., 2019)
- Holomorphic approximation via Dolbeault cohomology (by Christine Laurent-Thiebaut and Mei-Chi Shaw), Math. Zeit 2020.
- Holomorphic approximation and mixed boundary value problems for $\overline\partial$ (by Christine Laurent-Thi\’ebaut and Mei-chi Shaw, to appear in Proc. Amer. Math. Soc.)

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