Publications, preprints

• Visibility property in one and several variables and its applications

  V. S. Chandel, S. Gorai, A. Maitra, A. D. Sarkar
  Submitted. arXiv link

• Runge pairs and approximations on certain domains in complex manifolds

  S. Chatterjee, S Gorai
  Submitted.

• Uniform algebras and distinguished varieties

  S Gorai, GM Mondal
  Submitted. arXiv link

• Polynomial convexity of the closure of bounded pseudoconvex domains ]{Polynomial convexity of the closure of bounded pseudoconvex domains and its applications in dense holomorphic curves

  S Chatterjee, S Gorai
  Submitted.

• Polynomial convexity of compacts that lies in certain Levi-flat hypersurfaces in C^2

  S Gorai, GM Mondal
  Submitted. arXiv link

• Approximations on certain domains of C^n

  S Chatterjee, S Gorai
  Submitted. arXiv link

• Uniform approximation on certain polynomial polyhedra in $\mathbb{C}^2$

  S Gorai, GM Mondal
  to appear in Transactions of the AMS arXiv link

• Certain real surfaces in C^2 with isolated singularities

  S Gorai
  to appear in Annales de l'Institut Fourier (Grenoble) arXiv link

• The squeezing function: exact computations, optimal estimates, and a new application

  G Bharali, D Borah, S Gorai
  Journal of Geometric Analysis 33 (2023), no. 12, Paper No. 383, 25 pp. arXiv link

• On quotient modules of H^2 (𝔻^n): essential normality and boundary representations

  BK Das, S Gorai, J Sarkar
  Proceedings of the Royal Society of Edinburgh Section A: Mathematics 150 (2020) no.3, 1339-1359. pdf file

• Some observations concerning polynomial convexity

  S Gorai
  Mathematical Analysis and Applications in Modeling, Kolkata 151–161, Springer Proc. Math. Stat., 302, Springer, Singapore, [2020], arXiv link

• Contractively embedded invariant subspaces

  S Gorai, J Sarkar
  Interpolation and Realization Theory with Applications to Control Theory 117–131, Oper. Theory Adv. Appl., 272, Birkhäuser/Springer, Cham, 2019. arXiv link

• On polynomial convexity of compact subsets of totally-real submanifolds in C^n

  S Gorai
  Journal of Mathematical Analysis and Applications 448 (2), 1305-1317 pdf file

• Characterizations of symmetrized polydisc

  S Gorai, J Sarkar
  Indian Journal of Pure and Applied Mathematics 47, 391-397 arXiv link

• Function theory and holomorphic maps on symmetric products of planar domains

  D Chakrabarti, S Gorai
  The Journal of Geometric Analysis 25 (4), 2196-2225 arXiv link

• A note on polynomial convexity of the union of finitely many totally-real planes in C2

  S Gorai
  Journal of Mathematical Analysis and Applications 418 (2), 842-851 pdf file

• On the Polynomial Convexity of the Union of Three Totally Real Planes in ℂ^2

  S Gorai
  International Mathematics Research Notices 2013 (21), 4985-5001 pdf file

• Uniform algebras generated by holomorphic and close-to-harmonic functions

  G Bharali, S Gorai
  Proceedings of the American Mathematical Society 139 (6), 2183-2189 arXiv link

• Local polynomial convexity of the union of two totally-real surfaces at their intersection

  S Gorai
  manuscripta mathematica 135 (1-2), 43-62 arXiv link