My main research interests are as follows.
Geometric analysis:
Quasiconformal & quasisymmetric mappings, Hyperbolic and Quasihyperbolic geometry.
Several Complex Variables:
Visibility and Gromov hyperbolicity of Kobayashi metric and Squeezing function problem.
Metric Geometry:
Gromov hyperbolicity and CAT(0).
Other analysis and geometry:
Classical complex function theory, Quasiconformal Teichmüller theory.
The Zalcman conjecture for certain analytic and univalent functions (with V. Allu), J. Math. Anal. Appl. 492(2)(2020).
Support points of some classes of analytic and univalent functions (with V. Allu), C. R. Math. Acad. Sci. Paris. 359 (4) (2021), 465-473.
On the generalized Zalcman conjecture (with V. Allu), Ann. Mat. Pura Appl (2024) https://doi.org/10.1007/s10231-024-01461-z.
Neargeodesics in Gromov hyperbolic John domains in Banach spaces (with V. Allu), Ann. Fenn. Math. 49 (2024), 473-485.
Vasudevarao Allu and Abhishek Pandey, Proof of the generalized Zalcman conjecture for initial coefficients of univalent functions, arxiv.org/abs/2209.11231 , Submitted.
Vasudevarao Allu and Abhishek Pandey, Visible quasihyperbolic geodesics, 10.48550/arXiv.2306.03815, Submitted.
Vasudevarao Allu and Abhishek Pandey, A note on the equivalence of Gromov boundary and Metric boundary, arXiv:2405.10273, Submitted.