Indranil Biswas
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Research Interests
Indranil Biswas has a total of 287 co-authors. Here are the top co-authors by number of shared publications:
- Sorin Dumitrescu
Université Côte d’Azur, CNRS, LJAD, Nice, France
57 shared publications - Jacques Hurtubise
Department of Mathematics, McGill University, Burnside Hall, 805 Sherbrooke St. W., Montreal, Que. H3A 2K6, Canada
37 shared publications - A. J. Parameswaran
School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India
20 shared publications - Sebastian Heller
Beijing Institute of Mathematical Sciences and Applications, Beijing, China
18 shared publications - Manish Kumar
Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore, India
16 shared publications - Tomas L. Gomez
Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), Madrid, Spain
15 shared publications
Latest Publications
- 27 October 2026
- Published by Springer Nature in Proceedings - Mathematical Sciences
- Vol. 136 (2) , 42
Semisimple algebras of vector fields on $\pmb {\mathbb {C}^{3}}$- 27 October 2026
- Published by Springer Nature in Proceedings - Mathematical Sciences
- Vol. 136 (2) , 42
Semisimple algebras of vector fields on $\pmb {\mathbb {C}^{3}}$- 17 September 2026
- Published by Springer Nature in Mediterranean Journal of Mathematics
- Vol. 23 (7) , 202
Parabolic Lie Algebroid Connections on Parabolic Principal Bundles Over Curves
- 17 September 2026
- Published by Springer Nature in Mediterranean Journal of Mathematics
- Vol. 23 (7) , 202
Parabolic Lie Algebroid Connections on Parabolic Principal Bundles Over Curves
- 11 September 2026
- Published by Springer Nature in European Journal of Mathematics
- Vol. 12 (3) , 55
On positive cones of finite quotients of a normal variety
- 11 September 2026
- Published by Springer Nature in European Journal of Mathematics
- Vol. 12 (3) , 55
On positive cones of finite quotients of a normal variety
- 1 September 2026
- Published by Springer Nature in Mathematische Zeitschrift
- Vol. 314 (1) , 13
Infinitesimal deformations of parabolic connections and parabolic opers
- 1 September 2026
- Published by Springer Nature in Mathematische Zeitschrift
- Vol. 314 (1) , 13
Infinitesimal deformations of parabolic connections and parabolic opers
- 20 August 2026
- Published by World Scientific Pub Co Pte Ltd in International Journal of Mathematics
- Vol. 37 (13)
On Lie’s classification of nonsolvable subalgebras of vector fields on the plane
A brief proof of Lie’s classification of finite-dimensional subalgebras of vector fields over the complex plane that have a proper Levi decomposition is given. The proof uses representation theory of [Formula: see text]. This, combined with [H. Azad, I. Biswas and F. M. Mahomed, Semisimple algebras of vector fields on [Formula: see text] of maximal rank, J. Lie Theory 35 (2025) 101–108; H. Azad, I. Biswas, F. M. Mahomed and S. W. Shah, On Lie’s classification of subalgebras of vector fields on the plane, Proc. Indian Acad. Sci. Math. Sci. 132(2) (2022) 66] completes the classification of finite dimensional subalgebras of vector fields over the complex plane.
- 20 August 2026
- Published by World Scientific Pub Co Pte Ltd in International Journal of Mathematics
- Vol. 37 (13)
On Lie’s classification of nonsolvable subalgebras of vector fields on the plane
A brief proof of Lie’s classification of finite-dimensional subalgebras of vector fields over the complex plane that have a proper Levi decomposition is given. The proof uses representation theory of [Formula: see text]. This, combined with [H. Azad, I. Biswas and F. M. Mahomed, Semisimple algebras of vector fields on [Formula: see text] of maximal rank, J. Lie Theory 35 (2025) 101–108; H. Azad, I. Biswas, F. M. Mahomed and S. W. Shah, On Lie’s classification of subalgebras of vector fields on the plane, Proc. Indian Acad. Sci. Math. Sci. 132(2) (2022) 66] completes the classification of finite dimensional subalgebras of vector fields over the complex plane.
- 3 June 2026
- Published by Springer Nature
- p. 21-55
Some Recent Results on the Punctual Quot Schemes
- 1 May 2026
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 67 (5)
Symplectic structure on the character varieties of Sasakian threefolds
Take a compact Sasakian threefold M and consider the associated irreducible SL(r,C)–character variety R≔Hom(π1(M,x0),SL(r,C))ir/SL(r,C) of M, where Hom(π1(M,x0),SL(r,C))ir is the space of irreducible homomorphisms. We first construct a natural algebraic two-form on R. Then it is shown that this two-form is closed. Finally we show that the restriction of this two-form to Hom(π1(M,x0),SU(r))ir is symplectic.
- 1 May 2026
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 67 (5)
Symplectic structure on the character varieties of Sasakian threefolds
Take a compact Sasakian threefold M and consider the associated irreducible SL(r,C)–character variety R≔Hom(π1(M,x0),SL(r,C))ir/SL(r,C) of M, where Hom(π1(M,x0),SL(r,C))ir is the space of irreducible homomorphisms. We first construct a natural algebraic two-form on R. Then it is shown that this two-form is closed. Finally we show that the restriction of this two-form to Hom(π1(M,x0),SU(r))ir is symplectic.
- 24 April 2026
- Published by World Scientific Pub Co Pte Ltd in International Journal of Mathematics
- Vol. 37 (09)
Remarks on Higgs bundles twisted by a vector bundle
- 24 April 2026
- Published by World Scientific Pub Co Pte Ltd in International Journal of Mathematics
- Vol. 37 (09)
Remarks on Higgs bundles twisted by a vector bundle
- 8 April 2026
- Published by World Scientific Pub Co Pte Ltd in International Journal of Mathematics
- Vol. 37 (08)
Sasakian geometry and Heisenberg groups
We prove that a compact connected Sasakian manifold whose first and second basic Chern classes vanish is locally isomorphic to the real Heisenberg group equipped with the standard left invariant Sasakian structure up to deformation associated to a basic [ ]-form.
- 8 April 2026
- Published by World Scientific Pub Co Pte Ltd in International Journal of Mathematics
- Vol. 37 (08)
Sasakian geometry and Heisenberg groups
We prove that a compact connected Sasakian manifold whose first and second basic Chern classes vanish is locally isomorphic to the real Heisenberg group equipped with the standard left invariant Sasakian structure up to deformation associated to a basic [ ]-form.
- Open Access
Brauer group of moduli stacks of parabolic principal bundles over a curve
We prove that the Brauer group of the moduli stack of parabolic stable principal $\text{PGL}(r,\mathbb{C})$-bundles on a curve $X$, for a generic system of weights along an arbitrary parabolic divisor, coincides with the Brauer group of the smooth locus of the corresponding coarse moduli space of parabolic stable principal $\text{PGL}(r,\mathbb{C})$-bundles. We also show that for any simple and simply connected complex linear algebraic group $G$, the analytic and algebraic Brauer groups of the moduli stack of quasi-parabolic principal $G$-bundles on $X$ vanish.Open AccessBrauer group of moduli stacks of parabolic principal bundles over a curve
We prove that the Brauer group of the moduli stack of parabolic stable principal $\text{PGL}(r,\mathbb{C})$-bundles on a curve $X$, for a generic system of weights along an arbitrary parabolic divisor, coincides with the Brauer group of the smooth locus of the corresponding coarse moduli space of parabolic stable principal $\text{PGL}(r,\mathbb{C})$-bundles. We also show that for any simple and simply connected complex linear algebraic group $G$, the analytic and algebraic Brauer groups of the moduli stack of quasi-parabolic principal $G$-bundles on $X$ vanish.