Publications

4. with Rivu Bardhan, Indranil Biswas, Shoichi Fujimori,: Higher genus Angel surfaces,  https://arxiv.org/abs/2509.03925

3.  wih David Alphaya, Indranil Biswas,: Remarks on Higgs bundles twisted by a vector bundle,   https://arxiv.org/abs/2506.06573

2. with Rivu Bardhan, Indranil Biswas, Subham Paul: On the Complete maximal maps and their singularities.  

1.  with David Alphaya, I. Biswas, and Anoop Singh:  Parabolic Vector bundles and Lie Algebroid connections.   https://arxiv.org/abs/2406.15828

15.  Hao Chen,  Anu Dhochak, and Sai Mohanty:  Node- opening construction of maxfaces:  https://arxiv.org/pdf/2402.11965.pdf   accepted for publication in  Kyoto Journal of Mathematics.  (2025)

14. David Alphaya, I. Biswas, Pradip Kumar, and Anoop Singh:  A criterion for holomorphic  Lie algebroid connections.   Accepted-  Journal of Algebra. (2025) https://arxiv.org/abs/2506.10514    https://doi.org/10.1016/j.jalgebra.2025.05.020 

13. Indranil Biswas, Pradip Kumar, and Anoop Singh: A Criterion for Lie Algebroid Connections  On a  Compact  Riemann Surface.  Published (online ready)  in Geometriae Dedicata  https://arxiv.org/pdf/2405.01432  https://link.springer.com/article/10.1007/s10711-024-00938-8 (2024)

12. Rivu Bardhan, Indranil Biswas, Pradip Kumar:  Higher genus maxfaces with Enneper end, The Journal of Geometric Analysis, 34, 207 (2024) https://arxiv.org/abs/2310.00235

11. Pradip Kumar; Sai Rasmi Ranjan Mohanty. Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends. Comptes Rendus. Mathématique, (2023) https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.525/

10. Bardhan, R., Dhochak, A. & Kumar, P. Cuspidal crosscaps and folded singularities on a maxface and a minface. Indian J Pure Appl Math (2023). https://doi.org/10.1007/s13226-023-00414-1  

9.  Pradip Kumar and Sai Rasmi Ranjan Mohanty,  Approximating singularities by a cuspidal edge on a maxface , arXiv:2103.10358, Archiv der Mathematik, https://link.springer.com/article/10.1007/s00013-022-01747-9   (2022)

8- Anu Dhochak and Pradip Kumar,  Swallowtails and cone-like singularities on a maxface ,  arXiv:2103.10353,  Proc. of Mathematical Sciences, Indian Academy of Sciences.  (2021)  https://link.springer.com/article/10.1007/s12044-022-00674-7 

7. Pradip Kumar, Samir Hazra, and Vidisha Kairam, Singularities of generalized maximal immersions. The Mathematics Student ISSN: 0025-5742  Vol. 89, Nos. 3-4, July-December (2020), 145–164    https://www.indianmathsociety.org.in/mathstudent-part-2-2020.pdf 

6. Dey R., Kumar Pradip, and Singh R.K.,  Existence of maximal surface containing given curve and special singularity, J. Ramanujan Math. Soc. 33 (2018), 455-471.   PDF

5- Pradip Kumar,  Neha Gupta, A remark on extension of a monoidal structure., ANNALES UNIV. SCI. BUDAPEST., 60 (2017), 111  PDF

4- Priyanka Grover, Pradip Kumar, Perturbation bounds for Mostow's decomposition and the bipolar decomposition., Linear Algebra Appl. 529 (2017), 12–29  PDF

3- Pradip Kumar, Darboux chart on projective limit of weak symplectic Banach manifold., Int. J. Geom. Methods Mod. Phys. 12 (2015), no. 7, 1550072, 13p PDF

2-  Pradip Kumar, Almost complex structure on path space., Int. J. Geom. Methods Mod. Phys. 10 (2013), no. 3, 1220034, 7 pp.  PDF

1- Rukmini Dey, Pradip Kumar, One-parameter family of solitons from minimal surfaces., Proc. Indian Acad. Sci. Math. Sci. 123 (2013), no. 1, 55–65  PDF