Praveen Kumar Roy
Areas of Interest & Expertise
- Seshadri constants and positivity
- Moduli spaces of vector bundles over reducible curves
- Topology of complement of curve arrangements on surfaces
Biography
Praveen earned his Bachelor’s and Master’s degrees in Mathematics from the University of Delhi and his PhD in Mathematics from the Chennai Mathematical Institute, Chennai, India.
Prior to joining Azim Premji University, he served as an Assistant Professor at NMIMS MPSTME, Mumbai. He has also held postdoctoral positions at the Tata Institute of Fundamental Research, Mumbai, the Sami Shamoon College of Engineering, Israel, and the UM‑DAE Centre for Excellence in Basic Sciences, Mumbai.
His research interests lie in algebraic geometry, particularly problems related to Seshadri constants and positivity, moduli spaces and the topology of complements of curve arrangements on surfaces. Apart from research, he is passionate about teaching and making mathematics more accessible.
In his free time, he enjoys playing sports.
Publications
Journal articles
- Roy, P. K. (2026). Positivity on blow-ups of hyperelliptic surfaces, accepted for publication in Proceedings-Mathematical Sciences
- B.N. Suhas, Roy, P. K., & Singh, A. K., (2025). Exploring the Interplay of Semistable Vector Bundles and Their Restrictions on Reducible Curves, Advances in Geometry, 25 (2), 279 – 288. https://doi.org/10.1515/advgeom-2025 – 0009
- Amram, M., Gong, C., Roy, P. K., Sinichkin, U., & Vishne, U., (2024). The fundamental group of Galois curves of surfaces with octahedral envelop, Homology Homotopy and Applications, 28(1), 23 – 44. 10.4310/HHA.2026.v28.n1.a2
- Hanumanthu, K., Roy, & P. K., Subramaniam, A., (2024). Seshadri constants of Curve Configurations on Surfaces, Taiwanese Journal of Mathematics, 28(6), 1053 – 1071. https://doi.org/10.11650/tjm/240703
- Karmakar, R., & Roy, P. K., (2023). Seshadri Constants on Blow-ups of Projective Spaces, International Journal of Mathematics, 35(1), 2350097 – 2350114. https://doi.org/10.1142/S0129167X23500970
- B.N. Suhas, Roy, P. K., & Singh, A. K., (2022). On the Rationality of Moduli Spaces of Vector Bundles Over Chain-like Curves, Journal of Geometry and Physics, 179, 104590 – 104611. https://doi.org/10.1016/j.geomphys.2022.104590
- Roy, P. K., (2020). Some Results on Seshadri Constants on Surfaces of General type, European Journal of Mathematics, 6(4), 1176 – 1190. https://doi.org/10.1007/s40879-020 – 00400‑5
- Hanumanthu, K., & Roy, P. K., (2018). Seshadri Constant on Hyperelliptic Surfaces, Proceedings of The American Mathematical Society, 146(10), 4175 – 4187. https://doi.org/10.1090/proc/14114