Praful Rahangdale
đź“Ť Paderborn, Germany
📧 praful@math.upb.de
đź“„ Curriculum Vitae
Education
PhD in Mathematics
Universität Paderborn
Oct 2023 – Present
Integrated BS-MS
IISER Kolkata
2018 – 2023
Research Interests
I am primarily interested in Poisson structures on infinite-dimensional manifolds and Lie groups, alongside the linearizations of these structures, such as Lie bialgebras and Manin triples. My PhD project, supervised by Prof. Dr. Helge Glöckner, focuses on the Drinfeld correspondence between Poisson-Lie groups and Lie bialgebras in infinite-dimensional settings. I am an investigator of CRC- TRR 358 Project A5: Affine Kac-Moody groups: analysis, algebra, and arithmetic.
My research goals include:
- Developing the foundational theory of symplectic foliations for infinite-dimensional Poisson manifolds using convenient differential calculus or Keller's $C_{c}^{\infty}$-calculus, potentially by establishing new versions of the Frobenius and Stefan-Sussmann theorem.
- Investigating the existence of Riemann-Hilbert factorisations for Lie subgroups corresponding to specific Manin triples.
- Developing analogs of the Adler-Kostant-Symes scheme adapted for infinite-dimensional Lie groups.