Hello! I hope this website finds you well!
My name is Rupadarshi Ray. I am from Balurghat, a town in the northern part of Bengal, India 🇮🇳. I speak Bengali, English and Hindi. This website is an academic curation and journaling; where I document my experience and experiments with mathematics and the theoretical sciences.
My CV is at rupadarshiray.github.io/CV/RayCV.pdf.
I graduated from IISER Mohali with a Masters in Mathematics in June ‘26 after completing my MS thesis in April. The following is the poster on its background.
I am interested in mathematics research, specifically in the following topics.
(My) math interests
My primary interests lie in the topics related to the analysis of manifolds and functions on it: be it through geometric, topological, dynamical or analytical perspectives/techniques.
- I have invested a lot of time on Riemann surfaces, hyperbolic manifolds and discrete subgroups of during my MS thesis.
- Rigidity of discrete groups: Mostow-Prasad’s rigidity theorem, Tukia’s proof of quasiconformal rigidity, Sullivan’s proof of measurable rigidity using Patterson-Sullivan measures
- Deformations of discrete groups: quasiconformal deformations, space of discrete faithful representations of finitely generated groups
- Constructing such discrete subgroups for higher which various (geometric/topological/algebraic) properties
My broad interests also include geometric topology and topology/geometry of 2 and 3-manifolds, Riemannian geometry, symplectic geometry and Hamiltonian flows, complex analysis, abstract harmonic analysis, geometric and analytic theory of finitely generated and locally compact groups, representation theory of Lie groups and Lie algebras, etc.
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The recent or current events I am a part of are as follows.
More of my academic content are here. This website also includes the following.
My socials include the following.