Welcome to ℝ²

Hello! I hope this website finds you well!

about me

My name is Rupadarshi Ray. I am from Balurghat, a town in the northern part of Bengal, India 🇮🇳. I speak Bengali, English and Hindi.

I am a masters in mathematics and am interested in mathematics research. My CV is at rupadarshiray.github.io/CV/RayCV.pdf.

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about this site

This website is an academic curation and journaling; where I document my experience and experiments with mathematics and the theoretical sciences.

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now

I graduated from IISER Mohali with a Masters in Mathematics in June ‘26 after completing my MS thesis in April.

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The recent or current events are as follows.

Showing 2 of 2 entries

-Watch party: Proving the Hodge Conjecture using group theory

-Fall '26 seminar on abstract harmonic analysis

(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 $\text{Isom}(\mathbb{R}{H}^n)\cong O^{+}(1,n)$ 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 $\mathrm{RepDF}(\Gamma ,O^{+}(1,n))$ of finitely generated groups $\Gamma$
• Constructing such discrete subgroups for higher $n$ which are finitely generated but geometrically infinite.

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The highlight of my past year has been my MS thesis. The following is the poster on its background.

More stuff on this site includes the following.

• inculcation
• things-i-have-said-in-a-math-class