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Chitrabhanu Chaudhuri National Institute of Science Education and Research Bhubaneswar P.O. Jatni, Khurda 752050, Odisha, India Office: M - 227 Email: chitrabhanu [at] niser [dot] ac [dot] in |
I am an Assistant Professor at NISER Bhubaneshwar.
My research revolves around the topology and geometry of the Moduli of Curves. The Moduli of Curves parametrizes algebraic curves or Riemann surfaces up to isomorphisms. It has been a central topic in mathematical research for several decades and brings various fields of mathematics together, for example Algebraic Geometry, Geometric Group theory and Teichmüller theory. It has important connections with physics as well.
Here is my updated Curriculum Vitae.
Publications and Preprints
- Counting rational curves with an m-fold point; with Indranil Biswas, Apratim Choudhury, Ritwik Mukherjee and Anantadulal Paul, AiM. (arxiv)
- Intersection matrices and special fibers of \(X_0(p^r)\) with \(r \in \{3,4\}\); with Debargha Banerjee and Priyanka Majumder, to appear in J. Algebra Appl. (arxiv)
- Elliptic Gromov-Witten Invariants of del Pezzo Surfaces; with Nilkantha Das, J. Gökova Geom. Topol. (arxiv)
- Semi-stable models of modular curves \(X_0(p^2)\) and some arithmetic applications; with Debargha Banerjee, Israel J. Math. (arxiv)
- Arakelov self-intersection numbers of minimal regular models of modular curves \(X_0(p^2)\); with Debargha Banerjee and Diganta Borah, Math. Z.. (arxiv).
- Equivariant cohomology of certain moduli of weighted pointed rational curves; Manuscripta Math. (arxiv)
- The Cohomological Excess of Certain Moduli Spaces of Curves of Genus g; IMRN. (arxiv)
- Topological Bounds on Certain Open Subvarieties of the Compactified Moduli Space of Curves; PhD thesis, Northwestern University 2013.
Here is a C++ program by Nilkantha Das to calculate elliptic Gromov-Witten invariants for del Pezzo surfaces.
Conferences and Workshops Organised
- Workshop on Geometry Analysis and Mathematical Physics at NISER (24 Jul - 2 Aug 2023).
- Inter IISER-NISER Math Meet at NISER (29 Sep - 1 Oct 2023).
- Workshop on Quasiconformal Mappings and Teichmüller Theory at KSOM Kozhikode (19 - 23 Feb 2020).
- Refresher course for College Teachers in Complex Analysis at KSOM Kozhikode (28 Nov - 1 Dec 2019).
- Workshop and Discussion meeting on Perfectoid Spaces at ICTS Bangalore (9-20 September 2019).
Selected talks and some notes
- Afine Stratification Number and Moduli Space of Curves, Midwest Algebraic Geometry Graduate Conference, Nov 4 2012. (Slides)
- Dissertation presentation, Northwestern University, May 1 2013. (Slides)
- Operads and Moduli of Hyperelliptic curves, ISI Bangalore, Aug 1 2013. (Slides)
- Topological bounds on certain moduli of curves, Belur RKM Kolkata, Colloquium talk, Aug 4 2013. (Notes)
- Cohomological excess of certain Moduli Spaces of Stable curves, Utrecht University, Geometry and Algebra Seminar, Jan 28 2014.
- Operads and Moduli of Curves, MPIM Bonn, Oberseminar, Aug 7 2014. (Slides)
- Moduli of certain Weighted Pointed Rational Curves, ICTS Bangalore, Higgs Bundles Conference, Apr 1 2016. (Video)
- Introductionto Moduli of Curves I & II, J-holomorphic Curves and Gromov-Witten Theory, NISER Bhubaneshwar 15,17 July 2017. (Notes)
- Witten Conjectures I & II, J-holomorphic Curves and Gromov Witten Theory, NISER Bhubaneshwar 18,20 July 2017. (Notes)
- Moduli of Curves, J-Holomorphic Curves and Gromov-Witten Invariants, ICTS Bangalore 29 December 2017. (Video)
- Intersection Theory on Moduli Space of Curves and their connection to Integrable Systems,
Integrable systems in Mathematics, Condensed Matter and Statistical Physics, ICTS Bangalore 17 July 2018. (Slides, Video) - Counting curves in the complex projective plane and beyond, Mathematics Symposium, IISER Pune 15 September 2018.
- Introduction to Teichmuller Theory, Series of 4 lectures, IISER Kolkata, 26-30 November 2018.
- Arakelov Geometry of Modular Curves \(X_0(p^2)\), Pune-Mumbai Number Theory Seminar, IISER Pune 15 February 2019. (Slides)
- Arakelov Geometry of Modular Curves \(X_0(p^2)\), Geometry and Topology Seminar, IIT Madras 25 February 2019.
- Arakelov Geometry of Modular Curves \(X_0(p^2)\), IIT Hyderabad 2 August 2019.
- Introduction to Adic Spaces, Perfectoid Spaces Worksop and Discussion Meeting, ICTS Bangalore, 11 September 2019. (Notes, Video)
- Algebraic Geometry Seminar, TIFR Mumbai, 26 Feb 2021. (Slides)
- KSoM Seminar Series, Kerala School of Mathematics Kozhikode, 12 March 2021.
- Counting Genus 1 curves on Del Pezzo Surfaces, IIT Tirupati, 11 Oct 2022. (Slides)
- Counting Rational Curves with an ordinary m-fold point in the Complex Projective Space, IINMM 2024 at IISER TVM, 26 June 2024.
- Certain Geometric Representation of Surface Braid Group, Math Day NISER, 18 Oct 2024.