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IISER Dr. Homi Bhabha Road, Pashan, Pune 411008, Maharastra, India. Office: 463 Email: chitrabhanu[at]iiserpune[dot]ac[dot]in |
I am an INSPIRE Faculty at IISER Pune.
My research revolves around the topolgy and geometry of the Moduli of Curves. The Moduli of Curves parametrizes algebraic curves or Riemann surfaces upto 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 aswell.
Here is my updated Curriculum Vitae and research statement.
Publications and Preprints
- Elliptic Gromov-Witten Invariants
of del Pezzo Surfaces; with Nilkantha Das, J. Gökova Geom. Topol. (to be published).
Here is a C++ program by Nilkantha Das to calculate elliptic Gromov-Witten invariants for del Pezzo surfaces.
- Arithmetic applications of self-Intersection numbers for modular curves X_0(p^2); with Debargha Banerjee, Submitted.
- Self intersection numbers of minimal, regular models of modular curves X_0(p^2) over rational numbers; with Debargha Banerjee and Diganta Borah, Submitted.
- Equivariant cohomology of certain moduli of weighted pointed rational curves; Manuscripta Math. 150 (2016), no. 1-2, 137-150.
- The Cohomological Excess of Certain Moduli Spaces of Curves of Genus g; IMRN 2015, no. 4, 1056-1074.
- Topological Bounds on Certain Open Subvarieties of the Compactified Moduli Space of Curves; PhD thesis, Northwestern University 2013.
Selected talks and some notes
Please inform me of any mathematical errors or typos in these slides or notes and they shall be corrected.
- 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)
- Introduction to 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)
- Maryam Mirzakhani Memorial talk for IISER Pune Math Club, 17 November, 2017. (Slides)
- 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)
Conferences and Workshops
- Workshop and Discussion meeting on Perfectoid Spaces at ICTS Bangalore (9-20 September 2019).
- J-Holomorphic Curves and Gromov-Witten invariants at ICTS Bangalore (25 Dec 2017 - 4 Jan 2018)
- Introduction to J-holomorphic curves and Gromov-Witten Invariants at NISER Bhubaneshwar (10-22 July 2017)
last modified: Sep 27, 2019