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 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.

Publications and Preprints

Limits of Teichmuller geodesics in the Bers boundary (working title), with Pranav Haridas (in preparation).
Counting rational curves with an m-fold point; with Indranil Biswas, Apratim Choudhury, Ritwik Mukherjee and Anantadulal Paul, to appear in AiM (arxiv).

The intersection matrices of X_0(p^r) and some applications; with Debargha Banerjee and Priyanka Majumder (arxiv).

Elliptic Gromov-Witten Invariants of del Pezzo Surfaces; with Nilkantha Das, J. Gökova Geom. Topol. (arxiv, journal).

Here is a C++ program by Nilkantha Das to calculate elliptic Gromov-Witten invariants for del Pezzo surfaces.

Semi-stable models of modular curves X_0(p^2) and some arithmetic applications; with Debargha Banerjee, Israel J. Math, (arxiv, journal).

Arakelov self-intersection numbers of minimal regular models of modular curves X_0(p^2); with Debargha Banerjee and Diganta Borah, Math. Z., (arxiv, journal).

Equivariant cohomology of certain moduli of weighted pointed rational curves; Manuscripta Math, (arxiv, journal).

The Cohomological Excess of Certain Moduli Spaces of Curves of Genus g; IMRN, (arxiv, journal).

Topological Bounds on Certain Open Subvarieties of the Compactified Moduli Space of Curves; PhD thesis, Northwestern University 2013.

Conferences and Workshops Organised

Upcoming:

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).

Past:

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

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)

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)

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)

Topics in Complex analysis, Refresher course for College Teachers in Complex Analysis, KSOM Kozhikode, 28 Nov - 1 Dec 2019. (Notes)

Algebraic Geometry Seminar, TIFR Mumbai, 26 Feb 2021. (Slides)

KSoM Seminar Series, Kerala School of Mathematics Kozhikode, 12 March 2021.

Celebrating Women in Mathematics, In remembrance of Maryam Mirzakhani (aimed at undergraduate students), IISER Berhampur, 12 May 2021. (Slides, Video)

Plationic Solids, NISER Outreach Program, 21 Jan 2022. (Slides)

Counting Genus 1 curves on Del Pezzo Surfaces, IIT Tirupati, 11 Oct 2022. (Slides)

last modified: 3 March, 2021