Dr. Narasimha Chary Bonala
Assistant Professor
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur
Kanpur, UP 208016
India.
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Office: FB 583, 5th Floor, Faculty Building
Email: chary[AT]iitk.ac.in
Phone: 0512-259-2361
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Algebraic geometry, Algebraic Groups and Representation Theory.
I am mainly interested in algebraic group actions on algebraic varieties; the geometry of flag varieties, torus actions, toric varieties and spherical varieties.
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Jan. 2019 - Dec. 2022 - Postdoctoral Researcher, Ruhr-Universität Bochum, Germany. Mentor: Prof. Stéphanie Cupit-Foutou.
Jan. 2018 - Dec. 2018 - Postdoctoral Researcher, Max Planck Institute for Mathematics, Bonn, Germany.
Oct. 2016 - Dec. 2017 - Postdoctoral Researcher, Institut Fourier, Université Grenoble Alpes, Grenoble, France. Mentor: Prof. Michel Brion.
April 2016 - Sep. 2016 - Postdoctoral Researcher, Institute of Mathematical Science (IMSc), Chennai, India.
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EDUCATION
Ph.D. Mathematics, Chennai Mathematical Institute (CMI), Chennai, India.
M.Sc. Mathematics, University of Hyderabad, India.
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- 2026-27-I (upcoming) Semester: MTH436: Basic Algebraic Geometry.
- 2025-26-II Semester: MTH651 Introduction to toric varieties.
- 2025-26-I Semester: MTH201 Linear Algebra.
- 2024-25-III Summer Semester: MTH204 (A and B): Abstract Algebra.
- 2024-25-II Semester: MTH641: Introduction to Lie Algebras and Representation Theory.
- 2024-25-I Semester: MTH436: Basic Algebraic Geometry.
- 2023-24-II Semester: Abstract Algebra, MSc.
- November 21-25, 2023 (Short course): Introduction to Linear algebraic Groups. Preparatory Lectures for the workshop on Spherical Varieties.
- 2023-24-I Semester: Introduction to toric varieties.
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National Mathematics Day-2025, February 21, 2026.
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- The Gromov width of generalized Bott-Samelson manifolds, with Yogendra Singh. Preprint 2026.
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On intersection cohomology with torus action of complexity one, II, with Marta Agustin Vicente and Kevin Langlois, Transformation Groups, Vol 31, 2073-2132 (2026).
- On the GIT quotient of Grassmannians by one dimensional torus, with S.S. Kannan and S.K. Pattanayak, Bulletin des Sciences Mathématiques, Vol 211, 103830 (2026).
- Topological K-theory of Peterson varieties, with S.K. Pattanayak and A.S. Thakur. Preprint 2026.
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A note on the Gromov width of toric manifolds, with Stéphanie Cupit-Foutou, Journal of Geometry and Physics, Vol.199, 105149, (2024).
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The Gromov width of Bott-Samelson varieties, with Stéphanie Cupit-Foutou, Transformation Groups, Vol.29, pages 495–516, (2024).
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Standard monomial theory and toric degenerations of Richardson varieties inside Grassmannians, with Fatemeh Mohammadi and Oliver Clarke, Journal of Algebraic Combinatorics, Vol. 54, (2021), 1159-1183.
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Standard monomial theory and toric degenerations of Richardson varieties inside flag varieties, with Fatemeh Mohammadi and Oliver Clarke, Women in Commutative Algebra, Proceedings of the 2019 WICA Workshop (AWMS book series, Vol. 29), (2021), 165-192.
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On the torus quotients of Schubert varieties, with Santosha Kumar Pattanayak, International Journal of Mathematics, 32 (2021), no. 03, 2150012.
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A note on toric degeneration of a Bott-Samelson-Demazure-Hansen variety, Journal of Algebraic Combinatorics, 53 (2021), 177-199.
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Cohomology of line bundles on horospherical varieties, with Benoît Dejoncheere, Mathematische Zeitschrift, 296 (2020), 525-540.
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On Mori cone of Bott towers, Journal of Algebra, 507 (2018), 467-501. Erratum.
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On Fano and weak Fano Bott-Samelson-Demazure-Hansen varieties, Journal of Pure and Applied algebra 222 (2018), no.9, 2552-2561.
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Rigidity of Bott-Samelson-Demazure-Hansen variety for PSp(2n, C), with S.Senthamari Kannan, Journal of Lie theory 27 (2017), 435-468.
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Automorphism group of a Bott-Samelson-Demazure-Hansen Variety, with S.Senthamari Kannan, A.J Parameshwaran, Transformation Groups 20 (2015), no. 3, 665-698.
- Torus invariants of the homogeneous coordinate ring of G/B-connection with the Coxeter elements, with S.Senthamari Kannan and Santosha Kumar Pattanayak, Communications in Algebra 42(2014), no.5, 1880-1895.
- Thesis: Torus Quotients and Automorphism group of a Bott-Samelson-Demazure-Hansen variety, Ph.D Thesis, Chennai Mathematical Institute, India 2016.
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