Arbeitsgruppe Transformationsgruppen

RESEARCH INTEREST

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.

EMPLOIMENT

Jan. 2019 - Dec. 2022 - Postdoctoral Researcher, Ruhr-Universität Bochum, Germany.
Jan. 2018 - Dec. 2018 - Postdoctoral Researcher, Max Planck Institute for Mathematics, Bonn, Germany.
Oct. 2016 - Oct. 2017 - Postdoctoral Researcher, Institut Fourier, Université Grenoble Alpes, Grenoble, France.
April 2016 - Sep. 2016 - Postdoctoral Researcher, Institute of Mathematical Science (IMSc), Chennai, India.

EDUCATION

Ph.D. Mathematics, Chennai Mathematical Institute (CMI), Chennai, India.
M.Sc. Mathematics, University of Hyderabad, India.

PUBLICATIONS

• The Gromov width of Bott-Samelson varieties , with S. Cupit-Foutou, Transformation Groups (2022).
  
• Standard monomial theory and toric degenerations of Richardson varieties inside Grassmannians, with M. Fatemeh and C. Oliver, Journal of Algebraic Combinatorics, Vol. 54, (2021), 1159-1183.
  
• Standard monomial theory and toric degenerations of Richardson varieties inside flag varieties, with M. Fatemeh and C. Oliver, Women in Commutative Algebra, Proceedings of the 2019 WICA Workshop (AWMS book series, Vol. 29), (2021), 165-192.
  
• On the torus quotients of Schubert varieties, with S.K. Pattanayak, International Journal of Mathematics, 32 (2021), no. 03, 2150012.
  
• A note on toric degeneration of a Bott-Samelson-Demazure-Hansen variety, Journal of Algebraic Combinatorics, 53 (2021), 177-199.
  
• Cohomology of line bundles on horospherical varieties, with Benoît Dejoncheere, Mathematische Zeitschrift, 296 (2020), 525-540.
  
• On Mori cone of Bott towers, Journal of Algebra, 507 (2018), 467-501. Erratum.
  
• On Fano and weak Fano Bott-Samelson-Demazure-Hansen varieties, Journal of Pure and Applied algebra 222 (2018), no.9, 2552-2561.
  
• Rigidity of Bott-Samelson-Demazure-Hansen variety for PSp(2n, C), with S.S. Kannan, Journal of Lie theory 27 (2017), 435-468.
  
• Automorphism group of a Bott-Samelson-Demazure-Hansen Variety, with S.S.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.S. Kannan and S.K. Pattanayak, Communications in Algebra 42 (2014), no. 5, 1880-1895.
  

preprints

• On intersection cohomology with torus action of complexity one, II, with M. Agustin Vicente and K. Langlois. Preprint.