Anusha Mangala Krishnan

Department of Mathematics
Indian Institute of Technology, Bombay (IITB)
Mumbai - 400076
INDIA
Email: anushamk [at] math.iitb.ac.in
Office: 211-G

I am an Assistant Professor in the Department of Mathematics at the Indian Institute of Technology (IIT), Bombay.

My primary research interests are in Differential Geometry and Geometric Analysis. In particular, Lie group actions, metrics of positive and non-negative curvature, Ricci flow, prescribing Ricci curvature.

Before joining IIT Bombay, I was a postdoctoral fellow at the University of Münster, and before that, at Syracuse University. I received my PhD from the University of Pennsylvania. I did my undergraduate studies at IIT Kanpur.

Here is a copy of my CV.

    PAPERS AND PREPRINTS

  1. On the long time behavior of ancient homogeneous Ricci flows [with F. Pediconi]
    Preprint. arXiv:2602.15661

  2. Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow [with F. Pediconi, S. Sbiti]
    J. Lond. Math. Soc., to appear. arXiv:2312.01469

  3. 10-dimensional positively curved manifolds with T3-symmetry [with M. Wiemeler]
    Commun. Contemp. Math., Vol. 27, No. 10, 2550018 (2025). arXiv:2310.12689

  4. Ricci flow does not preserve positive sectional curvature in dimension four [with R. G. Bettiol]
    Calc. Var. Partial Differential Equations, 62 (2023), no. 1, Article No. 13. arXiv:2112.13291 Published version

  5. Prescribing Ricci curvature on a Product of Spheres [with T. Buttsworth]
    Ann. Mat. Pura Appl., 201 (2022), 1–36. arXiv:2010.05118

  6. Diagonalizing the Ricci tensor
    J. Geom. Anal., 31 (2021), 5638–5658. arXiv:1912.12686

  7. Four-dimensional cohomogeneity one Ricci flow and nonnegative sectional curvature [with R. G. Bettiol]
    Comm. Anal. Geom., 27 (2019), no. 3, 511–527. arXiv:1606.00778

  8. Making Matrices Better : Geometry and topology of polar and singular value decomposition [with D. DeTurck, A. Elsaify, H. Gluck, B. Grossmann, J. Hoisington, J. Zhang]
    Notices Amer. Math. Soc., 64 (2017), no. 8, 876–886. arXiv:1702.02131 Published version