Anusha M. Krishnan

I am a postdoc in mathematics at the University of Münster.

Previously I was a postdoc at Syracuse University. I received my PhD in 2019 at the University of Pennsylvania, where my advisor was Wolfgang Ziller. I did my undergraduate studies at the Indian Institute of Technology (IIT), Kanpur, India.

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

Here is a copy of my CV.

PAPERS AND PREPRINTS

1. Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow [with F. Pediconi, S. Sbiti]
   Preprint. arXiv:2312.01469


2. 10-dimensional positively curved manifolds with T³-symmetry [with M. Wiemeler]
   Preprint. arXiv:2310.12689


3. 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


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


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


6. 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


7. 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