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Swathi Krishna (സ്വാതി കൃഷ്ണ)

Email: swathi280491@gmail.com

Swathi Krishna

I was a postdoc at TIFR Centre for Applicable Mathematics, Bangalore. Previously, I was a postdoc at  Kerala School of Mathematics, Kozhikode (August-December, 2024), School of Mathematics, TIFR, Mumbai (2022-2024), and UM-DAE Centre for Excellence in Basic Sciences, Mumbai (2021-2022). I received my PhD from Indian Institute of Science Education and Research, Mohali, under the supervision of Krishnendu Gongopadhyay and Pranab Sardar in June 2020. My area of research is geometric group theory.  I am particularly interested in hyperbolic groups, relatively hyperbolic groups  and their boundaries.

CV 

Research

 6. Relative hyperbolicity of ascending HNN of groups. [arXiv]. 2024. Preprint.

 5. Relatively hyperbolic metric bundles and Cannon-Thurston map. [arXiv]. 2026. Accepted in Geometriae Dedicata. 

 4. Pullback of metric bundles and Cannon-Thurston maps with Pranab Sardar. [PDF]. 2025. Algebraic & Geometric Topology volume 25.

 3. Twisted conjugacy in Big Mapping Class Groups with Sushil Bhunia. [arXiv]. 2023. Topology and its Applications volume 324. 

 2. A limit set intersection theorem for graph of relatively hyperbolic groups. [PDF]. 2020. Proceedings - Mathematical Sciences volume 130, Article number: 36.

 1. Palindromic width of graph of groups with Krishnendu Gongopadhyay. [PDF]. 2020. Proceedings - Mathematical  Sciences volume 130, Article number: 22.

 0. Thesis: Hyperbolicity, complexes of groups and Cannon-Thurston maps. 

Teaching

At TIFR CAM

  • Instructor, Algebraic Topology crash course (Feb-June 2025).

At UM-DAE CEBS

  • Instructor, M803 Differential Topology (Feb 2022-May 2022).

  • Instructor, M503 Topology II (Aug-Nov 2021).

  • Co-instructor, M201 Mathematics II (April-July 2021).

As a teaching assistant at IISER Mohali

  • MTH 102 Analysis in one variable (Jan-April 2020).

  • MTH 201 Curves and surfaces (Aug-Dec 2019).

  • MTH 102 Analysis in one variable (Jan-April 2019).

  • MTH 201 Curves and surfaces (Aug-Dec 2018).

  • MTH 101 Symmetry (Aug-Dec 2017).

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