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I am an Assistant Professor in School of Mathematics and Computer Science at IIT Goa. I am interested in broad area of Topology and Geometry.
I am an Assistant Professor in School of Mathematics and Computer Science at IIT Goa. I am interested in broad area of Topology and Geometry.
- Email: shiv[AT]iitgoa[DOT]ac[DOT]in
- CV: Click here
Research Interests
Research Interests
- Complex hyperbolic geometry
- Surface group representations
- Mapping class groups of surfaces
- Topological and geometric aspects of graph theory
Publications & Preprints
Publications & Preprints
- (with K. Rajeevsarathy and B. Sanki) Geometric realizations of cyclic actions on surfaces, Journal of Topology and Analysis, 11 (2019), 929-964.
- (with K. Gongopadhyay) On Fenchel-Nielsen coordinates of surface group representations into SU(3,1), Mathematical Proceedings of the Cambridge Philosophical Society 165 (2018), 1-23.
- (with K. Gongopadhyay) Conjugation orbits of loxodromic pairs in SU(n,1), Bulletin des Sciences Mathematiques, 148 (2018), 14-32.
- (with K. Gongopadhyay and J. R. Parker) On the classification of unitary matrices, Osaka Journal of Mathematics 52 (4) (2015), 959-991.
- (with K. Gongopadhyay) Classification of quaternionic hyperbolic isometries, Conformal Geometry and Dynamics 17 (2013), 68-76.
- (with A. Bhattacharya and K. Rajeevsarathy) Geometric realizations of cyclic actions on surfaces-II (under review), arXiv:1803.00328, 2018.
- (with B. Sanki) Filling systems on surfaces, arXiv:1708.06928, 2017.
Google scholar link: Click here
Google scholar link: Click here
Mathscinet link: Click here
Mathscinet link: Click here
Teaching
Teaching
- Measure Theory and Integration (Current semester, IIT Goa)
- Linear Algebra (Summer 2019, IIT Goa)
- Calculus (2019, Jointly with Prof. Shobha Madan, IIT Goa)
- Graduate Course in Analysis (2019, IIT Goa)
- Advanced Linear Algebra ( 2016, IISER Bhopal)
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