Dr. Shiv Parsad
Designation : Associate Professor
Broad Area of Expertise : Mathematics
Email : shiv{at}iitgoa.ac.in
Contact Number : 0832-2490-124
Address : F-1, IT Building
Educational Qualifications
- Doctor of Philosophy in Mathematics, Indian Institute of Science Education and Research (IISER) Mohali, India, 2010-2015
- Master of Science in Mathematics, Punjabi University Patiala (Punjab), India, 2005-2007
Areas of Research
Hyperbolic geometry, mapping class groups of surfaces, and topological graph theory
Courses Taught
Professional Appointments
- Associate Professor, IIT Goa, 29 December 2023 till present
- Assistant Professor, IIT Goa, 31 January 2019 till 28 December 2023
- Postdoctoral fellow, Harish Chandra Research Institute, October 2018 till January 2019
- Postdoctoral fellow, IISER Bhopal, October 2015 till October 2018
Recent Publications
- (with B. Sanki) Filling systems on surfaces, To appear in Journal of Topology and Analysis
- (with A. Bhattacharya and K. Rajeevsarathy) Geometric realizations of cyclic actions on surfaces - II, Geometriae Dedicata, 216, 67 (2022).
- Z-Classes in the mapping class group, Topology Appl. 318 (2022), 108196
- (with B. Sanki) Self-intersecting filling curves on surfaces, J. Knot Theory Ramifications, 31(7)(2022)
- (with K. Rajeevsarathy and B. Sanki) Geometric realizations of cyclic actions on surfaces, Journal of Topology and Analysis 11(4) (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 J. Math. 52(4) (2015), 959-993.
- (with K. Gongopadhyay) Classification of quaternionic hyperbolic isometries, Conformal Geometry and Dynamics 17 (2013), 68-76.
Recognition and Awards
- SERB MATRICS grant, 2022-2025.
- CSIR-UGC Junior/senior research fellowship, 2011-2015.
- NBHM Scholarship for post graduation studies, 2006-2007.
- Role of honour award from Guru Nanak college (Muktsar), 2005.
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