Dr. Shiv Parsad

Designation : Assistant Professor

Broad Area of Expertise : Mathematics

Email : shiv{at}iitgoa.ac.in

Contact Number : 0832-2490-124

Address : F-1, IT Building

Personal Page

Educational Qualifications

  1. Doctor of Philosophy in Mathematics, Indian Institute of Science Education and Research (IISER) Mohali, India, 2010-2015
  2. 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

  1. Assistant Professor, IIT Goa, 31 January 2019 till present
  2. Postdoctoral fellow, Harish Chandra Research Institute, October 2018 till January 2019
  3. Postdoctoral fellow, IISER Bhopal, October 2015 till October 2018

Recent Publications

  1. (with B. Sanki) Filling systems on surfaces, To appear in Journal of Topology and Analysis
  2. (with A. Bhattacharya and K. Rajeevsarathy) Geometric realizations of cyclic actions on surfaces - II, Geometriae Dedicata, 216, 67 (2022).
  3. Z-Classes in the mapping class group, Topology Appl. 318 (2022), 108196
  4. (with  B. Sanki) Self-intersecting filling curves on surfaces, J. Knot Theory Ramifications, 31(7)(2022) 
  5. (with K. Rajeevsarathy and B. Sanki) Geometric realizations of cyclic actions on surfaces, Journal of Topology and Analysis 11(4) (2019), 929-964.
  6. (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
  7. (with K. Gongopadhyay) Conjugation orbits of loxodromic pairs in SU(n, 1), Bulletin des Sciences Mathematiques, 148 (2018), 14-32.
  8. (with K. Gongopadhyay and J. R. Parker) On the classification of unitary matrices, Osaka J. Math. 52(4) (2015), 959-993.
  9. (with K. Gongopadhyay) Classification of quaternionic hyperbolic isometries, Conformal Geometry and Dynamics 17 (2013), 68-76.


Recognition and Awards

  1. SERB MATRICS grant, 2022-2025.
  2. CSIR-UGC Junior/senior research fellowship, 2011-2015.
  3. NBHM Scholarship for post graduation studies, 2006-2007.
  4. Role of honour award from Guru Nanak college (Muktsar), 2005.

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