FACULTY PROFILE
Personal Details
Name: Jaspreet Kaur
Designation: Assistant Professor
Department: Mathematics
Education: M.Phil (Mathematics), Ph.D.
Current Occupation
Assistant Professor (Permanent) in Department of Mathematics, St. Stephen’s College , University of Delhi.
Research Area
Transformation groups (Algebraic Topology)
Educational Qualification
2017 Ph.D (Mathematics) University of Delhi, India
Thesis title: Free S1 and S3 actions on certain spaces and uniform version of
Z2 -index.
Adviser: Prof. Tej B. Singh
2007 M.Phil (Mathematics) University of Delhi, India
Dissertation title: Generalized Borsuk-Ulam Theorem and Index of Involution on Lens Spaces
Adviser: Prof. Tej B. Singh
2004 M.A. (Mathematics) University of Delhi (Hansraj College)
2002 B.A. (Mathematics) University of Delhi (Sri Venkateshwara College)
Teaching Experience
- Hans Raj College (Ad-hoc) from 5 August 2008 to 30 April 2010.
- Lady Shri Ram College (Guest) from 7 August 2010 to 21 August 2010.
- Stephen’s College (Guest) from 5 August 2010 to 31 August 2010.
- Stephen’s College (Temporary) from 7 September 2010 to 7 June 2011.
- Janki Devi Memorial College (Guest) from 25 August to 24 September 2012.
- Keshav Mahavidyalaya (Guest) from 14 Jan to 30 April 2013
- Mata Sundri College for Women (Ad-hoc) from 11 August 2014 -31 March 2015
- St Stephen’s College (Permanent) since 6 April 2015
Other Academic Achievements
- First position in Hans Raj College and third in University of Delhi in M.A (Previous) 2003.
- First position in Hans Raj College and third in University of Delhi in M.A(Final) 2004
- Qualified GATE in year 2004 with 85.2 percentile and all India rank 219.
- Recipient of National Board of Higher Mathematics (NBHM) Research Fellowship (availed from September 2004 to July 2007).
- Qualified NET in year 2008 (June).
- Awarded Indian Mathematical Society (IMS) prize for the year 2011 for presenting best research paper at 77th Annual conference of IMS.
- Awarded best poster presentation award in the workshop on Indian Women and Mathematics held at Department of Mathematics, University of Delhi during April 2-4 2015.
Publications
- “Uniform Version of Index for Uniform Spaces with Free Involutions”, Topology and its Applications, Vol 160 (2013).
- “On the Existence of Free Action of S3 on certain Finitistic mod p Cohomology Spaces”, jointly with Hemant Kumar Singh, vol. 82 (2015) Journal of Indian Mathematical Society.
- “Circle Group Action on Product of Two Projective Spaces”, jointly with Hemant Kumar Singh and Tej B. Singh , vol. 48 (2016) Topology Proceedings.
- “Free S1 and S3 Actions on the Product of a Projective Space and 3-Sphere.” Communicated
Talks/Lectures Delivered
- One talk on “Orbit space of free Involutions on Spheres” in Research Scholars’ Seminar held at Department of Mathematics, University of Delhi during March 31 to April 2, 2008.
- Presented paper “Uniform Versions of Index for Uniform Spaces with free Involutions” at 77th Annual conference of Indian Mathematical Society held at SRTM University, Nanded during December 27-30, 2011.
- One talk on “Relations between B-index and Rings of Functions on Topological Spaces with Free Involutions” in Research Scholars’ Seminar held at Department of Mathematics, University of Delhi during March 24-25, 2012.
- One talk on “Circle group action on product of two projective spaces”, in Research Scholars’ Seminar held at Department of Mathematics, University of Delhi during Feb 23-24, 2015.
- Delivered a talk on “On the existence of free action of S3 on certain finitistic mod p cohomology spaces” at South Asian Mathematics Research Scholars Meet held during May 8-9, 2015.
- Delivered a talk on “Free Circle group action on the product of two projective spaces” at IWM conference, held at University of Hyderabad during June 29,30 & July 1, 2016.
- Delivered a talk on “ Index of free S1 and S3 actions on certain spaces and existence of equivariant maps” in the International conference on Topology and Geometry, held at University of Delhi, during November 23-24, 2017.
Research Programmes Attended
- Annual Foundation School –II at Harish Chandra Research Institute Allahabad from December 03 to December 30, 2004.
- Pre-ICM International Convention on Mathematical Sciences at University of Delhi from December 18 to December 20, 2008.
- Research Scholars’ Seminar at Department of Mathematics, University of Delhi during Jan 22 to Jan 23, 2009.
- Conference ‘Advances in Mathematics: Focus on Women in Mathematics’, JNU during October 5 to October 7, 2009.
- National workshop on ‘Aspects of Dynamical Systems’, IIT Delhi during December 22 to December 24, 2009.
- Advanced Training in Mathematics for Lecturers (ATML) in Complex Analysis with modern perspectives at University of Delhi from March 16 to April 04, 2009.
- Advanced Training in Mathematics for Lecturers (ATML) in Real Analysis at University of Delhi from March 22 to April 03, 2010.
- International Conference on ‘Teichmuller Theory and Interfaces with Ergodic Theory and Group Actions’, SPS, JNU during October 28 to Nov 1, 2013.
- Workshop on Indian Women and Mathematics held at Department of Mathematics, University of Delhi during April 2-4 2015.
- South Asian Mathematics Research Scholars meet held at South Asian University during May 8-9, 2015.
- National conference on Algebra, Analysis, Coding and Cryptography, Department of Mathematics, University of Delhi, October 14-15, 2016.
- 33rd Annual Conference of Ramanujan Mathematical Society, University of Delhi, June 1-3, 2018.
Faculty Development Programmes Attended
- Capacity Building Workshop on e-content creation in Mathematics, Institute of Lifelong Learning, University of Delhi, 29th January 2016.
- 3-Week Special Summer School at UGC-Human Resource Development Center, Jamia Millia Islamia 26 May -15 June, 2016.
- FDP on Statistical computing software ‘R’, Keshav Mahavidyalaya (University of Delhi), 24th March, 2017.
- One week FDP on software Packages for Mathematical Sciences Hansraj College (University of Delhi), 14-19 Nov 2018.
Projects with students
- (Reading Project) with Deepak Gothwal and Taru Tekriwal “A Proof of the Fundamental Theorem of Algebra via Homotopy”. (2016)
- (Reading Project) with Murtaza Farooq, Shourya, and Anmol “ Some Fixed Point Theorems and their Applications) (Ongoing)
Workshop/Conferences Organized
Convener, “National Workshop on Group Theory and its Applications” at St. Stephen’s College during 28 -29 March, 2016. (Funded by National Board of Higher Mathematics)
Other Academic Work
- Staff Advisor (2015-16) Mathematics Society, St. Stephen’s college.
- Staff Advisor (2015-2017) Punjabi Literary Society, St. Stephen’s college.
- Tutor for Admissions (Physics, B.A. (P)) 2016
Membership of Learned Societies
- Ramanujan Mathematical Society (Life Member)
- Indian Mathematical Society (Life Member)