Profile Summary
Dr. Grover did B.Sc. Mathematics and M.Sc. Mathematics from University of Delhi, and Ph.D. from Indian Statistical Institute, Delhi. Her research interests lie in Matrix Analysis and Operator Theory. She has been working on derivatives of matrix functions, matrix inequalities and in studying properties of orthogonality in Banach spaces. Dr. Grover has been associated with the Mathematics Training and Talent Search (MTTS) programme organized by the MTTS trust and ATM schools organized by National Centre of Mathematics.
Educational Qualifications
2006
2008
2014
Work Experience
07/21 – Present
I currently work here
04/15
06/21
01/15
04/15
Teaching & Research Interests:
My main research interests are in Matrix Analysis and Operator Theory.
Ph.D. Students:
- Sushil Singla, Birkhoff-James orthogonality and distance formulas in C*-algebras and
for tuples of operators, 2022. - Veer Singh Panwar, Positivity properties of some special matrices and their Hadamard powers, 2022 (Co-advisor: Dr. Satyanarayana A. Reddy).
- Krishna Kumar Gupta, ongoing.
M.Sc. Students:
- Harman Kour, A study of James-Birkhoff orthogonality, 2017.
B.Sc. Students:
- Sabyasachi Mukherjee, Dirichlet's theorem on Arithmetic Progressions, 2017.
- Akshay A. Puri, Spectral theorem of compact normal operators, 2019.
- Mallika Muralidharan, Subdifferential of matrix norms, 2020.
- Pavan Chamarthy, Totally positive matrices, 2021.
- Chinmaya Venkataraman, Differentiation in normed linear spaces, 2021.
- Manu Tyagi, Symplectic eigenvalues of positive definite matrices, 2022.
INVITED TALKS
- Orthogonality in M(n), B(H), C(X) at Annual Conference of Indian Women and Mathematics (Early stage mathematician), Banasthali Vidyapith (on 29/01/2022)
- Orthogonality in some Banach spaces at Workshop on Functional Analysis and its Applications, IIIT Allahabad (on 14/01/2022)
- Characterizations for best approximations in C*-algebras and Hilbert C*-modules at 87th Annual Conference of Indian Mathematical Society (on 07/12/2021)
- Orthogonality and distance problems in C*-algebras at IWOTA 2019, Instituto Superior Técnico
Lisbon, Portugal (on 23/07/2019) - Orthogonality and best approximation problems in C*-algebras at Conference on Algebra, Analysis and Applications, Ambedkar University Kashmere Gate, Delhi, India (on 10/05/2019)
- Perturbation bounds for Mostow's decomposition at Recent Advances in Operator Theory and Operator Algebras, Indian Statistical Institute, Bangalore, India (on 15/12/2018)
- Perturbation of matrix factorizations at Conference in honour of Prof. Rajendra Bhatia, Indian Statistical Institute, New Delhi, India (on 30/05/2017)
- Derivatives of tensor powers and their norms at 31st Annual Conference of Ramanujan Mathematical Society (Symposium on Functional Analysis), National College, Tiruchirapalli, Tamil Nadu, India (on 21/06/2016)
OTHER PROFESSIONAL ACTIVITIES
- Panellist, Panel discussion on Indian Women and Mathematics: Looking behind and the road ahead, in Indian Women and Mathematics Annual Conference, held in Shiv Nadar University, during June 21-23, 2018.
- Member of Scientific Committee, Indian Women and Mathematics Annual Conference, Shiv Nadar University, June 21-23, 2018.
- Organizer and Lecturer, Advanced Instructional School on Matrix Analysis, Shiv Nadar University, May 2-21, 2016
- Lecturer and Resource person in MTTS 2016 at IIT Madras during June 7-18, 2016, and in MTTS 2015 at SSN College of Engineering, Chennai during June 1-13, 2015
Research Areas
Courses Taught(Selected)
Conferences (Select):
- ICM Satellite conference on Functional Analysis and Operator theory, held in Indian Statistical Institute, Bangalore, India, in August 8-11, 2010.
- International Congress of Mathematicians, held in Hyderabad, India, in August 19-23, 2010.
- Indo-French Workshop on Matrix Information Geometries, held in Ecole Polytechnique and Thales Research and Technology Center, Palaiseau, France, in February 23-25, 2011.
- 27th Annual Conference of Ramanujan Mathematical Society, held in New Delhi, India, in October 20-23, 2012.
- Matrices and Operators (Conference in honour of sixtieth birthday of Rajendra Bhatia), held in Indian Institute of Science, Bangalore, India, in December 27-30, 2012.
- Advanced School and Workshop on Matrix Geometries and Applications, held in The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, in July 1-12, 2013.
- The 19th International Linear Algebra Society Conference, held in Seoul, South Korea, in August 5-9, 2014.
- International Congress of Women Mathematicians, held in Seoul, South Korea, in August 12 \& 14, 2014.
- International Congress of Mathematicians, held in Seoul, South Korea, in August 13-16, 2014.
- Recent Advances in Operator Theory and Operator Algebras 2014, held in Indian Statistical Institute, Bangalore, India, in December 9-19, 2014.
- Indian Women and Mathematics, held in University of Delhi, New Delhi, India, in April 2-4, 2015.
- 31st Annual Conference of Ramanujan Mathematical Society, held in National College, Tiruchirapalli, India, in June 18-21, 2016.
- Annual Conference of Indian Women and Mathematics, held in Shiv Nadar University, Greater Noida, Uttar Pradesh, India, in June 21-23, 2018.
- Recent Advances in Operator Theory and Operator Algebras 2018, held in Indian Statistical Institute, Bangalore, India, in December 13-19, 2018.
- International Workshop on Operator Theory and its Applications (IWOTA) 2019, held in Instituto Superior Técnico, Lisbon, Portugal, in July 22-26, 2019.
- 87th Annual Conference of Indian Mathematical Society (online), organized by MGM University, Maharashtra, in December 4-7, 2021.
- Annual Conference of Indian Women and Mathematics (online), organized by Banasthali Vidyapith, Rajasthan, India, in January 28-30, 2022.
Awards(Selected):
2022 – 2025
Associate of the Indian Academy of Sciences
2019 – 2022
SERB Early Career Research Award
2015 – 2020
DST-INSPIRE Faculty Award
2015
Postdoctoral Fellowship, IIT Delhi
2008
JRF, Indian Statistical Institute
2008
JRF in Mathematical Sciences, UGC
2006 – 2008
University Postgraduate Scholarship, University of Delhi