Faculty at School of Natural Sciences
Priyanka Grover
Associate Professor
School of Natural Sciences
Contact Information
- Email: [email protected]
- Number: Ext 702
Matrix Analysis and Operator Theory
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2006
B.Sc. Mathematics, University of Delhi
2008
M. Sc. Mathematics, University of Delhi
2014
Ph. D. Mathematics, Indian Statistical Institute
07/21 - Present
Associate Professor, Department of Mathematics, School of Natural Sciences, Shiv Nadar University, Delhi-NCR
04/15 - 06/21
Assistant Professor, Department of Mathematics, School of Natural Sciences, Shiv Nadar University, Delhi-NCR
01/15 - 04/15
Post Doctoral Fellow, Indian Institute of Technology, Delhi Delhi
Functional analysis, Matrix analysis, Operator Theory
PK Jain award of Indian Mathematical Society 2024
2024 - 2027
SERB CRG (PI: Prof. TSSRK Rao, co PI: DR. Priyanka Grover)
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
- P. Grover, S. Singla, Subdifferential set of the joint numerical radius of a tuple of matrices, Linear and Multilinear Algebra 71 (2023) 2709-2718 https://arxiv.org/
abs/2201.03055 - P. Grover, S. Singla, A distance formula for tuples of operators, Linear Algebra and its Applications 650 (2022) 267-285 https://arxiv.org/abs/2206.01503
- P. Grover, V.S. Panwar, Bidiagonal decompositions and total positivity of some special matrices, Operators and Matrices 16 (2022) 545-558 https://arxiv.org/abs/2205.15742
- P. Grover, S. Singla, Best approximations, distance formulas and orthogonality in C*-algebras, Journal of the Ramanujan Mathematical Society 36 (2021) 85-91. https://arxiv.org/abs/2101.06059
- P. Grover, V. S. Panwar, A. S. Reddy, Positivity properties of some special matrices, Linear Algebra and its Applications 596 (2020) 203-215. https://arxiv.org/pdf/2002.08703.pdf
- P. Grover, P. Mishra, Perturbation bounds for Mostow's decomposition and the bipolar decomposition, Linear Algebra and its Applications 529 (2017) 12-29 http://arxiv.org/pdf/1704.00122.pdf
- P. Grover, Orthogonality of matrices in the Ky Fan k-norms, Linear and Multilinear Algebra 65 (2017) 496-509 http://arxiv.org/pdf/1605.05649.pdf
- P. Grover, S. Singla; Birkhoff-James orthogonality and applications: a survey, Operator Theory, Functional Analysis and Applications, Operator Theory: Advances and Applications 282 (2021) pp. 293-315. https://arxiv.org/pdf/2005.07399.pdf
- P. Grover, Derivatives of multilinear functions of matrices, Matrix Information Geometry, eds. Frank Nielsen, Rajendra Bhatia, (2013) pp. 93-109. https://arxiv.org/pdf/1007.4402.pdf
- Subdifferential set of the joint numerical radius of a tuple of matrices, (PK Jain award lecture), 89th Annual Conference of the Indian Mathematical Society-An International Meet, BITS Pilani - Hyderabad Campus (on 22/12/2023)
- Orthogonality in M(n), B(H), C(X), Annual conference of Indian Women in Mathematics (Early Researcher category), Banasthali Vidyapeeth (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, 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)