Priyanka Grover | Department of Mathematics

Profile

Priyanka
Grover
Assistant Professor (DST-INSPIRE Faculty)
Department of Mathematics
School of Natural Sciences (SoNS)
A 111 G, Shiv Nadar University
Gautam Budddha Nagar, Greater Noida Uttar Pradesh
India
01203819100
Extn: 
702
Profile Summary 

I did my B.Sc. Mathematics and M.Sc. Mathematics from Hansraj College, University of Delhi, after which I joined as a Ph.D. student in Indian Statistical Institute, Delhi. My research specialty is in Matrix Analysis and Operator Theory. So far, I have worked on derivatives of matrix functions, matrix inequalities and in studying properties of a certain kind of orthogonality (called Birkhoff-James orthogonality) in Banach spaces. I have attended several reputed national and international conferences and workshops and presented my research in most of them. I was awarded DST-INSPIRE Faculty Award in 2015 and DST-SERB Early Career Research Award in 2019. I have also been associated with the Mathematics Training and Talent Search (MTTS) programme as a student and later as a resident faculty. I have also been a part of ATM schools  organized by National Centre of Mathematics in different roles-tutor, organizer, lecturer. 

 

 

    Educational Qualifications 
    2006
    B.Sc. Mathematics
    University of Delhi
    2008
    M. Sc. Mathematics
    University of Delhi
    2014
    Ph. D. Mathematics
    Indian Statistical Institute
    Work Experience 
    01/15
    04/15
    Post Doctoral Fellow
    Indian Institute of Technology, Delhi
    Delhi
    Teaching & Research Interests: 

    My major teaching interests are Calculus, Real Analysis, Linear Algebra, Functional Analysis, Measure Theory, Complex Analysis, Operator Theory, Topology, Matrix Analysis.

    My main research interests are in Matrix Analysis and Operator Theory. My research work can be characterized into the following categories:

    1. Study of orthogonality in Banach spaces
    2. Matrix inequalities
    3. Derivatives and perturbation bounds of matrix functions

    STUDENTS' THESES:

    Ph.D. Students:

    • Veer Singh Panwar, Positivity properties of some special matrices , ongoing (Co-advisor: Dr. Satyanarayana A. Reddy)
    • Sushil Singla, Orthogonality and distance problems in C*-algebras, ongoing.

    M.Sc. Students:

    • Harman Kour,  A study of James-Birkhoff orthogonality, 2017. (Current position- Research Affiliate, High Altitudes Programme, Nature Conservation Foundation, Bengaluru. She is going to start a Ph.D. in Ecology/Evolution at Stanford University)

    B.Sc. Students:

    • Sabyasachi Mukherjee, Dirichlet's theorem on Arithmetic Progressions, 2017. (Current position-M.Sc. Mathematics at Faculty of Mathematics and Computer Science in Georg-August-Universität Göttingen.)
    • Akshay A. Puri, Spectral theorem of compact normal operators, 2019.

    INVITED TALKS 

    • 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
    Conferences (Select): 
    1.  ICM Satellite conference on Functional Analysis and Operator theory, held in Indian Statistical Institute, Bangalore, India, in August 8-11, 2010.
    2.  International Congress of Mathematicians, held in Hyderabad, India, in August 19-23, 2010.
    3.  Indo-French Workshop on Matrix Information Geometries, held in Ecole Polytechnique and Thales Research and Technology Center, Palaiseau, France, in February 23-25, 2011.
    4. 27th Annual Conference of Ramanujan Mathematical Society, held in New Delhi, India, in October 20-23, 2012.
    5. 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.
    6. 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.
    7. The 19th International Linear Algebra Society Conference, held in Seoul, South Korea, in August 5-9, 2014.
    8. International Congress of Women Mathematicians, held in Seoul, South Korea, in August 12 \& 14, 2014.
    9.  International Congress of Mathematicians, held in Seoul, South Korea, in August 13-16, 2014.
    10. Recent Advances in Operator Theory and Operator Algebras 2014, held in Indian Statistical Institute, Bangalore, India, in December 9-19, 2014.
    11.  Indian Women and Mathematics, held in University of Delhi, New Delhi, India, in April 2-4, 2015.
    12. 31st Annual Conference of Ramanujan Mathematical Society, held in National College, Tiruchirapalli, India, in June 18-21, 2016.
    13.  Indian Women and Mathematics, held in Shiv Nadar University, Greater Noida, Uttar Pradesh, India, in June 21-23, 2018.
    14. Recent Advances in Operator Theory and Operator Algebras 2018, held in Indian Statistical Institute, Bangalore, India, in December 13-19, 2018.
    Awards(Selected): 
    20192022

    DST-SERB Early Career Research Award

    20152020

    DST-INSPIRE Faculty Award

    2015

    Postdoctoral Fellowship, IIT Delhi

    2008

    JRF, Indian Statistical Institute 

    2008

    JRF in Mathematical Sciences, UGC

    20062008

    University Postgraduate Scholarship, University of Delhi

    Scholarly Activity

    Journal Publications (accepted or published)

    • Rajendra Bhatia, Priyanka Grover, Norm inequalities related to the matrix geometric mean, Linear Algebra and its Applications 437 (2012) 726-733
    • Tirthankar Bhattacharyya, Priyanka Grover, Characterization of Birkhoff-James orthogonality, Journal of Mathematical Analysis and Applications 407 (2013) 350-358
    • Rajendra Bhatia, Priyanka Grover, Tanvi Jain, Derivatives of tensor powers and their norms, Electronic Journal of Linear Algebra 26 (2013) 604-619
    • Priyanka Grover, Orthogonality to matrix subspaces, and a distance formula, Linear Algebra and its Applications 445 (2014) 280-288 
    • Priyanka Grover, Pradip 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

    Conference Publications

    2013
    • Priyanka 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