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Divya Khurana
Divya Khurana
Assistant Professor (Grade – II)
Area:
  • Humanities and Applied Sciences

divya.khurana[at]iimranchi.ac.in


Qualifications
  • Ph.D. (Mathematics), IIT Kanpur, 2016

About the Faculty

Dr. Divya Khurana received her bachelor's and master's degree from Kurukshetra University, Kurukshetra, and Ph.D. degree from the Department of Mathematics and Statistics, IIT Kanpur. Her Ph.D. research work was mainly aimed at studying complemented subspaces of some classical Banach spaces. She has a few years of postdoctoral research experience from ISI Kolkata, NISER Bhubaneswar, Weizmann Institute of Science, Israel, and IISc Bangalore. She joined the Humanities and Applied Sciences area at IIM Ranchi in March 2022. Her research interests are greedy-type approximation algorithms and geometry of normed linear spaces.  Currently, she is working on a few problems related to various notions of orthogonality in normed linear spaces.


Teaching Areas

  • Analysis,
  • Functional Analysis

National/ International Teaching/ Research Experiences

  • Dr D. S. Kothari Postdoctoral Fellow, IISc Bangalore (June 2019 -March 2022)
  • Postdoctoral Fellow, Weizmann Institute of Science, Israel (July 2017 -June 2019)
  • Postdoctoral Fellow, NISER Bhubaneswar (October 2016 -June 2017)
  • Visiting Scientist, ISI Kolkata (June 2016-September 2016)

Research Areas

  • Geometry of normed linear spaces
  • Greedy-type approximation algorithms

Current Research Interests:

  • Greedy-type approximation algorithms
  • Orthogonality relations in normed linear spaces

Publications/ Articles/ Cases

  • Jacek Chmielinski, Divya Khurana and Debmalya Sain, Local approximate symmetry of Birkhoff-James orthogonality in normed linear spaces, Results in Mathematics, 76(3) (2021), 1-26.
  • Divya Khurana and Debmalya Sain, Norm derivatives and geometry of bilinear operators, Annals of Functional Analysis, 12, 49 (2021). https://doi.org/10.1007/s43034-021-00134-9
  • Divya Khurana, Saikat Roy and Debmalya Sain, Symmetric points in spaces of linear operators between Banach spaces, Acta Scientiarum Mathematicarum (Acta Sci. Math. (Szeged)) 86 no. 3-4, (2020), 617–634.
  • Divya Khurana, Weight-partially greedy bases and weight-Property (A), Annals of Functional Analysis 11 no. 1, (2020), 101–117.
  • S.J. Dilworth and Divya Khurana, Characterizations of almost greedy and partially greedy bases, Jaen Journal on Approximation 11 no. 1-2, (2019), 115–137.
  • S. Dutta, C. R. Jayanarayanan and Divya Khurana, Ideal operators and relative godun sets, Extracta Mathematicae 34 (1), (2019), 1–17.
  • S. Dutta, D. Khurana and A. Sensarma, Representing matrices, M-ideals and tensor products of L_1-predual spaces, Extracta Mathematicae 33(1) (2018), 33-50.
  • S. Dutta and Divya Khurana, Ordinal indices of small subspaces of L_p, Mediterranean Journal of Mathematics 13(3) (2016), 1117-1125.

Awards

  • Dr. D.S. Kothari Postdoctoral Fellowship (2019-2022).
  • Postdoctoral Fellowships offered by Feinberg Graduate School, Weizmann Institute of Science, Rehovot, Israel (2017-2019).
  • Institute Postdoctoral fellowship offered by National Institute of Science Education and Research, Bhubaneswar (2016-2017).