Title | Dr. | First Name | RANJANA | Last Name | JAIN | ||
---|---|---|---|---|---|---|---|
Designation | Associate Professor | ||||||
Department | Department of Mathematics | ||||||
rjain@maths.du.ac.in | |||||||
Webpage | |||||||
Phone.no | 01127666658 |
Employement Info | |||||||
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Employee Type | Nature Of Employment | ||||||
Teaching | Permanent |
Educational Qualifications | |||||||
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Degree/Certification Name | Institution | Year of Completion | |||||
Ph.D. - Ph.D. | University of Delhi | 2012 | |||||
M.Phil. | University of Delhi | 2005 | |||||
PG | University of Delhi | 2003 | |||||
UG | University of Delhi | 2001 |
Qualifications | |||||||
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Examination Name | Conducting Body | Date of Passing | |||||
NET | UGC-CSIR | 26-06-2003 |
Fellowship Details | |||||||
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Name Of Fellowship | Awarding Body | Fellowship Level | |||||
Junior Research Fellowship | UGC-CSIR | National |
Teaching Experience (Within Institution) | |||
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Designation | Duration | ||
Lecturer (Ad-Hoc) | 23-11-2004 To 22-11-2005 (11 months, 30 days) | ||
Lecturer (Temporary) | 24-11-2005 To 16-07-2006 (7 months, 22 days) | ||
Assitant Professor (Permanent) | 18-07-2006 To 19-03-2014 (7 years, 8 months, 1 days) | ||
Assistant Professor | 20-03-2014 To 20-03-2022 (8 years) | ||
Associate Professor | 21-03-2022 To 31-12-2023 (1 years, 9 months, 10 days) |
Research Supervision Overview | |||||||
---|---|---|---|---|---|---|---|
PhD Scholars Supervised | PhD Degrees Awarded | Theses Submitted | |||||
3 | 3 | 0 | |||||
M.Phil Scholars Supervised | M.Phil Degrees Awarded | M.Phil Theses Submitted | |||||
0 | 3 | 0 |
Research Publications | |||||||
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Title of Article | Type of Publication | Name of Journal | ISSN | Journal Volume | Year | Link to Article | DOI (Digital Object Identifier) |
Birkhoff-James orthogonality in certain tensor products of Banach spaces | Research Papers in Web of Science Listed Journals | Operators and Matrices | dx.doi.org/10.7153/oam-2023-17-17 | ||||
Spectral synthesis for the operator space projective tensor product of C*-algebras | Research Papers in UGC listed Journals | Bulletin Malaysian Math. Society | 0126-6705 | 36(4) | https://www.emis.de/journals/BMMSS/vol36_4_1.html | No DOI | |
Operator space tensor products of C*-algebras | Research Papers in Peer Reviewed Journals | Mathematische Zeitschrift | 260 | ||||
The operator space projective tensor product: embedding into the second dual and ideal structure | Research Papers in Peer Reviewed Journals | Proceedings of the Edinburgh Mathematical Society | 57 | ||||
Ideals in operator space projective tensor product of C*-algebras | Research Papers in Peer Reviewed Journals | Journal of the Australian Mathematical Society | 91 | ||||
Spectral synthesis for operator space projective tensor product of $ C\^{}* $-algebras | Research Papers in Peer Reviewed Journals | arXiv preprint arXiv:1108.3208 | |||||
On closed Lie ideals of certain tensor products of-algebras | Research Papers in Peer Reviewed Journals | Mathematische Nachrichten | 291 | ||||
On Banach space projective tensor product of $$ C\^{}* $$ C∗-algebras | Research Papers in Peer Reviewed Journals | Banach Journal of Mathematical Analysis | 14 | ||||
Closed ideals and Lie ideals of minimal tensor product of certain C*-algebras | Research Papers in Peer Reviewed Journals | Glasgow Mathematical Journal | 63 | ||||
Independent point-set dominating sets in graphs | Research Papers in Peer Reviewed Journals | AKCE International Journal of Graphs and Combinatorics | |||||
On closed Lie ideals of certain tensor products of C∗-algebras II | Research Papers in Peer Reviewed Journals | Mathematische Nachrichten | 293 | ||||
On closed Lie ideals and center of generalized group algebras | Research Papers in Peer Reviewed Journals | Journal of Mathematical Analysis and Applications | 502 | ||||
Automorphisms of the Banach space projective tensor product of $$ C\^{}* $$-algebras | Research Papers in Peer Reviewed Journals | Archiv der Mathematik | 114 | ||||
Centre of Banach algebra valued Beurling algebras | Research Papers in Peer Reviewed Journals | Bulletin of the Australian Mathematical Society | 105 |
Research Projects | ||||||
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Project Title | Project Type | Year Of Sanction | Outcome/Output | Duration | ||
A Study of Center and Closed Lie Ideals of Vector-Valued Beurling Algebras | Minor | 2020 | Research Article | 01-01-2020 To 31-03-2020 (2 months, 30 days) | ||
Closed Lie ideals of spatial tensor product of von Neumann algebras | Minor | 2015 | Research Article | 01-10-2015 To 30-09-2016 (11 months, 29 days) | ||
Closed Lie Ideals of Operator Space projective tensor Product of C ∗ -algebras | Minor | 2014 | Research Article | 01-11-2014 To 30-09-2015 (10 months, 29 days) | ||
Birkhoff James Orthogonality for tensor products of Banach spaces | Minor | 2022 | Research Article | 01-10-2022 To 31-03-2023 (5 months, 30 days) | ||
Best Approximation and orthogonality for the vector-valued integrable functions | Minor | 2023 | Research article | Ongoing since 30-09-2023 (1 years, 1 months, 22 days) |
Honors and Awards | |||||||
---|---|---|---|---|---|---|---|
Name of the Award | Awarding Body | Award Category | Level | Award Date | |||
Smt. Sivakama Radhakrishnan Gold Medal | University of Delhi | Academic | State/University Level | 28-02-2004 | |||
Research Grant G.0231.07 | Research Foundation Flanders (FWO), K.U.Leuven, Belgium | Research | International | 16-07-2009 | |||
Mukharji Ram Behari Prize for highest score in M.A. | St. Stephen's College | Academic | State/University Level | 14-07-2003 |
Talk Poster Presented | |||||||
---|---|---|---|---|---|---|---|
Name of the Activity | Role | Date of Activity | |||||
Ideal Structure of Operator Space Projective Tensor Product of C ∗ -algebras | Invited Talk | 09-01-2008 | |||||
Ideal Structure of Operator Space Projective Tensor Product of C ∗ -algebras | Oral Presentation | 22-04-2008 | |||||
Embedding Projective Tensor Product of C ∗ -algebras into Second Dual | Oral Presentation | 22-01-2009 | |||||
Operator Space Projective Tensor Product of C*-algebras | Oral Presentation | 30-09-2009 | |||||
The Effros-Ruan Conjecture for Bilinear Forms on C*-algebras | Oral Presentation | 23-10-2009 | |||||
Tensor Products of Operator Spaces | Oral Presentation | 26-07-2014 | |||||
On Certain Tensor Products of Operator Spaces | Invited Talk | 04-01-2015 | |||||
Closed Lie ideals of certain operator algebras | Oral Presentation | 30-06-2016 | |||||
The operator space projective tensor product: Embedding into bidual and its ideal structure | Invited Talk | 15-08-2016 | |||||
Ideals vs Lie ideals in Banach algebras | Invited Talk | 03-06-2018 | |||||
Mathematics Behind Google | Invited Talk | 20-02-2019 | |||||
Research Methodology in Mathematics | Invited Talk | 21-12-2019 | |||||
Linear Algebra Behind the Web Search | Invited Talk | 28-12-2020 | |||||
Linear Algebra Behind the Web Search | Invited Talk | 04-08-2021 | |||||
Research methodology in mathematics | Invited Talk | 09-09-2021 | |||||
Plagiarism | Invited Talk | 09-09-2021 | |||||
Lie Ideals of Certain Tensor Products of C*-algebras | Invited Talk | 18-12-2019 | |||||
Some applications of Perron Frobenious Theorem | Invited Talk | 19-02-2022 | |||||
Some applications of non negative matrices | Invited Talk | 14-03-2022 | |||||
Functions, Continuity and Differentiability | Invited Talk | 18-08-2022 | |||||
Hahn Banach Theorem and its applications | Invited Talk | 12-09-2022 | |||||
Creating e-content using open source tools | Invited Talk | 25-11-2022 | |||||
Lie ideals of certain Banach algebras | Invited Talk | 27-12-2022 | |||||
Centres of certain tensor products of Banach algebras | Speaker | 24-12-2023 | |||||
Centres of certain tensor products of Banach algebras | Speaker | 28-03-2024 |