Department of Mathematics

Faculty Highlights

  • Dr. Rashmi Verma published a book titled “Repeated Burst Error Detecting and Correcting Codes” by Lambert      Academic Publishing (LAP) Germany 2018.
  • Dr. Meena Baweja, Dr. Pooja Sharma, Dr. Karuna Mamtani, Dr. Preeti and Dr. Ramita Sahni were awarded Ph.D. degree      in University Convocation in November 2017.

International Publications:

  • B.K. Dass and Rashmi Verma, Construction of m-repeated burst error detecting and correcting non-binary linear codes, Accepted for publication in Applications and Applied Mathematics: An International Journal (AAM).
  • Preeti Luthra, Ajay Kumar and Vandana Rajpal, Polynomials in Operator Space Theory: Matrix Ordering and Algebraic Aspects, Positivity, 22(2): 629-652, 2018, Springer International Publishing (Switzerland).
  • B.K. Dass, Namita Sharma and Rashmi Verma, Perfect codes in poset spaces and poset block spaces, Finite Fields and Their Applications, Vol. 42, 90-106, 2017.
  • B.K. Dass, Namita Sharma and Rashmi Verma, Perfect codes in poset block spaces, Asian-European Journal of Mathematics, Vol. 10, no. 1, 1750005 (12 pages), 2017.
  • A. Gupta and P. Sharma, Weighted fractional differentiation composition operators from mixed-norm spaces to Zygmund spaces, Asian-European Journal of Mathematics, 10(2017), 12 pages.
  • A. Gupta and P. Sharma , Isometric composition operators on the Fock spaces, Operators and Matrices, 11(2017), 587-592
  • Preeti Luthra and Ajay Kumar, Embeddings and C_-envelopes of Exact Operator Systems, Bull. Aust. Math. Soc., 96(2): 274-285, 2017, Cambridge Univ. Press (England).MR3703909, Zbl 067920443.
  • A. Gupta and K. Mamtani, “Variants of Weyl's Theorem for Direct Sums of Closed Linear Operators”, Advances in Operator Theory, 2 (no. 4), 2017, pp.409-418.Online ISSN 2538-225X
  • A. Gupta and K. Mamtani, “Weyl-Type Theorems for Unbounded Class-A Operators”, Afrika Matematika, 28, 2017, pp.745-754. ISSN: 1012-9405 (print version) ISSN: 2190-7668 (electronic version)
  • A. Gupta and K. Mamtani, “Weyl-Type Theorems for Unbounded Posinormal Operators”, Journal of Contemporary Mathematical Analysis, 52 (no. 4), 2017, pp. 191-197. ISSN: 1068-3623 (print version) ISSN: 1934-9416 (electronic version
  • Vijay Kumar, P.K. Kapur, Naman Taneja, and Ramita Sahni (2017) “On Allocation of Resources during Testing Phase Incorporating Flexible Software Reliability Growth Model with Testing Effort under Dynamic Environment”, International Journal of Operational Research, Vol 30, No. 4, pp. 523-539, ISSN 1745-7653 (Online), ISSN 1745-7645 (Print). DOI:10.1504/IJOR.2018.10002540.
  • Vijay Kumar and Ramita Sahni “Dynamic Testing Resource Allocation Modeling for Multi Release Software using Control Theory and Genetic Algorithm”, Computational Management Science, 2017. (Communicated)
  • A. Gupta and P. Sharma, (α,β)-normal composition operators, Thai Journal of Mathematics, 14(2016), 83-92
  • Ved Prakash Gupta and Preeti Luthra, Operator System Nuclearity via C_-envelopes, ,J. Aust. Math. Soc., 101(3): 356-375, 2016, Cambridge Univ. Press (England).MR3570079, Zbl 1368.46044
  • A. Gupta and K. Mamtani, “ Weyl-Type Theorems for Adjoints of Unbounded Operators with Ascent 0 or 1”, Journal of Advanced Mathematical Studies, 9 (no. 3), 2016, pp. 420-428. Print ISSN 2065-3506 Online ISSN 2065-5851
  • Vijay Kumar, Paridhi Mathur, Ramita Sahni and Mohit Anand (2016) “Two-Dimensional Multi-Release Software Reliability Modeling for Fault Detection and Fault Correction Processes”, International Journal of Reliability, Quality and Safety Engineering, Vol. 23, No. 3, pp. 1640002 (15 pages), DOI: 10.1142/S0218539316400027, ISSN 1929-5812 (Online), ISSN 0218-5393 (Print).
  • Vijay Kumar, Ramita Sahni and A.K. Shrivastava (2016) “Two-Dimensional Multi-Release Software Modeling with Testing Effort, Time and Two Types of Imperfect Debugging”, International Journal of Reliability and Safety, Vol. 10, No. 4, pp. 368-388 ISSN 1479-3903 (Online), ISSN 1479-389X (Print)
  • B.K. Dass, Namita Sharma and Rashmi Verma, The packing radius of a poset block code, Discrete Mathematics, Algorithms and Applications (World Scientific), Vol. 7, No. 4 , 2015.
  • Meena Baweja and Dr. Ratnesh R. Saxena, Solving Portfolio optimization Problems with Structured Products, International Journal of Pure and Applied Mathematics, 93, 2014, pp. 147-154, ISSN 1311-8080, DOI: http://dx.doi.org/10.12732/ijpam.v93i1.12. (h-index:17)
  • Meena Baweja and Ratnesh R. Saxena, Portfolio optimization with Structured Products Under Return Constraint, Yugoslav Journal of Operational Research, 25, 2015, pp. 221-232, ISSN 0354-0243, DOI:10.2298/YJORI30803002B. (h-index:14)
  • Meena Baweja , Ratnesh R. Saxena and Deepak Sehgal, Portfolio Optimization using Conditional Sharpe Ratio, International Letters of Chemistry, Physics and Astronomy, 53, 2015, pp. 130-136, ISSN 2299-3843, DOI:10.18052/www.scipress.com/ILCPA.53.130.
  • Meena Baweja , Ratnesh R. Saxena and Deepak Sehgal, Optimal Investment problem with Option, International Journal of Applied Mathematics, 28, 2015, pp. 363-376, ISSN 1311-1728, DOI: http://dx.doi.org/10.12732/ijam.v28i4.5.
  • A. Gupta and P. Sharma, k-*paranormal composition operators, International Mathematical Forum, 8(2013), 433-Composition operators on double sequence spaces defined by a modulus, Acta Sci. Math. (Szeged), 81(2015)
  • A. Gupta and K. Mamtani “Weyl-Type Theorems for Restrictions of Closed Linear Unbounded Operators”, Acta Universitatis Matthiae Belii, series Mathematics, 23, 2015, pp. 87-94. Printed edition ISSN 1338-712X
  • A. Gupta and K. Mamtani ,“Weyl-Type Theorems for Unbounded Hyponormal Operators”, Kyungpook Mathematical Journal, 55 (no. 3), 2015, pp. 531-540. pISSN : 1225-6951 (Print), eISSN : 0454-8124(Online).
  • Vijay Kumar and Ramita Sahni (2015) “Predicting Bugs and Release Time of Bugzilla OSS: An Information Theoretic Approach”, Communications in Dependability and Quality management: An International Journal Vol.18 (4), pp.20-32.
  • 2014
  • B.K. Dass and Rashmi Verma, Construction of m-repeated burst error correcting binary linear code, Discrete Mathematics, Algorithms and Applications (World Scientific), Vol. 4, No. 3 , 2012.
  • B.K. Dass and Rashmi Verma, Bounds for 2-repeated low-density burst error correcting codes, Learning Manual of Workshop on Optimization and Information Theory with their Applications, JUET, Guna, 24-27 March, pp. 89-123, 2011.
  • B.K. Dass and Rashmi Verma, Repeated low-density burst error detecting codes, Journal of the Korean Mathematical Society, Vol. 48(3), pp. 475-486, 2011.
  • B.K. Dass and Rashmi Verma, On 2-repeated burst error detecting codes, Journal of Statistical Theory and Practice (U.S.A.), Vol. 3, No. 2, pp. 381-391, 2009.
  • B.K. Dass and Rashmi Verma, Repeated burst error detecting linear codes, Ratio Mathematica - Journal of Applied Mathematics (Italy), Vol. 19, pp. 25-30, 2009.
  • B.K. Dass and Rashmi Verma, Repeated burst error correcting linear codes, Asian-European Journal of Mathematics (World Scientific), Vol. 1, No. 3, pp. 303-335, 2008.

Paper Presentaions/Contributory Talks

  • Dr. Meena Baweja presented a paper ‘Portfolio optimization with option : a case study ‘in National Conference on Advances in Applied Mathematics and Statistics organized by Department of Mathematics, Mata Sundri College for Women , University of Delhi during 7-8 September , 2017.
  • Dr. Preeti gave a contributory talk entitled “Polynomials in Operator Space Theory: Matrix Ordering and Algebraic Aspects” at International Workshop on Recent Advances in Operator Semigroups held at Department of Mathematics, University of Delhi on Dec 18, 2017
  • Dr. Preeti presented a paper entitled “Nuclearity Properties and C∗-envelopes of Operator System Inductive Limits” at Research Scholar Seminar and Annual Conference of Mathematical Society(Delhi) on May 2, 2017 Department of Mathematics, University of Delhi
  • Dr. Preeti gave a contributory talk entitled “Embeddings and C*-envelopes of Exact Operator Systems” at Great Plains Operator Theory Symposium, (GPOTS 2016) held at University of Illinois, Urbana-Champaign on May 23, 2016
  • Dr. Preeti presented a paper entitled “Operator System Tensor Products and Nuclearity”, National Seminar for Research Scholar.Department of Mathematics, University of Delhi on Feb 24, 2015
  • Dr. Karuna Mamtani presented a paper “Weyl-type theorems for Unbounded Hyponormal operators” in the Research Scholar Seminar organised by the Department of Mathematics, University of Delhi during February 23-24, 2015.
  • Dr. Ramita Sahni presented a research paper entitled,” Time and Testing Effort Based Modeling of Multi Version of a Software Under Imperfect Debugging” in Seventh International Conference on Quality, Reliability, Infocom Technology and Business Operations (Trends and Future Directions) held during 28th-30th December, 2015 at Conference Centre, University of Delhi, Delhi-110007
  • Dr. Ramita Sahni presented a research paper entitled, “Prototype Evidence for Estimation of Release Time for Open Source Software using Shannon Entropy Measure” in Fifth International Conference on Soft Computing for Problem Solving held during 18th – 20th December, 2015 at Saharanpur Campus of Indian Institute of Technology Roorkee.
  • Dr. Ramita Sahni presented a paper titled “Comparative study of bug prediction Modeling using certain Entropy Measures” in “International Conference on Emerging Trends in Science and Cutting Edge Technology” held on 28th September, 2014 at YMCA, Connaught Place, New Delhi.
  • Dr. Pooja Sharma presented the work on “Composition Operators” in the National Seminar for Research Scholar held at the Department of Mathematics, University of Delhi during September 20-21, 2013
  • Dr. Meena Baweja presented a paper ‘Portfolio optimization with structured products under return constraint ‘in International Conference on Optimization Modelling and Applications held at Convention Centre (VPCI), University of Delhi during November 29th – December 01st, 2012.
  • Dr. Rashmi Verma paper presentation in Research Scholars’ Seminar held at Department of Mathematics, University of Delhi from March 18-19, 2010.
  • Dr. Rashmi Verma Paper presentation in Research Scholars’ Seminar held at Department of Mathematics, University of Delhi from January 22-23, 2009.
  • Dr. Rashmi Verma presentated a paper in Research Scholars’ Seminar held at Department of Mathematics, University of Delhi from March 31-April 2, 2008
  • Dr. Rashmi Verma presentated a paper in National Meet of Research Scholars in Mathematical Sciences held at Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur from October 30 - November 3, 2007.
  • Dr. Rashmi Verma presentated a paper for young scientist award of 96th Indian Science Congress held at North Eastern Hill University, Shillong on October 17, 2008.
  • Dr. Rashmi Verma presentated a paper in National Meet of Research Scholars in Mathematical Sciences held at Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur from October 30 - November 3, 2007.