Operator Theory, Survey Sampling

• B.SC (PHYSICS, CHEMISTRY, MATHEMATICS) , 1991-1994 , University of Delhi
• M.SC MATHEMATICS , 1994-1996 , University of Delhi
• M.PHIL MATHEMATICS , 1999 , University of Delhi
• P.HD MATHEMATICS , 2016 , University of Delhi

DR. GEETA KALUCHA

 A well-presented, self-motivated and confident mathematics faculty with rich experience of over twenty-three years of teaching undergraduate students. Specific teaching experience includes teaching papers like  Multivariate Calculus, Riemann Integration and Series of Functions, Probability Theory & Statistics, Modern Algebra, Linear Algebra, Real Analysis, Numerical Analysis, Discrete Mathematics, LaTex & HTML and  R Software.

Her research interests have included both Pure and Applied Mathematics topics in the areas of Operator Theory and Survey sampling. Her PhD Thesis titled ‘Mean estimation with optional RRT models using auxiliary information’ is based on original research work carried out under the supervision of Prof. B. K. Dass, Department of Mathematics, University of Delhi, Delhi (India) and Prof. Sat Gupta, Department of Mathematics and Statistics, University of North Carolina at Greensboro, Greensboro, North Carolina (USA).

North Carolina Chapter of the American Statistical Association presented her the Co-Best Graduate Student Presentation award at the International Conference on Interdisciplinary Statistics and Combinatorics held at UNC Greensboro, USA during October 10-12, 2014.

She has published research papers in reputed international and peer-reviewed journals. She has reviewed research papers in the area of survey sampling method for international journals. Has participated in international and national conferences along with paper presentations and delivered invited talks.

Mathematics

M.PHIL

 PARTICIPATION IN CORPORATE LIFE (2013-22)

1. Co-Convener of the Cultural Committee 2015-16
2. Convener of the Cultural Committee 2016-17
3. Teacher In- Charge of the Department of Mathematics for the academic session 2015-16, 2020-21
4. Member of the Admission committee for the Department of Mathematics for the academic session 2015-16,2018-19, 2020-21
5. Member of the IT infrastructure committee 2017 -2022
6. Member of the Canteen committee 2017-18, 2019-2020
7. Member of Women Development cell 2017-2022.
8. Member of Library Committee 2017-2021
9. Member IQAC –Internal quality assurance cell -2019-2021
10. Member of the Committee of Courses of Mathematics Department at the University of Delhi for undergraduate students. (2019 Onwards)
11. Member SAF Committee 2021-22
12. Member Sports Committee 2021-22

PhD Thesis titled Mean Estimation with Optional RRT models using auxiliary information

M.PHIL Thesis titled Hyponormal Toeplitz Operators

 LIST OF PUBLICATIONS:

1. Gupta, S., Kalucha, G., Shabbir, J. and Dass, B.K. (2014). Estimation of Finite Population Mean Using Optional RRT Models in the Presence of Non-sensitive Auxiliary Information. American Journal of Mathematical and Management Sciences, ISSN No. 0196-6324, Vol. no. 33(2), 147-159. UGC-CARE List Group II Scopus (Scopus Source List).
2. Kalucha, G., Gupta, S. and Dass, B.K. (2015). Ratio Estimation of Finite Population Mean Using Optional Randomized Response Models. Journal of Statistical Theory and Practice, ISSN No. 1559-8608, Vol. no. 9(3), 633-645. UGC-CARE List Group II, Web of Science (Science Citation Index Expanded), Scopus listed.
3. Kalucha, G., Gupta, S. and Shabbir, J. (2016) A Two-Step Approach to Ratio and Regression Estimation of Finite Population Mean Using Optional Randomized Response Models, Hacettepe Journal of Mathematics and Statistics) (Thomson Reuters Impact factor 0.679), ISSN NO. 1303-5010, Vol. No. 45(6), 1818-1830. UGC-CARE List Group II, Web of Science (Science Citation Index Expanded ), Scopus listed.
4. Gupta, S., Kalucha, G. and Shabbir, J. (2017) A Regression Estimator for Finite Population Mean of a Sensitive Variable Using an Optional Randomized Response Model, Communications in Statistics - Simulation and Computation) (Thomson Reuters impact factor: 0.651), ISSN NO. 0361-0918, Vol. No. 46(3), 2393-2405. UGC-CARE List Group II, Web of Science (Science Citation Index Expanded), Scopus listed.
5. Kalucha, G., Sousa, R., Gupta, S. and Shabbir, J. (2017) Improved Ratio and Regression Estimators of the Mean of a Sensitive Variable in Stratified Sampling, Statistics and Applications, ISSN NO. 2454-7395 (online), Vol. No. 15(1&2), 63-78. UGC-CARE List Group II, Web of Science (Science Citation Index Expanded)
6. Qi Zhang, Sat Gupta, Geeta Kalucha, Sadia Khalil (2019) Ratio Estimation of the Mean Under RRT Models. Journal of Statistics and Management Systems, Volume 22, 2019- Issue 1, 97-113 ISSN 2169-0014 (online) UGC-CARE List Group II, Web of Science (Science Citation Index Expanded)

CONFERENCE/ FACULTY DEVELOPMENT PROGRAMME ORGANIZED:  

1. MEMBER, ORGANIZING COMMITTEE during the One Week Faculty Development Programme on “Accounting Standards” held from 06th August till 12th August 2019 at the college premises PGDAV College, University of Delhi.
2. CO-CONVENER- National Conference on National Conference on Advances in Mathematical Analysis and Applications(NCMAA-2019) organised by the Department of Mathematics, P.G.D.A.V. College, University of Delhi, New Delhi, India during November 8-10, 2019.
3.  CONVENER- Two week(Online) Faculty Development Programme on “BIOMATHEMATICS” from 15th October till 28th October 2020 organized by the Department of Mathematics, P.G.D.A.V. College, University of Delhi, New Delhi in collaboration with Mahatma Hansraj Faculty Development Centre, Hansraj College, University of Delhi. A Centre of MHRD, Govt. of India under Pandit Madan Mohan Malaviya National Mission on Teachers and Teaching (PMMMNMTT).
4. CONVENER – 15 days online certificate course on “ Statistical Concepts and Ordinary Differential Equations in R” organized by the Department of Mathematics & IQAC, P.G.D.A.V. College from 26th July 2021 to 12th August 2021

INVITED TALKS/ PAPER PRESENTATIONS:

1. 67th Annual Conference of Indian Society of Agricultural Statistics on “Statistics and Informatics in Agricultural Research” organized by the Department of Farm Engineering, Institute of Agricultural Sciences, BHU during December 18-20, 2013 at Varanasi.
2. International Conference on Advances in Interdisciplinary Statistics and Combinatorics (AISC 2014), held at the University of North Carolina-Greensboro, USA during October 10-12, 2014.
3.  69th Annual Conference of Indian Society of Agricultural Statistics on “Statistics and Informatics in Agricultural Research” during December 14-16, 2015 at the University of Kota, Rajasthan.
4.  25th Silver Jubilee International Conference on Interdisciplinary Mathematics, Statistics and Computational Techniques (IMSCT 2016-FIM XXV) organized by the Department of Mathematics & Statistics, Manipal University Jaipur December 22-24, 2016.
5.  International Conference on Advances in Interdisciplinary Statistics and Combinatorics (AISC 2014), held at the University of North Carolina-Greensboro, USA from September 30-October 2, 2016.
6. Chaired the session “Sampling Theory and Methods” at the International Conference on Advances in Interdisciplinary Statistics and Combinatorics (AISC 2014), held at the University of North Carolina-Greensboro, USA from September 30-October 2, 2016.
7.  National Conference on Advances in Applied Mathematics and Statistics (NCAAMS-2017) organized by the Department of Mathematics, Mata Sundri College for Women, University of Delhi during 7-8 September 2017.
8.  International Conference on “Emerging Innovations in Statistics and Operations Research (EISOR-2018) held in the Department of Statistics. M.D. University, Rohtak during December 27-30,2018 in conjunction with the 38th Annual Convention of the Indian Society for Probability and Statistics (ISPS) & 4th Convention of the Indian Association for Reliability and Statistics (IARS).
9.  24th Annual Conference of SSCA (online) on “Recent Advances in Statistical Theory and Applications (RASTA-2022)” 23-27 February 2022 at ICAR- National Academy of Agricultural Research Management (ICAR-NAAR), Hyderabad.

My paper ‘Women Empowerment in India- Milestone and Challenges’ submitted at the 87th Orientation Programme, UGC- Academic Staff College, Jamia Millia Islamia is found interesting to be included in the anthologies on different thematic based on the term papers submitted by the participants in the Orientation and Refresher Courses organized by the ASC.