Assistant Professor | Department of Mathematics Contact (Off.): +91-11-27667458 Email Address : jbhola.24@gmail.com

Specialization

Functional Analysis (Operator Theory)

Educational Qualifications
Ph.D. , 2010 , University of Delhi

M.Phil. , 2007 , University of Delhi

M.A. , 2005 , St. Stephenâ€™s College, University of Delhi

B.A. , 2003 , Janaki Devi Memorial College, University of Delhi

Subjects taught

UG level:

- Real Analysis
- Calculus
- Differential equations and Mathematical modeling
- Algebra (Rings and Vector spaces)

PG level: Functional Analysis

Thesis

Generalized Slant Hankel Operators, March 2010 (Awarded)

Books

- Authored an e-lesson entitled “Automorphism groups, characteristic subgroups and commutator subgroup” for the paper C12 (Group Theory II- Algebra IV) published by ILLL, University of Delhi (ISSN: 2349-154X, ISBN: 978-93-86264-07-7, Published in January 2017).
- Authored a chapter entitled “The Konigsberg Bridge Problem: A Matrix Approach” in Topics in Mathematical Sciences, published by CPDHE, University of Delhi in 2017 (ISBN: 978-81-93451-96-0).
- A Comprehensive Textbook of Mathematics for Class XII- Volume 1, March 2018, (ISBN: 9789387702462), Taxmann Publications (P.) Ltd., India.
- A Comprehensive Textbook of Mathematics for Class XII- Volume 2, April 2018, (ISBN: 9789387702745), Taxmann Publications (P.) Ltd., India.

Journals Articles

1. Essentially slant Hankel operators, Bulletin of the Malaysian Mathematical Sciences Society, Vol. 31, No. 2(2008), 165–173.

2. Generalized essentially slant Hankel operators, International Journal of Pure and Applied Mathematics, Bulgaria, Vol. 47, No. 2(2008), 165–173.

3. k th-order slant Hankel operators, Mathematical Sciences Research Journal, USA, Vol. 12, No. 3(2008), 53–63.

4. The compression of a k th-order slant Hankel operator, Ganita, India, Vol. 59, No. 1(2008), 1–11.

5. Essentially slant Toeplitz operators, Banach J. Math. Anal., Iran, Vol. 3, No. 2(2009), 1–8.

6. Spectrum of a k th-order slant Hankel operator, Bulletin of Mathematical Analysis and Applications, Vol.3, Issue 2 (2011), 175-183.

7. Weyl’s theorem for a class of operators, Int. J. Contemp.Math. Sciences, Vol.6 (2011), No. 25, 1213-1220.

8. Essentially λ -Hankel operators, Journal of Mathematics, Vol.2013, Article ID 865396, 5 pages.

Conference/ Symposium etc. Paper Presented

1. Presented a paper entitled “Essentially Slant Toeplitz operators” in International Conference on Operator Theory and Related Areas held at the Department of Mathematics, University of Delhi, during January 9-12, 2008.

2. Presented a paper entitled “To teach is to learn twice- An article on innovative teaching in Mathematics”in International Conference on Innovating Education in Asia held at Hans Raj College, University of Delhi, during Oct 31- Nov 02, 2015.

Workshop/ Conference/ Symposium ATTENDED

1. Participated in the National Symposium on Recent Advances in Optimization Theory and Applications held during Oct 27-28, 2006 at Academic Research Center, University of Delhi.

2. Participated in the three-day UGC National Seminar on “21st Century Renaissance: Transformation in Technology and Life” held at Delhi College of Arts and Commerce during April 2-4, 2007.

3. Participated in the National Workshop on Analysis held at the Department of Mathematics,University of Delhi, during Sep 27-28, 2007.

4. Participated in International Conference on Operator Theory and Related Areas held at the Department of Mathematics, University of Delhi, during January 9-12, 2008. • Was a member of Academic Programme and Publication Committee in the conference. • Presented a paper entitled “Essentially Slant Toeplitz operators” in the same.

5. Participated in Advanced Training in Mathematics for Lecturers (ATML) in Real Analysis held at the Department of Mathematics , University of Delhi,during March 22- April 3, 2010.

6. Participated in the National Workshop on ‘Differential Equations, Computing and Modelling’conducted at the Department of Mathematics, University of Delhi, during Dec 20-24, 2010.

7. Participated in International Conference on Innovating Education in Asia held at Hans Raj College, University of Delhi, during Oct 31- Nov 02, 2015. • Presented a paper entitled “To teach is to learn twice- An article on innovative teaching in Mathematics”.

8. Participated in the seven days Workshop on ‘Integrating ICT (Information and Communication Technology) in Teaching and Learning’ held at Hans Raj College, University of Delhi, during Dec 11-18, 2015.

9. Participated in the DBT-sponsored seminar on ‘Physics of stars’ held at Hans Raj College, University of Delhi, on April 1, 2016.

10. Coordinated a one day workshop on LaTeX organized by the Department of Mathematics, Hans Raj College, University of Delhi, on April 9, 2016.

11. Participated in Capacity Building Workshop on e-content creation in Mathematics held at ILLL, University of Delhi, on October 28, 2016.

12. Organized a seminar on “Management skills in office administration-Practices and Advances” for the non teaching staff of colleges of Delhi University under IQAC, Hansraj College during Nov 22-23, 2016.

13. Participated as a judge for slogan competition on World Water Day held on March 22, 2017 at Hansraj College, University of Delhi.

14. Participated in the seminar on "Radiation hazards and monitoring-techniques and materials" organized at the Department of Physics and Electronics, Hansraj College on April 10, 2017.

15. Participated in Faculty Development Programme on “Digital Literacy: An introduction to ICT skills” at Department of Physics and Electronics, Hansraj College during Sep 15-17, 2017.

16. Coordinated the fourth Self- Defence Winter Camp conducted by Self Defence Wing of Special Police Unit For Women and Children from December 12, 2017 to January 11, 2018 at Hansraj College, University of Delhi.