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M.Phil:
1.Dinesh Kumar (2011),Thesis titled “Fatou's No Wandering Domain Conjecture: Sullivan's Proof” [arXiv:1101.5456]
2.Kushal Lalwani (2014) “Triangulation and Classification of 2-Manifolds” [ arXiv:1407.8478]
3.Naveen Gupta (2014) “ Injectivity in Higher Order Complex Domains”
4. Manisha Saini (2015) “Nevanlinna Theory and Normal families”
5. Mohd Vaseem (2021) " Dynamics of Rational Functions in the Extended Plane "
6. Akhil Kumar (2021) " Squeezing Functions on Planar Domains"
7. Simran Bedi (2022-) shifted to PhD programme
8. Hari Om (2022-) Shifted to PhD programme
Ph.D:
1.Dinesh Kumar (2016) “Semigroups of Transcendental Entire functions and their Dynamical Properties” [Working as Assistant Professor in BIT Mesra, Ranchi ]
2.Gopal Datt(2017) “ Normal Families in One and Several Complex Variables: Looking through Zalcman’s Lemma” [Working as Assistant Professor in the Department of Mathematics, Babasaheb Bhimrao Ambedkar University , Lucknow (A central University)
3. Poonam Rani (2021) " Normality for Famillies of Meromorphic Functions "
4. Kushal Lalwani (2021) " Topological Dynamics for Generalized Semigroup: Attractor, Recurrence and Escaping set "
5. Manisha Saini (2022) " The Growth of Solutions of Complex Differential Equations with Entire Coefficients " (working as Assistant Professor in Hansraj College (DU))
6. Ramanpreet Kaur (2017 - )[NBHM Research Fellow]
7. Sakshi Jain (2017-2019) (she got research fellowship for PhD in University of Rome, Italy)
8. Naveen Gupta (2019 - )
9. Garima Pant (2019 - )
10. Nidhi Gahlian (2020 - ) [Inspire Research Fellow]
11. Mohd Vaseem (2022-)
12. Akhil Kumar (2022-)
13. Rehan Ansari (2022-2023) Change of research supervisor
14. Hariom(2023-)
15.Simran Bedi(2023-)
16. Ashish Trivedi(2024-)(with Dr Gopal Datt (BBAU,Lucknow)
17. Rahul Gogoi(2024- )(with Dr Gopal Datt(BBAU,Lucknow)
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1995
1. Non-compactness of derivations on B (l^2), (with Nand Lal), J.Indian Math.Soc.(N.S.), Vol.61, No. 3-4, 255-259, 1995.(SCOPUS,UGC CARE LIST)
2005
2. Polynomial compactness of derivations, (with Nand Lal), J.Indian Math.Soc.(N.S.), Vol.72, No. 1-4, 211-220, 2005.(SCOPU, UGC CARE LIST)
3. A class of polynomially compact composition operators on disc algebra, (with Harish Chandra), Progr. Math. (Varanasi), vol. 39, No. 1&2, 9-17, 2005.(Peer reviewed)
2006
4. Compactness of generalized derivations, Proceedings of the national conferenceon mathematical techniques(MATIET 2006) , Allied Publishers, 30-33, 2006.
5. Polynomial derivations, (with Harish Chandra), Progr. Math.(Varanasi),vol. 40,No.1-2,109-118,2006.(Peer rviewed)
2012
6. Common fixed points of weekly compatible maps in symmetric spaces, (with Arvind Bhatt and Harish Chandra), Appl.Math.Sci. (Ruse) Vol.6 , No.53-56, pp. 2703-2710, 2012 (SCOPUS)
2014
7. On dynamics of composite entire functions and singularities, (with D. Kumar), Bull. Cal. Math. Soc. Vol. 106, No. 1, pp. 65-72, 2014. (UGC CARE LIST)
2015
8.Dynamics of composite entire functions,(with D. Kumar and G. Datt), J. Indian Math. Soc. (N.S.), Vol. 82, No. 3-4, 107-114, 2015.
9. The dynamics of semigroups of transcendental entire functions I, (with D. Kumar), Indian J. Pure Appl. Math. Vol. 46, Issue 1, pp. 11-24, 2015.
10. Normality and Sharing functions,(with G. Datt), Indian J. Pure Appl. Math. Vol. 46 , Issue 6, pp. 853-864, 2015.
2016
11. The dynamics of semigroups of transcendental entire functions II, (with D. Kumar), Indian J. Pure Appl. Math. Vol. 47, Issue 3, pp. 409 - 423, 2016.
12. A Normality Criterion for a Family of Meromorphic Functions , (with G. Datt), Monatsh. Math. Vol. 180, Issue 2, pp. 193-204, 2016.
13. On a Theorem of Schwick , (with G. Datt), Bull. Cal. Math. Soc. Vol.108, No.3, pp.225-234, 2016.
14. Normality and Montel’s Theorem , (with G. Datt), Arch. Math. Vol.107, Issue 5, 511-521, 2016 .
15. Some normality criteria , (with G. Datt), Turk J Math , Vol.40, No.6, 1258-1273, 2016.
16. Escaping Set and Julia Set of Transcendental Semigroups , (with D. Kumar and K K Poon) , Advances in Theoretical and Applied Mathematics, Vol. 11, Number 4, 423 - 436, 2016.
2017
17. Escaping sets of e^z -1, (with Dinesh Kumar) Thai J. Math., Vol.15, No.2, 517-522, 2017.
18. Semigroups of transcendental entire functions and their dynamics,(with D. Kumar) Proceedings-Mathematical Sciences, Vol. 127, Issue 2, 349-360, 2017.
2019
19. A criterion for Quasinormality in C^n, (with Gopal Datt) Proceedings-Mathematical Sciences (Springer), Vol. 129, Issue 1, 2019.
20.On Solutions of Second Order Complex Differential Equations, (with Dinesh Kumar and Manisha Saini)Bull. Cal. Math. Soc. , 111 (4), 331-340, 2019
2020
21.On Zeros and Growth of Solutions of Second Order Linear Differential Equations, (with Manisha Saini) Commun. Korean Math. Soc. 35 No 1, 229-241, 2020
22 Normality criteria for families of meromorphic functions (with Poonam Rani) Indian J. Pure Appl. Math.51,Issue 2, 579-588, 2020
2021
23. Order and Hyper-order of Solutions of Second Order Linear Differential Equations (with Manisha Saini) B Malays Math Sci So, Vol 44, Issue 2, 1035-1056, 2021 ( https://doi.org/10.1007/s40840-020-00993-s)
2022
24.d-balanced Squeezing Function (with Naveen Gupta) accepted for publication in Complex Variables and Elliptic Equations. 2021(https://doi.org/10.1080/17476933.2021.2007380)
25. Squeezing function corresponding to polydisk (with Naveen Gupta), Complex Analysis and its Synergies 8, 12 (2022). https://doi.org/10.1007/s40627-022-00100-8
Communicated/ preprints
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(with D. Kumar), A note on Schwarzian derivatives and Normal families [arXiv:1210.7920]
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(with P. Rani) Normality Criteria for Families of Meromorphic Functions about Shared Functions [ arXiv:1906.02966 ].
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(with K. Lalwani), Attractors and chain recurrence in noncompact spaces for generalized semigroup, [Communicated]
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(with Garima Pant) Entire Solutions of certain Non-linear Differential-Difference Equations [arXiv:2107.13933]
!994
My Thesis : Polynomial Compactness of Operators and Induced Derivations
https://drive.google.com/file/d/1ly1xDsI-fAHm99273XXGurBiCnvoTAsO/view?usp=sharing
ORCID ID:
https://orcid.org/0000-0002-4947-2813
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Conference on Functional Analysis and Linear Algebra, ISI, Delhi Centre, Stat. & Math.
Unit (January 3-7, 2000)
Instructional School on Linear Algebra, Punjab University, Chandigarh (December, 2000)
Workshop on Banach Algebras and International conference on Analysis, Sardar Patel University,
Vallabh Vidya Nagar, Gujarat (2002)
Joint India-AMS Meeting, IISc-ISI, Bangalore (December 2003)
Conference on Functional Analysis and its Applications, Sardar Patel University, Vallabh Vidya
Nagar, Gujarat (March 2005)
Quasiconformal Mappings and Their Applications (IWQCMA 05), IIT Madras, Chennai (December
27, 2005- January 1, 2006)
International Workshop on Teichmuller Theory & Moduli Problems, Harish Chandra Research
Institute (HRI), Allahabad (January 5, 2006-15, 2006)
Annual Foundation School II (ATM) NBHM, BIM and Pune University, Pune, June 1-28, 2006
(as associate teacher)
Advanced Instructional School on Differential Geometry and Lie groups (ATM) NBHM, BIM and
Pune University, Pune, December 4-28, 2006 (as associate teacher)
Workshop on the geometry and topology of low-dimensional manifolds: Poincare conjecture and
Teichmuller theory, Department of mathematics and Bhaskaracharya Pratishthan, Pune, 2nd – 16th
January, 2008.
Compact course on dynamics in Higher Dimensions by Nessim Sibony, Department of Mathematics, IISc, Bangalore , 21st Dec, 2008-6th January,2009.
ATM School for Lecturers in Complex Analysis, 16th March 2009 - 4th April 2009, Department of Mathematics, University of Delhi. (organiser)
ATM School for Lecturers in Real Analysis, 22nd March 2009 -3rd April 2010, Department of Mathematics, University of Delhi. (organiser)
ATM Workshop on Several Complex Variables and Complex Dynamics,1st March,2010-13th March,2010, Department of Mathematics, IISc, Bangalore.
ATM School for Lecturers in Geometric Complex Analysis,21st March 2011 -2nd April 2011, Department of Mathematics, University of Delhi. (organiser)
Kyoto Symposium on Complex Analysis in Several Variables XIV, 19-22 July,2011, Kyoto University, Kyoto,Japan (participated)
Instructional school for Lecturers on Differential Geometry, 21 May-9 June, 2012, CEMS, Kumaun University, Almora(organizer)
Almora Mathematical Surveys, NCM School, 3rd October-6th October, 2012, CEMS, Kumaun University, Almora(organizer)
ICTS Discussion Meeting and Conference ( Groups, Geometry and Dynamics), 3rd December-16th December, 2012, CEMS, Kumaun University (organiser)
Geometric Aspects in Modern Dynamics, 11th January 2016 - 15th January 2016, University of Porto (Portugal) (participated)
International Workshop and Conference ( Complex Analysis: Geometric and Dynamical Aspects), 14th November -19th November, 2016, CEMS, Kumaun University (organiser)
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