Cosmology is the study of large scale structure and evolution of the Universe as a whole. It endeavors to use the theoretical and observational method to understand the origin, evolution and ultimate fate of the entire Universe. Like any other field of science, cosmology also involves the formation of theories or hypotheses about the Universe which makes specific predictions for phenomena that can be tested with observations. In the last few years it has entered a qualitatively new phase, driven by experimental results. Depending on the outcome of the observations, the theories need to be abandoned, revised or extended to accommodate the data. The prevailing theory about the origin and evolution of our Universe is the so-called Big Bang theory. The quest for understanding the geometry and space time relationship of the Universe is the central aim of cosmology. Cosmologists propose that the history of the Universe has been governed entirely by physical laws. There are two fundamental pillars of the modern Cosmology: General Theory of Relativity and Cosmological Principle.

My current research interest are the Gravitation and Cosmology, especially in understanding the recent acceleration of the Universe and dark energy.  I have also been working on Viscous and matter creation cosmology, modifed theory of gravitation, like, f(R) gravity, f(R,T) gravity, Scalar -tensor theories, etc. 

Details of my Ph.D. work:

• Title of Thesis: A Study of Homogeneous Models of Early Universe in General Relativity and Scalar-Tensor Theories.
• Supervisor: Prof. ShriRam, Department of Applied Mathematics, Institute of Technology (Now, IIT), Banaras Hindu University, Varanasi.

Other Area of Interest: Tensor Calculus, Differential equations.

Teaching level:

• Teaching various courses at Under Graduate and Post Graduate levels since 1997.

Total teaching experience:           25 years

Total research experience:           23 years

 Supervision of Ph.D. Scholars ( Independent ):  

1. Suresh Kumar (PhD Degree Awarded, 2010), PhD Thesis title: Study of Homogeneous Relativistic Models using Variation of Cosmological Parameters.

2. Vijay Singh (Ph.D. Degree awarded , 2016), PhD Thesis title: Study of cosmological models in modified theories of gravitation.

3. Pankaj Kumar (Ph.D. Degree awarded , 2017),  PhD Thesis title: A Study on accelerating cosmological models of the universe.

4. Milan Srivastava (Ph.D. Degree awarded, 2018), PhD Thesis title: Dark Energy Phenomena in Cosmology.

5. Ajay Kumar (Ph.D. Degree awarded, 2021),  PhD Thesis title: Study of Viscous and Matter creation effects in Cosmology.

6. Simran Kaur (Ph.D. Degree awarded, 2023), PhD Thesis Title: A study on Cosmological Models in General Relativity and Modified Gravity Theories.

7. Vinita Khatri, registered in Winter session of 2020-21[SRC completed, 2022]

8. Yogesh Bhardwaj, registered in  Winter session of 2021-22 [SRC completed, 2023]

9. Lokesh Chander, registered  in Summer session of 2023-24 [Course work]

Abroad Visited:

•   Visited University of Zululand, South Africa for a collaborative work with Prof. A. Beesham, H.O.D., Department of Mathematical Sciences, during  2 June – 17 June, 2010.
•   Visited Kwazulu-Natal University, Durban, South Africa for a collaborative work with Prof. S.D. Maharaj, Department of Mathematical Sciences, during 18 June – 11 July, 2010.

Membership of Professional Bodies: 

• Life –Member, Indian Association for General Relativity and Gravitation (IAGRG).
• Life –Member, Astronomical Society of India (ASI).
• Member, The Indian Science Congress Association for 2006-07.
• Life-Member, Indian Mathematical Society, India.
• Life-Member, The Tensor Society of India, India.
• Fellow of Royal Astronomical Society (FRAS), UK

Seminar / workshop/ short -term course organized:

1.    Member to organize Staff Development Porgramme  during 7-18 December, 2009.

2.    Coordinator to organized a popular talk on “ Biography of Dr. S. Chandrashakhar”  by Prof. A. Beesham, Department of Mathematical Sciences, University of Zululand, South Africa  on July 05, 2011 during his visit June 30- July 14, 2011.

3.    Coordinator to organize a Seminar –cum –Workshop on Mathematics and Computing on March 22, 2012.

4.   Coordinator to organize a popular talk on "Introduction to Black Holes" delivered by Prof. A. Beesham, Department of Mathematical Sciences, University of Zululand, South Africa on April 30, 2014 during his visit April 26 - May 05, 2014.

5.   Co-coordinator to organize two weeks Short TermTraining Programme on " Advances on Web Desigining Techniques"  during Julu 14- 25, 2014.

6.   Co-cordinator to organize Faculty Development Programme on “Statistical Methods & a brief on LaTex” during July 18-22, 2016 .

7.  Coordinator to organize a popular talk on "Cosmology: History, Milestones and Missing Opportunity" delivered by Prof. A. Beesham, Department of Mathematical Sciences, University of Zululand, South Africa on January 5, 2017 during his visit Decemeber 31, 2016 - January 07, 2017.

8. Organsing Secretary to organize "International Conference on Recent Advances in Pure and Applied Mathematics" during October 23-25, 2018.

9.  Member to organise Short Term Training Programme (STTP) on " Recent Trends in Security and Cryptography", during November 18 - 22, 2019.

10.  Co-Coordinator to organise Short -term Training Programme (STTP) on " Graph Theory and its Applications", during November 25 - 29, 2019.

11.  Coorindinator to Organized a popular talk on "Role of Spacetime Dimensions"  delivered by Prof. Sunil Maharaj, Department of Mathematics, Statistics and Computer Sciences, University Kwazulu Natal, Durban, South Africa on 05.01.2023.

 Publications in National and International refereed Journals: 

1. Yogesh Bharwdaj and C P Singh, " Matter Creation Cosmology with Generalized  Chaplygin Gas", Astrophysics and Space Science (Springer), 369, Article 2 (2024), DOI:  10.1007/s10509-024-04267-w,  SCI, IF: 1.90
2. C.P. Singh and Vinita Khatri, " Viscous fluid dynamics with decaying vacuum energy density", Physical Review D (American Physical Society), 109, 023508 (2024), DOI: 10.1103/PhysRevD.109.023508,  SCI, IF:5.000
3. Vinita Khatri and C.P. Singh, " Brans-Dicke cosmology with cosmological term $Lambda(H)=c_0+3 u H^2$" , Physics of the Dark Universe (Elsevier), 42, 101300 (2023), DOI:10.1016/j.dark.2023.101300, SCI, IF:  5.50
4. Javier de Cruz Perez, Joan Sola Peracaula and C.P. Singh, "Running vacuum in Brans-Dicke theory: a possible cure for the sigma_8 and H_0 tensions" arXiv:2302.04807 (2023)
5. Vinita Khatri and C.P. Singh, "Constraining the time -varying vacuum  energy models in Brans-Dicke theory" , Astrophysics and Space Science (Springer), 368, Article 16,  (2023).DOI: 10.1007/s10509-023-04173-7 , SCI, IF: 1.80
6. Simran Kaur and C.P. Singh, " Viscous cosmology in holographic dark energy with Granda-Oliveros cut-off",  Communications in Theoretical Physics (IOP Science), 75, 025401, (2023).DOI 10.1088/1572-9494/aca651, SCI, IF: 2.877
7. Simran Kaur and C.P. Singh, " Evolution of holographic dark energy model with adaibatic matter creation, Modern Physics Letters A  (World Scientific), 37(24), 2250161 (2022) . DOI:10.1142/S0217732322501619 ,SCI, IF:1.4
8. C.P. Singh and Joan Sola Peracaula, " Friedmann cosmology with decaying vacuum density in Brans-Dicke theory", European Physical Journal C (Springer), 81, 960 (2021). DOI: 10.1140/epjc/s10052-021-09765-7 , SCI, IF:4.4
9. Simran Kaur and C.P. Singh, "Constraints on holographic dark energy model with matter creation in Brans-Dicke theory and thermodynamic analysis", Physics of the Dark Universe  (Elsevier), 33, 100869 (2021), DOI: 10.1016/j.dark.2021.100869 SCI,  IF: 5.50
10. Ajay Kumar and C.P. Singh, "The generalized second law of thermodynamics in viscous Ricci dark energy model", European Physical Journal Plus (Springer), 136, 820 (2021), DOI:10.1140/epjp/s13360-021-01821-1. SCI, IF: 3.4
11. C.P.Singh and Milan Srivastava, "New holographic dark energy model with bulk viscosity in modified f(R,T) gravity,"  Indian Journal of Physics (Springer), 95(3), 531-542 (2021), DOI: 10.1007/s12648-019-01663-9. SCI, IF: 2.0
12. C. P. Singh and Ajay Kumar, "Holographic dark energy, matter creation and cosmic acceleration",  Physical Review D (American Physical Society),  102, 123537 (2020), DOI: 10.1103/PhysRevD.102.123537 SCI,  IF: 5.0
13. Ajay Kumar and C.P. Singh, " Viscous Ricci  dark energy model with matter creation: exact solution and observational tets, Pramana Journal of Physics (Springer), 94, 129 (2020), DOI: 10.1007/s12043-020-01996-9.  SCI, IF:2.8
14. Ajay Kumar and C.P. Singh, " Observational constraints on holographic dark energy model with matter creation", Astrophysics and Space Science (Springer), 365, 84 (2020), DOI: 10.1007/s10509-020-03799-1 ,SCI, IF: 1.80
15. C.P. Singh and Ajay Kumar, "Quintessence behavior via matter creation cosmology",  European Physical Journal C (Springer), 80, 106  (2020), DOI:10.1140/epjc/s10052-020-7679-2 SCI, IF: 5.5
16.  C.P.Singh and Simran Kaur, "Probing bulk viscous mattter dominated model in Brans-Dicke theory", Astrophysics and Space Science  (Springer), 365, Article 2, (2020), DOI:10.1007/s10509-019-3713-y  SCI, IF: 1.8
17. C.P.Singh and Simran Kaur "Matter creation cosmology in Brans-Dicke theory: Observational tests and thermodynamic analysis", Physical Reveiw D (American Physical Society), 100, 084057 (2019), DOI:10.1103/PhysRevD.100.084057 SCI, IF: 5.0
18. C.P. Singh and Amit Kumar, "Observational constraints on viscous Ricci dark energy model" , Astrophysics and Space Science: 364, 94 (2019), DOI:10.1007/s10509-019-3583-3
19. C.P. Singh and Ajay Kumar, "Holographic Ricci dark energy with constant bulk viscosity in modified $f(R, T)$ gravity"  Gravitation and Cosmology: 25, Issue 1, 58-68, (2019) , DOI:10.1134/S0202289319010109
20. C.P. Singh and Ajay Kumar, "Viscous Ricci dark energy and generalized second law of thermodynamics in f(R,T) gravity" Modern Physics Letter A, 33, No. 38, 1850225, (2018), DOI:10.1142/S0217732318502255 
21. C.P. Singh and Ajay Kumar, " Ricci dark energy model with bulk viscosity"  European Physical Journal Plus: 133, 312, (2018), DOI:10.1140/epjp/i2018-12122-y
22. Milan Srivastava and C.P.Singh," New holographic dark energy model with constant bulk viscosity in modif ed f(R; T) gravity theory" , Astrophysics and Space Science (ASTR), 363, 117, DOI:10.1007/s10509-018-3340-z    (2018).
23. Milan Srivastava and C.P.Singh,"Cosmological Evolution of Non-interacting and Interacting Holographic Dark Energy Model in Brans-Dicke theory", International Journal of Geometric Methods of Modern Physics (IJGMMP): 15, No. 07, 1850124 (2018), DOI:10.1142/S0219887818501244             
24. C.P.Singh and Milan Srivastava, "Viscous cosmology in new holographic dark energy model and the cosmic acceleration", European Physical Journal C (EPJC), 78:190: DOI:10.1140/epjc/s10052-018-5683-6 (2018).
25. C.P.Singh and Pankaj Kumar, " Holographic dark energy in Brans-Dicke theory with logarithmic form of scalar field", International Journal of Theoretical Physics,(IJTP), 56:3297–3310 DOI: 10.1007/s10773-017-3496-2, (2017).
26. Pankaj Kumar and C.P.Singh," New agegraphic dark energy model in Brans-Dicke theory with logarithmic form of scalar field", Astrophysics and Space Science (ASTR), 362(3), 52, DOI: 10.1007/s10509-017-3032-0 (2017).
27. C.P.Singh and Milan Srivastava, “Dynamics of Bianchi V anisotropic model with perfect fluid and scalar field,  Indian Journal of Physics (IJP), 91(12):1645–1654, DOI: 10.1007/s12648-017-1059-2, (2017). 
28. C.P. Singh and Milan Srivasatava, “ Mininmally coupled scalar field cosmology in anisotropic model,” Pramana Journal of Physics , 88, 22,  DOI:10.1007/s12043-016-1330-7, (2017).
29. C.P.Singh and Pankaj Kumar, “Statefinder diagnosis for holographic dark energy models in modified $f(R,T)$ gravity theory”, Astrophysics and Space Science, 361(2), 157-, (2016). DOI:10.1007/s10509-016-2740-1  
30. Vijay Singh and C.P.Singh, “Friedmann cosmology with particle creation in modified f(R,T) gravity” , Int. J. Theor. Phys., 55(2), 1257-1273, (2016). DOI:10.1007/s10773-015-2767-z 
31. Pankaj Kumar and C.P.Singh, " Viscous Cosmology with Matter Creation in  Modified $f(R,T) gravity", Astrophysics and Space Science,  357 (2), 120, (2015). 
    DOI:10.1007/s10509-015-2348-x  
32. V. Singh and C.P.Singh, "Modified f(R,T) Gravity Theory and Scalar Field Cosmology", Astrophysics and Space Science, 355, (2), 2183 (2014). DOI:10.1007/s10509-014-2183-5  
33.  C.P.Singh and Pankaj Kumar, " Friedmann Model with Viscous Cosmology in Modified f(R,T) Gravity Theory", The European Physical Journal C, 74, 3070 (1-11),  (2014). DOI:10.1140/epjc/s10052-014-3070-  
34. C.P.Singh and Vijay Singh, "Reconstruction of Modified f(R,T) Gravity with Perfect Fluid cosmological Models", General Relativity and Gravitation, 46 (4), article no. 1696, (2014). DOI:10.1007/s10714-014-1696-0 
35.  *C.P.Singh, Some exact solutions of magnetized viscous model in string cosmology", Pramana Journal of Physics, 83, no.1, 63-81, (2014). DOI:10.1007/s12043-014-0760-3  
36.   C.P.Singh and A. Beesham, "Magnetized Viscous Fluid Anisotropic Models in String Cosmology", Universal J. Physics and Applications, 2, No.3, 171-181, (2014).
37. * C.P.Singh, " The Role of Magnetic Field in Anistropic String Cosmological Models", Int. J. Theoretical Physics, 53, No.5, 1533-46,  (2014). DOI:10.1007/s10773-013-1952-1 
38.   Vijay Singh and C.P. Singh, “Functional form of $f(R)$ with power-law expansion in anisotropic model”,  Astrophysics and Space Science, 346, No.1  285-289,  (2013). DOI:10.1007/s10509-013-1436-z  
39.   *C.P.Singh, “String Cosmology with magnetized bulk viscous fluid in Bianchi I universe”, Astrophysics and Space Science, 343, No. 2, 773- 781, (2013). DOI:10.1007/s10509-012-1236-x  
40.   C.P.Singh and A. Beesham, “Particle Creation in Higher Dimensional space –Times with Variable G and Lambda”, Int. J. Theoretical Physics, 51, No.12, 3951-3962, (2012).DOI:10.1007/s10773-012-1287-3  
41.   C.P.Singh and Vijay Singh, “Power-law expansion and scalar field cosmology in higher derivative theory”, Int. J. Theoretical Physics, 51, No.6, 1889-1900, (2012). DOI:10.1007/s10773-011-1065-7  
42.   *C.P.Singh, “Viscous FRW model with particle creation in the early universe”, Modern Physics Letters A, 27, No. 12, 1250070, (2012),  arXiv:gr-qc/1107.2212. DOI:10.1142/S0217732312500708  
43.    C.P.Singh and Vijay Singh, “Emergent Universe with Scalar (or Tachyonic) field in Higher Derivative theory, Astrophysics and Space Science, 339, No.1, 101 – 109, (2012).DOI:10.1007/s10509-012-0982-0 
44.   *C.P.Singh “FRW models with particle creation in Brans – Dicke Theory”, Astrophysics and space Science, 338, No. 02, 411-419, (2012).DOI:10.1007/s10509-011-0957-6  
45.   *C.P.Singh  “Bianchi –V space –Time with Anisotropic Dark Energy in General Relativity”, Brazilian Journal of Physics,  41, No. 4-6, 323-332  (2011).DOI:10.1007/s13538-011-0040-3  
46.    C.P.Singh and A. Beesham “Early Universe cosmology with Particle Creation: Kinematics Tests”, Astrophysics and Space Science, 336, No.-2, 469-477, (2011).
47.   C.P.Singh and Vijay Singh  “FRW models with Perfect fluid and Scalar field in higher derivative theory”, Modern Physics Letters A, 26, No.20, 1495-1507, (2011) .
48.   C.P.Singh and A. Beesham “Hypersurface – Homogeneous space –times with Anisotropic Dark Energy”, Gravitation and Cosmology, 17, No.03, 284-290, (2011).
49.   *C.P.Singh “Cosmological Models with time-varying gravitational and cosmological “constants”, Astrophysics and Space Science, 331, No.01, 337-342, (2011).
50.   S. Kumar and C.P.Singh “Anisotropic Dark Energy Models with constant Deceleration Parameter”, General Relativity and Gravitation, 43,  No. 05, 1427-1442, (2011).
51.   C.P.Singh and A. Beesham, “Anisotropic Bianchi –V Perfect fluid space time with variable G and $Lambda$”,  Int. J. Modern Physics A, 25, issue 18-19, 3825- 3834, (2010).
52.   ShriRam,  Mohd. Zeyauddin and C.P.Singh “Anisotropic Bianchi type- V perfect fluid cosmological models in Lyra’s Geometry”, Journal of Geometry and Physics, 60, issue 11, 1671-1680, (2010).
53.   C.P.Singh and A. Bessham, “Locally-rotationally-symmetric Bianchi Type –V Cosmology with Heat Flow”, Pramana -J. of Physics, 73, No.4, 793 – 798, (2009).
54.   C.P.Singh and S.Kumar,  “Viscous Cosmology with a Cosmological Constant”, Astrophysics and Space science, 323, No. 04, 407- 414, (2009).
55.   *C.P.Singh, “LRS Bianchi Type-V Cosmology with Heat Flow in Scalar Tensor Theory”, Brazilian Journal of Physics, 39, No.04, 619-628, (2009).
56.   *C.P.Singh, “Imperfect Fluid Cosmology with Heat Flow”, Gravitation and Cosmology",    15, No.04, 381- 390, (2009).
57.   *C.P.Singh,  “LRS Bianchi –V cosmology with decaying vacuum density and heat flow”. Astrophysics and Space Science, 323, No.02, 197 -203 (2009).
58.   C.P.Singh and S.Kumar, “Bianchi –I Space –Time with Variable Gravitational and Cosmological “Constants”,  Int. J. Theoretical Physics, 48, No.8, 2401-2411, (2009).
59.   C.P.Singh and S.Kumar, “Viscous Fluid Cosmology in Bianchi type –I Space –time”. International  Journal of  Theoretical Physics, 48, No.4, 925 – 936, (2009).
60.   *C.P.Singh, “LRS Bianchi type-V Cosmology in general relativity”, Pramana -J. of Physics, 72, No. 02, 429 -443, (2009).
61.   Mohd. Zeyauddin, Shri Ram and C.P.Singh, “Bianchi Type-V cosmological models with perfect fluid and heat flow in Saez- Ballester  theory”, Pramana -J. of Physics, 72, No. 02, 415 -428, (2009). 
62.   Shri Ram, Mohd.  Zeyauddin and C.P.Singh, “Generalized Chaplygin Gas Dominated Anisotropic Bianchi type I Cosmological Models”, Int. J. Theor. Phys., 48, No.1, 50 -60, (2009).
63.   C.P.Singh, Shri Ram, and Mohd. Zeyauddin,   “Bianchi type-V model with perfect fluid and heat conduction in Lyra's geometry”, Int. J. Mod. Phys.A, 23 (31), 4991-5005, (2008).
64.   C.P.Singh and S. Kumar, “Bianchi Type –I cosmological models with Variable cosmological constant”, Int. J. Theor. Phys, 47 (12), 3171 – 3179, (2008).
65.   C.P.Singh, Mohd. Zeyauddin and Shri Ram, “Some Exact Bianchi Type V Perfect Fluid Solutions with Heat Flow”,  Int. J. Theor. Phys., 47 (12), 3162 - 3170, (2008).
66.   C.P.Singh, Mohd. Zeyauddin and Shri Ram,  “Anisotropic Bianchi -V Cosmological Models in Saez–Ballester Theory of Gravitation”, Int. J. Mod. Phys.A, 23 (18), 2719 -2731, (2008).
67.   C.P.Singh, Mohd. Zeyauddin and Shri Ram,  “Bianchi type –V perfect fluid space time models in general relativity”, Astrophysics and   Space Science., 315,  No. 01, 181 -189, (2008).
68.   *C.P.Singh,   “Bulk Viscous Cosmology in the Early Universe”,  Pramana -J. of Physics, 71, No.01, 33-48, (2008).
69.   C.P.Singh and A. Beesham, “Early Universe in Scalar -Tensor Theory”,  Int. J. Theor. Phys. 47 (9), 2344 -2352, (2008).
70.   S. Kumar and C.P.Singh, “An Exact Bianchi type –I Cosmological Model in Lyra’s Manifold”, Int. J. Modern Phys. A., 23, No.  06, 813 -822, (2008).
71.   S. Kumar and C.P.Singh, “Exact Bianchi Type –I cosmological models in a scalar tensor theory”,  Int. J. Theor. Phys., 47, No. 06, 1722 -1730, (2008)
72.   S. Kumar and C.P.Singh, “Anisotropic Bianchi Type –I models with constant deceleration Parameter in General  Relativity”.Astrophysics and Space Science, 312, No. 01, 57 -62, (2007).
73.   *C.P.Singh, “Viscosity Effects on the Early Universe with Time –Varying Constants”. Nuovo Cimento B, 122, (01), 89 -104, (2007).
74.   *C.P.Singh, “Early Homogeneous Universe with Variable Cosmological Constant: Kinematics Tests”, Int. J. of Modern Physics A, 22 (13), 2415 -2431, (2007).
75.   C.P.Singh and S. Kumar,  “Bianchi Type-II Space time with Constant Deceleration Parameter in Self Creation Cosmology”, Astrophysics and Space Science, 310, No.01, 31 -39,    (2007).
76.   C.P.Singh and S. Kumar, “Bianchi Type-II Inflationary Models with Constant Deceleration Parameter in General Relativity”, Pramana -J. of Physics, 68,  No.05, 707 -720, (2007).
77.   C.P.Singh, S. Kumar and A. Pradhan, “Early Viscous Universe with Variable Gravitational and Cosmological “Constants”, Classical and Quantum Gravity, 24, No. 2, 455 -474,   (2007) .
78.   *C.P.Singh, “Unified description of early universe with Variable Gravitational and Cosmological  Constants”, Mod. Phys. Lett. A. 21, No.23, 1803 -1813, (2006).
79.   *C.P.Singh,  “Early Universe with Variable Gravitational and Cosmological Constants”, Int.. J. Theor.Phys.  45, No. 03, 531 -540, (2006).
80.   C.P.Singh and S. Kumar, “Bianchi Type-II Cosmological Models with Constant Deceleration Parameter”,  Int. Journal of Modern Physics D, 15, No. 03, 419 -438, (2006).
81.   C.P.Singh and ShriRam,  “Unified Description of Early Universe in Scalar-Tensor Theory”,  Astrophysics and Space Science, 284, No. 4, 1199 -1206, (2003).
82.   *C.P.Singh,  “Early Cosmological Models in Lyra’s Geometry.”  Astrophysics and Space Science, 275, 377 -383, (2001).
83.   ShriRam and C.P.Singh, “Early Viscous Fluid Cosmological Model with Zero-rest-mass Scalar-Fields.”Astrophys. and Space Science, 260, No.04, 541 -549, (1999).
84.   ShriRam and C.P.Singh,  “Early Universe in Brans-Dicke Cosmology.” IL Nuovo Cimento B, 114, (03) , 245 -252, (1999).
85.   ShriRam and C.P.Singh,  “Unified Description of Early Universe with Bulk Viscosity.” Int. Journal of Theoretical Physics, 37, No.03, 1141 -1149, (1998).
86.   ShriRam and C.P.Singh,  “Early Cosmological Models with Variable-G and Zero-rest-mass scalar-Fields.” Indian Journal of Physics A, 72, 323 -329, (1998).
87.   ShriRam and C.P.Singh, “Early Universe in Self-Creation Cosmology.”Astrophys. and Space Science, 257, No.01, 123 -129, (1997).
88.   ShriRam and C.P.Singh, “Anisotropic Bianchi type-II Cosmological Models in Self-Creation Cosmology.” Astrophysics and Space Science, 257, No.02, 287 -292, (1997).
89.   ShriRam and C.P.Singh,  “Early Cosmological Models with Bulk Viscosity in Brans-Dicke Theory.” Astrophysics and Space Science, 254, No.01, 143 -150, (1997).
90.   ShriRam, J.K.Singh and C.P.Singh,  “Totally Anisotropic Bianchi type-II Cosmological Models in Lyra’s Geometry.”  Proc. Math. Society, B.H.U., 11, 83 -88, (1995).
91.  ShriRam and C.P.Singh,  “Inflation in Anisotropic Bianchi type-II Space-time.”  Proc. of Mathematical Society, B.H.U., 12, 127 -131, (1996).

Conferences/ Seminar attended and paper presented:

• Attended and presented paper in Inaugural Conference on the current status of cosmology during October 17-19, 2022 at Thanu Padamanabhan Centre for Cosmology and Science Popularization, SGT University, Haryana. Title of paper: Viscous cosmology with time-varying cosmological constant.
• Attended and presented a research paper in 29th Meeting of Indian Association for General Relativity and Gravitation on The Era: Gravitational Wave at Department of Physics, IIT Guwahati during May 18-20, 2017. Title of paper: Holographic dark energy model with future event horizon in Brans-Dicke theory.
• Attended and presented a research paper in International Conference on Differential Geometry, Algebra and Analysis at Department of Mathematics, Jamia Millia Islamia University during November 15-17, 2016. Title of paper: A study on new agegraphic dark energy model in Brans-Dicke theory.
• Attended National seminar on “Innovations and Challenges in Thermal Engineering” organized by Dept. of Mechanical Engg., DTU during July 7-8, 2016.
• Attended and presented a paper in National Conference on Recent Advances in Mathematical Sciences, organized by Dept. of Mathematics, Sant Gadge Baba Amravati University, Amravati, during June 17-18, 2016. Title of paper: Anisotropic scalar field cosmology with an exponential potential.
• Attended and dlivered invited talk in International Conference on “General Relativity” organized by Dept. of Mathematics, Sant Gadge Baba Amravati University, Amravati, during November 25-28, 2015. Title: The role of viscous cosmology in the present cosmic acceleration.
• Attended seminar on “ General Relativity Centennial” organized by CTP, JMI during December 10-12, 2015.
• Paticipated in International Conference on " Matters Gravity and the Universe", October 27-29, 2014, Centre for Theoretical Physics, Jamia Millia Islamia University, New Delhi.
• Participated in Symposium on 'Astro-Particle and Nuclear Physics', January 21-22, 2014, Centre for Thoeretical Physics, Jamia Millia Islamia University, New Delhi.
• 27th Indian Association for General Relativity and Gravitation, March 7-9, 2013, H.N. Bahuguna Garwhal University, Srinagar, Garwhal, Uttarakhand. Title of paper: “Magnetized Viscous fluid Anisotropic Models in String Cosmology”.
• International Conference on Mathematical Sciences, December 28-31, 2012, SSES Amt’s Science College, Nagpur. Title of paper: “String Cosmology with magnetic field and viscous fluid in anisotropic space-time”.
• 7th International Conference on Gravitation and Cosmology, December 14-19, 2011, Goa, organized by International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Mumbai. Title of Paper: “Viscous FRW model with particle creation in the early universe”.
• National Conference on Mathematical Modeling and Computer Simulation, March 25-27, 2011, Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi. Title of Paper: “FRW models with Perfect fluid and Scalar field in higher derivative theory”.
• 26th Indian Association for General Relativity and Gravitation, January 19-21, 2011, Harish-Chandra Research Institute, Allahabad. Title of Paper: “Early Universe cosmology with Particle Creation: Kinematics Tests”
• 2nd Indo –Japan workshop on Gravitation and Cosmology , December 29-30, 2009, Centre for Theoretical Physics, Jamia Millia Islamia University, New Delhi. Title of Paper: Anisotropic Dark Energy Models with constant Deceleration Parameter”.
• International Conference on Recent Trends in Mathematics and its Applications (ICRTMA -09), March 30-31, 2009, Department of Mathematics, Jamia Millia Islamia University, New Delhi. Title of Paper: “Fundamental Mathematics in Theoretical Cosmology”.
• 25th Indian Association for General Relativity and Gravitation, January 28-31, 2009, Saha Institute of Nuclear Physics, Kolkata.Title of paper: “Dark Energy Model in Kaluza –Klein Theory of Gravitation with Generalized Linear Equation of State”.
• 24th Indian Association for General Relativity and Gravitation, February 5-8, 2007, Jamia Millia Islamia University, New Delhi. Title of Paper: “Early Viscous Universe with Variable Gravitational and Cosmological “Constants”.
• 94th Indian Science Congress on Planet Earth, January 3-7, 2007, AnnaMalai University, Chidambaram, Tamil Nadu. Title of paper: “String Cosmology in Bianchi- Type –II Space –Times”,  XIII, No.12, 9, 2007 .
• Joint 9th National Conference of the Vigyan Parisad of India on Applied and Industrial Mathematics and 5th Annual Conference of Indian Society of Information Theory and Applications, Feb. 22-24,2002, Netaji Subhas Institute of Technology, New Delhi. Title of Paper:   “Early Cosmological Models in Lyra’s Geometry.” 

Invited Talk Delivered:  

• Delivered an invited talk on " Exploring cosmic acceleration through three distinct models" in International Conference on Recent Advances in Mathematical Sciences and Interdisplinary Areas, Department of Mathematics, GLA University, Mathura during 22-24 June, 2023.
• Delivered an invited talk on " Einstein's Cosmological constant and the dark energy" in International Conference of Mathematical Society-BHU on Recent Trends in Mathematical and Computational Sciences (RTMCS), DST-Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi during 03-05 February, 2023.
• Delivered an Invited talk on "Viscous Dark Energy Model and its Thermodynamic analysis", in National e-Conference on " Recent Mathematical Innovation Skills in 21st Century" on 27th March, 2021 at Department of Mathematics and IQAC, Sant Gadge Baba Amravati University, Amravati. 
• Delivered an invited talk on " Cosmological dynamics and observational consequences in alternative dark energy models" in International Conference of international Academy of Physical Sciences (CONIAPS  XXVI) on "Advances in Relativistic Astrophysics and Cosmology (ARAC-2020) " during  18- 20, 2020, organized by Department of Mathematics, Sant Longowal Institute of Engineering & Technology (SLIET), Longowal.
• Delivered an invited talk on " Deacying vacuum cosmology in Brans-Dicke theory" in International Conference on Differential Goemetry and Relativity, November 08 - 10, 2019, organized by Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur in assocaition with The Tensor Society.
• Delivered an invited talk on " Bulk viscosity and Matter creation: the possible candidates of dark energy" in International conference on cosmology and Mathematical Sciences, April 05-07, 2019, organized jointly by Department of Mathematics, GLA University, Mathura and The Tensor Society.
• Delivered an invited talk on " Exploring the possibility of bulk viscosity as a candiate of dark energy", in National Conference on Differential Geometry and General Relativity' November 28-29, 2017, organized jointly by Department of Mathematics and  The Tensor society, Sardar Patel University, Vidyanagar, Gujrat.
• Delivered an invited talk on " Dynamical Dark Energy Models in Accelerating Universe", in International Conference on 'Recent trends in Mathematical Sciences & Cosmology' Decemeber 17-19, 2016, Govt. Model Science College, Rewa, Madhya Pradesh.
• Delivered an invited talk on “Holographic dark energy models in Brans-Dicke theory” in National Conference on Recent Advances in Mathematical Sciences, June 17-18, 2016, Sant  Gadge Baba Amravati University, Amravati, India.
• Delivered an invited talk on “The role of viscous cosmology in the present cosmic acceleration” in International Conference on General Relativity, November 25-28, 2015, Sant  Gadge Baba Amravati University, Amravati, India.
• Delivered an invited talk on “String Cosmology with Magnetic field in Anisotropic Space-time” in International Conference on Mathematical Sciences, December 28-31, 2012, Science College, Nagpur, India.
• Delivered an invited talk on “Flat Friedmann-Robertson-Walker cosmologies with particle creation: Kinematics tests” in the 26^th meeting of the IAGRG, January 19-21, 2011, HRI, Allahabad, India.
• Delivered popular talk on “ Dark Energy: Accelerating the Universe” during the visit to University of Zululand, Durban, South Africa during the period June 2 – June 17, 2010, South Africa.
• Delivered a talk on “Isotropic and Anisotropic models with Varying Cosmological Parameters” during the visit to Kwazulu-Natal University, Durban, South Africa during the period June 18-July 11, 2010, South Africa.
• Delivered a talk on “Anisotropic Dark Energy Models with Constant Deceleration Parameter” in 2nd Indo –Japan workshop on Gravitation and Cosmology, December 29-30, 2009, Centre for Theoretical Physics, Jamia Millia Islamia University, New Delhi, India.

Chairing the session in Conference / Seminar:

• Chaired  a seesion of invited talk in international Conference of Mathematical Society-BHU on Recent Trends in Mathematical and Computational Sciences (RTMCS), DST-Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi during 03-05 February, 2023.
• Chaired the parallel session in Inaugural Conference on the current status of cosmology during October 17-19, 2022 at Thanu Padamanabhan Centre for Cosmology and Science Popularization, SGT University, Haryana.
• Chaired a session of Invited talk in International Webinar on Recent Developement in Modified Gravity and Cosmology (RDCM-2021) during March 9-11, 2021 at Department of Mathematics, Birla Institute of Technology & Science, Pilani Hyderabad Campus.
• Chaired a seesion of oral presentation in  International Conference of international Academy of Physical Sciences (CONIAPS  XXVI) on "Advances in Relativistic Astrophysics and Cosmology (ARAC-2020) " during  18- 20, 2020, organized by Department of Mathematics, Sant Longowal Institute of Engineering & Technology (SLIET), Longowal.
• Chaired invited talk session in International Conference on Differential Geometry and Relativity,November 08 - 10, 2019, organized by Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur in assocaition with The Tensor Society.
• Chaired the session of invited talk in International Conference on Cosmology and Mathematical Sciences, organised by Department of Mathematics, GLA University, Mathura and The Tensor Society during April 05-07, 2019.
• Chaired the session of invited talk in National Conference on Differential Geometry and General Relativity' November 28-29, 2017, organized jointly by Department of Mathematics and  The Tensor society, Sardar Patel University, Vidyanagar, Gujrat.
• Chaired one session each of Invited talk and paper presentation in National Conference on Recent Advances in Mathematical Sciences, Sant Gadge Baba Amravati University, Amravati, Maharashtra during June 17-18, 2016.
• Chaired the session in Faculty Development Programme on Statistical Methods and a Brief on LaTex, Department of Applied Mathematics, Delhi Technological University, Delhi, during July 18-22, 2016.
• Chaired one session each of invited talk and paper presentation in International Conference on General Relativity, December 25- 28, 2015, Sant Gadge Baba Amravati University, Amravati, Maharashtra.
• Chaired one session of paper presentation in International Conference on Mathematical Sciences, December 28-31, 2012, Science College, Nagpur.


• Administrative resonsibilties:

• Associate Head (02.09.2021 -      )
• Coordinator, NBA (2021-  22)
• Nodal Officer, Newly constructed Builiding (2021 -    )
• Member Secretary, Sceering Committee, 2021
• Member, Career Advancement Scheme (CAS) (2020-21, 2021-22, 2022-23, 2023-24 )
• Member, Research Excellent Award  (2019 -      )
• Department PhD Coordinator (01.08.2011-  3.11.2021 )
• Warden, Varah Mihir Boys Hostel, DTU, Delhi (2009 - 2013)
• Member of variuos committee at Deparment and University levels.
• Member of Departmental Research Committee (DRC)
• Member fo Board of Studies (BOS)
• O/I/C, Non-Consumeable items in Department (2003-2020)
• O/I/C Department Time table (July, 2016- December, 2020)
• O/I/C, Computational Lab (2011 - 2020)
• University Research award committee Member (2019   -      )
• Member of Board of Studies & RAC, NSUT, New Delhi (2018-        )
• Member of  Centre Reseach Committee (CRC) , CTP, JMI, New Delhi (2022  -      )
• Member of Committee of Studies (COS), CTP, JMI, New Delhi (2022   -             )
• PhD Cooridnator-Admission (2023 - 24)

Curriculum Development:

• Member of the syllabus drafting committee for B.Tech. (Mathematics and Computing).
• Member of the revision syllabus for new scheme of B.Tech (Mathematics & Computing)
• Member, Syllabus drafting committee for M.Sc. (Mathematics)

Awards/ Honours received:

• Fellow of Royal Astronomical society (FRAS), UK
• Received two Commendable Research Excellent Award in 2018, 2019, 2020, 2021
• Received one Premier Research Excellent Award and three Commendable Research Excellent Award in 2019.
• Received  one Premier Research Excellent Award and three Commendable Research Excellent Award in 2020.

Any other information:

• Examiner of Ph.D. thesis.
• Reveiwer of many reputed refereed journals.
• Member of Editorial Board, Journal of Modern Physics & Transaction of Theoretical Physics,