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Dr. Kangujam Priyokumar Singh

Designation: Associate Professor

Specialization: Applied Mathematics

Contact: +918787798522, +919856134748

Email: pk_mathematics [AT] yahoo.co.in

M.Sc. Ph.D (Applied Mathematics)



2. Designation: Associate Professor

3. Department: Department of Mathematics, MU

4. Specialization: Applied Mathematics.

5. Phone/Mobile: +918787798522, +919856134748

6. Email: pk_mathematics [AT] yahoo.co.in, pk_mathematics [AT] yahoo.co.in

7. Highest Educational Qualification: M.Sc. Ph.D (Applied Mathematics)

8. Research Areas: Relativity and Cosmology, Modified theories of gravitation, Dark Energy, String Cosmology.

9. Details of:


  1. Teaching Experience and Achievements


  1. More than 23 (Twenty-three) Years teaching experience in UG & PG Level.

  1. From 05-03-2020 to till date (Professor on lien) serving as Associate Professor with full Pay Protection in the Department of Mathematics, Manipur University.

  2. From 24-09-2012 to 04-03-2020 as Professor in the Department of Mathematical Sciences, Bodoland University.

  3. From 18-10-1997 to 20-09-2012 was serving as Assistant Professor in Ideal Girl’s College, Imphal, Under Govt. of Manipur.


(ii) Acts as a Faculty member in Mathematics for UGC sponsored NET Coaching Centre for OBC in Manipur University.


(iii) Guided/Produced 6 (Six) Ph.D Scholars and 1 (One) M.Phil.Student.

(iv) Completed one Project entitled “Cosmological models with the accelerated expansion of the universe: its origin and consequences” for an amount of Rs 1.2 Lakhs under UGC Minor Research Project.


(v) On going a research project entitled ““A study of string universes and their significance for describing the dynamics of the universe and its future evolution” for an amount Rs 6,32,00 for the FY 2018-19. Fund releases yearly for 3 (Three) Years.


(vi) Acts as Journal Reviewer of 7 (Seven) International Journals.


(vii) Examined 3 (Three) Ph.D.Thesis of 3(Three) Universities.


(viii) Examined 1 (One) M.Phil Dissertation of a University.




  1. Membership of different academic & professional bodies:

1. Acts as the Chairman of Departmental Research Committee (DRC), Department of Mathematical Sciences, Bodoland University, Kokrajhar, BTC, Assam.

2. Acts as the Chairman of Board of Post Graduate Studies (BPGS), Department of Mathematical Sciences, Bodoland University, Kokrajhar, BTC, Assam.

3. Acts as a Co-ordinator Curriculum Review Committee of Bodoland University.

4. Acts as a Co-ordinator Routine Committee of Bodoland University.

5. Acts as a member of Internal Quality Assurance Cells (IQAC), Bodoland University.

6. Acts as a member of Research Council, Bodoland University.

7. Acts as a member of Ph.D Committee, Bodoland University.

8. Acts as a member of Academic Council, Bodoland University.

9. Acts as Coordinator Intellectual Property Right Cell, Bodoland University.

10.Acts as a member of Executive Council, Bodoland University

11.Acts as a member of CUDC, Bodoland University.

12.Acts as a member of Examination Committee. Bodoland University.

13. Life member of Cryptology Research Society of India.

14. Member of Manipur Mathematical Society.

15. Life member Indian Association of General Relativity and Gravitation (IAGRG).

16. Life member Tensor Society of India

17. Member as a Volunteer of Manipur Volunteer Organization for the social development.

18. Member of Board of Studies, Department of teacher Education, Manipur University.

19. Member of the Committee for Drafting and Finalizing the Implementation Plan of the National Education Policy (NEP) 2020 in Manipur University for under Graduate.


  1. Administrative Experience

1.Acts (2 times) as the Head, Department of Mathematical Sciences, Bodoland University.

2.Acts (2 times) as a Dean, Faculty of Science and Technology, Bodoland University. .

3.Acts as OSD Examination, Bodoland University.

4.Acts as a Coordinator, IPR Cell, Bodoland University.



  1. Examinations Work Experience


  1. 19 (Nineteen) years’ experience in Examination Confidential and Non- Confidential Examination Works of Manipur University and Bodoland University.

  2. Acts as Asst. Superintendent for U.G.C/ NET Exam. Dec.2010 Manipur University Centre.

  3. Acts as Asst. Officer-in-Charge for Manipur University, B.Ed/HSP Exam.March.2011.

  4. Acts as Asst. Superintendent for U.G.C/ NET Exam. June, 2011 Manipur University Centre.

  5. Acts as Tabulator for Manipur University Exam. 20th June, 2011.

  6. Acts as Tabulator for Degree 2nd Semester Exam. 12th September, 2011.

  7. Acts as Tabulator for B.Ed. Exam.2011.

8. Acts as Tabulator for B.A.1st Semester Exam. December 2011.

9. Acts as an Officer-in-charge for M.Sc Mathematics 1st Semester and 3rd Semester

Exam.December,2012 under Gauhati University.

10. Acts as an Officer-in-charge for M.Sc Mathematics 2nd Semester and 4th Semester

Exam.June,2013 under Gauhati University.

11. Acts as an Officer-in-charge for M.Sc Mathematics 1st Semester and 3rd Semester

Exam.December,2013 under Gauhati University and Bodoland University

12. Acts as a Officer-in-charge and Head Examiner for Ph.D Course Work Exam.September,2015

Under Bodoland University.

13. Acts as a Officer-in-charge and Head Examiner for M.Sc Mathematics 1st Semester and 3rd

Semester Exam.December,2015 under Bodoland University.

  1. Acts as the Member of Screening Committee for the recruitment for Teaching faculty of Bodoland University, 2017.

  2. Acts as the Asst. Officer-in-charge for M.Sc. 4th Semester Exam. 2020, Manipur University.

  3. Acts as the Asst. Officer-in-charge for M.Sc. 2nd Semester Examination 2020, Manipur University


  1. Contribution to educational innovation, design of new curricula and courses

1. Member of Degree Syllabus Committee and formation of Curricula, 2005.of Manipur University.

2. Member Syllabus Drafting Committee for B.Sc(Semester System), 2010of Manipur University.

3.Chairman Syllabus Drafting Committee for MSc.Mathematics (Semester System), of Bodoland University, 2013.

4. Chairman Syllabus Drafting Committee for Pre- Ph.D Course Work in Mathematics 1 Semester Course) of Bodoland University, 2013.

5, Chairman Syllabus Drafting Committee for MSc.Mathematics(Semester System under CBCS), of Bodoland University, 2015.

  1. Chairman Syllabus Drafting Committee for Under Graduate Mathematics Syllabus (Semester System under CBCS), of Bodoland University, 2015.

  2. Member, Board of Studies, Department of Mathematics, Manipur University, 2020.

  3. Member, Board of Under-Graduate Studies in Mathematics, Manipur University, 2020


f). Research Publications:


Published 67 (Sixty-Seven) Research papers in International Journals till now.


  • f(R,T) Gravity model behaving as a dark energy source” New Astronomy, Vol. 84, April (2021), pp.101542 (UGC CARE List Journal).

  • A Higher Dimensional Cosmological Model for the search of Dark EnergyInternational Journal of Geometric Methods in Modern Physics,(Accepted for Publication) (2021) (UGC CARE List Journal).

  • Mathematical Analysis On Anisotropic Bianchi Type-III Inflationary String Cosmological Models in Lyra Geometry” Indian Journal of Science & Technology, Vol 14(1), pp 46-54 ISSN 0974-5645, (2021)(UGC CARE LIST JOURNAL)

  • A Novel Precise and Accurate Clock Synchronization Algorithm J. Math. Comput.Sci Vol. 11, Issue No.1 pp. 10124 ISSN 1927-5307(2021) Scopus(UGC CARE LIST JOURNAL)

  • Thermodynamics behavior of the Polytropic gas in Cosmology. Ratio Mathematica Vol. 39 pp. 261-268 ISSN 1592-7415 e-ISSN 2282-8214 (2020)(UGC CARE LIST JOURNAL)

  • Reconstructions of the Holographic Polytropic Gas dark energy model in the Flat FRW Universe. International Journal of Advanced Research in Engineering and Technology Vol.11, Issue 10, pp. 241-246 ISSN 0976-6480 (P) ISSN 0976-6499(E) Oct. (2020) (UGC CARE LIST JOURNAL)

  • Higher Dimensional Bianchi Type-III String Universe With Bulk Viscous Fluid and Constant Deceleration Parameter(DP)” Advances in Mathematics: Scientific Journal 9 (2020), no.10, pp. 8779–8787 ISSN: 1857-8438 (2020)(UGC CARE LIST JOURNAL)

  • Higher Dimensional Robertson Walker Universes Intereacting with Brans-Dicke Field” Advances in Mathematics: Scientific Journal Vol.9, Issue10, pp. 8545-8557 ISSN 1857-8365 (Print Version) (2020) Scopus (UGC CARE LIST JOURNAL)

  • Interaction of Bianchi Type-I Anisotropic Cloud String Cosmological Model Universe with Electromagnetic FieldInternational Journal of Geometric Methods in Modern Physics  Vol. 17, N0.9 (2020) pp 2050133 (UGC CARE List Journal)

  • Bulk Viscous Fluid Bianchi Type-I String Cosmological Model with Negative Constant Deceleration Parameter” Advances in Mathematics: Scientific Journal. Vol.9, Issue 7, pp. 4907-4916 ISSN 1857-8365 (Print Version) (2020)Scopus (UGC CARE LIST JOURNAL)

  • Bulk Viscous Strings in LRS Bianchi Type-I Universe with Constant DP and Variable Λ in General Relativity” High Technology Letters Vol.26, Issue 7, pp. 720-728 ISSN 1006-6748(Print Version) (2020)(UGC CARE LIST JOURNAL)

  • Anisotropic cloud string cosmological model with Bianchi Type-I space time in General Relativity” The African Review of Physics Vol. 14: 0013 (2019) (UGC CARE List Journal)

  • Polytropic gas has plausibility in preventing big rip singularity. International Journal of Research and Analytical Reviews Vol.6, Issue 2, pp. 241-246 ISSN 2349-5138(Print Version)ISSN 2438-1269(ElectronicVersion) June (2019)(UGCAPPROVEDJOURNAL)

  • Whether dark energy can contribute to the treatment and healing of diseases” Modern Physics Letters A, Vol.33, No. 1, (2019) (UGC CARE List Journal)

  • The fifth force: An enigma in this Universe” Modern Physics Letters A, Vol. 34, Issue. 9, pp. 1950056 (24 pages), (2019) (UGC CARE List Journal)

  • Dark energy on higher dimensional spherically symmetric Brans–Dicke universe” Chinese Journal of Physics Vol. No. 60, pp. 239-247, (2019) (UGC CARE List Journal)

  • Some interactions of spherically symmetric massive scalar field with Brans-Dicke scalar field in Robertson-Walker universe” International Journal of Geometric Methods in Modern Physics .Vol. 16, Issue. 4, pp. 1950066, (2019) (UGC CARE List Journal)

  • Bianchi Type-III cosmological model with hybrid scale factor in the presence of Van der Waals fluid in Lyra geometry” International Journal of Modern Physics A. Vol. 16, Issue. 4, pp. 1950066, (2019) (UGC CARE List Journal)

  • Bianchi Type-III cosmological model with quadratic EoS in Lyra geometry” International Journal of Geometric Methods in Modern Physics.Vol. No. 15 (2018), pp.1850194 (16 pages), (2018) (UGC CARE List Journal)

  • Some properties of one dimensional imprecise number”, Int. J. Basic & Appl. Research (IJBAR) Vol. 8 Issue. 7, pp. 1003-1010, July (2018) (UGC CARE List)

  • Conversion of Transcendental Function into Imprecise Function” J.Com & Math. Sc.(JCMC) Vol.9(6), pp. 501-512 June, (2018) (UGC CARE List)

  • Bianchi Type-III Space-time and Generalized Cosmic Chaplygin Gas” Int. J. on Future Rev. in Com. Sc & Commm. Eng, (IJFRCSCE)Vol. 04, Issue 2, pp.281-28458 (2018) (UGC CARE List)

  • Can Dark Energy Neutralize the Global Warming?” Int. J. of Rec. Trends & Research (IJRTER) Vol. 03, Issue 11, pp.48- 58 (2017) (UGC CARE List)

  • Construction of Normal Imprecise Functions” Adv.in Comp. Sc &Tech(ACST)Vol. 10, Issue. 7pp. 2019-2036 (2017) (UGC CARE List)

  • Whether Lyra’s Manifold Itself is a Hidden Source of Dark Energy” Int.J.Theor.Phys Vol.56, ,pp.2607-2621 Springer Journal.( 2017) (UGC CARE List)

  • Towards Forming the Field of Fuzzy Boundary on the Basis of Reference Function” Global Journal of Pure and Applied Mathematics, Vol.13, No. 6, pp 2703-2716 (2017)

  • Could the Lyra Manifold be the hidden source of Dark Energy” International Journal of Geometric Methods in Modern Physics. Vol. No. 14 (2017), pp.1750063 (34 pages), (2017) (UGC CARE List)

  • Perfect fluid Bianchi Type-I Universe and Generalized Cosmic Chaplygin Gas with Large Scale Factor” Prespacetime Journal Vol. No.7.Issue 16, pp 2105-2110(2016)

  • Rate of Convergence of the Sine Imprecise functions” International Journal of Intelligent Systems and Applications,Vol. 10, pp 31-43, (2016)

  • A Note on Quasi-Coincidence for Fuzzy Topology on the Basis of Reference Function” International Journal of Mathematical Sciences and Computing. Vol. no.3 , pp.49-57, ( 2016)

  • Friedmann’s equations in Analyzing Viscous Dark Energy and Phantom Evolution” Astronomy and Space Science Vol.2 Issue 1, ASSOA-2-008 (2016)

  • Vander Waal’s equation of state in Analyzing Viscous Dark Energy Models with the Property of variable G and Λ” International Journal of Research and Engineering Vol.3, Issue 3, pp. 45-49 (2016)

  • Robertson-Walker model universe interacting with electromagnetic field and Brans-Dicke field in presence of hybrid scale factor” Chinese Journal of PhysicsVol. No.54, pp. 845-849,( 2016) (UGC CARE List)

  • Generalized Cosmic Chaplygin Gas in Bianchi Type I anisotropic Universe and Law of Variation of Hubble’s Parameter” African Review of Physics, Ghana Vol. No.11 pp.33-38 (2016) (UGC CARE List)

  • Higher Dimensional LRS Bianchi type-I Cosmological Model Universe interacting with perfect fluid in Lyra Geometry” African Review of Physics, Ghana. Vol. No.11 pp.33-38 (2016) (UGC CARE List)

  • Universe filled with Generalized Chaplygin Gas and Barotropic Fluid” International Journal of Astronomy and Astrophysics USA Vol. 6, pp 105-110, (2016) (UGC CARE List)

  • Higher Dimensional Cosmological Model Universe with Quadratic Equation of State in Lyra Geometry” Prespacetime Journal Vol. no.7 , Issue no.3, pp.499-508, March,( 2016)

  • Interaction of Gravitational field and Brans-Dicke field in R/W universe containing Dark Energy like fluid” Research in Astron. and Astrophysics Vol.16 No.4, 64 (10 pp), (2016) (UGC CARE List)

  • On Brans-Dicke Disordered distribution of Radiation in Robertson-Walker Universe” Prespacetime Journal Vol. no.7 , Issue no.2, pp.325-329, February ( 2016)

  • Isotropic R-W Universe with Vander Walls EoS in Brans-Dicke theory of Gravitation” Prespacetime Journal Vol. no.7 , Issue no.1, pp. 140-147( 2016)

  • Isotropic Robertson-Walker model universe with dynamical cosmological parameter Λ in Brans-Dicke Theory of Gravitation” Communication in Physics,VAST, Vietnam.Vol. no.25 , No.4, pp309-316 ( 2015) (UGC CARE List)

  • A Cyclic Model Universe with Dark Energy” Prespacetime Journal ,USA Prespacetime Journal Vol. no.6, Issue no.12, pp 1300( 2015)

  • Oscillating theory of the Universe” Global Journal of Science Frontier Research (A) Physics and Space Science, Vol XV Issue VII Version 1 pp.15- 17, (2015)

  • Some Spherically Symmetric R/W universe interacting with Vacuum B-D scalar field” Ukrainian Journal of Physics Vol.60. No.11pp.1177-1181 (2015). (UGC CARE List)

  • Possibility of Cosmic Time Going Back in Some Dark Energy Model Universe, Int. J. Phys. Vol. 3, No. 5, 213-215(2015)

  • Some Cosmological Models in B-D Theory with Constant Deceleration Parameter” Prespacetime Journal Vol. no.6, Issue no.10, pp 984-991( 2015) ISSN 2153-8301(Print)

  • Some string cosmological universes containing dark energy, Prespacetime Journal Vol. no.7, Issue no.10, pp 1386-1397( 2015)

  • Five Dimensional String Universes in Lyra Manifold” International Journal of Astronomy and Astrophysics, USA at International Journal of Astronomy and Astrophysics, USAVol.No.5, pp.90-94, June(2015) (UGC CARE List)

  • Cosmological universe consisting of two forms of dark energy, Int.J.Theor.Phys.53,No,12, pp.4360-4365 December (2014) (UGC CARE List)

  • On Bianchi type III string cloud universe containing strange quark matter” International Journal of Astronomy and Astrophysics, USAVol.No.4, pp. 544-549September (2014) (Old UGC Journal List)

  • Cosmological viscous fluid universe with rotation in Brans-Dicke Theory” Rusian J.of Natrural and Mathematical SciencesVol.3 No.31, pp.37- 47(2013)

  • Charged perfect fluid distribution for cosmological universe interacting with massive scalar field in B-D theory” Rusian J.of Natrural and Mathematical SciencesVol.3 No.31, pp.37- 47(2013)

  • Non-survival of massive scalar field with Constant Deceleration Parameter in Robertson Walker Universe” International Journal of Engineering and Innovative Technology (IJEIT)Volume 3, Issue 3 pp.283-285September, (2013)

  • Exact solution of FRW perfect fluid model interacting with zero-rest-mass scalar field and electromagnetic field in B-D Theory” Turk. J. PhysVol. No. 37,387-393 (2013) (UGC CARE List)

  • Interaction of electromagnetic and zero-mass scalar fields with viscous fluid” at Int. J. of Adv. Research ( IJAR), UKVol.1 Issue 6 , pp. 218-227(2013)

  • Brans-Dicke Disordered distribution of Radiation in Roberson-Walker Universe”at Int. Archive of Applied Sciences and TechnologyVol.4[1]March, (2013)

  • On physical distributions in Brans-Dicke cosmology under flat Robertson-Walker universe” Research Journal of Physical and Applied SciencesVol.2(1), pp 344-348, (2013)

  • Cosmological models with time dependent cosmological and gravitational constants” at Int. Research J. of Eng. Sc, Tech. and InnovationVol.1(8), pp200-203, November (2012) (UGC CARE List)

  • String cosmological models in Brans-Dicke theory of five dimensional space-time” Research in Astron. and AstrophysicsIOP JournalVol.12 No.1, pp.39- 45,(2012) (UGC CARE List)

  • On cosmic string Universes embedded with Viscosity” Chinese Physics Letters.Chinese Physics LettersIOP JournalVol.28 , No.10 pp 1011021-101123(2011) (UGC CARE List)

  • Early-Universe and Evolution of the present Universe :Exact Solution Models” Int. Journal of Modern PhysicsVol. 02.No.08 pp.817-825 (2011)

  • Viscous Cosmological Model with Variable Gravitational and Cosmological Constants” Int.J.Theor.Phys.Vol.50, No.8 pp.2486-2492(2011) (UGC CARE List)

  • Radiating two-fluid universes coupled with a scalar field at Research in Astron. and Astrophysics, Vol.11 No.3, pp.271- 285, (2011) (UGC CARE List)

  • Rotational Perturbations of Friedmann Universe Endowed with a Slight Rotation” at Bulgarian J.of Physics Vol No. 37, pp. 176-183, (2010). (Old UGC Journal List)

  • On Robertson-Walker universe model with variable cosmological term and gravitational constant in cosmological relativity theory” Turk. J. Phys.Turkish J. of PhysicsVol. No. 34, pp. 1-8 (2010) (UGC CARE List)

  • Matter Distribution in Viscous Universes involving variable Cosmological constants and Gravitational Units” at Acta Ciencia Indica Vol.XXXIII, No.3, pp 687(2007)

  • On zero-Mass scalar field interacting with the gravitational field in presence of charged perfect fluid in spherically symmetric Conformally flat Space-times”Acta Ciencia Indica Vol.XXXIII, No.3, pp 857 (2007)



(ii)Published 1 (One) book with International Publisher LAMBERT Academic Publishing, German



  • As Invited Speaker and Paper Presentation in International Seminar/Conferences


(i) Acts 6 (Six) times as Invited Speaker/ Resource Persons in Seminar/Conferences.

(i) Presented 8 (Eight) Papers in International /National Seminar/Conferences.



As an Organizer of Seminar/Conferences

  1. Organized 1(One) Week Workshop on “Recent Trends in Mathematical Sciences” as a Head of Department and Chairman of the Organizing Committee.

  2. Organized 1 (One) day National Seminar Cum Awareness Program on Intellectual Property Rights as the Coordinator of IPR Cell Bodoland University.

  3. Organized 1(One) day “Regional Seminar on Intellectual Property and Cultural Heritage in Globalization Era” as the Coordinator of IPR Cell Bodoland University.

  4. Organized 2(Two) days National Conference on Emerging Trends in Advanced Mathematical Sciences and its Interdisciplinary Areas” as a Convener of the Organizing Committee.

  5. Acts as Conference Organizing Co-Chair “International Conference on Advancement in Interdisciplinary Research-2021, Springer Jointly Organized by Springer, Dr Bhimrao Ambedkar University, Agra and FIRMS India, Jaipur June 4-6, 2021.



Other Participations in National Seminar, Workshop Refresher Courses

& Orientation Programme etc.


1. Participated in 3(Three) U.G.C Sponsored Refreshers courses.

2. Participated in 2 (two) days Seminar on “Teachers Accountability in Higher Education” sponsored by Directorate of Higher Education, Government of Manipur.

3. Participated in 3(Three) days Seminar-Cum- Workshop on “Reforms of CurriculaAnd Syllabi for First Degree Courses sponsored by Directorate of Higher Education, Government of Manipur.

4. Participated in National Level “Instructional Workshop on Cryptology” Conducted jointly by CRSI,

Kolkata, IMS, Chennai and Manipur University, Imphal during May 5-7, 2010.


5. Participated in the Two Weeks Workshop on Mathematica, 7-21 September, 2011.Sponsored by Manipur University and Organized by Department of Mathematics, Manipur University, Imphal.


6. Participated in VIIth International Conference on Gravitation and Cosmology, Goa, India. Organized by International Centre for Theoretical sciences of TIFR, Mumbai. (Tata Institute of Fundamental Research, Mumbai), 14-19 December, 2011.

7. Participated in 2 (Two) days workshop on “Gender Sensitization” Organized by Women’s Study Centre, Manipur University, during 29th – 30th March, 2012.


8. Participated in UGC- Sponsored 23rd Orientation Programme Organized by UGC-Academic staff College Manipur University, (16 June-14 July), 2014.


9. Participated A One Week Online International Faculty Development Program on “ Recent Advances in Mathematrics & Statistics” organized by Department of Mathematics, Institute of Science and Center of Learning & Sustainability, 3-8 August, 2020

10. Participated International Webinar on Relativity & Cosmology, Organized by Department of Mathematical Sciences, Bodoland University, 9th August, 2020

11.Participated NATIONAL WEBINAR On National Education Policy 2020: Future Research & Innovation Arena, Organized by Dept. of Commerce, Bodoland University In association with Bharatiya Shikshan Mandal, Uttar Assam Prant, 30th August 2020


12.Participated Webinar on “Recent Advances in Applied Sciences” organized by Department of Mathematics and Department of Physics, National Institute of Technology Manipur, 12-16 Dec, 2020



Co-Curricular Extension and Institutional Development Activities

1. Member of College Election Committee 2007-2008.

2. Member of College Examination Committee.

3. Member College Construction Committee for the construction works funded by U.G.C/Directorate of Univ.& Hr. Education, Govt. of Manipur.2008, 2011-2012.

4.Acts as a member of Bodoland University Construction Committee.


Others Experiences

  1. Completed Computer Course in Information Technology Tool &Applications, Programming in BASIC &Pascal and Introduction to C & Matlab Programming

  2. Completed Social Animators Training Programme Sponsored by CAPART, New Delhi.

  3. Completed the 2 (Two) Weeks Workshop on Mathematica, Sponsored by Manipur University, Imphal 7-21 September, 2011.