Dr Shiv Datt Kumar

CURRICULUM VITAE
NAME : DR SHIV DATT KUMAR
PRESENT POSITION : Associate Professor & Head
Department of Mathematics
Motilal Nehru National Institute of Technology, Allahabad (U.P.), India
Pin - 211004
Phone - +91-532 2271806, +91-9452880914
E-MAIL : sdt@mnnit.ac.in and shivdattk@yahoo.com
DATE OF BIRTH : 10th August, 1965
NATIONALITY : Indian
EDUCATIONAL QUALIFICATION :
Examination Board/University Year Division Remarks
M.A.(Maths) Allahabad University 1988 First IInd Position in Alld. Univ.
Post M.Sc.(Maths) Harish-Chandra Research 1993
Institute, Allahabad
NET(National UGC-CSIR June 1993 Eligibility Test)
Ph.D. Harish-Chandra Research 2003 Sub.-Commutative Algebra
Institute (Alld. University)
RESEARCH INTERESTS : Commutative Algebra, Algebraic Geometry, Fuzzy theory,
Operation Research.
RESEARCH AWARDS/FELLOWSHIPS RECEIVED
• Mathematics Research Fellowship at the Abdus Salam, International Centre For Theoretical
Physics, Trieste, Italy from May 18 to July 17, 2009.
• Mathematics Research Fellowship at the Abdus Salam, International Centre For Theoretical Physics, Trieste, Italy from May 18 to June 17, 2008.
• Visiting Scientist at the Johann Radon Institute for Computational and Applied Mathematics(RICAM), Linz, Austria from May 15, 2006 to June 15, 2006.
• Mathematics Research Fellowship at the Abdus Salam, International Centre For Theoretical Physics, Trieste, Italy from June 1, 2004 to September 2, 2004.
• Junior and Senior Research Fellowships at Harish-Chandra Research Institute, Jhusi, Allahabad in Commutative Algebra from 14th August, 1992 to 9th May, 1996.
FOREIGN COUNTRY VISITED FOR ACADEMIC PURPOSE:
Italy (Trieste) - 2004, 2006, 2008, 2009

Iran (Zonjan) - 2005
Spain (Madrid) - 2005
Austria (Linz) - 2006
Turkey (Istambul) - 2008
Vietnam (Hanoi)- 2011
Singapore - 2011
OTHER AWARDS : Received Best Teacher Award in Government P. G. College, Ramanagar
(Nainital) Uttrakhand in 2004.
REVIEWER OF INTERNATIONAL JOURNALS :
1. Turkish Journal of Mathematics, published from Ankara, Turkey.
2. International Journal of Information Technology & Decision Making.
REVIEWER OF BOOKS : “Higher Engineering Mathematics00 of Pearson Education Publication, New Delhi
RESEARCH PUBLICATIONS: REFEREED INTERNATIONAL JOURNALS
1. Group graded associated ideals with flat base change of rings and short exact sequences, Proceedings Mathematical Sciences, (Springer Publication), Indian Acad. Sci., Vol. 121, No. 2,February 2011, pages 111–120 (with Srinivas Behara).
2. On projective modules and computation of dimension of a module over laurent polynomial ring, ISRN Algebra (Hindawi Publication, USA), Volume 2011, Article ID 926165, 12 pages, doi:10.5402/2012/926165 (with Ratnesh Mishra and Srinivas Behara).
3. Uniqueness of graded primary decomposition of modules graded over finitely generated abelian groups, Communications in Algebra, Taylor and Francis Publication, Vol 39 (7), 2011,
pages 2607-2614 (with Srinivas Behara).
4. An approach for multiobjecive linear plus linear fractional programming problem, International electronic journal of pure and applied mathematics Volume 2, No. 3 (2010) (with Pitam Singh & R. K. Singh).
5. Fuzzy Method for Multiobjecive Linear Plus Linear Fractional Programming problem, International
Mathematical Forum, Vol 5 ( No. 60) 2010, 2971 - 2983 (with Pitam Singh & R.
K. Singh).
6. On a variant of Bertini’s theorem and generator of ideals of a polynomial ring with monic polynomials, International Journal of Algebra, Vol 3, 2009, no. 17, 863 - 872 (with Priti Singh).
7. Primary Decomposition Over Rings Graded by Finite Abelian Groups, Journal of Algebra, Elsevier Publication, 318(2), 2007, 553-561 (with Markus Perling).
8. Sections Of Zero Dimensional Ideals Over A Noetherian Ring, Archiv der Mathematik, Birkhauser Verlag Basel, Switzerland Publication, 89, 2007, 124-130.

9. Some Important Notions of Grobner Basis and Buchberger’s Algorithm, RICAM, website of Grobner basis, Linz, Austria, 2006.
http : //www.ricam.oeaw.ac.at/Groebner−Bases−Bibliography/gbbib files/publication 1194.
10. A Note on a graded ring analogue of Quillen’s Theorem, Expositiones Mathematicae, Elsevier Publication, Vol 22, 2004, 29-30.
11. Lifting of generators of an ideal and Nori’s Homotopy Conjecture, Indian Journal of Pure and Applied Mathematics, Indian National Science Academy Publication, Vol 34 (11), 2003, 1599-1610 (with Ramji Lal).
12. Some Results On Generators Of An Ideal, Journal of Pure an Applied Algebra, Elsevier Publication, Vol. 169 (1), 2002, 29-32 (with Satya Mandal).
13. Surface Modification of Semiconductor Photo-electrode for improved Solar Cell performance, Solar Energy Materials and Solar Cells, Elsevier Publication, Volume 91, Issue 18, 2007, 1663-1668(with M. Tripathi and K. Pandey).
14. Analogue of Eakin Sathye Theorem over Rees Algebra, UNESCO & International Atomic Energy Agency, ICTP, IC/049/2009.
15. G-associated ideals with flat base change of rings and short exact sequences, UNESCO & International Atomic Energy Agency, ICTP, IC/048/2009 (with Srinivas Behara).
16. On an analogue of a theorem of Horrocs, (with Raja Sridharan and R.K. Mishra)(to appear).
17. A note on a lifting of generators of ideals and Murthy’s conjecture as an analogue of Quillen-Suslin theorem (to appear).
(b) IN INTERNATIONAL CONFERENCES :
1. Lifting of generators of an ideal over Laurent polynomial ring, International Congress of Mathematicians, 2010, Hyderabad, August 19-27, 2010 (with Ratnesh Kumar Mishra).
2. Fuzzy Efficient and Pareto - Optimal Solution For Multiobjective Linear Plus Linear Frational Programming Problem, International Conference on Computer and Communication (ICCCT-2010) (IEEE Conference) September 17-19, 2010, MNNIT, Allahabad (with Pitam Singh & R.K. Singh)
3. Analogue of Eakin Sathye Theorem over Rees Algebra, International Congress of Mathematicians, 2010, Hyderabad, August 19-27, 2010 (with Priti Singh).
4. Sections of Zero Dimensional Ideals over a Noetherian Ring at the CIMPA-UNESCO- Spain School during August 14-21, 2006, Universidad Complutense de Madrid, Madrid, Spain.
5. Homotopy of Sections of Ideals over a Noetherian ring , School and Conference on Algebraic K-Theory and its Applications (May 14 - June 1, 2007), Abdus Salam, International Centre For Theoretical Physics, Trieste, Italy.
6. “Projective Modules and completion of an unimodular row to an elementary matrix00 74th Annual Indian Mathematical Society Conference at Allahabad University, Allahabad, during December
27 - 30, 2008.
(c) IN NATIONAL CONFERENCES :

1. ”Projective modules and completion of an unimodular row to an elementary matrix” Indian Mathematical Society Conference at Allahabad University, Allahabad, during December 27-30, 2008.
2. “Some Remarks on Grobner basis00 in the national conference on “Material Science in the service of society 00 at the CMP Degree College, Allahabad University, Allahabad during February 5-6, 2008. In this conference also worked as Joint Secretary.
3. ”On Generators of Ideals over a Noetherian Ring”, Recent Trends in Mathematics, Aligarh Muslim University, March 24 - 26, 2001.
4. “Lifting of generators of zero dimensional ideals over Noetherian rings00 ACADEMICA at M.B. Govt. P. G. College, Haldwani, Nainital during March 11-12, 2005.
RESEARCH PROJECTS:
1. National Board of Higher Mathematics sanctioned a research project entitled ”Study of Rees Algebra, graded rings in module theoretic setup and its applications” of Rs 707850/- for three
years.
2. DST(Department of Science and Technology), Govt of India, sanctioned a research project ”Graded modules over rings graded by finitely generated abelian groups” in 2010 for three years.
TEACHING EXPERIENCE :
Position Held Institution From To Nature of Job Associate Professor Motilal Nehru National June 20, 2008 Continue Teaching
Institute of Technology, Allahabad and Research Assistant Professor Motilal Nehru National June 20, 2005 June 19, 2008 Teaching (Reader) Institute of Technology, Allahabad and Research
Senior Lecturer Govt. P. G. College, May 19, 2003 June 19, 2005 Teaching Ramnagar(Nainital) and Research Lecturer(Maths) Govt. P. G. College, Dec 29, 1998 May 18, 2003 Teaching
Ramnagar(Nainital) and Research Lecturer(Maths) Allahabad Degree College, Nov 03, 1997 Dec 28, 1998 Teaching
Allahabad University, Allahabad and Research Lecturer(Maths) Ewing Christian College, Sept 2, 1996 May 28, 1997 Teaching
Allahabad University, Allahabad and Research Lecturer(Maths) Nagaland University, May 9, 1996 Sep 1,1996 Teaching
Medziphema, Nagaland and Research
PGT(Maths) Army School, Srinagar(J and K) Oct 15, 1990 Aug 9, 1992 Teaching
Ph.D. GUIDANCE EXPERIENCE : The following students have submitted the Ph.D.thesis
under my supervision at MNNIT, Allahabad.
1. Mr Srinivas Behara
2. Mr Pitam Singh - MNNIT faculty (with Prof R. K. Singh)
Presently supervising six Ph.D. students at MNNIT, Allahabad
1. Mr Ratnesh Kumar Mishra- MNNIT Visiting Faculty
2. Ms Priti Singh (Institute Fellowship)
3. Ms Mamta Balodi (CSIR Research Fellowship) with Prof Hua Lin-Huang
4. Ms Jyoti Singh (NBHM Project fellow)
5. Mr Sumit Kumar Upadhyay (CSIR Research Fellowship)
6. Mr Srinivas Thota, (Part Time - Off Campus)
M.Sc. Thesis Supervision : The following two students have submitted the M.Sc. thesis at MNNIT, Allahabad
1. Ms Priyanka Singh 2009-10
2. Mr Atul Srivastav 2010-11
COURSES TAUGHT :
• At Under Graduate Level : Algebra, Linear Algebra, Calculus, Real Analysis, Complex Analysis, Numerical Analysis, Discrete Mathematics, Statics and Dynamics.
• Post Graduate Level : Algebra, Computational Algebraic Geometry, Topology, Operations Research, Optimization Techniques, Fuzzy Theory, Weblet Theory, Mathematical Modeling and
Complex Analysis.
INIVITED TALKS/SEMINARS GIVEN OUTSIDE THE PERMANENT INSTITUTE:
1. Gave an invited talk on ”Applications of Mathematics and Cryptography” as a resourse person in a training programme/workshop of HRD Ministry, Hindi Shabdawali Ayog, at Janta Degree
College, Bakewar, Etawa on September 30, 2011.
2. Gave invited talks (7 lectures) as a resourse person in a DST workshop (UGTPM) in IIT, Patna during May 15-20, 2011.
3. Gave invited talk as a resourse person on “Cryptography and Importance of Mathematics“ in a national workshop of HRD Ministry, Hindi Shabdawali Ayog, on March 03, 2011 at Vivekanand P.G. College, Dibiyapur, Oraiya.
4. Gave an invited talk on “Braid and transversal based crypto system00 in the CIMPA-Vietnam school on “Braids in Algebra, Topology and Geometry00 at the Institute of Mathematics, Hanoi, Vietnam during January 17-28, 2011.
5. Gave two invited talks as a resourse person in the UGC Sponsored National Workshop on Emerging Areas of applications of Mathematics in B.C.S. Government P.G. College, Dhamtari, Chhattisgarh during October 27 -28, 2010 one on Representations of finite groups and another on Finite field extensions and Galois theory.
6. Presented research paper Analogue of Eakin Sathye Theorem over Rees Algebra in the International Congress of Mathematicians, Hyderabad, during August 19-27, 2010.
7. ”Projective Modules and completion of an unimodular row to an elementary matrix”, Indian Mathematical Society Conference at Allahabad University, Allahabad, during December 27-30, 2008.

8. Gave a talk on ”Homotopy of Sections of Ideals over a Noetherian ring” in the School and Conference on Algebraic K-Theory and its Applications (May 14 - June 1, 2007) at the Abdus
Salam, International Centre For Theoretical Physics, Trieste, Italy.
9. Gave an invited talk on the research paper “Sections of zero dimensional ideals over a Noetherian ring ” at the CIMPA-UNESCO- Spain School from on 14-21 August, 2006 at Universidad Complutense de Madrid, Madrid, Spain.
10. Gave a talk on the topic “Projective modules and generators of an ideal over Noetherian rings” at Allahabad University in Feb, 2005.
11. Gave a seminar on the topic “Sections of projective modules and a question of Nori” at the The Abdus Salam, International Centre For Theoretical Physics, Trieste, Italy on 27th
August, 2004.
12. Delivered an invited talk on the topic “Projective generation of ideals” at the national seminar organized by Jammu Mathematical Society and Dept. of Mathematics, Jammu University from
20-22 February, 2004.
13. Delivered a talk on the topic ”Generators of ideals” at the University of Allahabad in June, 2001.
14. Presented a paper entitled ”Lifting of generators of ideals over a Noetherian ring” presented in the national level conference at Aligarh Muslim University in March, 2001.
15. Talk on the topic “Homotopy sections of projective modules over a Laurent polynomial ring” at Harish Chandra Research Institute, Allahabad in June, 2000.
16. Seminar on the topic of “Set theoretic complete intersection ideals” at Harish Chandra Research Institute(old MRI), Allahabad in 1995.
U.G.C. SPONSORED ORIENTATION PROGRAM / REFRESHER COURSE ATTENDED:
• Participated in National level U.G.C. sponsored Refresher Course in Mathematics from 20th January, 2005 to 9th February, 2005 in the Academic Staff College, Allahabad University, Allahabad.
• Participated in National level U.G.C. sponsored Orientation program from 27 Sep., 2001 to 25 Oct., 2001. in the Academic Staff College, Allahabad University, Allahabad.
• Participated in National level U.G.C. sponsored Refresher Course in Mathematics from 27th February, 2001 to 30th March, 2001. in the Academic Staff College, Aligarh Muslim University, Aligarh.
EXPERIENCE OF ACADEMIC ADMINISTRATION :
1. Working as a Warden-Incharge - C.V. Raman Hostel, Motilal Nehru National Institute of Technology, Allahabad from July, 2010 to Continue.
2. Working as Warden-Incharge - R.N. Tagore Hostel, Motilal Nehru National Institute of Technology, Allahabad from November, 2010 to Continue.
3. Working as a Coordinator, M.Sc.(Mathematics and Scientific Computing) program, Motilal Nehru National Institute of Technology, Allahabad from July, 2010 to continue.

4. Worked as a President, Student Activity Centre (officiating), Motilal Nehru National Institute of Technology, Allahabad from March 22, 2010 to April 29, 2010.
5. Worked as a Convenor, Departmental Under Graduate Committee (DUGC) in the Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad from June, 2008 to August, 2010.
6. Worked as a Coordinator, Athletics and Gymnastic Activities, Students Activity Centre, Motilal Nehru National Institute of Technology, Allahabad from July, 2008 to August, 2010.
7. Worked as a Convenor, Departmental Post Graduate Committee(DPGC) in the Department
of Mathematics, Motilal Nehru National Institute of Technology, Allahabad from June, 2005 to June, 2008.
8. Worked as a Hostel Warden in the Govt. Post Graduate College, Ramnagar (Nainital),
Uttrakhand (India) from September, 2004 to June, 2005.
9. Worked as a N.C.C. Officer (ANO) in the Govt. Post Graduate College, Ramnagar (Nainital), Uttrakhand (India) from March, 1999 to May, 2004.
10. Worked as a Assistant Hostel Warden and Proctor (Science faculty) in the Govt. Post
Graduate College, Ramnagar (Nainital), Uttrakhand (India) from March, 1999 to August, 2004.
11. Worked as a Dean (Science faculty) in the Govt. Post Graduate College, Ramnagar (Nainital), Uttrakhand (India) from August, 2000 to May, 2004.
COMPUTER COURSE :
• One year Diploma in Computer Application ( “O” Level ) from Electronics Services and
Training Centre, Kania, Ramnagar(Nainital).

SEMINARS / CONFERENCES ATTENDED:
INTERNATIONAL LEVEL
1. Participated and gave an invited talk on “Braid and transversal based crypto system00 in the
CIMPA-Vietnam school on “Braids in Algebra, Topology and Geometry00 at the Institute of
Mathematics, Hanoi, Vietnam during January 17-28, 2011.

2. International Conference on Computer and Communication (ICCCT-2010) (IEEE Conference),
September 17-19, 2010, at MNNIT, Allahabad
3. Participated in the International Conference “International Congress of Mathematicians00, Hyderabad,
August 19-27, 2010 and presented paper entitled “Analogue of Eakin Sathye Theorem
over Rees Algebra”.
4. Participated in the “Summer School and advanced workshop on trends and developments in Linear Algebra during June 22-July 10, 2009 at the Abdus Salam, International Centre For Theoretical Physics, Trieste, Italy.
5. Participated in the School and workshop on “Integrable systems and Scientific Computing00 during June 15-20, 2009 at the Abdus Salam, International Centre For Theoretical Physics,
Trieste, Italy.
6. Participated in the Indian Mathematical Society Conference at Allahabad University, Allahabad,
during December 27-30, 2008 and presented a paper entitled ”Projective Modules and completion
of an unimodular row to an elementary matrix”.
7. Participated in the School and Conference on Differential Geometry (June 2 - June 20, 2008) at
the Abdus Salam, International Centre For Theoretical Physics, Trieste, Italy.
8. Participated in the, School and Conference on Algebraic K-Theory and its Applications (May
14 - June 1, 2007) at the Abdus Salam, International Centre For Theoretical Physics,
Trieste, Italy and presented research paper “Homotopy of Sections of Ideals over a Noetherian ring”?.
9. Participated and gave an invited talk on the research paper on “Sections of zero dimensional ideals over a Noetherian ring ” at the CIMPA-UNESCO- Spain School from on 14-21 August, 2006 at Universidad Complutense de Madrid, Madrid, Spain.
10. Participated in the “ Special Semester on Groebner Basis and related methods” from May 15, 2006 to June 15, 2006 at Johann Radon Institute for Computational and Applied Mathematics(RICAM), Linz, Austria.
11. Participated in “CIMPA-UNESCO-IRAN School on Groebner bases and its Application00 during 9-22 July, 2005 at the Institute for Advanced Studies In Basic Sciences, Zanjan, IRAN.
12. Participated in “Advanced School and Conference on Non-Commutative Geometry during 9-27 August, 2004 at the The Abdus Salam, International Centre For Theoretical Physics, Trieste, Italy.
13. Participated in the international school on “Commutative Algebra interaction with Algebraic Geometry and combinatorics00 from 2nd June to 11th June, 2004 at the The Abdus Salam,
International Centre For Theoretical Physics, Trieste, Italy.
14. Participated in the International workshop on “Computational Algebraic Geometry’ during 8-13 Dec., 2003 at H.R.I., Allahabad jointly organized by Bhaskaracharya Pratisthan, Pune and
H.R.I., Allahabad.
15. Participated in the International Conference and Instructional School on “Homological Methods in Commutative Algebra00 to 27th Nov. to 16th Dec., 2000 at HBCSE (TIFR), Mumbai.
16. Participated in the “International symposium on rings, modules and groups with homological techniques and their applications at I.T., B.H.U. Varanasi during 18 - 21 Dec., 1995.
NATIONAL LEVEL
17. Participated and gave invited talks (7 lectures) as a resourse person in a DST workshop (UGTPM)
in IIT, Patna during May 15-20, 2011.
18. Participated in the national seminar during 20-22 February, 2004 at Jammu University and delivered an invited talk on the topic “Projective generation of ideals
19. Participated in the National workshop on “Computational Algebraic Geometry’ during 2 - 11th
Jan., 2003. in H.R.I., Allahabad.
20. Participated in the National level “Instructional School on Linear Algebra” during Dec 3-15,
2001. in Harish- Chandra Research Institute, Jhunsi, Allahabad.
21. Participated in the National level Conference on “ Recent trends in mathematics” during March
24-26, 2001 and presented paper entitled “Lifting of generators of an ideal” in Aligarh Muslim
University, Aligarh. .
22. Participated in the National Conference on “Commutative Algebra and and Algebraic Geometry’
during Feb 1-3, 1999 in HRI (Old Mehta Research Institute), Jhusi, Allahabad.
23. Participated in the Seminars on “Infinite Permutation Groups00 in I.I.T., Guwahati during August 6-15, 1996.
24. Visited Institute of Mathematical Sciences, Chennai, TIFR, Mumbai and H.R.I., Allahabad several times.
25. Participated in I.S.I. winter and summer schools on non-commutative Harmonic Analysis at I.S.I., New Delhi, and I.I.Sc., Bangalore respectively.