CURRICULUM VITAE Dr. Noor Mohammad Khan Phone: +91-9837768011 (mobile), Email: nm_khan123@yahoo.co.in Noormohammad.khan@gmail.com EDUCATIONAL HISTORY Ph.D. (1983) Mathematics, From Monash University, Australia. Name of the Supervisor: Dr T.E. Hall (Thomas Eric Hall) Topic of Ph.D. Thesis: On epimorphisms, dominions and varieties of semigroups. (Evaluated by Prof. J.M.Howie of University of St. Andrews, Scotland&Prof.H. E. Scheiblich of University of South Carolina, USA. ) M.Sc. (1976)Mathematics, From Aligarh Muslim University Aligarh, India (aprox.88% & 2 nd rank in order of merit) B.Sc. Hons(1974)Mathematics, From Aligarh Muslim University Aligarh, India. (aprox. 84% & 1 st rank in order of merit in the F/O Science) AREA OF SPECIALISATION Pure Mathematics: Algebra (The algebraic theory of semigroups) INTERNATIONAL RECOGNITION OF THE RESEARCH WORK A part of my research work has been included in the monograph "Techniques of Semigroup Theory" by P.M. Higgins published by OXFORD UNIVERSITY PRESS (1992) (pages 155-156). RESEARCH INTEREST Modern Algebra (The Algebraic Theory of semigroups) 1
EMPLOYMENT HISTORY CUM TEACHING EXPERIENCE (Approx. 34 years in AMU + 5 years as a casual Tutor in Australia) (1) 16 th June 2007 till date Professor, Department of Mathematics (about 11 years) A.M.U. Aligarh, India Nature of duties: Teaching and Research (2) 1st January 2006 to 15 th June 2007 Associate Professor, Department of (about 1year and 6 months) Nature of duties: Teaching and Research Mathematics A.M.U. Aligarh, India (3) 28 th March 1997 to 31 st Dec. 2005 Reader, Department of Mathematics (About 9 years) A.M.U. Aligarh, India Nature of duties: Teaching and Research (4) 28 th March 1989 to 27 th March 1997 Senior Lecturer, Department of Mathematics (About 8 years) A.M.U.Aligarh, India Nature of duties:teaching different courses in Mathematics to Graduate and Post-Graduate students and Research. (5) 16 th July 1985 to 27 th March 1989 Lecturer, Department of Mathematics (approx. 3 years and 7 months) A.M.U.Aligarh, India Nature of duties:teaching different courses in Mathematics to Graduate and Post-Graduate students and Research. 6) 16 th May 1985 to 15 th July 1985 Research Associate, Department of Mathematics (2 months) A.M.U.Aligarh, India Nature of duties:teaching Mathematics to Undergraduates and Research 2
(7) 27 th March 1985 to 15 th May 1985 Lecturer, Department of Mathematics (approx. 1 month and 19 days) A.M.U.Aligarh, India Nature of duties:teaching different courses in Mathematics to Graduate and Post-Graduate students and Research. (8) 7 th March 1984 to 26 th March 1985 ResearchAssociate, Department of Maths. (About a year) A.M.U. Aligarh, India Nature of duties:teaching Mathematics to Undergraduates and Research. (9) mid 1978 to mid 1983 Casual Tutor, Department of Mathematics (Aprox. 5 years) Monash University,Victoria, Australia Nature of duties: Conducting Practice classes and Tutorials for undergraduates. SCHOLARSHIPS Monash graduate Scholarship, From Monash University, Australia (during PhD), C.S.I.R. Junior Research Fellowship, From C.S.I.R., India, Merit Scholarship, From A.M.U. Aligarh, India (during M.Sc.). ADMINSTRATIVE SKILLS (1) Serving as Sessional Inchrge (both for undergraduates and postgraduates) in the Department from 2002 Nature of Duties:To deal with Students complaints and their problems regarding their sessionals and to ensure free, fair and smooth conduct of their sessionals. (2) Served as a member of grievance committee of the department for 2 years. Nature of responsibilities:to look into and try to resolve various academic problems of the Undergraduate and postgraduate students of the department. (3)Worked as an Assistant superintendent of examination since 2010-11 till end of 2012 (Approximately two and a half years) Nature of responsibilities: Conduction of Examinations of Undergraduate as well as of Post-Graduate students of the department in free and fair manner MEMBER OF ACADEMIC BODIES Life member of Indian Mathematical Society. 3
VISITS ABROAD Australia for Ph. D. from mid 1978 till mid 1983. New Caledonia for 3 days in 1979 as a social visit. Malaysia for 10 days in 1984 as a social visit. Visited International Centre for Theoretical Physics (ICTP), Italy in 1990 for a monthto attend a course in Mathematics Edited Book Algebra and Analysis Theory and Applications, Narosa publishing House (with Mohammad Imdad). RESEARCH PAPERS PUBLISHED, ACCEPTED OR COMMUNICATED (1) Epimorphisms, dominions and varieties of semigroups Semigroup Forum, 25, (1982), 331-337. (2) Some saturated varieties of semigroups Bull. Austral. Math. Soc.,27, (1983), 419-425. (3) On saturated permutative varieties and consequences of permutation identities J. Austral. Math. Soc., (Series A),38, (1985), 186-197. (4) Epimorphically closed permutative varieties Trans. Amer. Math. Soc.,287, (1985), 507-528. (5) Homotypical identities and saturated varieties The proceedings of the International Conference on ALGEBRA AND ITS APPLICATIONS held at AMU, ALIGARH, INDIA (Nov. 13-16, 1997), 171-177. (6) On dominions of semigroups, J. Nat. Acad. Math. Vol. 15 (2001), 20-24. (7) A note on dominions of semigroups and permutation identities, J. Nat. Acad. Math. Vol. 15 (2001), 35-39. (8) On epimorphisms, homotypical identities and permutative varieties, The Aligarh Bull. Of Maths., Vol. 25, No. 1(2006), 17 21. (9) On permutative saturated semigroups, J. Rajasthan Acad. Phy. Sci. Vol. 5, No. 2 (2006), 159-166. (10) On products and coproducts in Comma categories, Rev. Bull. Cal. Math. Soc. Vol. 14(1) (2006), 63 66. (With M. Irfan as a first author) 4
(11) On epimorphically closed homotypical permutative varieties, KUSET. Vol. I, No 3 (2007), 1 6. (12) On G-Sets, J. Nat. Acad. Math. Vol. 21 (2007), 118 128 (2008).. (With Zaidi S. M. A; M. Irfan & Gulam Muhiuddin) (13) Epimorphisms, dominions and permutative semigroups, Semigroup Forum, 80, (2010), 181 190. (With A.H. Shah as a second author) (14) Epimorphisms, Dominions and Seminormal Identities, Semigroup Forum, 80, (2010), 219-241. (With A.H. Shah as a second author) (15) Epimorphisms and Heterotypical Identities, Algebra and its Applications (2011), 111-126.(With A.H. Shah, Noor Alam, Wajih Ashraf) (16) On Epimorphisms and right[left] regular semigroups, The South-East Asian Bull. Of Mathematics, 36(2012), 243-248. (With A.H. Shah as a second author) (17) Epimorphisms and Heterotypical Identities II,Journal of Semigroup Theory and Applications, 1 (2012), No.1, 1-28. (With Wajih Ashraf as a first author) (18) Epimorphisms, dominions and regular semigroups, J. Semigroup Theory and Appl., 1 (2012), No. 1, 34-45. (With Noor Alam as a first author) (19) Epimorphisms, dominions and classes of closed regular Semigroups,JMI International J. of Mathematical Sciences, Vol. 3(1), (2012), 37-45. (With Noor Alam as a first author) (20) A note on Isbell's zigzag theorem for commutative Semigroups, Algebra letters, 1 (2012), No. 1, 22-27. (With Noor Alam as a first author) (21) Epimorphisms, dominions and seminormal identitiesii, Semigroup Forum, 87, (2013), 97-119. (With A.H. Shah as a second author) (22) Special Semigroup Amalgams of Quasi Unitary Subsemigroups and of Quasi Normal Bands, Asian European J. Of Mathematics, Vol. 6, No. 1 (2013). DOI: 10.1142/S1793557113500101 (7- pages). (With Noor Alam as a first author) (23) On Epimorphisms and Seminormal Identities, Journal of Semigroup Theory and Applications, 2013 2013:1, 1-24. (With Wajih Ashraf as a first author) (24) On Epimorphisms and Semigroup identities,algebra 5
Letters, 2013, 2013:2 (41 pages). (With Wajih Ashraf as a first author) (25) Epimorphisms, closed and supersaturated semigroups, Communications in Algebra, 42 (2014) 1-10. (With Noor Alam as a first author) (26) Embedding of special semigroup amalgams, Thai J. of Mathematics, Vol. 12, No. 1 (2014) 133-143. (With Noor Alam as a first author) (27) "ON EPIMORPHISMS AND SEMIGROUP IDENTITIES", The Aligarh Bulletin of Mathematics,Vol. 33, No. 1-2 (2014) 105-119. (with Aftab Hussain Shah as a first author) (28) Epimorphisms, dominions and inflations of Clifford semigroups, Algebra and Applications: Theory and Applications, Narosa Publishing House Pvt. Ltd., New Delhi, India (2015). (With Noor Alam and A.H. shah as a first and second author) (29) On closed and supersaturated semigroups,malaysian J. of Mathematical Sciences, 9(3) (2015), 409-416. (With Noor Alam as a first author) (30) ON SUPERSATURATED SEMIGROUPS, J. of Advances in Applied and Computational Mathematics 2(2) (2015), 1-3. (With Noor Alam as a first author) (31) Study on interval valued generalized fuzzy ideals of ordered semigroups, Annals of Fuzzy Mathematics and Informatics, 11(5), (2015), 783-798. (with J. Tang and M. A. Khan as a first and third author) (32) Ordered semigroups characterized by intuitionistic fuzzy ideal, Algebra and its Applications (Springer), Volume 174, (2016),. 397-420. (With M. A. Khan as a second author) (33) Ordered semigroups characterized in terms of generalized fuzzy ideals Journal of Intelligent and Fuzzy Systems, 32 (2017), 1045 1057. (with B. Davvaz, M. Aasim Khan as a second and third author) (34) Congruences, Green s relations, translational hull and legal semigroups, The Aligarh Bulletin of Mathematics, 36(1-2), (2017), 95-107. (with Abdus Salam and Wajih Ashraf as a first and second author) (35) ON (m, n)-regular le-semigroups AND (m, n)-ideal ELEMENTS Palestine Journal of Mathematics, 7(Special Issue: I, 2018), 43 49. (with Ahsan Mahboob and Abdus Salam as a second and third author) (35) Right-n-filter and (m, n)-filter on Ordered Semigroup, Journal of Taiba University. for Science, 13(1), (2018), 27-31. (with Ahsan Mahboob as a second author) 6
(36) Structural Properties for (m, n)-quasi-hyperideals in Ordered Semihypergroups, Tibilisi Mathematical Journal, 11(4), (2018), 145-163. (with Ahsan Mahboob and Bijan Davvaz as a first and third author) (37) On (m, n, gamma)-regular, (m, 0, gamma)-simple, (0, n, gamma)-simple and (m, n, gamma)-simple le-gamma-semigroups, Pacific Journal of Applied Mathematics, 9(2), (2018), 171-182. (with Ahsan Mahboob as a second author) (38) On (m, n)-regular le-semigroups and (m, n)-ideal elements, Proceeding of the International Conference on Algebra and its Application, Morocco (ICAA- 2017), (Proceeding), Palestine Journal of Mathematics, 7(1), (2018) 43-49. (with Ahsan Mahboob, Abdus Salam as a second and third author) (39) Pure ideals in ordered Gamma-semigroups, Proceeding of the International Conference on Algebra and its Application, A.M.U, Aligarh (ICAA-2016), (Proceedings in De Gruyter), (2018), 111-120. (with Ahsan Mahboob as a second author) (40) Characterization of Right Weakly Regular Ve(le)-Semigroups and Ideal Elements, JP journal of algebra number theory and applications, (Accepted). (with Ahsan Mahboob as a first author) CONFERENCES, SEMINARS AND REFERESHER COURSES ATTENDED (1) 43rd Conference of Indian Mathematical Society held at AMU, ALIGARH, INDIA (1977). (2) Algebra Symposium held at AMU, ALIGARH, INDIA (1985). (3) 52nd Conference of Indian Mathematical Society held at Jaipur University, Jaipur, INDIA(1986). (4) Academic Staff Orientation Programme held at AMU, ALIGARH, INDIA (April 4-30, 1988). (5) 54th Conference of Indian Mathematical Society held at University of Gorakhpur, Gorakhpur, INDIA(1988). (6) School on Qualitative aspects and applications of nonlinear evolution equations held at ICTP, Trieste, ITALY(Sept. 10 - Oct. 5, 1990). (7) Refresher Course in Mathematics held at AMU, ALIGARH, INDIA (Sept. 16 - Oct. 12, 1991). (8) 57th Conference of Indian Mathematical Society held at AMU, ALIGARH, INDIA(1991). 7
(9) Conference on Advances in Algebra held at AMU, ALIGARH, INDIA(1992). (10) 59th Conference of Indian Mathematical Society held at University of Muzaffarpur, Muzaffarpur, INDIA(1993). (11) 61st Conference of Indian Mathematical Society held at AMU, ALIGARH, NDIA(1995). (12) International Conference on Algebra and its Applications held at AMU, ALIGARH, INDIA(1997). (13) 67th Conference of Indian Mathematical Society held at AMU, ALIGARH, INDIA(2002). (14) International Symposium on The Theory of Rings and Modules held at AMU, ALIGARH, INDIA(May 7 8, 2003). (15) Recents Trends in Algebra and Analysis held at A.M.U., ALIGARH, INDIA (March 3-5, 2003). (16) International Conference on Analysis with Applications held at AMU, Aligarh, INDIA(Nov. 3 5, 2008). (17) International Conference on Algebra and its Applications held at AMU, Aligarh, INDIA(Feb. 20 22, 2010). (18) International Conference on Analysis and its Applications held at AMU, Aligarh, INDIA(Nov. 19 21, 2011). (19) International Conference on Differential Geometry and Relativity (in collaboration with Tensor Society) held at AMU, Aligarh, INDIA (Nov. 20 22, 2012). (20) "International Conference on Recent Trends in Algebra and Analysis with Applications" held at AMU, Aligarh, INDIA (Feb. 10 14, 2014). (21) " International Conference on Algebra and Analysis with Applications" held at AMU, Aligarh, INDIA (Dec.15 17, 2014). (22) International Conference on Semigroup Algebras and Applications held at CUSAT, Kochi, Kerala, India (Sept. 17 19, 2015). (23) "International Conference on Algebra and its Applications (ICAA-16)" held at AMU, Aligarh, INDIA (Nov. 12 14, 2016). (24) "International Conference on Analysis and its Applications" held at AMU, Aligarh, INDIA (Nov. 20 22, 2017). (25) "International Conference on Algebra and Discrete Mathematics (ICADM-2018)" held at Madurai Kamaraj University, Madurai, TN, INDIA (Jan. 08 10, 2018). 8
CO-CONVENER for the International Conference on Recent Trends in Algebra and Analysis with Applications held at AMU, Aligarh, INDIA (Feb. 10 14, 2014).. LECTURES DELIVERED AS A RESOURCE PERSON AND AS A INVITED SPEAKER (1) In UGC Refresher Course on Advances in Algebra and its applications held at AMU, ALIGARH, INDIA(Nov. 13-16, 1997). (2) In UGC Refresher Course on Modern Trends in Algebra held at AMU, ALIGARH, INDIA(Feb. 2-28, 1998) (3) In UGC Refresher Course on Recent developments in Algebra and its Applications held at AMU, ALIGARH, INDIA(Sept. 6 - Oct. 12, 1999). (4) In UGC Refresher Course on Allied topics in Analysis and Topology held atamu, ALIGARH, INDIA(Jan. 10 - Feb. 6, 2000). (5) In UGC Refresher Course on Algebra and Analysis held at AMU, ALIGARH, INDIA(Sept. 4-30, 2000). (6) In UGC Refresher Course on Analysis held at AMU, ALIGARH, INDIA (Feb. 27 - Mar. 30, 2001). (7) In UGC Refresher Course on Algebra held at AMU, ALIGARH, INDIA (July 23 - August 14, 2001). (8) In UGC Refresher Course on Analysis held at AMU, ALIGARH, INDIA (Feb. 4-22, 2002). (9) In UGC Refresher Course on Mathematical Methods held at AMU, ALIGARH, INDIA(July 22 - August 10, 2002). (10) In UGC Refresher Course on Analysis and its Applications held at AMU, ALIGARH, INDIA (Sept. 9 30, 2003). (11) In UGC Refresher Course on Algebra and its Applications held at AMU, ALIGARH, INDIA(Sept. 1 Sept. 22, 2004). (12) In UGC Refresher Course on Recent trends in Mathematics held at AMU, ALIGARH, INDIA(Nov. 19 Dec. 09, 2007). (13) In the International Conference Semigroup Algebras and Applications held at CUSAT, Kochi, Kerala, India (Sept. 17 19, 2015). (14) In the International Conference on Algebra and Discrete Mathematics (ICADM-2018)" held at Madurai Kamaraj University, Madurai, TN, INDIA (Jan. 08 10, 2018). 9
COURSE COORDINATOR Coordinated the UGC Refresher Course on Algebra held at AMU, ALIGARH, INDIA (Jan. 09-30, 2003) WORKED AS REFREE Aligarh Bulletin of Mathematics Department of Mathematics, AMU, Aligarh, India M.SC. PROJECTS, M.PHIL. DISSETATION AND PH. D. THESIS SUPERVISED M.Sc. Projects: Supervising projects and seminars for Post graduate students since 2007-2008. M. Phil. Dissertation Completed: seven(details below) Name of the student Area of specialization Title of M. Phil. Dissertation Year of the award Mohd. Iqbal Algebra Epimorphisms and Varieties of 2001 Khan Semigroups Mohd. Shaukat Algebra Dominions and VARIETIES OF 2002 Ansari SEMIGROUPS Aftab Hussain Algebra On varieties of semigroups 2006 Shah Noor Alam Algebra On Amalgamation of semigroups 2007 Wajih Ashraf Algebra Congruences on semigroups 2008 Subair Kuniyil Algebra On -semigroups 2010 Md. Firoj Ali Algebra Amalgamation in Pomonoids 2016 PhD Completed: Four (details below) Name of the student Area of specialization Title of Ph. D. Thesis Aftab Hussain Algebra On Shah Epimorphisms, Dominions and Semigroup Identities Wajih Ashraf Algebra Epimorphisms and Semigroup Identities Noor Alam Algebra On Epimorphisms and Dominions of Semigroups Date of award/ Foreign Examiner Viva-Voce 12 04-2010 Prof. (Dr.)T.E.Hall, Monash University,Australia 06 12-2012 Prof. K.P. shum The Chinese University of HongKong 22 03-2013 Prof. (Dr.)T.E.Hall, Monash University,Australia 10
Mohammad Aasim Khan Algebra On Study of Ordered Semigroups 06-07-2017 Prof. Dr. Nor Haniza Sarmin, Universiti Teknologi, Malaysia Submitted: One (01) on Dec. 27, 2018 (details given below) Name of the Candidate: Ahsan mahboob Title of the thesis: Characterizations of Certain Classes of Ordered Semigroups By Ideals And Ideal Elements And of Ordered Semihypergroups By Hyper- ideals Supervising: Two students for Ph.D. at present. COURSES TAUGHT At +2levels: Two and Three-dimensional Analytical Geometry, Foundations of Mathematics, logic, Sequences and Series, Binomial Theorem, Algebraic equations, Vectors, Discrete mathematics, Statistics, Permutations& Combinations, Probability, Linear Programming. At under Graduate level: Analytical geometry, Cone and Conicoids in three dimensional Geometry, Complex trigonometry, Linear algebra, First course on algebra, Numerical Analysis, Differential equations. At the Post Graduate Level: Various courses of algebra, Functional Analysis, Calculus of several variables, General Topology, Ordinary Diff. Equations. 11
REFEREES (1) Prof.(Dr.) Mohd. Zubair Khan Department of Mathematics A.M.U. ALIGARH- 202002 INDIA. E-mail: mz_alig@yahoomail.com Mobile: +91-9412596639 (2) Prof.(Dr.)Mohd. Sharief Deshmukh Department of Mathematics King saud University, PO Box 245, SAUDI ARABIA. E-mail: sariefd@su.edu.sa (3) Prof. (Dr.) Afzal Beg Department of Mathematics A.M.U. ALIGARH- 202002 INDIA. E-mail: abegamu@yahoo.co.in Mobile: +91-9412597251 OTHER DETAILS Address for correspondence: Deptt. of Mathematics AMU Aligarh, INDIA.- 202002. Marital status: Married Date of birth: 15/07/1955 Nationality: Indian Father s name: (Late) Abdul Ghafoor Khan 12