Centre for Interdisciplinary Research in Basic Sciences

Jamia Millia Islamia
New Delhi-110025

 

 


Dr. Moharram Ali Khan

Professor of Mathematics

 

Office Address:

Centre for Interdisciplinary Research in Basic Sciences (CIRBSc),

Jamia Millia Islamia, Jamia Nagar, New-Delhi-25

Office Phone:

+ 26980164 / 26981717 Ext. 4494, 4492

   

Residential Address:

D-12/5, Okhla Vihar, New Delhi-110025

Mobile:

Mobile No. + 9990669773

Email:

moharram_a@yahoo.com,

  mali.cirbs@jmi.ac.in

Date of Joining J.M.I.:

9th January, 2007

Date of Birth: 

1st January, 1957

   
Teaching & Research Experience
   
Teaching : 26
Research : 27
   

Field of Specialization:

  • Biomathematics :                 Mathematical modelling

  • Algebra :                              Ring Theory, Nearring Theory, Semi-rings, and Field Theory

Primary: Algebra: Ring Theory Nearring Theory & Semi-rings Secondary: Field Theory: Derivations on Rings / Nearrings / Banach Algebras

   

Areas of Interest:        

  • Mathematical Modeling & Computer Simulation

             -    Mathematical modeling in biology and medicine.

  • Ring Theory

             -   Commutativity theorems for certain rings.

             -   Structure of rings.

  • Nearring Theory

             -   Structure of near rings and its applications.

  • Semi rings

             - Anti-commutative semi rings and its characterizations.

  • Field Theory

             -   Derivations on certain class of rings/nearring/ Banach   algebras.

 

 

 PUBLICATIONS

 Research Papers:  54 (Pl. see Research Publications)

         ACADEMIC QUALIFICATIONS

Degree

University/Institution

Division

Year

Ph. D.

A.M.U., Aligarh

Awarded

1987

M. Phil.

A.M.U., Aligarh

Awarded

1983

M. Sc.

Lucknow University, Lucknow

First

1980

        EMPLOYMENT HISTORY

Designation

Employer’s Name

Period

Key Responsibilities

From

To

Professor

Jamia Millia Islamia, New Delhi,  India

Jan.09, 2007

to date

Teaching & Research

Professor

Eritrea Institute of Technology, Eritrea

Oct.22, 2005

Jan.08, 2007

Teaching & Research

Assistant Professor

Eritrea Institute of Technology, Eritrea

Oct.22, 2003

Oct.21, 2005

Teaching & Research

Assistant Professor

King Abdulaziz University, Saudi-Arabia

Jul., 30 2001

Aug.07,2002

Teaching & Research

Lecturer

King Abdulaziz University, Saudi-Arabia

Sep.16, 1989

Jul.29, 2001

Teaching & Research

Research Associate

Aligarh Muslim University, Aligarh, India

Jan.01, 1988

Sep.10, 1989

Teaching & Research

 

PROFESSIONAL ACTIVITIES

Membership of National Bodies

  • Life member of Indian Mathematical Society

  • Life member of Allahabad Mathematical Society

  • Life member of Ramanujan Mathematical Society

Membership of International Bodies

  • American Mathematical Society

  • Elected member of London Mathematical Society

  • Iris Mathematical Society

Reviewer of Research Papers

  • American Journal of Greece

  • African Journal of Mathematics and computer Science

  • Journal of Basic & Applied Sciences

  • Journal of Scientific Research

        HONORS/AWARDS

  • Awarded  financial assistance from DST (ITS) & INSA for delivering a talk and chair the session on “international conference on rings and Modules (August 18-22, 2008), Hacettepe University, Ankara, Turkey.

  • A. D. Bell list of Ring theorists

  • Member of World Scientific Publication of Mathematics Newsletter (Princeton University Press, London)

  • (1984 -1987) Senior Research Fellowship of the U G C, India

  • (1982- 1984) Junior Research Fellowship of the UGC, India

  • Who’s Who in the World © 2002, published by Marquis

         COURSES TAUGHT (Postgraduate and Undergraduate Level)

  • Calculus –I, II; Calculus & Vector Analysis; Ordinary Differential Equations; Linear Algebra-I, & II

  • Logic & Set Theory ; Abstract Algebra- I & II; Rings & Module; Basic Algebra; Group Theory; Ring Theory; Field Theory; Module Theory

  • Technical Mathematics: (Algebra, Calculus, Differential Equations, Statistics); Applicable Mathematics: (Pre-Calculus, Geometry, Finite Mathematics);Plane Trigonometry, Matrix Theory

  • Fundamentals of Mathematics I-VI, Mathematical Techniques for Biosciences; Biomathematics; Mathematical modeling; Mathematical Techniques; Biostatistics

  • Mathematics in biology;  Mathematical modeling and Biostatistics for pre-Ph. D. course

SUPERVISION AND GUIDENCE

Supervisor of the Ph.D. programme (Mathematical Modeling)

  • Mr. Shefeeq T. (Development of mathematical models to predict the release kinetics and distribution profile of anticancer drugs to human cancer tissues)

  • Ms. Gurpreet Kaur (Development of mathematical model for tumor growth dynamics)

Co-Supervisor of the Ph.D. programme (Algebra)

  • Mr. Mohammad Mueenul Hasnain (Some contribution to rings and nearrings)

Major Research Project {F. No. 34-138\2008 (SR)}

  • Project Title: Development of Derivations in Certain Classes of Nearrings with Application

  • Funding Agency: University Grant Commission (UGC) New Delhi, India (01.02.2009 - 31.01.2012).

        Self Project work

          A study on derivations in rings and near rings

       Research Projects Guided

  • A study of commutativity theorems for s-unital and semi prime rings

  • On an iteration technique applied to commutativity theorems in rings

Dissertations Guided in the course of Integrated M.Sc. in Bioinformatics and Biotechnology

  • Biomathematics

  • Mathematical Modeling and Cancer

  • Cell-Cycle Control by Mathematics

  • Molecular Modeling and Molecular Dynamics

Dissertations Guided in the course of M. Sc. in Mathematics

  • On the ideal theory of BCK (BCI) –Algebra

  • Commutativity theorems for rings and related topics

OTHER ACADEMIC/ADMINITRATIVE RESPONSIBILITIES

 

Sl. No.

Designation

Period

Employer’s Name

From

To

1.

Officiating Director

(when the director is on leave)

Jan.09, 2007

to date

Jamia Millia Islamia, New Delhi

2.

Member of Board of Management (CIRBSc)

Nov.19, 2009

Nov.18, 2012

Jamia Millia Islamia, New Delhi

3.

Area Member of Board of Research committee, College of Science

Aug. 15, 2005

Jan. 05, 2007

Eritrea Institute of Technology Mainefhi, Eritrea

4.

Founder Head, Department of Mathematics

Jan. 22, 2004

Mar. 28,2004

Eritrea Institute of Technology, Eritrea

5.

Member of Curriculum Development for advance Mathematics

Dec. 21, 2003

Jan. 21, 2004

Dept of General Education, Ministry of Education, Eritrea

6.

Member of Moderation committee of M.Sc and Ph.D syllabi of Mathematics

Sep.17, 2001

Jun. 05,2002

King Abdulaziz University Jeddah, Saudi-Arabia

7.

"Expert of Mathematics" in the Selection Committee Board of Indian Embassy School, Jeddah / International Indian School, Jeddah, Saudi Arabia

Jan. 01, 1990

Jun. 05,2002

King Abdulaziz University Jeddah, Saudi- Arabia

 

INVITED TALKS

 

Sl. No.

Topic

Date

Name of Institute

1.

"Mathematics & its Applications", Resource person, Funded by the Organizer

Jan. 22-23, 2010

S.V. College, Aligarh, U.P., India

2.

"Mathematical modeling of anti cancer drug delivery", Funded by the Organizer

Jan. 9-10, 2010

Department of Maths & Astronomy, Lucknow Univ. Lucknow, India

3.

(i) Mathematical modeling & cancer

(ii) Mathematical modeling in tumor

growth, Funded by the Organizer

Oct. 22-31, 2009

National Workshop Cum Training Program on Dynamical Systems: Analysis and Applications (NWCTP-DSAA)

BHU, Varanasi, U.P., India

4.

"Derivations and its applications in certain class of rings and algebras" Funded by the research grant

Jul. 08-18, 2009

Department of mathematics & Statistics (DOMAS), SQU, Muscat, Oman

5.

"Derivations in rings and Nearrings"

Special Lecture, Funded by the Organizer

Jun. 14- 19, 2009

HRI, Allahabad, U.P., India

6.

"A study of mathematical modeling in Cancer"

Feb. 19-20, 2009

Department of Computer Science, Jamia Millia Islamia, New Delhi, India

7.

"Mathematical modeling in cancer"

Resource person, Funded by the Organizer

Feb. 15-16, 2009

S.V. College, Aligarh, UP, India

8.

"Polynomial identities that imply commutativity of rings" and Chair the session, Funded by the Jamia Millia Islamia, New Delhi

Dec. 15-18, 2008

Kolkata Mathematical Society , Kolkata, India

9.

"Commutativity theorems for rings and near rings with its applications, and Chair the session, Funded by the DST and INSA

Aug. 18-22, 2008

Hacettepe University, Ankara, Turkey

10.

"A study of derivations in prime rings and Banach algebras", Funded by the Organizer

May.19-21, 2008

Indian Institute of Technology, Kanpur, India

11.

" Some contribution in commutativity of rings" Natural Science Info Fest 2008 (NSIF-08)

Mar.04, 2008

Jamia Millia Islamia, New Delhi, India

12.

"A commutativity study for certain rings" Funded by the Organizer

Nov. 15-18, 2007

Indian Institute of Technology, Guwahati

13.

Mathematical modeling: "Real life problems and applications", Funded by the Organizer

Jan. 10-13, 2008

Gwalior Academy of Mathematical Sciences (GAMS), Agra, India

14.

"Certain near rings are rings", Funded by the Organizer

Feb. 23-24, 2007

BHU, Varanasi; at National Conference on Modern Analysis & Allied Areas

15.

"Development of commutativity theorems for rings & nearrings"

Sep. 29, 2006

Eritrea Institute of Technology, Mainefhi, Eritrea, North East Africa

16.

Commutativity theorems for rings and near rings"

May. 30, 2003

Department of Math & Stats, SQU, Muscat, Oman

17.

Classification of certain rings satisfying some constraints on subsets

Nov. 09-10, 2002

University of Allahabad India

18.

(i) On commutativity of right s-unital rings with some polynomial constraints (IC/94/248)

(ii) Some commutativity theorems for a certain class of rings (IC/94/235)

Aug. 07- Sep. 07, 1994

International centre for theoretical Physics(ICTP), Trieste, Italy

 

 

NATIONAL VISIT

 

Sl. No.

Purpose of Visit

Period

Place

From

To

1.

Visiting Fellow

Jun.14, 2009

Jun.19, 2009

HRI, Allahabad

2.

Visiting Fellow

Nov. 15, 2007

Nov. 18, 2007

IIT, Guwahati

3.

Visiting Fellow

Nov. 06, 2002

Dec. 03, 2002

HRI, Allahabad

4.

Visiting Fellow

Aug. 01, 1999

Aug.11, 1999

MRI, Allahabad India

5.

Visiting Fellow

Aug. 01, 1997

Aug. 16,1997

TIFR, Mumbai India

 

INTERNATIONAL VISIT

 

Sl. No.

Purpose of Visit

Period

Place

From

To

1.

Consultant ( Research Professor)

Jul. 08, 2009

Jul. 18, 2009

DOMAS, SQU,  Oman

2.

Gave talk & Chaired session in the International Conference, Hacettepe University, Ankara

Aug. 18, 2008

Aug. 22, 2008

Hacettepe university, Ankara, Turkey

3.

Visiting Fellow

Feb. 27, 2003

Jun. 01, 2003

Muscat, Oman

4.

Attended & Presented paper in the International Conference, Manama

Nov. 19, 1995

Nov. 22, 1995

Manama, Bahrain

5.

Attended & Presented paper in the International Conference, Hamburg

Jul. 30, 1995

Aug. 06,1995

Hamburg, Germany

6.

Visiting Scientist

Aug. 07, 1994

Sep. 07,1994

ICTP, Trieste, Italy

 

 

 

RESEARCH PUBLICATIONS

 

2010

1.

Khan, M. A.: A Commutativity Study for Certain Rings, Scientific Annals of AI.I, Vol. 56, 2010

 

 

2009

2.

Khan, M. A, Shefeeq. T.: Role of Mathematical Modeling in Controlled Drug Delivery, J. Sci. Res. Vol. 1, 2009

2008

3.

Hassan,M.I., Khan, M. A.: Mathematical Modeling as a Tool for Improving the Action of Drugs, J. Basic & Applied Sci, Vol. 4, 2008

 

 

2007

4.

Khan, M. A.: Classification of rings satisfying some constraints on subsets, Arch. math. (Brno) CZECH, Vol. 43, 2007.

2006

5.

Khan, M. A.: Commutativity of rings with constraints on pair of automorphisms, Adv.Theo. Appl. Math, India Vol. 1, 2006.

6.

Khan, M. A. & Khan, M. S.: On near rings with derivation, Math. Pannonica, Austria, Vol 17, 2006.

 

2005

7.

Khan, M. A.: Structure of Periodic Rings and Certain Nearrings, Intn. J. Pure Appl Math, Bulgaria, Vol 25, 2005.

 

2004

8.

Khan, M. A.: Remarks on anti-commutative semi rings, Intn.J.PureAppl Math, Bulgaria, Vol 15, 2004.

 

2003

   

9.

Khan, M. A.: Remarks on symmetric Bi-derivations of rings, Southeast Asian Bull. Math, Hongkong, Vol 27, 2003.

10.

Khan, M. A.: Commutativity of rings with constraints involving a subset, Czech Math.J, Czechoslovakia, Vol 53, 2003.

 

2002

   

11.

Khan, M. A.: Commutativity of rings via biadditive symmetric map, Int. Math. Journal, Japan, Vol 2, 2002.

12.

Khan, M. A.: Commutativity of rings with polynomial constraints, Czech Math.J, Czechoslovakia, Vol 52, 2002.

 

2001

   

13.

Khan, M. A.: Commutativity theorems for certain ring with polynomial constraints, Indian J. appl. Math., India, Vol 32, 2001.

14.

Khan, M. A.: Commutativity of rings with variable constraints, Pub. Math. Debrecen, Hungary, Vol 58, 2001.

15.

Khan, M. A.: On the structure of some rings and near-rings, Demonstratio Math., Poland, Vol 34, 2001.

16.

Khan, M. A.: Commutativity of rings with some power constraints, Kyungpook Math. J, Korea, Vol 41, 2001.

17.

Khan, M. A. & Kumari A.: Commutativity of rings with power constraints, Proc.Int.Con,Algebra & itsApp., Narosa Pb., India, 2001.

 

2000

   

18.

Khan, M. A.: On structure of certain periodic rings and near rings, Intern. J. Math. Math. Sci., USA, Vol 24, 2000.

19.

Khan, M. A.: Commutativity theorems through a Streb’s classification, Proc. Royal Irish Math.Acad, Ireland, Vol 100 A, 2000.

20.

Khan, M. A.: Correction to"Commutativity theorems through a Streb’s classification", Proc. Royal Irish Math.Acad, Ireland, Vol 100 A, 2000.

21.

Khan, M. A.: Commutativity of left s-unital rings with polynomial constraints, Al. Cuza Iasi Mat, Romaina, Vol 46, 2000.

22.

Khan, M. A.: Some commutativity results for s-unital rings, Turkish J. Math, Turkey, Vol 24, 2000.

23.

Khan, M. A.: Commutativity of rings with constraints on commutators, Fen Fak. Mat Der., Turkey, Vol 59, 2000.

24.

Khan, M. A.: Commutativity theorems for rings through a Streb result, Fen Fak. Mat Der., Turkey, Vol 59, 2000.

25.

Khan, M. A.: Commutativity or rings  through a Streb’s result, Czech.Math. J., Czech, Vol 50, 2000.

26.

Khan, M. A.: On commutativity of certain near-rings, Acta Sci. Nat.Univ,J, China, Vol 133, 2000.

27.

Khan, M. A., Certain near-rings are rings, Al. Cuza Iasi. Mat., Romania, Vol 46, 2000.

28.

Abujabal, H. A. S., Obaid, & M. A. Khan, M. A.: On structure and commutativity of near-rings, Proyecciones, Chile, Vol 19, 2000.

 

1999

   

29.

Khan, M. A.: Strong commutativity preserving traces of bi- additive mappings, J. Inst. Math. Comp.Sci, India, Vol 12, 1999.

30.

Khan, M. A.: Commutativity theorems for rings with constraints on commutators, J. Indian Math. Soc., India, Vol 66, 1999.

31.

Khan, M. A.: Commutativity of right s -unital rings with polynomial constraints, J. Inst. Math. Comp.Sci, India, Vol 12, 1999.

 

1998

   

32.

Abujabal, H. A. S. & Khan, M. A.: Commutativity for a certain class of rings, Georgian Math. J., Georgia, Vol 5, 1998.

 

1996

   

33.

Abujabal, H. A. S., Khan, M. A. & Obaid, M. A.: On commutativity of rings with constraints involving a nil subsets, Proyecciones, Chile, Vol 15, 1996.

 

1995

   

34.

Abujabal, H. A. S. Khan, M. A., Bell, H. E. & Khan, M. S.: Commutativity of semi prime rings with power constraints, Studia Sci. Math. Hungar, Hungary, Vol 30, 1995.

35.

Abujabal, H. A. S. & Khan, M. A.:On commutativity of right s-unital rings with some polynomial constraints, Proyecciones, Chile, Vol 14, 1995.

 

1993

   

36.

Abujabal, H. A. S. & Khan, M. A.:Some elementary commutativity theorems for associative rings, Kyungpook Math. J, Korea, Vol 33, 1993.

37.

Abujabal, H. A. S., Khan, M. A., Khan M. S. & Samman, M. S.: On commutativity of rings with constraints on subsets, Czech Math. J, Czechoslovakia, Vol 43, 1993.

 

1992

   

38.

Abujabal, H. A. S. & Khan, M. A.: On commutativity of one sided s-unital rings, Int. J.Math. Math. Sci., USA, Vol 15, 1992.

39.

Abujabal, H. A. S., Khan, M. A. & Khan M. S.: On commutativity of semi prime rings, Math. Japon., Japan, Vol 37, 1992.

40.

Abujabal, H. A. S., Khan, M. A. & Khan M. S.: A commutativity theorem for one sided s-unital rings, Pure Math. Appl., Hungary, Vol 1, 1992.

41.

Abujabal, H. A. S., Khan, M. A. & Khan M. S.: Correction to ‘ A commutativity theorem for one sided s-unital rings, Pure Math. Appl., Hungary, Vol 1, 1992.

42.

Abujabal, H. A. S., Khan, M. A. & Samman M. S.: Commutativity of one sided s-unital rings, Tamkang J. Math, Taiwan, Vol 23, 1992.

 

1991

   

43.

Abujabal, H. A. S. & Khan, M. A.: On commutativity of left s-unital rings, Glas. Mat. Ser. III, Croatia, Vol 26, 1991.

1989

   

44.

Khan, M. A., Quadri, M. A. & Ali, A.: On a commutativity condition for semi prime rings, Acta Sci. Natur. Univ. Jilin, China, Vol 3, 1989.

45.

Quadri, M. A., Khan, M. A. & Ali, A.: A commutativity theorem for rings with unity, Soochow J. Math., China Vol 15, 1989.

 

1988

   

46.

Quadri, M. A. & Khan, M. A.: On a commutativity theorem of Kaplansky, Bull. Inst. Math.Acad Sinica, Taiwan, Vol 16, 1988.

47.

Quadri, M. A., Khan, M. A.  & Ashraf, M.: Some elementary commutativity theorems for rings, Math. Student, India, Vol 56, 1988.

48.

Quadri, M. A., Khan, M. A.: A commutativity theorem for associative rings, Math. Japon., Japan, Vol 33, 1988.

 

1987

   

49.

 

50.

Bell, H. E., Quadri, M. A. & Khan, M. A.: Two commutativity theorems for rings, Rad. Mat., Bosnia, Herzegovinia, Vol 3, 1987.

Quadri, M. A. & Khan, M. A. : A commutativity theorem for left s-unital rings, Bull.Inst.Math.Acad.Sinica Vol 15, 1987.

51.

Quadri, M. A., Khan, M. A.  & Ashraf, M.: A commutativity theorem for semi prime rings, Math. Student, India, Vol 50, 1987.

 

1986

52.

Quadri, M. A., Ashraf, M. & Khan, M. A.: Commutativity condition for semi prime rings-II, Bull. Austral. Math. Soc., Australia, Vol 30, 1986.

 

1985

53.

Quadri, M. A. & Khan, M. A.: A theorem on commutativity of semi simple rings, Soochow J. Math., China, Vol 11, 1985.

54.

Quadri, M. A. & Khan, M. A.:  A remark on commutativity of semi prime rings II, Communications de la Fac. Sci, Turkey, Vol 34, 1985.

 

ACCEPTED

  • Khan, M. A.: A Study of Derivations in Prime Rings and Banach Algebra, International Mathematical Forum.

COMMUNICATED

  • Khan, M.A.  & Shefeeq. T, Mathematical modeling of anti cancer drug delivery

  • Khan, M.R., Khan M.A.   & Deepa Arora, Remarks on derivations of σ-prime rings

  • Khan, M.R., Khan M.A.  & Hasnain M.M., (σ, τ) - Γ-derivation on certain Γ-nearrings

  • Khan, M.R., Khan M.A.  & Hasnain M.M., An extension of Posner’s theorem for a- Γ-derivation in prime Γ-nearrings

  • Khan, M.R., Khan M.A.  & Hasnain M.M:  Generalized (σ, τ) - derivation on nearrings

WORKSHOPS/CONFERENCES ORGANIZED/ATTENDED

 

Sl. No.

Title of Workshop

Period

Organized Place

From

To

1

Interface between Chemistry and Biology

--

Oct 08, 2009

Jamia Millia Islamia, New Delhi

2.

National Science Day

---

Mar. 07, 2008

I.I.T. Delhi

3.

Mathematics in Biology (Organizing Secretary)

---

Dec 04, 2008

Jamia Millia Islamia, New Delhi

4.

Recent Trends in Biological Sciences

---

Dec07, 2007

Jamia Millia Islamia, New Delhi

5.

“Arithmetic Algebraic Geometry and its applications to computing"

Dec. 23,2002

Jan. 01, 2003

H.R.I., Allahabad India

6.

"Ramdhan Seminar"

Mar. 14,1993

Mar. 16,1993

Umm-al-Qura Univ. Makkah-al-Mukarrama, Saudi Arabia

7.

"DAE Conference on Commutative Algebra and its Applications to Combinatories"

Dec. 19,1988

Jan. 06,1989

T.I.F.R. Bombay, India

 

 

Abstracts accepted for presentation in National & International conferences   

  • Khan M.A. (2010), Recent development of nearrings and its applications, 7th National conference of Indian Society of Mathematics and Mathematical Sciences, (February 20-21, 2010), Gorakhpur, U.P.

  • Khan M.A. & Shefeeq. T. (2010), Mathematical modeling of anticancer drug delivery, second national symposium on modern trends in differential geometry and mathematical modelling in Bio sciences, January 9-10, 2010, University of Lucknow, Lucknow, U.P.

  •  Khan M.A. & Shefeeq. T. (2009), The Dynamics of Cancer Progression: A Mathematical Analysis, International Conference on recent Trends in Mathematics & its Applications (ICRTMA), (March 30-31, 2009), Jamia Millia Islamia, New Delhi, India.

  • Khan M.A (2009), “A study of mathematical modeling in Cancer” Bioinformatics Application in Research and development organized by Bioinformatics Infrastructure Facilility, Department of Computer Science, Jamia Millia Islamia, New Delhi, India (February 19-20, 2009).

  • Khan M.A & Shefeeq. T (2008),  “Role of Mathematical Modeling in Controlled Drug Delivery

          VI International Symposium on Optimization and Statistics (December 29-31, 2008)

          Department of Statistics& Operations Research, AMU, Aligarh, India

  • Khan M.A (2008) “Commutativity theorems for rings and nearrings with its Applications” at International Conference on Ring and Module theory Hacettepe University, Ankara, Turkey  (August 18-22, 2008).

  • Khan M.A (2008) “A study of derivations in prime rings and Banach algebras” in the  23rd Annual conference of Ramanujan Mathematical Society (RMS), Indian Institute of Technology, Kanpur, India (May 19-21, 2008).

  • Hassan, M. I. & Khan M.A (2008), Mathematical modeling: Real life problems and Applications,                              13th Annual Conference and Ist International conference of Gwalior Academy of Mathematical    Sciences (GAMS) with Symposium on Mathematical Modeling in Engineering and Biosciences, Agra, India  (January 10-13, 2008).

  • Khan M.A and Khan M.S. (2007), Polynomial identities that imply commutativity of rings, International Symposium on Recent advances in Mathematics  and its applications (ISMARA), Kolkata, India  (December 15- 18, 2007).

  • Khan M.A. (2007), A study of gamma nearrings with derivations, Fifth China –Japan-Korea International Symposium on Ring Theory, Tokyo, Japan  (September 10- 15, 2007).

  • Khan M.A. (2007), Recent developments on commutativity of different nearrings, 20th International Conference on Nearrings and Near fields, Linz, Austria (July 23-27, 2007).

  • Khan M.A (2007), Certain near rings are rings II, National Conference on Modern Analysis & Allied Areas, BHU, Varanasi, India (February 23 - 24, 2007).

  • Khan M.A (2006), Remarks  on generalized derivation on rings, International conference on Noncommutative rings, group rings and diagram algebras, Ramanujan Institute for Advanced Study in Mathematics ( December 18 -  22, 2006)

  • Khan M.A. (2004), A study on Lie Ideals and Generalized (u,v)- derivations of semiprime rings, SCRA, Institute of Engineering and Technology, Lucknow, India (December 27-29, 2004).

  • Khan M.A. (2003), On a problem of Bresar, Conference on recent trends in Algebra & Analysis, AMU, Aligarh, India (March 03-05, 2003)

  • Khan M.A (2002), Classification of certain rings satisfying some constraints on subsets, Conference on Current trends in Mathematics, University of Allahabad, India (November 9-10, 2002).

  • Khan M.A (1995), On commutativity of rings with constraints involving a nil subset, International Conference on Pure and Applied Mathematics, Bahrain (November 19-22, 1995).

  • Khan M.A. (1995), On structure and commutativity of certain classes of rings and nearrings, International Conference on Nearrings & Near-fields, University of Der Bundeswehr, Hamburg, Germany (July 30-Aug. 06, 1995).

  • Khan M.A Quadri, M. A., (1988), A commutativity theorem for s-unital rings, 54th Conference of IMS, Pune, India.

  • Khan M.A. Quadri, M. A., (1987), On a commutativity conditions for rings, 53rd Conference of IMS, Gorakhpur, India.

  • Khan M.A Quadri, M. A., (1986), A commutativity theorem for left s-unital rings, 52nd Conference of IMS, Jaipur, India.

  • Khan M.A Quadri, M. A., (1985), A commutativity theorem for semiprime rings, 51st Conference of IMS, Cochin, India.

  • Khan M.A Quadri, M. A., (1984), A theorem on commutativity of semi simple  rings, 50th  Conference of IMS, Vallabh Vidyanagar, India.

  • Khan M.A. Quadri, M. A., (1983), A note on commutativity of rings, 49th Conference of IMS, Madras, India.

 

RESEARCH INTEREST

  •  Mathematical modeling & Computer simulation:   

Our research focuses on mathematical modeling of drug delivery systems and optimization of the devices. We are also interested on    the spatio-temporal dynamics of nonlinear, heterogeneous biological systems. This is an exciting area of modern applied mathematics offering many fascinating and challenging problems both mathematically and biologically. Our main objectives are:

  • Mathematical modeling and analysis of controlled drug delivery systems

  • Elucidation of the underlying drug release mechanisms from controlled drug delivery systems by using mathematical tools

  • Optimization of drug concentrations at the site of action in order to improve the efficacy of the therapeutical treatment and to minimize adverse effects

  • Mathematical modeling allowing for quantitative predictions of the effects of formulation and processing parameters on the resulting drug release patterns

  • Modeling problems in solid tumor growth and development, angiogenesis (formation of capillary networks), tumor invasion and metastasis, tumor-immune interactions.

The models normally consist of nonlinear systems of difference equations, ordinary differential equations or partial differential equations. A blend of analytical (stability analyses, bifurcation theory, nonlinear analysis) and numerical techniques (finite difference/element approximations) is used in addition to mathematical modeling and computer simulation skills.

 

  • Ring Theory:   

We would like to add in the literature on commutativity theorems for rings, giving several conditions, which imply commutativity. These conditions deal with polynomial in two variables with integer coefficients, the results of which are already known when the polynomials are fixed. It would be a significant advance to obtain the result when the polynomials are dependent on the variables. To investigate results on applications of ring theory.

  • Nearring Theory:                    

In the literature on nearrings contains a number of theorems asserting that certain conditions implying commutativity in rings imply multiplicative or additive commutativity in special class of nearrings. Our objective is to prove that under appropriate additional hypothesis such nearrings turn out to be commutative rings and find its applications in coding theory and cryptography.

  • Semi Rings:                 

Semi rings have proven to be useful in studying automata and formal languages. On the other hand, the notions of automata and formal languages have been generalized and extensively studied in fuzzy frame work. Thus one may expect that fuzzy semi rings may useful in studying fuzzy automata and fuzzy formal languages. In this context, we pursue an algebraic approach to investigate the concept of fuzzy semi rings and related notions in order to set the ground for further endeavor.

  • Field Theory:               

Several attempts have been made for studying problems concerning Lie homomorphism, our prior aim is to investigate results concerning the commutativity preserving derivations, centralizing derivations, the Jordan derivations and Jordan and Lie ideals in the setting of prime and semi prime rings /nearrings/ G-nearrings and Banach Algebras.

 

 

 

 

 

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