Personal

NameDr.Muhammad Ishaq

Date of BirthApril 08, 1984

Permanent AddressVillage and P.O. Gar Munara Distt. and tehsil Swabi, Pakistan

CNIC 16202-7957164-9

Passport No. CZ1841641

Contact Nos.Mobile: +923459176699

Office: +925190855591

e-mail

Objective

My goal is to obtain a researcher position in mathematics at the university level. My objective in this position is to bring a revolution in the field of commutative algebra with my valuable research. I want to be known due to my work. May Allah give me courage to serve my nation effectively.

Current Position

Assistant Professor, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST) Islamabad, Pakistan.

Academic Qualification

  • Ph.D (Mathematics) (2007-2012)

Abdus Salam School of Mathematical Sciences, GC University, Lahore.

  • M.Sc(Mathematics)(2004-2006)

Peshawar University , Peshawar.

  • B.Sc(Mathematics, Physics)(2002-2004)

Peshawar University , Peshawar.

  • F.Sc(Pre-Engineering)(2000-2002)

BISE, Mardan.

  • Matric(Science Group)(1998-2000)

BISE, Peshawar.

Ph.D. Thesis Information
  • Expertise/Research Interests:

Commutative Algebra.

  • Ph.D Thesis Title:

Stanley Depth and Sequentially Cohen-Macaulay Lexsegment Ideals.

  • Supervisor’s Name:

Prof. Dr. Dorin Popescu, Institute of Mathematics “ SIMION STOILOW” the Romanian Academy.

Academic Prizes and Honors
  • I received the first prize in “5th World Conference on 21st Century Mathematics” held in Abdus Salam School of Mathematical Sciences February 09–13, 2011, in the category of young speaker.
  • I have been awarded a certificate by Abdus Salam School of Mathematical Sciences for commendable performance during Ph.D research work in area of ALGEBRA (2010).

Academic Experience

I have experience working with computer soft wares COCOA and SINGULAR for computations. These softwares are used for the computations in Algebra.

Technical and Specialized Skills

I have dealt with the applications of Commutative Algebra in different branches of Mathematics like in Algebraic Geometry, Algebraic Topology and Graph Theory. I have taken the courses from renowned Professors in Commutative Algebra during my PhD course work and learned different techniques in computations in algebra.

Related Experience

I had honor to work with world well renowned mathematicians in the field of Commutative Algebra, Prof. Dr. Dorin PopescueandProf. Dr. Viviana Enefrom Romania and Prof. Dr. Jurgen Herzog from Germany. I am currently working on projects and papers with these mathematicians.

Research / Scholarly Activities

Research Papers:

1)M. Ishaq, “Values and bounds for the Stanley depth”, Carpathian J. Math., 27(2) (2011), 217-224.

2)M. Ishaq, “ Upper bounds for the Stanley depth”, Comm. Algebra, 40(1) (2012), 87-97.

3)M. Ishaq, M.I Qureshi,“Stanley depth of edge ideals ” Studia Sci. Math. Hungarica, 49(4)(2012), 501-508.

4)M. Ishaq, M.I. Qureshi,“Upper and lower bounds for the Stanley depth of certain classes of monomials and their residue class rings” Comm. Algebra, (41)(1) (2013), 1107-1116.

5)M. Ishaq “Monomial ideals of minimal depth”,Analele Stiintifice ale Universitatii Ovidius Constanta, 21(3)(2013), 147-154.

6)M.Ishaq, “Lexsegment ideals are sequentially Cohen-Macaulay”, Algebra Colloq., 21(4)(2014), 551-560.

7)Z. Iqbal, M. Ishaq, M. Aamir, (2017)"Depth and Stanley depth of the edge ideals associated to square paths and square cycles"to appear in Comm. Algebra.

8)Z. Iqbal, M. Ishaq, (2017) "Depth and Stanley depth of the edge ideals associated to powers of paths and cycles".

Professional Development

.

1)I have participated in “5th World Conference on 21st Century Mathematics” held in Abdus Salam School of Mathematical Sciences February 09–13, 2011.

2)I have participated in School “Cobinatorics in Commutative Algebra” held in Bucharest, Romania 20-24 September 2010.

3)I have participated in CIMPA school on “Combinatorial and Computational Aspects of Commutative Algebra”held in Abdus Salam School of Mathematical Sciences, Pakistan on February 21–28, 2009.

4)I have participated in “4th World Conference on 21st Century Mathematics” 2009 held in Abdus Salam School of Mathematical Sciences March 04–08, 2009.

Research Interests

I plan to publish frequently in standard journals. I am working on research which will be completed soon. Moreover, I want to contribute to raising the standards of Algebra in Pakistan as a researcher and teacher.

Foreign Language Abilities

I can communicate in English in both written and oral forms.

Key Courses Taken

  • Real Analysis
  • Algebra
  • Complex Analysis
  • Geometry
  • Linear algebra
  • Advanced Analysis
  • Ordinary Differential Equation
  • Algebraic Number Theory
  • Geometry
  • Differential Geometry

Key Courses Related to Research
  • Linear Algebra
  • Abstract Algebra
  • Homological Algebra
  • Commutative Algebra
  • Algebraic Geometry
  • Computational Commutative Algebra
  • Multiplicative Ideal Theory

References

1 Dr. Dorin Popescu

Professor in AbdusSalamSchool of Mathematical

Sciences, G.C.U. Lahore.

Ph: 042-9231859

Email:

2Dr A. D. Raza Choudary

Director General ofAbdusSalamSchool of Mathematical

Sciences, G.C.U. Lahore.

Ph: 042-9231859

Email: