Dr. Imran Ahmed
Assistant Professor, Mathematics
Area of Interest: Singularity Theory, Algebraic Geometry, Commutative Algebra and Fuzzy Sets
Tel # (Off): 111-001-007  
HEC approved PhD Supervisor


  1. Analytic and Topological Invariants of Singularities, HEC, NRPU, 2016-2018.
  2. Classification of Determinantal Singularities, HEC, NRPU, 2017-2019.

Scientific Visits

  1. Visited ICMC-USP Brazil for research collaboration during July, 2013 under ICMC-USP funding.
  2. Visited ICMC-USP Brazil for research collaboration during April-May, 2015 under ICMC-USP / CNPq funding.
  3. Visited ICMC-USP Brazil for research collaboration during October-November, 2017 under FAPESP funding.

MS/Ph.D. Students

  1. Farooq Hader, Degree of Weighted Gradient Maps, MS Math., 2015.
  2. Shahid Muhmood, Algebraic and Topological Characterizations of Simplicial Complexes, Ph.D. Math., thesis in process.
  3. Aadnan Liaquat, Characterizations of Gallai Total Simplicial Complexes, MS Math, 2018.
  4. Ayesha Kiran, Characterizations of Line Total Simplicial Complexes, MS Math, 2018.
  5. Muhammad Awais, Topological Characterizations of Spanning Simplicial Complexes, MS Math., 2018.
  6. Sana Zahoor, Classification of Determinantal Varieties, MS Math., 2019.
  7. Zuha Manzoor, Cohen-Macaulayness of Simplicial Complexes, MS Math., in progress.
  8. Niamat Ali, Fuzzy Rings, Ph.D. Math., in progress.



Journal Papers:
1. I. Ahmed and M.A.S. Ruas (2019), "Determinacy of Determinantal Varieties", Manuscripta Mathematica, pp: 269-278, Vol: 159, Issue: 1-2, Impact Factor: 0.549   
2. Shahid Muhmood, Imran Ahmed and Adnan Liaquat (2019), "Gallai Simplicial Complexes", Journal of Intelligent and Fuzzy Systems, pp: 5645-5651, Vol: 36, Issue: 6, Impact Factor: 1.637   
3. A. Adeel, M. Akram, I. Ahmed and K.Nazar (2019), "Novel m-Polar Fuzzy Linguistic ELECTRE-I Method for Group Decision-Making", Symmetry, pp: 471, Vol: 11, Issue: 4, Impact Factor: 2.143   
4. S.Ashraf, I. Ahmed and H. Rashmanlou (2018), "A new technique to solve fuzzy differential equations", Journal of Intelligent and Fuzzy Systems, pp: 2171-2176, Vol: 34, Impact Factor: 1.637   
5. Imran Ahmed, Shahid Muhmood (2017), "Characterizations of Line Simplicial Complexes", arXiv:1702.04623   
6. Imran Ahmed, Shahid Muhmood (2017), "Spanning Simplicial Complexes of Uni-Cyclic Multigraphs ", arXiv:1708.05845   
7. I. Ahmed, M.A.S. Ruas and J.N. Tomazella (2013), "Invariants of Topological Relative Right Equivalences", Mathematical proceedings of Cambridge Philosophical Society, pp: 307-315, Vol: 155, Issue: 2, Impact Factor: 0.832   
8. Imran Ahmed (2012), "Weighted Homogeneous Polynomials with Isomorphic Minor Algebras", Journal of Prime Research in Mathematics, pp: 106-114, Vol: 8   
9. Imran Ahmed and M.A.S. Ruas (2011), "Invariants of Relative Right and Contact Equivalences", Houston Journal of Mathematics, pp: 773-786, Vol: 37, Issue: 3, Standard: 0362-1588, Impact Factor: 0.539    (External URL)
10. Imran Ahmed (2010), "Homogeneous Polynomials with Isomorphic Milnor Algebras", Czechoslovak Mathematical Journal, pp: 125-131, Vol: 60, Issue: 1, Standard: 0011-4642 (print)1572-9141 (electronic), Impact Factor: 0.265    (External URL)
11. Imran Ahmed (2010), "Polar Cremona Transformations and Monodromy of Polynomials", Studia Scientiarum Mathematicarum Hungarica, pp: 81-89, Vol: 47, Issue: 1, Standard: 0081-6906 (Print) 1588-2896 (Online), Impact Factor: 0.197    (External URL)
Conference Papers:
1. Imran Ahmed (2015) "Mixed Bruce-Roberts Numbers", 10th Mini Workshop in Singularities, Geometry and Differential Equations   


Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan
Sep 2004 to May 2008


Assistant Professor
COMSATS University Islamabad, Lahore Campus, Lahore
May 2008 to Date
ICMC-USP, Brazil
Aug 2009 to Dec 2012
COMSATS University Islamabad, Lahore Campus, Lahore
Feb 2002 to May 2008
Acting Deputy Controller Examinations
COMSATS University Islamabad, Lahore Campus, Lahore
Mar 2002 to Sep 2002

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