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

Projects

  1. Imran Ahmed, PI, Analytic and Topological Invariants of Singularities, HEC-NRPU, 2017-2020.
  2. Imran Ahmed, PI, Classification of Determinantal Singularities, HEC-NRPU, 2019-2022.
  3. Imran Ahmed, Co-PI, Approximate Common Solution of Equilibrium Problems and Variational Inequality Problems with Fixed Point Problems, 2018-2020.

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.
  4. Visited ICMC-USP Brazil for research collaboration during July-August, 2018 under ICMC-USP funding.

MS/Ph.D. Students

  1. Najam Ul Abbas, Algebraic and Topological Properties of Simplicial Complexes, Ph.D. Math, in progress.
  2. Farooq Hader, Degree of Weighted Gradient Maps, MS Math., 2015.
  3. Adnan 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., 2019.
  8. M. Nasim Aftab, Cohen-Macaulayness in Codimension for Line Simplicial Complexes, MS Math., 2021.
  9. Arslan Kaleem, Topological Indices of Fuzzy Graphs, MS Math., 2021.
  10. Danial Hussain, Fundamental Group and Singular Homology, MS Math., 2021.
  11. Imtiaz Tariq, Classification of Fuzzy Varieties, MS Math., 2021.
  12. Tatheer Zahra, Spanning Simplicial Complexes of Multi-Wheel Graphs, MS Math., 2022. 
  13. Ayesha Bashir, A Note on Determinantal Varieties, MS Math., 2024.
  14. Aakash Ahmed, A Note on Expasio of a Simplicial Complex, MS Math., in progress.
  15. Mubeen Naz, Algebraic Characterizations of Fuzzy Graphs, MS Math., in progress.

BS Students

  1. Bisma Atiq, Properties of Total Graphs, BS Math., 2024.
  2. Rimsha Imran, Connectivity of Total Graphs, BS Math., 2024.
  3. Sania Masood, Characterization of Total Graphs, BS Math., 2024.
  4. Rimsha Amber, Computational aspects of SSC of Wheel Graphs, BS Math., 2024.
  5. Rana Faysal and Shiza Sajjad, Properties of SSC of Wheel Graphs, BS Math., 2024.
  6. Sana Zahoor, Betti Numbers of Gallai Simplicial Complexes, BS Math., 2017.
  7. Umar Qureshi, Polynomial Rings and Simplicial Complexes, BS Math, 2017.
  8. Iqra Anjum, Vertex Decomposable Simplicial Complexes, BS Math., 2023.
  9. Mohsin Ali, The Hermite-Hadamard Inequality on Simplices, BS Math., 2023.

 

Publications:

Journal Papers:
1. Imran Ahmed, Shahid Muhmood (2023), "Algebraic Characterization of SSC of Uni-Cyclic Multigraphs ", Algebra Colloquium, pp: 325-338, Vol: 30, Issue: 2, Impact Factor: 0.421   
2. Li, H., Saleem, M.S., Ahmed, I. and Aslam, K. N. (2023), "Hermite–Hadamard and Fejér-type inequalities for strongly reciprocally (p, h)-convex functions of higher order ", J. Inequal. Appl. , pp: 1-20, Vol: 2023, Issue: 57, DOI: https://doi.org/10.1186/s13660-023-02960-y, Impact Factor: 2.021   
3. Qi, H., Saleem, M.S., Ahmed, I., Sajid, S. and Nazeer, W. (2023), "Fractional version of Ostrowski-type inequalities for strongly p-convex stochastic processes via a k-fractional Hilfer–Katugampola derivative ", Journal of Inequalities and Applications, pp: 1-19, Vol: 2023, Issue: 12, DOI: https://doi.org/10.1186/s13660-022-02901-1, Impact Factor: 2.021   
4. L. Chen, J. Zhang, M.S. Saleem, I. Ahmed, S. Waheed and L. Pan (2021), "Fractional Integral Inequalities for h-Convex Functions via Caputo-Fabrizio Operator", AIMS Mathematics, pp: 6377-6389, Vol: 6, Issue: 6, Impact Factor: 2.739   
5. M. Tanveer, I. Ahmed, A. Raza, S. Nawaz and Y-P Lv (2021), "New Escape Conditions with General Complex Polynomial for Fractals via New Fixed Point Iteration", AIMS Mathematics, pp: 5563-5580, Vol: 6, Issue: 6, Impact Factor: 2.739   
6. Imran Ahmed, Shahid Muhmood (2020), "Computational aspects of Line Simplicial Complexes", Journal of Intelligent and Fuzzy Systems, pp: 35-42, Vol: 39, Issue: 1, Impact Factor: 1.637   
7. Q.Z. Li, A.R. Virk, K. Nazar, I. Ahmed and I. Tlili (2020), "Valency-Based Descriptors for Silicon Carbides, Bismuth(III) Iodide, and Dendrimers in Drug Applications", Journal of Chemistry, Vol: 2020 Article ID 8616309, Impact Factor: 1.790   
8. Z. Chen, A.R. Virk, M. Habib, T.J. Zia, I. Ahmed, W. Nazeer and C. Shi (2019), "Irregularity Indices of Dendrimer Structures used as Molecular Disrupter in QSAR Study", Journal of Chemistry, pp: 1-21, Vol: 2019, ISSN: Article ID 5371254, Impact Factor: 1.790    (External URL)
9. Z.Q. Chu, S. Nazeer, T.J Zia, I. Ahmed and S. Shahid (2019), "Some New Results on Various Graph Energies of the Splitting Graph", Journal of Chemistry, pp: 1-12, Vol: 2019, ISSN: Article ID 7214047, Impact Factor: 1.790    (External URL)
10. Z. Chen, A.A. Shahid, T.J. Zia, I. Ahmed and W. Nazeer (2019), "Dynamics of Antifractals in Modified S-iteration Orbit", IEEE Access, pp: 113114-113120, Vol: 7, Issue: 1, Impact Factor: 4.098   
11. Y. Li, M. Rafaqat, T.J. Zia, I. Ahmed and C.Y. Jung (2019), "Flip and Neimark-Sacker Bifurcations of a Discrete Time Predator-Pre Model", IEEE Access, pp: 123430-123435, Vol: 7, Issue: 1, Impact Factor: 4.098   
12. 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   
13. I. Ahmed and M.A.S. Ruas (2019), "Determinacy of Determinantal Varieties", Manuscripta Mathematica, pp: 269-278, Vol: 159, Issue: 1-2, Impact Factor: 0.610   
14. 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: 2.645   
15. 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   
16. 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   
17. Imran Ahmed (2012), "Weighted Homogeneous Polynomials with Isomorphic Minor Algebras", Journal of Prime Research in Mathematics, pp: 106-114, Vol: 8   
18. 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, ISSN: 0362-1588, Impact Factor: 0.43    (External URL)
19. Imran Ahmed (2010), "Homogeneous Polynomials with Isomorphic Milnor Algebras", Czechoslovak Mathematical Journal, pp: 125-131, Vol: 60, Issue: 1, ISSN: 0011-4642 (print)1572-9141 (electronic), Impact Factor: 0.294    (External URL)
20. Imran Ahmed (2010), "Polar Cremona Transformations and Monodromy of Polynomials", Studia Scientiarum Mathematicarum Hungarica, pp: 81-89, Vol: 47, Issue: 1, ISSN: 0081-6906 (Print) 1588-2896 (Online), Impact Factor: 0.627    (External URL)
Conference Papers:
1. Imran Ahmed (2015) "Mixed Bruce-Roberts Numbers", 10th Mini Workshop in Singularities, Geometry and Differential Equations   
2. Imran Ahmed (2011) "Polar Cremona Transformations and Milnor Algebras", Workshop on Dynamical Systems   

Qualification

Post-Doctorate
ICMC, University of Sao Paulo, Brazil
Aug 2009 to Dec 2012
   
Ph.D.
Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan
Sep 2004 to May 2008
   

Experience

Tenured Associate Professor
COMSATS University Islamabad, Lahore Campus, Lahore
Dec 2019 to Date
   
Assistant Professor
COMSATS University Islamabad, Lahore Campus, Lahore
May 2008 to Dec 2019
   
Lecturer / Research Associate
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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