Dr. Mohabbat Ali

Assistant Professor – Basic & Applied Sciences

Interest Area(s)

  • Differential Geometry
  • Differentiable Manifolds
  • General Relativity
  • Tensor Analysis

Dr. Mohabbat Ali is currently serving as an Assistant Professor of Mathematics at the School of Basic & Applied Sciences, K. R. Mangalam University. He earned his PhD in Mathematics from Jamia Millia Islamia, New Delhi, specializing in Differential Geometry. During his doctoral studies, he investigated certain geometric and physical properties of manifolds.
Dr. Ali has published more than several research papers in reputable international journals with high impact factors like American Institute of Mathematical Sciences (AIMS Mathematics), Filomat, International Journal of Geometric Methods in Modern Physics, Communications of the Korean Mathematical Society, Mathematics, Honam Mathematical Journal, Journal of Dynamical Systems and Geometric Theories, Novi Sad Journal of Mathematics and many others. He has also presented his research at many international and national conferences both in India and abroad. Furthermore, he has collaborated with numerous international authors and has acted as a referee for several respected national and international journals.
A dedicated and enthusiastic learner, Dr. Ali is always eager to expand his mathematical skills. In addition to his excellent teaching and research capabilities, he is a dynamic, energetic, and hardworking individual committed to his responsibilities.

Academic Identity

  • Orcid ID: 0000-0001-8518-4942
  • Scopus Author ID: 57214142574
  • Web of Science Researcher ID: ISU-2525-2023
  • Google Scholar ID: nQHH2V0AAAAJ&hl
  • Vidwan ID: 465430
  • Ph.D. (Mathematics) [2018-2023] Jamia Millia Islamia (Central University), New Delhi, India.
    Thesis title: Investigation of Certain Curvature Properties on Manifolds
  • M.Sc. (Mathematics with Computer Science) [2016-2018] Jamia Millia Islamia (Central University), New Delhi, India
  • B.Sc. (Hons) Mathematics [2011-2014] University of Delhi, Delhi, India.
  • Assistant Professor (Joined on 12th August, 2024), School of Basic & Applied Sciences, K. R. Mangalam University, Gurugram, Haryana-122103, India.
  • Assistant Professor (16th August, 2023 – 7th August, 2024) Department of Applied Sciences & Humanities, Greater Noida College of Technology, Delhi-NCR, India. (Affiliated by Uttar Pradesh Technical University now Dr. A. P. J. Abdul Kalam Technical University).
  • Geometry of differentiable manifolds. Also working on certain geometric properties of curvature tensors on manifolds and anticipate finding certain theoretical applications.

PRESENTATION IN INTERNATIONAL/ NATIONAL CONFERENCES

  1. “Geometry of certain curvature tensors on generalized recurrent manifolds”, in the International Conference on Pure and Applied Mathematics, organized by Department of Mathematics, Janki Devi Memorial College, University of Delhi, New Delhi, India during February 22-23, 2024.
  2. “Almost pseudo conformally symmetric Riemannian manifolds”, in the XI International Skorobohatko Mathematical Conference, organized by Pidstrygach Institute of Applied Problems of Mechanics and Mathematics, Lviv, Ukraine during October 26-30, 2020.
  3. “On a special type of Riemannian manifolds” in the 27th International Conference on Recent Advances in Differential Geometry and Topology, organized by Department of Mathematics and Statistics, Central University of Punjab, Bathinda, India during October 26-28, 2021.
  4. “Generalized recurrent Riemannian manifolds” in the International Conference on Applicable Mathematics, organized by Department of Mathematics, Ramanujan College, University of Delhi, Delhi, India sponsored by Science and Engineering Research Board and University Grants Commission during December 19-21, 2019.
  5. “Some results on recurrent Riemannian manifolds” in the International Conference on Discrete and Applied Mathematics, organized by the Centre for Studies in Discrete Mathematics, Vidya Academy of Science and Technology in association with Kerala Mathematical Association, Thrissur, Kerala, India during September 18-19, 2021.
  6. “Weakly pseudo projectively symmetric Riemannian manifolds”, in the 1st International Conference on Advances in Mathematics, Science and Technology, organized by Department of Mathematics, Rajiv Gandhi University (Central University), Arunachal Pradesh, India during September 01-03, 2020.
  7. “Special weakly Ricci-symmetric manifolds”, in the International Conference on Present Scenario of Mathematical Sciences, organized by Department of Mathematics, Karnatak University’s Karnatak Arts College, Dharwad, Karnataka, India during July 12-14, 2020.
  8. “Some curvature conditions on Riemannian manifold”, in the International Conference on Mathematical Analysis and Applications, organized by Department of Mathematics, National Institute of Technology, Jamshedpur, India during November 02-04, 2020.
  9. “Almost pseudo concircularly symmetric Riemannian manifolds”, in the National Conference on Advances in Mathematical Analysis and its Applications, organized by Department of Mathematics, P.G.D.A.V. College, University of Delhi, Delhi, India during November 08-10, 2019.

ATTENDED CONFERENCES

  1. Conference on Functional Analysis and Fractals (CFAF-2024), organized by the Department of Applied Sciences, IIIT, Allahabad, India held during 16-18 February, 2024.
  2. Advances in Topology and Differential Geometry, organized by Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, C.G. held during 18-20 December, 2023.
  3. 9th National Conference on Mathematics Education, organized by National Council of Educational Research and Training, Regional Institute of Education, Bhopal, India held during 20-22 December, 2022.
  4. International Symposium on Differential Geometry and its Applications organized by the Department of Mathematics, School of Sciences, Maulana Azad National Urdu University, Hyderabad, India during March 30-31,
  5. International Web Conference on Emerging Areas of Math- ematics and Mathematical Sciences, organized by Calcutta Mathematical Society, Kolkata, India held during 12-14 December, 2021.
  6. International workshop on Geometry of Continued Fractions: Ramanujan and his Successors, organized by Srinivasa Ramanujan Department of Mathematics, Central University of Himachal Pradesh, India held during 14-15 September, 2021.
  7. International Conference on Recent Advancement in Science and Technology, organized by the Glocal University, Saharanpur, U.P. held during 11-12 November, 2020.
  8. The Second Annual Conference, organized by Mathematics Teachers’ Association, India during September 05-06, 2020.
  9. 26th International Conference of IAPS on Advances in Differential Equations & Mathematical Modelling, organized by School of Computational and Integrative Sciences, Jawaharlal Nehru University, New Delhi, India & International Academy of Physical Sciences during December 18-20, 2020.
  1. A study of mixed super quasi-Einstein manifolds with applications to general relativity, International Journal of Geometric Methods in Modern Physics, (2024) 2450177 (21 pages). https://doi.org/10.1142/S0219887824501779 (SCI).
  2. Generalized quasi-Einstein warped products manifolds with respect to affine connections, Filomat, 38(6) (2024), 2061–2077 (SCI).
  3. Pseudo generalized quasi-Einstein manifolds with applications to general relativity, Filomat, 38(2) (2024), 553–567 (SCI).
  4. On weakly cyclic generalized B-symmetric manifolds, Communications of the Korean Mathematical Society, 38(4) (2023), 1271–1280  (ESCI and SCOPUS).
  5. A study of mixed generalized quasi-Einstein spacetimes with applica- tions in general relativity, AIMS Mathematics, 8(10) (2023), 24726–24739 (SCI).
  6. On almost pseudo Schouten symmetric manifolds, Facta Universitatis-Series Mathematics and Informatics, 38(1) (2023), 109–124  (ESCI).
  7. On generalized W3-recurrent Riemannian manifolds, Honam Mathematical Journal, 45(2) (2023), 325–339  (ESCI).
  8. On almost pseudo M-projectively symmetric Riemannian manifolds, Novi Sad Journal of Mathematics, 46(4) (2022), 136–162 (SCOPUS).
  9. Application of mixed generalized quasi-Einstein spacetimes in general relativity, Mathematics, 10(20) (2022) 3749 (SCI).
  10. Z-symmetric manifolds admitting Schouten tensor”, Mathematics, 10(22) (2022) 4293 (SCI).
  11. Almost pseudo Ricci-symmetric manifold admitting Schouten tensor, Journal of Dynamical Systems and Geometric Theories (Taylor & Francis), 19(2) (2021), 217–225 (ESCI).
  12. On generalized pseudo-symmetric manifolds, Bulletin of the Calcutta Mathematical Society, 113(4) (2021), 353–362 (UGC-CARE).
  • Cleared GATE-2018.
  • Availed UGC Sponsored Fellowship during the research period.
  • Completed the Course on Computer Concepts conducted by the NIELIT (formerly DOEACC Society).