DR. SAJAD AHMAD SHEIKH

Assistant Professor | M. Sc / M Tech (J. N. U)

Department of Mathematics

About Me

I have been working as an assistant professor in the department of Mathematics, South Campus, University of Kashmir from 2013. I completed my Ph.D. specializing in the study of random polynomials. I hold a Master's degree in Mathematics from Jamia Millia Islamia, New Delhi, and an M.Tech in Computer Science from Jawaharlal Nehru University, New Delhi. My academic journey is fueled by a deep-seated passion for mathematics and computer science, with a focus on polynomial theory, probability, and algorithms.

My research interests are an amalgamation of theoretical and applied aspects, often intertwining to offer fresh perspectives in both domains, including analysis, algorithms, geometry, machine learning, and deep learning. Probability theory and mathematical/scientific machine learning are the key areas where I seek to contribute, particularly in their intersection with algorithmic complexities.

Apart from my core research activities, I am deeply invested in educational methods that go beyond traditional approaches. I enjoy mathematical animation as a tool for enhanced learning and understanding. I am a great fan of the Python animation library ManimCE, which I find offers an engaging way to break down complex mathematical ideas into understandable and visually appealing concepts.

I also indulge in recreational mathematics, which I believe nurtures creativity and introduces an element of 'play' into what many consider to be a rigid and formulaic field. In my teaching career, I strive to imbue my students with a sense of wonder and enthusiasm for mathematics, guiding them to explore its multi-faceted nature. Inspired by Erdos, I believe problem posing is as important as problem solving. With a Ph.D. on random polynomials, I aim to explore new and elegant methods that could be adapted to a wider class of problems involving randomness and polynomials, as well as problems in complex analysis. I am always open to collaborative opportunities that align with my research interests and look forward to contributing to interdisciplinary projects.

Selected Published Papers

  • Alhamzi, G., Sheikh, S. A., Jadhav, P., Beleyur, V., & Jeelani, M. B. (2026). Hardy Averaging via Distribution Transport: Sharp Lp Bounds, Power Weights, and a Volterra Resolvent. Axioms, 15(6), 391. https://doi.org/10.3390/axioms15060391
  • Sheikh, S. A., & Mir, M. I. (2024). Probabilistic zero bounds of certain random polynomials. Journal of Applied Mathematics, Statistics and Informatics, 20(1), 53–66. https://doi.org/10.2478/jamsi-2024-0004
  • Sheikh, S. A., & Mir, M. I. (2024). On average modulus of random polynomials over a unit circle and disc. Journal of the Indian Society for Probability and Statistics, 25(3), 707–722. https://doi.org/10.1007/s41096-024-00198-5
  • Sheikh, S. A., Mir, M. I., Alamri, O. A., & Dar, J. G. (2024). On Variance and Average Moduli of Zeros and Critical Points of Polynomials. Symmetry, 16(3), 349. https://doi.org/10.3390/sym16030349
  • Sheikh, S. A., & Mandal, P. (2024). On Number of Ordered Pairs of Positive Integers with Given Least Common Multiple. Results in Nonlinear Analysis, 7(3), 209–216. https://doi.org/10.31838/rna/2024.07.03.016
  • Sheikh, S. A. (2024). An algebraic approach to the Fundamental Theorem of Algebra. Rendiconti del Circolo Matematico di Palermo Series 2.
  • Sheikh, S. A. (2024). Perturbation Approach to Polynomial Root Estimation and Expected Maximum Modulus of Zeros with Uniform Perturbations. Mathematics.
  • Sheikh, S. A., Mir, M. I., Dar, J. G., Almanjahie, I. M., & Alshahrani, F. (2023). A Probabilistic Version of Eneström–Kakeya Theorem for Certain Random Polynomials. Mathematics, 11(19), 4061. https://doi.org/10.3390/math11194061
  • Sheikh, S. A. (2018). Two Algorithms For Constructing A Regular Polygon Of Given Side Length. Webology, 15(1), 219–225. ISSN: 1735-188X.
  • Sheikh, S. A. (2017). On a certain problem in geometric probability concerning regular polygons. International Journal of Applied Research, 3(6), 1480–1483. ISSN: 2394-7500 (Print), 2394-5869 (Online).