I have recently submitted my Ph.D. thesis in the Department of Mathematics at Sant Longowal Institute of Engineering and Technology (SLIET), Punjab, with specialization in Geometric Function Theory. My research work focuses on analytic and harmonic univalent functions, Cesàro means, convolution, and subordination, employing advanced techniques such as Schur-Cohn’s rule, shear construction, and polylogarithmic function-based mappings. I have a strong academic background in complex analysis with emerging interests in the connections between geometric function theory, complex manifolds, and modern applications such as complex-valued neural networks.
- Ph.D. Mathematics (Thesis submitted, Oct 2021 – Present)
- M.Sc. Mathematics (2017 – 2019)
- B.Sc. (Hons.) Mathematics (2014 – 2017)
- Manju Yadav, Sushma Gupta and Sukhjit Singh, Subordination of Cesàro means of convex functions, Bulletin of the Malaysian Mathematical Sciences Society, Vol. 46(48) (2023), https://doi.org/10.1007/s40840-022-01423-9.
- Manju Yadav, Sushma Gupta and Sukhjit Singh, Polylogarithms and Subordination of Some Cubic Polynomials, Kyungpook Mathematical Journal, Vol. 64, 57– 68 (2024), https://doi.org/10.5666/KMJ.2024.64.1.57.
- Manju Yadav, Sushma Gupta and Sukhjit Singh, Mapping Properties of a Family of Planar Harmonic Functions, Bulletin of the Korean Mathematical Society, Vol. 62 (3), 809–825 (2025), https://doi.org/10.4134/BKMS.b240259.
- Participated in 26th Punjab Science Congress on the theme “Environment, Food Security and Health with Respect to Climate Change” being organized by Sri Guru Granth Sahib World University, Patiala, India on February 7-9, 2023.
- Attended an International Workshop on Geometric Function Theory (IWGFT 2023), Organized by Department of Mathematics, IIT Madras jointly with Forum d’ Analystes, Chennai, India, 18-20 August, 2023.
- Participated in the 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (29th ICFIDCAA), Organized by Department of Mathematics, Pondicherry University, India, 21-25 August, 2023.
Participated in the International Conference on Special functions, Analytic functions, Metrics and quasiconformalitY (ICSAMY 2024), Organized by Department of Mathematics, IIT Indore, India, 17-20 December, 2024.
- Joint Admission test for Masters (JAM) – Qualified, 2017 (organised by IIT, Delhi)
- Graduate Aptitude Test in Engineering (GATE) – Qualified, Feb 2021 (For Junior Research Fellowship June 2021).
- CSIR-UGC NET – Qualified in June 2019, November 2020, and June 2021.
- Awarded Junior Research Fellowship (JRF) – June 2021.
- Awarded Young Scientist Award (2023) at the 26th Punjab Science Congress, held at Sri Guru Granth Sahib World University, Fatehgarh Sahib, Punjab, India.
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