Dr. Neha Verma: Assistant Professor at Delhi Technological University, India
Neha Verma is a dedicated young mathematician who has recently submitted her Ph.D. thesis in Mathematics at Delhi Technological University, Delhi, India. Her academic journey demonstrates consistent excellence, beginning with her undergraduate and postgraduate studies at the University of Delhi, where she achieved outstanding academic results. She has cultivated a strong background in both pure and applied mathematics, which has led her to specialize in the field of Complex Analysis and Geometric Function Theory. Her doctoral work has focused on coefficient problems, Hankel determinants, and higher-order differential subordinations, areas that form the core of classical analytic function theory and remain central to modern mathematical research. Alongside her academic research, she has been actively engaged in teaching, mentoring, and guiding undergraduate students, thereby combining her expertise in mathematical theory with her passion for sharing knowledge.
Online Profiles
According to her Google Scholar profile, Neha Verma’s research contributions have been cited 31 times since 2020, reflecting the visibility and scholarly relevance of her work in Complex Analysis and Geometric Function Theory. Her h-index is 3, indicating that at least three of her publications have received three or more citations each, and her i10-index is 1, representing one publication with ten or more citations. These metrics demonstrate a growing impact and engagement of her research in the international mathematical community.
Education
Neha has demonstrated outstanding academic achievements at every stage of her education. She completed her Ph.D. in Mathematics (2021–2025, thesis submitted) at Delhi Technological University with a perfect CGPA of 10.0, reflecting her rigorous research capabilities and mastery of advanced mathematical concepts. Prior to that, she pursued her M.Sc. in Mathematics at the University of Delhi (2019–2021), securing a CGPA of 8.20/10.00, with coursework spanning advanced topics such as functional analysis, algebraic topology, and cryptography. Her undergraduate studies at the University of Delhi (2016–2019) also reflected academic distinction with a CGPA of 9.44/10.00, where she built a strong foundation in real analysis, algebra, and number theory. She achieved remarkable results in her schooling as well, earning 94% in Intermediate (2015) and 93.6% in High School (2013) at Vivekanand Senior Secondary School, which set the stage for her continued excellence in higher education.
Research Focus
Her research interests are primarily centered on Complex Analysis and Geometric Function Theory, two domains that play a significant role in both theoretical mathematics and its applications in applied sciences. In particular, she focuses on the study of subclasses of univalent and starlike functions, coefficient estimation problems, Hankel determinants, and differential subordination. Her work contributes to the broader understanding of function theory by addressing long-standing open problems, proposing conjectures, and providing sharp bounds for mathematical constructs that are critical in the field. Her publications have provided new insights into classes of analytic functions associated with geometric domains such as strip domains, cardioid functions, and petal-shaped regions. By combining classical approaches with modern computational methods, she continues to explore deeper aspects of geometric function theory and its extensions.
Experience
Neha has gained valuable academic and teaching experience during her doctoral program at Delhi Technological University. She has taught a range of theory subjects such as Probability and Statistics, Complex Analysis, Engineering Mathematics II, and Engineering Mathematics III, delivering lectures to undergraduate engineering and mathematics students. These experiences have strengthened her ability to present abstract mathematical concepts in an accessible manner. Additionally, she has served as a lab instructor for courses in C Programming, MATLAB, and Python from 2021 to 2024, thereby integrating computational approaches with mathematical analysis. Her dual focus on pure mathematics and computational tools demonstrates her versatility as both a researcher and educator, allowing her to effectively contribute to interdisciplinary academic settings.
Research Timeline & Activities
Between 2021 and 2025, Neha focused intensively on her doctoral research, publishing multiple papers in SCIE-indexed journals of international repute such as Mathematical Methods in the Applied Sciences, Complex Variables and Elliptic Equations, Mathematica Slovaca, and the Bulletin of the Belgian Mathematical Society. She has also been actively engaged in presenting her research findings at conferences across India, including events hosted by Shivaji College, Shyam Lal College, and JECRC University. Her participation in international online conferences, such as those organized by Dr. Ambedkar Government Arts College, Chennai, and Tezpur University, Assam, reflects her consistent effort to share her work with the broader mathematical community. This timeline highlights her steady academic growth, marked by a balance of research publications, conference presentations, and teaching activities.
Awards & Honors
Neha’s academic excellence has been recognized through prestigious awards and scholarships. She received the C. L. Rustogi Memorial Prize in 2016 for her outstanding performance during her undergraduate studies, highlighting her early distinction in mathematics. In 2017, she was awarded the Smt. Kamla Rani Ram Kishore Memorial Scholarship, recognizing her sustained academic merit and dedication to higher studies. These honors stand as early indicators of her commitment to academic rigor and research excellence, which have continued throughout her career.
Top Recent Publication
Among her recent scholarly contributions, her paper titled “On Sharp Bound of Third Hankel Determinant for Functions in S(α)”* published in Mathematical Methods in the Applied Sciences in 2025 stands out as a significant achievement. This work provides new results on sharp coefficient bounds related to Hankel determinants, addressing an area of active research in geometric function theory. The article not only advances the understanding of starlike functions but also establishes results with potential implications for complex function theory as a whole. [DOI: 10.1002/mma.11091]
S. S. Kumar and N. Verma, On Estimation of Hankel Determinants for Certain Class of Starlike Functions, Filomat, 39(12), pp. 3907–3930, 2025. (Cited 1 time)
S. S. Kumar and N. Verma, On a Subclass of Starlike Functions Associated with a Strip Domain, Ukrainian Mathematical Journal, 2025.
(Earlier version: arXiv preprint arXiv:2312.15266, 2023; cited 2 times)S. K. Shanmugam and N. Verma, Certain Coefficient Problems of Se and Ce, Tamkang Journal of Mathematics, 56(2), pp. 187–208, 2025.
S. S. Kumar and N. Verma, Higher Order Differential Subordinations for Certain Starlike Functions, Bulletin of the Belgian Mathematical Society Simon Stevin, 31(3), pp. 384–405, 2024. (Cited 2 times)
S. S. Kumar and N. Verma, Second and Third Order Differential Subordination for Exponential Function, arXiv preprint arXiv:2403.19712, 2024.