Complex analysis with a focus on univalent function theory, harmonic mappings, and quasiconformal mappings

Prof. Vasudeva Rao Allu is a Professor in the Department of Mathematics, School of Basic Sciences, Indian Institute of Technology Bhubaneswar, where he has been serving as Professor since April 2023, following his tenure as Associate Professor (2018–2023). He received his Ph.D. in Mathematics from the Indian Institute of Technology Madras in 2010 under the supervision of Prof. S. Ponnusamy, with a thesis focused on regions of variability problems for classes of univalent functions. His research interests lie primarily in Complex Analysis, Univalent Function Theory, Harmonic Mappings, and Quasiconformal Mappings. Prof. Allu has an extensive academic and research career, including postdoctoral fellowships at the Technion–Israel Institute of Technology and IIT Madras, and has authored a large body of high-impact research publications in leading international journals. He is the editor and editorial board member of several reputed mathematical journals and has received numerous honors, including Teaching Excellence Awards from IIT Bhubaneswar, the Srinivasa Ramanujan Memorial Award (2022), and international travel and research fellowships. An accomplished mentor, he has successfully supervised multiple Ph.D. scholars and postdoctoral researchers and has led several funded research projects supported by national agencies such as SERB, NBHM, AICTE, and ISIRD. Reference: Landau-Bloch type theorem for certain  harmonic mappings In this talk, we discuss an improved coefficient bounds for quasiregular and elliptic harmonic mappings and using these bounds we establish Landau-Bloch type theorem for $(K,K')$-elliptic and $K$-quasiregular harmonic mappings in the plane. Furthermore, we discuss the coefficient estimates for $K$-quasiconformal harmonic self maps defined on the unit disc $\mathbb{D}$.