P. Muthukumar

P. Muthukumar is an Assistant Professor in the Department of Mathematics & Statistics at the Indian Institute of Technology Kanpur (IIT Kanpur), where he specializes in Complex Analysis and Operator Theory.

His educational background includes:

• PhD in Mathematics (2013-2019) from Indian Statistical Institute, Chennai
• M.Sc. in Mathematics (2010-2012) from Indian Institute of Technology Madras, Chennai
• B.Sc. in Mathematics (2007-2010) from Arulmigu Palaniandavar College of Arts and Culture, Madurai Kamaraj University, Tamil Nadu

Dr. Muthukumar's research focuses on Complex Analysis and Operator Theory, with particular emphasis on composition operators, Hardy spaces, and their applications on various mathematical structures including homogenous trees. His work explores the intricate relationships between function theory and operator theory, contributing to the theoretical foundations of mathematical analysis. His research has significant implications for understanding complex function spaces and their operator-theoretic properties, with applications extending to theoretical physics and other mathematical disciplines.

Dr. Muthukumar has been recognized with several prestigious awards including the P. K. Jain Award by Indian Mathematical Society in 2021, Laureates of the CIMPA-CRM programme in 2019, CSIR-Shyama Prasad Mukherjee (SPM) Fellowship in 2012, Prof. L. K. Chetty Memorial Endowment Prize in 2010, and Proficiency Prize of Madurai Kamaraj University in 2010.