Professor Muthukumar T is a faculty member in the Department of Mathematics & Statistics at the Indian Institute of Technology Kanpur (IIT Kanpur). He holds a PhD from the Institute of Mathematical Sciences and has been contributing to the field of mathematical analysis with a focus on partial differential equations. PhD, Institute of Mathematical Sciences (2006) M.Sc., Pondicherry University (2000) B.Sc., DRBCCC Hindu College, Madras (1998) Professor Muthukumar's research focuses on Homogenization and Variational Methods for PDE's, Elliptic PDE's, and Optimal controls. His work bridges theoretical mathematics with practical applications in material science and engineering problems. His research has significant implications for understanding complex material behaviors and developing mathematical frameworks for optimization problems. His recent publications demonstrate a strong focus on homogenization techniques applied to boundary value problems, particularly in layered materials and viscoelastic systems. The research spans both theoretical developments in partial differential equations and their applications to physical phenomena like indentation problems and fluid dynamics. His work shows consistent contributions to the field over the past decade, with publications in high-impact journals such as SIAM Journal on Mathematical Analysis, Journal of Elasticity, and Zeitschrift für angewandte Mathematik und Physik. Professor Muthukumar maintains an active research program within the Mathematics & Statistics department at IIT Kanpur, contributing to the institution's reputation in applied mathematics research. His office is located in FB 326 at the Department of Mathematics & Statistics, Indian Institute of Technology, Kanpur, UP, India-208016.