**Mudumbai Seshachalu Narasimhan FRS** (born 1932) is an eminent Indian mathematician. He is well known along with C S Seshadri for their proof of the Narasimhan–Seshadri theorem, and both were elected as Fellows of the Royal Society.

Narasimhan did his undergraduate studies at Loyola College, Chennai, where he was taught by Fr Racine. Fr Racine had studied with the famous French mathematicians Élie Cartan and Jacques Hadamard, and connected his students with the latest developments in modern mathematics. Among Racine's other students who achieved eminence, we may count Subbaramiah Minakshisundaram, K. G. Ramanathan, C S Seshadri, Raghavan Narasimhan, and C. P. Ramanujam.

Narasimhan went to the Tata Institute of Fundamental Research (TIFR), Bombay, for his graduate studies. He obtained his Ph.D. from University of Mumbai in 1960; his advisor was K. Chandrasekharan. Among Narasimhan's distinguished students is M. S. Raghunathan who followed in this footsteps to bag the Shanti Swarup Bhatnagar Prize as well as become FRS. Two other students who made a mark as top-notch mathematicians are S. Ramanan and V. K. Patodi.

Visiting Scholar, Institute for Advanced Study (1968-1969)
Fellow of the Royal Society, London
Head, Mathematics Group of the Abdus Salam International Centre for Theoretical Physics (1992–1999)
Honorary Fellow, Tata Institute of Fundamental Research, Bangalore Centre.
Shanti Swarup Bhatnagar Prize (1975)
TWAS Prize for Mathematics (1987)
Padma Bhushan (1990)
King Faisal International Prize for Science, 2006 (jointly with Simon Donaldson, Imperial College)