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M. S. Raghunathan

M. S. Raghunathan is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand M. S. Raghunathan rather than just read about it. In short: Madabusi Santanam Raghunathan FRS is an Indian mathematician. He is currently a Distinguished Professor of Mathematics at the Centre for Excellence in Basic Sciences (CEBS) in Mumbai, India.

M. S. Raghunathan — main illustration
M. S. Raghunathan — illustration

Key takeaways

  • M. S. Raghunathan belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect M. S. Raghunathan to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of M. S. Raghunathan from memory before moving on to harder problems.

Reference excerpt

Madabusi Santanam Raghunathan FRS is an Indian mathematician. He is currently a Distinguished Professor of Mathematics at the Centre for Excellence in Basic Sciences (CEBS) in Mumbai, India. Previously, he was the Head of the National Centre for Mathematics, Indian Institute of Technology, Mumbai. Formerly Professor of eminence at TIFR in Homi Bhabha Chair. Raghunathan received his PhD in Mathematics from (TIFR), University of Mumbai; his advisor was M. S. Narasimhan. Raghunathan is a Fellow of the Royal Society, of the Third World Academy of Sciences, and of the American Mathematical Society and a recipient of the civilian honour of Padma Bhushan. He has also been on the Mathematical Sciences jury for the Infosys Prize from 2016.

Early life and education Madabusi Santanam Raghunathan was born on 11 August 1941 at Anantapur, Andhra Pradesh, his maternal grandparents' place. The family lived in Chennai. His father Santanam continued the family's timber business and expanded it through exports to Europe and Japan. He had earlier joined the Indian Institute of Science, Bangalore, after a BSc in Physics, but had to leave his studies mid-way to take care of the family business. Raghunathan fondly recalls that his father had a feeling for science and used to talk about it, making it very interesting to the children. Raghunathan's mother came from a family with an academic tradition. Her father was an esteemed Professor of English, who had contributed articles to the Cornhill Magazine. He also wrote, and published on his own, a book on William Makepeace Thackeray, which was later found to have been reprinted in the United States, without his knowledge, indeed in violation of the copyright he held. Raghunathan had his schooling in Chennai, in P.S. High School, Mylapore and the Madras Christian College High School. He passed his SSLC (Secondary School Leaving Certificate) examination in 1955. There is a rather interesting story about it: after the Sanskrit paper he absent-mindedly left the examination hall along with his answer paper, and was intercepted on his way home by a fellow student, following commotion at the examination hall on account of the missing answer paper. He narrowly escaped having to reappear for the entire examination, thanks to the headmaster vouching for his integrity. The University of Madras had the curious restriction of not admitting anyone under the age of 14 years and six months, though after attaining that age it was possible to be admitted even in higher classes. Raghunathan therefore pursued his Intermediate at the St. Joseph's College, Bangalore during 1955–57. He then returned to Chennai and joined B.A.(Hons.) in mathematics, in Vivekananda College, which had a very good reputation.

Research After initial training during 1960–62, he worked on a research problem suggested by Prof. M.S. Narasimhan, on "Deformations of linear connections and Riemannian metrics", and solved it by the summer of 1963. He wrote his PhD thesis under the guidance of Professor Narasimhan and was awarded the degree by the University of Bombay in 1966. After completing his PhD, Raghunathan spent a year at the Institute for Advanced Study, Princeton, US. Through the years, he has held visiting position in many academic institutions in the US, Europe and Japan, for durations ranging from a few weeks to a year, and has spoken at several international conferences, including the 1970 International Congress of Mathematicians in Nice . Discrete subgroups of Lie groups have been the central objects of his research. He has made contributions to rigidity and arithmeticity problems.

Contribution Raghunathan has also played an important role in the promotion of mathematics through various scientific bodies, in both advisory and administrative capacities. He organised the Ramanujan centenary celebrations in Chennai in 1987, with an international conference attended by the foremost number theorists. His most important and comprehensive contribution in this sphere has been his role in the National Board for Higher Mathematics (NBHM). Raghunathan was a member of the Board since it was formed in 1983 and became its chairman in 1987. He continues to serve in that capacity. The Board has undertaken a variety of activities through the years: apart from providing financial support to mathematics libraries around the country and grants for research projects, organising conferences, travel to both national and international events and so on, the Board has taken a pro-active role in tapping mathematical talent through various activities, such as Olympiad activity, Mathematics Training and Talent Search, Scholarships/Fellowships at the M.Sc., Ph.D. and post- doctoral levels, and the rather innovative Nurture Programme conceived by Raghunathan to support learning of mathematics by students even while pursuing other career options. He organized the International Congress of Mathematicians (ICM 2010) at Hyderabad in India. This was the first ever ICM held in India.

Published book Raghunathan's book "Discrete Subgroups of Lie Groups", published by Springer Verlag, Germany, in 1972 is now a classic in the area. It is unique in its coverage of various results which in recent decades have been put to considerable use, and as such it is much appreciated and widely referred to. The book has been translated into Russian and published with an appendix by Grigory Margulis.

References

External links Biography [3]

Illustrations

M. S. Raghunathan: The President, Smt. Pratibha Devisingh Patil presenting the Padma Bhushan Award to Dr. Madabusi Santanam Raghunathan, at an Investiture Ceremony-II, at Rashtrapati Bhavan, in New Delhi on April 04, 2012
The President, Smt. Pratibha Devisingh Patil presenting the Padma Bhushan Award to Dr. Madabusi Santanam Raghunathan, at an Investiture Ceremony-II, at Rashtrapati Bhavan, in New Delhi on April 04, 2012

Worked examples

Example 1 — a first encounter with M. S. Raghunathan

Start with the simplest possible case. Write down what M. S. Raghunathan claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to M. S. Raghunathan before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about M. S. Raghunathan ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of M. S. Raghunathan

In research
M. S. Raghunathan appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses M. S. Raghunathan in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
M. S. Raghunathan is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1941 births, 20th-century Indian mathematicians, 21st-century Indian mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for M. S. Raghunathan outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study M. S. Raghunathan in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what M. S. Raghunathan means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain M. S. Raghunathan out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is M. S. Raghunathan in simple terms?

Madabusi Santanam Raghunathan FRS is an Indian mathematician. He is currently a Distinguished Professor of Mathematics at the Centre for Excellence in Basic Sciences (CEBS) in Mumbai, India.

Why does M. S. Raghunathan matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study M. S. Raghunathan?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on M. S. Raghunathan.

Tags

  • 1941 births
  • 20th-century Indian mathematicians
  • 21st-century Indian mathematicians
  • Differential geometers
  • Fellows of the American Mathematical Society
  • Indian Institute of Science alumni
  • Indian fellows of the Royal Society
  • Living people
  • People from Anantapur district
  • Recipients of the Padma Bhushan in science & engineering
  • Recipients of the Padma Shri in science & engineering
  • Recipients of the Shanti Swarup Bhatnagar Award in Mathematical Science

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