mathematics

Raman Parimala

Raman Parimala 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 Raman Parimala rather than just read about it. In short: Raman Parimala (born 21 November 1948) is an Indian mathematician known for her contributions to algebra. She is the Arts & Sciences Distinguished Professor of mathematics at Emory University.

Key takeaways

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

Reference excerpt

Raman Parimala (born 21 November 1948) is an Indian mathematician known for her contributions to algebra. She is the Arts & Sciences Distinguished Professor of mathematics at Emory University. For many years, she was a professor at Tata Institute of Fundamental Research (TIFR), Mumbai. She was on the Mathematical Sciences jury for the Infosys Prize 2019—2022 and was on the Abel Prize selection Committee 2021–2023.

Background Parimala was born and raised in Tamil Nadu, India. She studied in Saradha Vidyalaya Girls' High School and Stella Maris College at Chennai. She received her B. Sc. in 1968 and her M.Sc. in 1970 from Madras University. In 1976, Parimala earned her Ph.D. from the University of Mumbai; her advisor was R. Sridharan from TIFR. In 1987, she won the highest science award in India: The Shanti Swarup Bhatnagar Prize. She is a fellow of the Indian National Science Academy (New Delhi).

Selected publications 2021: "Local triviality for G-torsors", Gille, P.; Parimala, R.; Suresh, V., Math. Ann. 380, no. 1-2, 539–567. MR 4263691 2018: "Local-global principle for reduced norms over function fields of p-adic curves", Parimala, R.; Preeti, R.; Suresh, V., Compos. Math. 154, no. 2, 410–458. MR 3732207 2014: "Period-index and u-invariant questions for function fields over complete discretely valued fields", Parimala, R.; Suresh, V., Invent. Math. 197, no. 1, 215–235. MR 3219517 2001: "Hermitian analogue of a theorem of Springer", R Parimala, R. Sridharan, V Suresh - Journal of Algebra, - Elsevier doi:10.1006/jabr.2001.8830 1998: "Classical groups and the Hasse principle", E Bayer-Fluckiger, R Parimala - Annals of Mathematics, jstor.org doi:10.2307/120961 1995: "Galois cohomology of the classical groups over fields of cohomological dimension ≤2", Bayer-Fluckiger, E.; Parimala, R., Invent. Math. 122, no. 2, 195–229. MR 1358975 1990: "Real components of algebraic varieties and étale cohomology", Colliot-Thélène, J.-L.; Parimala, R., Invent. Math. 101, no. 1, 81–99. MR 1055712 1982: "Quadratic spaces over polynomial extensions of regular rings of dimension 2", Mathematische Annalen, vol. 261, pp. 287–292 doi:10.1007/BF01455449 1976: "Failure of a quadratic analogue of Serre's conjecture", Bulletin of the AMS, vol. 82, pp. 962–964, Colliot-Thélène, J.-L.; Parimala, R., Invent. Math. 101, no. 1, 81–99. MR 0419427

Honors On National Science Day in 2020, Smriti Irani, head of the Ministry of Women and Child Development of the Government of India, announced the establishment of chairs at institutes across India in the names of Raman Parimala and other ten Indian women scientists. Parimala was an invited speaker at the International Congress of Mathematicians in Zurich in 1994 and gave a talk Study of quadratic forms — some connections with geometry Archived 3 October 2016 at the Wayback Machine. She gave a plenary address Arithmetic of linear algebraic groups over two dimensional fields at the Congress in Hyderabad in 2010.

Fellow of the Indian Academy of Sciences Fellow of Indian National Science Academy Bhatnagar Award in 1987 Honorary Membership of the London Mathematical Society in 2024 Honorary doctorate from the University of Lausanne in 1999 Srinivasa Ramanujan Birth Centenary Award in 2003. TWAS Prize for Mathematics (2005). Fellow of the American Mathematical Society (2012)

Notes

External links Raman Parimala at the Mathematics Genealogy Project Home page at Emory Archived 14 October 2016 at the Wayback Machine Parimala's biography in the Agnes Scott College database of women mathematicians

Illustrations

Worked examples

Example 1 — a first encounter with Raman Parimala

Start with the simplest possible case. Write down what Raman Parimala 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 Raman Parimala 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 Raman Parimala 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 Raman Parimala

In research: Raman Parimala 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 Raman Parimala 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: Raman Parimala is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1948 births, 20th-century Indian mathematicians, 20th-century Indian non-fiction writers, so understanding it makes those chapters shorter.
In everyday life: Look for Raman Parimala 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 Raman Parimala in 20 minutes

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

Frequently asked questions

What is Raman Parimala in simple terms?

Raman Parimala (born 21 November 1948) is an Indian mathematician known for her contributions to algebra. She is the Arts & Sciences Distinguished Professor of mathematics at Emory University.

Why does Raman Parimala 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 Raman Parimala?

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 Raman Parimala.