mathematics

T. N. Venkataramana

T. N. Venkataramana 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 T. N. Venkataramana rather than just read about it. In short: Tyakal Nanjundiah Venkataramana (born 1958) is an Indian mathematician who specialises in algebraic groups and automorphic forms. He was awarded the Shanti Swarup Bhatnagar Prize for Science and Technology in 2001, the highest science award in India, in the mathematical sciences category.

Key takeaways

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

Reference excerpt

Tyakal Nanjundiah Venkataramana (born 1958) is an Indian mathematician who specialises in algebraic groups and automorphic forms. He was awarded the Shanti Swarup Bhatnagar Prize for Science and Technology in 2001, the highest science award in India, in the mathematical sciences category. Venkataramana's first major work was the extension of G. A. Margulis's work on arithmeticity of higher rank lattices to the case of groups in positive characteristics. He also has contributions to non-vanishing theorems on cohomology of arithmetic groups, to Lefschetz type theorems on restriction of cohomology on locally symmetric spaces and to arithmeticity of monodromy groups.

Other awards/honours Young Scientist Award (1990) Birla Award (2000) ICTP Prize (2000) Fellow, Indian Academy of Sciences, Bangalore Fellow, Indian National Science Academy, 2004 Fellow of the American Mathematical Society, 2012 Speaker at the ARbeitstagung, 1999 Invited Speaker at the ICM, 2010, Hyderabad

References

Illustrations

Worked examples

Example 1 — a first encounter with T. N. Venkataramana

Start with the simplest possible case. Write down what T. N. Venkataramana 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 T. N. Venkataramana 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 T. N. Venkataramana 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 T. N. Venkataramana

In research: T. N. Venkataramana 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 T. N. Venkataramana 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: T. N. Venkataramana is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1958 births, 20th-century Indian mathematicians, Academic staff of Tata Institute of Fundamental Research, so understanding it makes those chapters shorter.
In everyday life: Look for T. N. Venkataramana 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 T. N. Venkataramana in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what T. N. Venkataramana 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 T. N. Venkataramana out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is T. N. Venkataramana in simple terms?

Why does T. N. Venkataramana 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 T. N. Venkataramana?

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 T. N. Venkataramana.