mathematics

Sucharit Sarkar

Sucharit Sarkar 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 Sucharit Sarkar rather than just read about it. In short: Sucharit Sarkar (born 1983) is an Indian topologist and professor of mathematics at the University of California, Los Angeles who works in low-dimensional topology. Education and career Sarkar attended secondary school at South Point High School in his hometown, Calcutta, India.

Key takeaways

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

Reference excerpt

Sucharit Sarkar (born 1983) is an Indian topologist and professor of mathematics at the University of California, Los Angeles who works in low-dimensional topology.

Education and career Sarkar attended secondary school at South Point High School in his hometown, Calcutta, India. In the International Mathematical Olympiads in 2001 and 2002, he received gold and silver medals respectively. He completed his Bachelor of Mathematics degree from the Indian Statistical Institute, Bangalore from 2002 to 2005. Sarkar received his Ph.D. from Princeton University in 2009 under the guidance of Zoltán Szabó. He went on to postdoctoral fellowships at the Mathematical Sciences Research Institute and Columbia University, before becoming an assistant professor at Princeton University in 2012. In 2016 he moved to the University of California, Los Angeles. Sarkar's research area is low-dimensional topology, with particular interests in knot theory, Heegaard Floer homology, and Khovanov homology.

Awards and honors Sarkar was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro in 2018. Sarkar was a Clay Research Fellow from 2009 until 2013.

References

External links Official website

Worked examples

Example 1 — a first encounter with Sucharit Sarkar

Start with the simplest possible case. Write down what Sucharit Sarkar 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 Sucharit Sarkar 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 Sucharit Sarkar 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 Sucharit Sarkar

In research: Sucharit Sarkar 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 Sucharit Sarkar 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: Sucharit Sarkar is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1983 births, 21st-century Indian mathematicians, American people of Bengali descent, so understanding it makes those chapters shorter.
In everyday life: Look for Sucharit Sarkar 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 Sucharit Sarkar in 20 minutes

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

Frequently asked questions

What is Sucharit Sarkar in simple terms?

Sucharit Sarkar (born 1983) is an Indian topologist and professor of mathematics at the University of California, Los Angeles who works in low-dimensional topology. Education and career Sarkar attended secondary school at South Point High School in his hometown, Calcutta, India.

Why does Sucharit Sarkar 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 Sucharit Sarkar?

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 Sucharit Sarkar.