Q. Consider the following statements about Zariski cancellation problem:
1. It is one of the world’s greatest physics problems.
2. Professor Neena Gupta has been awarded Ramanujan Prize for solving the Zariski cancellation problem.
Which of the statements given above is/are correct?

[A] 1 only

[B] 2 only

[C] Both 1 and 2

[D] Neither 1 nor 2

Answer: B
Notes:

About the Zariski cancellation problem:

  • It is one of the world’s greatest math problems. It is a fundamental problem in Algebraic Geometry.
  • The problem was posed by one of the most eminent founders of modern Algebraic Geometry, Oscar Zariski, in 1949.

What is the problem? “

  • The cancellation problem asks that if one have cylinders over two geometric structures, and that have similar forms, can one conclude that the original base structures have similar forms?”
  • Neena Gupta solved this problem which is considered as one of the best works in algebraic geometry in recent years done anywhere.

About Ramanujan Prize for Young Mathematicians: It is awarded annually to young mathematicians from developing countries since 2005.

Who is the prize awarded to? The prize is given to an eminent Mathematician who is less than 45 years of age on 31 December of the year of the award and has conducted outstanding research in developing countries

Administered by: The Prize is administered by the Abdus Salam International Centre for Theoretical Physics (ICTP) jointly with the Department of Science and Technology (DST) Government of India and the International Mathematical Union (IMU).

Sponsored by: Department of Science and Technology, Government of India (DST).

ICTP: It was founded in 1964 by the late Nobel Laureate Abdus Salam. It seeks to accomplish its mandate by providing scientists from developing countries with the continuing education and skills that they need to enjoy long and productive careers.

IMU: It is an international non-governmental and non-profit scientific organization with the purpose of promoting international cooperation in mathematics.

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