Washington: Nikhil Srivastava, a young Indian mathematician, has been named winner of the prestigious 2021 Michael and Sheila Held Prize along with two others for solving long-standing questions on the Kadison-Singer problem and on Ramanujan graphs.

Srivastava from the University of California, Berkeley, Adam Marcus, the Ecole polytechnique federale de Lausanne (EPFL) and Daniel Alan Spielman from Yale University will receive the 2021 Michael and Sheila Held Prize, the National Academy of Sciences said in the statement.

The prize consists of a medal and USD 100,000.

Srivastava, Marcus and Spielman solved long-standing questions on the Kadison-Singer problem and on Ramanujan graphs, and in the process uncovered a deep new connection between linear algebra, geometry of polynomials, and graph theory that has inspired the next generation of theoretical computer scientists, it said.

They published new constructions of Ramanujan graphs, that describe sparse, but highly-connected networks, and a solution to what is known as the Kadison-Singer problem, a decades-old problem that asks whether unique information can be gleaned from a system in which only some of the features can be observed or measured, according to the Yale news.

Srivastava is currently Associate Professor of Mathematics at the University of California.

Their groundbreaking papers on the questions, both published in 2015, solved problems that mathematicians had been working on for several decades, the National Academy of Sciences said.

Their proofs provided new tools to address numerous other problems, which have been embraced by other computer scientists seeking to apply the geometry of polynomials to solve discrete optimisation problems, the academy said.

The Michael and Sheila Held Prize is presented annually and honours outstanding, innovative, creative, and influential research in the areas of combinatorial and discrete optimisation, or related parts of computer science, such as the design and analysis of algorithms and complexity theory.

The prize was established in 2017 by the bequest of Michael And Sheila Held.

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Chandigarh (PTI): It is the willingness and consent of a married woman that is all that matters, the Punjab and Haryana High Court has observed, while allowing a petitioner to undergo abortion without her husband's consent.

The direction came on a plea moved by the 21-year-old petitioner from Punjab, seeking permission to terminate her pregnancy in its second trimester.

The petitioner had submitted that she got married on May 2, 2025 and had a turbulent relationship with her husband.

In the previous hearing, the court had issued directions to the Post Graduate Institute of Medical Education and Research (PGIMER) to constitute a medical board to examine the petitioner.

According to the medical report, the woman was medically fit to undergo MTP (medical termination of pregnancy).

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According to the December 23 report, there is a single live intra-uterine foetus with a gestational age of 16 weeks and a day, with no congenital malformation.

"Patient has symptoms of depression and anxiety for the last six months, (and) has been undergoing treatment with minimal improvement. She is severely distressed about her pregnancy amidst divorce proceedings. It is recommended that she continues to undergo her psychiatric treatment and counselling. She is psychologically fit to consent," the report of the medical board said.

A bench of justice Suvir Sehgal said it is evident from the report that according to experts, the petitioner is in a fit medical condition for the termination of her pregnancy.

The sole question that requires to be considered is whether her estranged husband's consent is required before such termination, the court observed.

The Medical Termination of Pregnancy Act, 1971, does not provide for an express or implied consent of the husband, it pointed out.

"A married lady is the best judge to evaluate as to whether she intends to continue with pregnancy or get it aborted. Her willingness and consent is all that matters," the court noted.

It said according to the medical report, the gestation period of a foetus is less than 20 weeks and falls within the maximum period prescribed under the Act.

"This court, therefore, does not find any obstacle in permitting the petitioner to undergo abortion. In view of the above, it is directed that petitioner is eligible to get the pregnancy terminated from respondent No.2 -- PGIMER -- or any other authorised hospital," the order passed on December 24 said.

"Let the petitioner, within the next one week, get the medical termination of pregnancy from PGIMER, Chandigarh, or any other authorised hospital, which must take due care and precaution while conducting the procedure," the court added while disposing of the plea.