[39] In July 2021, Nigam joined 900 individuals and groups condemning and calling for action against hate speech and misogyny directed at Muslim women online.
[42] In November, 2021, she joined over 200 eminent citizens, including professors, civil servants, journalists and prominent activists who wrote an open letter to the Chief Justice of India, to draw his attention to the pending status of key matters in Supreme Court, covering issues from sedition, farm laws, Citizenship Amendment Act, electoral bonds among others.
[43] In February 2022, she joined legal academics, lawyers, and students to write an open letter against the Karnataka High Court judgment that denied entry to young Muslim women wearing the hijab in the educational spaces.
[49] She also joined 1150 activists, lawyers, academics, and concerned citizens to condemn brutal police action against protesting women wrestlers who were demanding justice in the cases of sexual harassment against the chief of Wrestling Federation of India.
[50] In December 2023, she became a signatory to the International Convention Against War and Destructive Use of Science: Scientists Against Israel Apartheid, Occupation and Genocide in Gaza along with 500 scientists and academics from 40 countries[51] Nigam along with many other civil society activists and organizations also wrote an open letter to the Chief Justice of India on the suppression of free speech and action against peaceful protestors to stifle democratic dissent.
[56] Nigam brought a case to the Delhi High Court based on a violation of the right of her daughter to determine her name and identity.
[56] In its 17 May 2016 decision, the Court also stated, "This court also takes judicial notice of the fact that families of single parents are on the increase due to various reasons like unwed mothers, sex workers, surrogate mothers, rape survivors, children abandoned by father and also children born through IVF technology.
[60] In December 2016, the Ministry of External Affairs announced new passport rules based on the panel recommendations, including to allow only one parent to be listed in the application.