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Zohran Mamdani’s parents, a filmmaker and a professor, gave him the foundation for his run for mayor of New York. But their own political views may open him up to attacks.When Zohran K. Mamdani took a commanding lead in the Democratic primary for mayor of New York City on Tuesday, his parents were just as surprised as the party’s establishment. Both are accustomed to the spotlight — his mother as an Oscar-nominated filmmaker and his father as a Columbia University professor. Neither expected to be this close to the halls of power.Mr. Mamdani, 33, has credited his parents with providing him a “privileged upbringing” that included constant discussion of politics and global affairs. But at a moment of intense political fights over conflict in the Middle East, his parents’ critical views of Israel and his father’s academic work on settler colonialism and human rights could make them a target of attacks from the right.The concept of settler colonialism has become especially fraught during the war in Gaza, as some supporters of Palestinians have applied the term to Israel, which some critics say is unfair.“We hadn’t bargained for being parents of a prospective mayor,” Mahmood Mamdani, 79, the candidate’s father and a renowned professor of international affairs and anthropology, said in the couple’s Manhattan apartment the morning after the primary.Mira Nair, 67, Mr. Mamdani’s mother, directed “Salaam Bombay!,” “Mississippi Masala” and “Monsoon Wedding,” among other films. Over the past year, in between filmmaking, she has canvassed for her son and cooked biryani and chicken for him and his campaign staffers. Both parents emphasized that their son, a democratic socialist who could become the city’s first Muslim mayor, has not turned to them for political advice. But they may now find themselves drawn into the campaign nonetheless.Zohran Mamdani with Ms. Nair at his primary night celebration. Former Gov. Andrew M. Cuomo, who had been leading in the polls, conceded the race as Mr. Mamdani stretched his lead in returns on Tuesday night.Shuran Huang for The New York TimesWe are having trouble retrieving the article content.Please enable JavaScript in your browser settings.Thank you for your patience while we verify access. If you are in Reader mode please exit and log into your Times account, or subscribe for all of The Times.Thank you for your patience while we verify access.Already a subscriber? Log in.Want all of The Times? Subscribe. More