[2] Pourkashiyan won the World Youth Chess Championship of 2000 in the Girls U12 category.

In April 2010, Pourkashiyan won the Asian Women's Chess Championship in Subic Bay.

[6] Pourkashiyan married American grandmaster and five-time US Champion Hikaru Nakamura in 2023.

[7] She was in the news alongside Sarasadat Khademalsharieh when she competed at the World Rapid and Blitz Championship 2022, without a hijab, amidst the Mahsa Amini protests.

[8] In December 2022, she changed her federation from Iran to the United States, where she currently resides.