They already had a vote on this and the pro-union side won. Challenging the results will not end well.

The Columbia Spectator reports:

University objects to unionization vote, calls for new election

The University has filed an objection with the National Labor Relations Board regarding the vote by teaching and research assistants to unionize, and is now asking that the NLRB set aside the election’s results and hold a new election.

Students voted 1602 to 623 in favor of joining Graduate Workers of Columbia-United Auto Workers two weeks ago. The election followed two years of campaigning by graduate students, after which the NLRB—a five-person governing body in Washington—gave graduate students at private universities the right to unionize in August.

The University’s objections were based on conduct that occurred on the days of the election, alleging that GWC-UAW agents were stationed within 100 feet of polling places, unfairly surveilled voters leaving the polling place in Earl Hall, and “improperly coerced a substantial portion of eligible voters,” according to the statement of objection filed with the NLRB.