Is Hadwiger's conjecture true?

Is the Hodge conjecture true?

Is Schanuel's conjecture true?

Is the Hadamard conjecture true?

Conditional on Goldbach's conjecture being false, is Oldbach's conjecture true?

Is Goodman's Conjecture true?

Is Beal's conjecture true?

Is the Unique Games Conjecture true?

Is Rudin's conjecture true?

Is the strong Rudin's conjecture true?