Whitney lifts the marker again. She turns slightly so the camera can see her face. She’s not nervous. She’s not angry. Her expression is the expression of a person who has been waiting a very very long time to be in this exact place. “Professor Ashford,” she says, “I want to be clear about something. I’m not going to claim what I’m about to do is original. The substitution I’m going to use was first sketched in a Russian paper in 1962. The contour deformation I’ll apply is in any complex analysis textbook. The residue calculation is freshman. None of this is hard.”
She finally turns to look at him. “What’s hard,” she says, “is being willing to look at line three.” The room exhales. It actually exhales. You can hear it. Eleanor Vance on the panel has not stopped staring at the board. She is doing the math herself. Her lips are moving. Henrik Sandberg has set his pen down on his notebook because his hand is shaking too hard to write. Ashford’s smile has now flattened completely. It’s still on his face, but it’s not really there. “Solve it,” he says. His voice has lost something. The cheerful bully tone is gone. What’s left underneath sounds smaller. “Solve it, Ms. Brooks. Don’t give me a lecture on humility. Solve the integral.” Whitney nods once.
She turns back to the board. The stopwatch reads 1:32. She lifts the marker. What kind of mind sees a 30-year-old professor’s life’s work in 15 seconds, finds the crack, and decides to walk through it? Whitney begins to write. Fast. Clean. No hesitation. Her handwriting is small and tight. The way you write when you’ve spent 10 years writing in supply closet folders by yourself. But it’s perfectly legible and it’s perfectly aligned. And the marks she’s making on the board are not the marks of someone improvising. They are the marks of someone executing a plan she’s already finished in her head.
She rewrites the integrand using a polar transformation. Henrik Sandberg leans forward so far, he’s almost out of his chair. He whispers, she’s going to use symmetry. She’s going to use symmetry. Ashford steps in. Hold on. Hold on, Ms. Brooks. That substitution doesn’t preserve the boundary. He’s right. Technically. By his definition. The room tenses. The stopwatch reads 1:08.