Page 24 of Proof By Contradiction
He looks at the pages I’ve put on the desk—my handwriting is messier than usual, a few wrong turns included for verisimilitude. He picks them up, studies them, fingers at the paper’s edges, and I think about those fingers.
‘Where specifically?’ He’s already scanning.
‘Integration by parts. Can’t see where to start.’
This is a lie so large it should have its own postcode. I see where to start. I see where to finish. Three routes between the two and a shortcut that eliminates all of them. The lie puts me in this chair. In this room. In the radius of those hands.
He explains. I listen. I nod at the right moments and furrow my brow at the wrong ones, and the whole time I’m cataloguing:how he leans forward when he’s demonstrating, the softening that only comes when he forgets to maintain the register.
I breathe shallow, and the proximity does what proximity does. Blood relocates. I shift in the chair.
Twenty minutes in. He’s warming up. The teaching voice has relaxed, the edge of performance dropping as the subject takes over.
I lean in to look at the work. Close enough that he registers it. He doesn’t pull back. But his pen stops mid-stroke, for a skip, then continues. Good. He noticed.
I run the next provocation lower on the scale. A question about when the approximation breaks down—phrased in terms that bring me half a word closer tolimit from aboveandlimit from belowthan strict politeness would allow. He doesn’t react.
I shift in the chair. The knee moves an inch closer to his. Not touching. An inch away. Inside the radius where his body has to register mine as something it’s adjacent to. I watch the tendon on the side of his neck do the thing it did on Friday in the theatre. One swallow. Disciplined. Visible from nine inches.
Thirty minutes. He sets a real problem. One that matters, watches while I work. I mess up line three. He corrects it. Our hands are both on the paper.
I leave my hand there a beat longer than the correction requires. Not a grab, not a grope—just a hand on a piece of A4 inside the field of his. The pad of my thumb is half a centimetre from the cuff of his shirt. The sleeve is folded one fold today. Good mood. I file that and keep working.
I solve the rest. Showing my work, being good.
Forty minutes. He’s explaining a concept I already understand—continuity, limits, the behaviour of functions at infinity—and I’m about to nod again when I clock it. The second problem, half-visible under his notes, was the one behind theone he set. Harder. Nothing on any Economics problem set looks like this.
The smart move is staying quiet.
‘Have you tried it this way?’
The words come out before the strategy catches up. I pull the paper towards me, pick up his pen, and write two lines. A substitution he hasn’t used. A collapse that turns six steps into two. I see it instantly, the path already there.
I put the pen down. Look up.
He’s staring at me. At me.
The mask is gone. What’s underneath isn’t suspicion or the guarded blankness of a man protecting his career. It’s?—
It’s a look I have no name for. I’ve seen want before, the glazed half-focus of someone undressing me in their head. This isn’t that. This is sharper, hungrier. The look of a man who’s found something he wasn’t looking for and can’t look away.
‘How did you see that?’ Almost to himself.
I shrug. ‘It’s obvious, isn’t it?’
It’s not. Haldrey knows it’s not. The space between what I said and what we both know is a live thing.
He blinks, the mask comes back. Slower. Like pulling on a coat when you know it doesn’t fit anymore.
‘That’s not a standard approach.’
‘Is it wrong?’
‘No.’ He looks at the two lines again. ‘It’s right.Elegant.’
Elegant.
From someone who published in the Annals of Mathematics before thirty. Aimed at me.
