His thumb found the spine of the textbook. One slow trace along the binding, from top to bottom, then a second, and then he caught himself doing it and stopped. The motion had been automatic, a nervous tic he thought he’d buried years ago. Now it was back, and she had probably seen it. He could feel her gaze on the side of his face, a warm pressure that made his skin prickle. He didn't turn. He stared at the cover of the textbook — Calculus: Early Transcendentals — as if the title held the secret to not being a disaster right now.
She looked away first. He knew because the pressure lessened, and he risked a glance sideways. Her head was down, dark hair falling forward, and she was digging in her backpack. A pencil case. She pulled it out and set it on the desk with the careful precision of someone trying not to make noise. The zipper rasped as she opened it. He watched her hand — slim fingers, silver stud earring catching the fluorescent light — select a mechanical pencil. Then she straightened, pushed a strand of hair behind her ear, and faced the front.
Professor Harmon was already talking. Something about derivatives and limits, the same opening lecture he gave every semester, delivered in the same monotone. Liam had heard it twice before — he was retaking this class after barely scraping a C last spring — and normally he’d be half-asleep by the first slide. Not today. Today every nerve in his body was tuned to the girl beside him. The way she tilted her head when she wrote. The way her lips moved silently as she copied notes. The faint scent of something floral — shampoo? lotion? — that drifted over every time she shifted in her seat.
He didn't know her name. That was the worst part. They'd been in the same class for two weeks and he'd never once heard anyone say it. He knew she was new — someone had mentioned a transfer from somewhere, maybe international — and she was quiet, always sitting in the back. But today the back had been full. She'd walked in late, done that quick scan of the room, and settled into the only empty seat: next to him.
His throat felt tight. He cleared it quietly, hoping the sound wouldn't carry. She didn't react. Her pencil moved steadily across the page, filling the margins with neat script. He tried to focus on his own notebook — he'd written today's date, a header that said "1.1," and nothing else. The page was still blank. He picked up his pen, pressed it to the paper, and drew a line. It came out wobbly. He drew another, darker, trying to anchor himself in the act of doing something, anything, besides staring at her.
Professor Harmon droned on. Liam heard the words — rate of change, secant line, limit approaching zero — but they didn't stick. They dissolved into the background hum like static while the foreground was all her: the small sound of her breath, the rustle of her sleeve against the desk, the way her foot tapped once, then went still. She bit her lower lip. He saw it from the corner of his eye and felt something twist in his chest.
He needed to say something. Anything. But what? "Hey" felt too sudden. "Nice weather" felt dumb. "Do you get this section?" — that could work. It was academic. Normal. He rehearsed it in his mind: Do you get this section? Casual. Neutral. Maybe a slight lean toward her, a friendly tone. He could do that. He was capable of speaking to another human being.
Then she turned. Not toward him — just shifted in her seat to adjust her posture — but her elbow brushed his on the armrest of the connected desks. A feather-light touch, fabric against fabric, but he felt it like a jolt. He went still. She didn't seem to notice. She settled, tucked her hair again, and kept writing.
His heart hammered. He could feel it in his ears. He cracked his knuckles — left hand, right hand, a quick succession of pops — and then immediately regretted it because she looked over. Her eyes met his. Dark brown, watchful, and he felt utterly exposed. He gave a quick nod, the same one he'd given when she sat down, trying to make it look casual. She nodded back, just as quick, then returned to her notes.
But she'd looked. She'd seen him. And for a second, the world had narrowed to just that — her eyes on his face. He wanted it to happen again. He was terrified of it happening again.
The scar above his eyebrow. He wondered if she'd noticed it. He wondered what she'd thought if she had. A bike accident when he was twelve, he'd tell her if she asked. He'd been racing Marcus down Maple Street and hit a patch of gravel. The scar was pale now, faded, but still visible. He was self-conscious about it, had been since middle school, but today he didn't care. If it made her look again, maybe that was worth it.
She didn't look again. She kept writing, her attention fixed on the board. Liam forced himself to look at the board too, to find something to anchor himself. Professor Harmon was drawing a graph, a parabola opening upward. He traced its shape with his eyes, trying to breathe evenly.
The silence between them stretched. Not uncomfortable — or maybe it was, but only for him. She seemed perfectly at ease, lost in the lecture the way he wished he could be. He watched her pencil move, curving in perfect incremental lines as she copied the graph. Her hand moved with the same careful precision she'd shown with the pencil case — every stroke intentional.
"—and if we apply the limit definition here, we find the slope of the tangent line at point P." Professor Harmon tapped the board with his marker. "Does anyone want to take a crack at the next example?"
A few hands went up. Liam wasn't one of them. He was too busy noticing that her hand had paused above her notebook when the professor asked the question, as if she were considering raising it. Then she lowered her hand and resumed writing. He wondered if she knew the answer. He wondered if she was shy, the same way he was — hiding everything behind a calm surface.
"That's fine. You can think about it. We'll work through it together." The professor turned back to the board and began to write.
Liam exhaled slowly. The tension in his shoulders had built into a knot. He rolled his neck, trying to loosen it, and in the motion, his eyes caught something: a strand of her hair had come loose from the tie. It rested against her cheek, a thin dark line against her honey-brown skin, and he had to physically stop his hand from reaching out to tuck it away. The impulse startled him. He gripped his pen tighter and looked back at his notebook.
The blank page stared back. He wrote "Tangent line" at the top and left it there.
Twenty minutes passed. Or maybe it was five. Time had become elastic, stretching and compressing in ways he couldn't track. Every small movement she made — shifting in her seat, tapping the edge of her ruler, clearing her throat once, softly — registered in his awareness like seismic events. He heard her stomach grumble, a faint sound, and felt a strange surge of tenderness at her being normal and human and hungry in the middle of a math lecture.
He looked at the clock on the wall. Forty minutes left. Forty minutes of this suspended, electric nearness. He didn't know if he was going to survive it.
She set down her pencil and rubbed her wrist. He watched the motion — right hand squeezing left wrist, a small rotation — and then her hand dropped to the side of her thigh. She wasn't writing anymore. She was just sitting, watching the board, her body still and alert.
He could feel her stillness beside him. It was a stillness full of presence, not absence — a stillness that made him aware of his own restlessness. He tapped his pen against the desk once, stopped. He shifted his weight in the chair. The cheap metal joints creaked. He winced.
She didn't react. But her foot, which had been still, tapped twice against the floor — a rhythm she might have been keeping in her head.
They were almost synced. He noticed.
Professor Harmon asked another question, this time directing it to the class at large. "What happens to the secant line as the second point approaches the first?"
He knew the answer. The tangent line. But his mouth wouldn't form the words. He waited, hoping someone else would speak. A kid in the front row answered — "The limit of the secant line is the tangent line" — and Harmon nodded and continued.
Beside him, she shifted her notebook to a fresh page. He caught a glimpse of her writing — the neat, slightly slanted letters — before she turned it away.
Thirty minutes left.
He thought about what he'd do when class ended. He could pack up slowly, pretend to be finishing a note, and maybe say something as they stood. "Hey, I'm Liam" — that was normal, right? Or "Nice to meet you" — but they'd already been in the same class for two weeks, so that might sound weird. "See you next class" — too forward? Too familiar? He didn't know.
His hands were sweating. He wiped them on his jeans, a discreet motion, and tried to compose a sentence in his head. Three words. Four. Something that didn't sound rehearsed.
She reached for her water bottle — one of those aluminum ones, a faded blue sticker on the side — and took a sip. He watched her throat move as she swallowed, and then he forced himself to look away, at the window, at the gray January sky. Anywhere but her.
The windowpane was streaked with condensation. Outside, bare branches of a maple tree swayed in the wind. He focused on their motion, trying to let the rhythm of it slow his pulse.
It didn't work.
She set the bottle down. Her hand landed on the desk, inches from his. He could reach out and touch her with a single finger. The thought ignited something hot and panicked in his chest. He didn't move.
The professor began assigning problems for the rest of the period. "Work in pairs or groups of three. If you need help, raise your hand. I want to see progress on at least the first three problems by the end of class."
Pairs. That meant he could turn to her — had an excuse to turn to her — and ask if she wanted to work together. The opportunity was there, crystalline and obvious. He could feel it pulsing in the air between them.
But his throat locked. His voice refused.
She turned to him first.
"Do you want to work together?" Her voice was soft, tentative, with a slight accent he hadn't noticed before — a rounding of vowels, a carefulness in the consonants. It made her sound hesitant, as if she were testing the words in a language she wasn't sure of.
He nodded before he could think. "Yeah. Sure." His own voice came out rough, and he cleared his throat. "I mean. If you want."
She nodded back, a small smile flickering at the corner of her mouth. "Okay."
She rotated her notebook so it faced him slightly. Pointed to the first problem with the tip of her pencil.
"I got stuck on this one. The limit set-up."
He looked at the problem — a standard derivative calculation involving absolute value — and felt a wave of relief at having something concrete to do. "Oh, you need to split it into left-hand and right-hand limits first. Because of the absolute value." He picked up his pen and sketched the piecewise definition on the corner of his notebook.
She leaned closer to see. Her shoulder brushed his arm again, and this time she noticed it — she glanced down at where they touched, then up at him, and he saw a blush spread across her cheeks.
"Sorry," she murmured, pulling back slightly.
"No, it's — it's fine." He said it too quickly, too earnestly. "Here." He pointed at his notebook, trying to redirect her attention. "If you treat it as two separate functions, you can take each limit individually."
She looked at the notebook. Her brow furrowed in thought. "Right. That makes sense." She wrote something down in her own notebook, then looked back at him. "Thank you."
"No problem."
A silence settled between them, softer than the earlier one. She continued writing, and he watched her hand move across the page, the curve of her fingers, the way she pressed down hard on the pencil to make the lines bold. He noticed a small scar on her index finger, pale and thin, and wondered if she'd gotten it in another country, another life, before she'd come here.
He didn't ask.
Instead, he turned back to his own paper and started on the second problem. But his attention kept drifting to her, to the quiet rhythm of her breath, to the way she bit her lip when she was thinking. She did that a lot. He'd noticed it on the first day of class, when he'd seen her sitting alone in the back. Now that she was this close, he could see the tiny indent her teeth made in her lower lip, the slight gloss of moisture where she'd bitten.
He was staring. He forced himself to look at his work.
Thirty minutes left. Then ten. Then the professor was calling for everyone's attention, giving out the reading assignment, and the classroom was stirring with the sound of backpacks being zipped, chairs scraping, voices rising.
He hadn't said her name. He still didn't know it.
She was packing up, sliding her notebook into her bag, zipping the pencil case with that same careful motion. He was packing too, but slower, trying to stall.
She stood up. He stood up at the same time, their movements synchronized in a way that felt accidental and intentional all at once.
"I'm Liam," he said.
She looked at him, startled. Then her expression softened into something shy and pleased.
"Sofia."
He nodded, a bob of his head that felt ridiculous. "Nice to meet you. Properly, I mean."
"Yeah." She shifted the strap of her backpack on her shoulder. "You too."
She turned and walked toward the door. He watched her go, dark hair swinging, the curve of her shoulders as she stepped into the hallway and disappeared among the other students.
He stood there a beat too long, textbooks still in his hand, the faint scent of her shampoo lingering in the air.
Then he cracked his knuckles, one by one, and headed for his next class.