Unsolvable equation

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Reid's fingers glided gingerly over his book, turning pages with feverish speed. He turned to a notepad resting against a pillow of the couch, and jotted down a note in his scrawly, curved handwriting. 

"4x - t" he murmured under his breath. "t is equivalent to-"

He sighed, frustrated, and flipped to the next page. He reached for his notepad again, and this time put it on his lap, in place of where the book was, so he could write easier. 

Morgan stood in the doorway to the living room, watching Spencer work. It drove him crazy, the way he bit his lip, and smoothed his hair behind his ears. And the way he twiddled his pencil with his fingers, or with his teeth, when he was on the verge of having something worth writing down. 

Morgan shook his head, smiling. Unable to contain himself any longer, he sauntered up to the couch and hopped over the back, landing right next to Reid.

"What are you working on?" He asked.

Reid glanced at him, mid-writing-something-down, and finished his note before answering.

"Bombreiri-Lang conjecture." He murmured, like Morgan would know exactly what he was talking about.

"What's that?"

"It's an unsolved equation."

"What's the-"

Spencer held up a long, bony finger. "Hold on." 

Derek held on for thirty two minutes, while Reid took notes, and read, and murmured numbers to himself. 

"Kid."

"Oh, you're still here." He glanced at Morgan again, and then set down his pencil. "S-sorry, I didn't mean to ignore you, I was just-"

"In the zone, I know Spence."

Spencer's cheeks flushed at the nickname, and he tried to contain a smile.

"I, uh, I was working on the Bombrieri-Lang conjecture, which is the theory that if X is an algebraic variety to a certain type-defined over number field K, then the K-rational points of X do not form a dense set in the Zariski topology." Morgan nodded, trying to follow, but he was lost.

"I thought this was math, why are you talking about letters?" Morgan teased.

"What? Letters are just substitutes for numbers, it's like-" Spencer looked absolutely horrified, and Morgan chuckled.

"Pretty boy, I'm just kidding."  Spencer realized, and nodded, smiling slightly. "You think I didn't pass the eighth grade or something?"

"N-no, I didn't think that."

"You shoulda seen your face, you looked like you'd just seen a ghost."

"I thought you were serious."

They smiled at each other for a second, before Morgan jumped in.

"So, how many unsolvable equations has my boy solved?"

Spencer's cheeks blossomed with blush, and his smile couldn't be contained when Morgan called him "my boy."

"I, uh, I-I-" he was still trying to recover. "I've, uh, I've solved two. They take me weeks. Also, they're not technically unsolvable, they're just unsolved or unproven."

"Are you close on this one?"

"No, I just started working on it today."

Morgan chuckled, shaking his head. Spencer turned back to his work, rolling his lip in his teeth as he fell back into concentration. 

"Reid, if you bite your lip like that one more time, I swear, I'm gonna..."

Morgan leaned over and kissed him, grabbing his face in his hands. Reid gasped with surprise, before melting into it, his arms hanging limp at his sides. 

It was Spencer who pulled apart, in a need to breathe again, and Morgan smirked his signature smirk.

"You're so pretty, baby."

That put Reid over the edge. If he was a blushing mess before, you should see him now. Morgan loved how easy it was to fluster him.

"Th-thanks, I, uh, y-you, you too." He said. 

"Can you cuddle with me and work, or am I too distracting?"

Reid shook his head frantically. "No, we can- I can- yeah, that's fine."

Morgan smiled, and laid down on the couch, then pulled Reid between his legs, his back against Morgan's sturdy chest. Spencer reached for his papers and book, and put them both on his lap, while Morgan rested his head on Spencer's shoulder, watching his long, nimble fingers as they worked. 

"Morgan I have a theory, tell me if this makes sense." Spencer said, flipping a few pages back in his notes. "I was looking for polynomials of two variables with rational coefficients, and-"

"Woah, slow down, what's a polynomad and a cofishent?" 

Reid sighed. "Never mind. Is it okay if I just think out loud?"

Morgan nodded, and put his head on Reid's shoulder again.

"If you work with the conjectures in Diophantine Geometry, it is possible to exhibit two polynomials, which create the equation QxQ=Q, but I've already proved Sq-67y (x,y,z) Ea^3 = (P (x,y) = Q (z,b) ) ^4, so if I put the polynomials into the equation, it would have to be balanced, which..."

Reid scrawled onto his paper for a mere seventeen seconds, before setting his pencil down and grabbing his math book.

"It is balanced, so if the polynomials and the equation are true, then the conjecture is almost half proven!" He said with triumph.

"Half proven?!" Morgan said. "Kid, I don't know how you do this stuff, especially on your time off." 

Reid shook his head. "It's just algebra."

Morgan decided not to argue. "Alright, whatever you say, pretty boy."

Reid continued to think out loud. "There are plenty of arbitrary polynomials, sets of F and G, which don't affect the equation at all, so I think I can just scrap these... But that hypothesis contradicts the fact that P is bijective, since the rational point of (x,y) is outside the curve, and set P: -(x,y). So that violates the conjecture of- ah-"

Reid was cut off by Morgan's lips grazing the skin of his neck. The red in his cheeks that had pretty much faded creeped up again, while Morgan started to pepper his neck with soft, deep kisses. "D-Derek-" 

"Hmm?" Derek hummed, moving to suck on the space under Spencer's ear, and his earlobe, knowing that drove his boy absolutely mad.

Spencer closed his eyes, and dropped his pencil.

"I, uh, I can't-" 

Morgan moved Spencer's long hair out of the way, to gain better access to Spencer's sensitive spot.

Spencer moaned, but he tried to hide it, making it soft, breathy, and shaky. Morgan pretended not to notice, he knew how much Reid hated it when he pointed that stuff out, and just continued to kiss him.

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⏰ Last updated: Mar 07, 2021 ⏰

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