The months flew by for Izuku and he steadily began to improve his magecraft, but his studies truly picked up once he learned Thought Acceleration and Memory Partition, however, he did have a bit of difficulty learning them initially.
[ Izuku sat at his desk reviewing the process of performing Thought Acceleration and after some deliberation began the spell. A moment passed and he didn't feel any different and his thoughts seemed to appear at the same rate. Did he mess up the spell then, he went to review the process once more and then realized his arms wouldn't move. He began to freak out internally as his body wouldn't respond to his commands.
Izuku appeared to be sitting at his desk with a thousand-yard stare just looking at nothing, a bit of drool escaped his mouth. He sat like this for an hour trapped in his own body but to his good fortune, his mom came in to tell him dinner was ready and noticed his state.
"Izuku are you all right."
She then looked on his desk and saw a note.
"Mom if you see this and I don't respond to anything just nudge me and it should knock me out of the trance."
She nodded and then proceeded to bop her son on the head who then immediately let out a sigh of relief.
"Thanks, mom, I kind of messed up," Izuku said as he massaged his now aching head.
"Izuku, be careful when you practice your magic stuff, I won't always be here to knock some sense into you," She said with a concerned look.
Izuku let out a nervous laugh, "I'll try my best."]
He eventually did get it down with no repeats of the first incident thankfully, he did, however, zone out more often lost in thought and Kacchan complained that his mumbling was even faster than before, overall acceptable side effects. He ironed out the kinks after about a month and so began to set up Memory Partition to take full advantage of his accelerated thought. He was more meticulous this time around with no overt slip-ups, but it did take a bit to get used to.
[ Izuku once again sat at his desk with his book open reviewing a spell that affected his mind, this time however he was better prepared and had double, triple, and quadruple checked the process. Memory Partition greatly appealed to him for multiple reasons one such was a way to filter out his supercharged thought process by breaking it up into different independent trains of thought. He may have also considered it so he can talk without mumbling out his every thought, so instead of potentially blurting out his magecraft research it would be completely confined to his mind (hopefully).
After half an hour had passed Izuku felt the spell take hold and winced as his head began to ache, he hoped it worked this time. 'Did it work, I should get some pain killers, I better check the book again,' He paused at that ' Ha success, it worked.' He winced as his head ached, better get the painkillers then.
He went to grab a glass of water and bumped into his mom.
"Oh, hello Izuku do you need me to bop you again," she asked looking at him closely.
"No, I should be good, I'm fine mom," is what he wanted to say but what came out was a garbled amalgamation of his two trains of thought. He blinked, "Ah AH," he said clearly both partitions working as one for a second.
His mom looked at him with narrowed eyes and he quickly said, "Don't worry I can fix it, it's alright mom I got it," Once again his statement was a garbled mess, he then began to laugh nervously as his mother loomed over him hand raised in the air.
Izuku rubbed his head as he waited for the painkillers to kick in, not for the ache his spell had done, but for the chop he had received from his mom that somehow knocked something into place so he could speak normally again.]
It had taken a few weeks to perfect memory partition and in the meantime, he decided against adding any more partitions until he got the hang of having the two separate trains of thought. He did have to deal with people making fun of his occasional garbled speech when he lost focus, but it was nothing new just another thing for people to talk about behind his back. He however did notice that Kacchan appeared irritated whenever they made fun of him being quirkless, and it was then he realized he hadn't notified the school he now had a 'quirk'.
Kacchan had questioned him about it one day while they ate lunch, "Oi, Deku why haven't you told the extras about your quirk, you just going to let them continue to walk all over you."
Izuku set down his chopsticks and let out a sigh, he looked up and replied, "Honestly, I don't really care what they think at this point, even if they did a 180 and tried to be friends I still wouldn't tell them." He took a drink of his tea and muttered out, "It's not like they would be real friends anyway." At that Kacchan twitched and his scowl deepened, and he nodded slightly in agreement.
They both knew the only people they could consider actual friends were each other, even if Katsuki vehemently refused to acknowledge it. Katsuki knew his 'friends' were just people sucking up to him so they can reap the benefits one day and the only friend he actually had was Deku even if he had treated him horribly beforehand due to his previous FEAR.
After that, they continued their lunch in silence.
The rate at which Izuku learned his magecraft picked up significantly and he felt confident enough to start a small project, he planned to replicate the healing array he picked up from the hot springs at his grandparent's house. Over the course of two months, he picked apart the array and made adjustments so he could use it on their bathtub. First, he adjusted the part that drew magical energy from the nearby leylines, given that the nearest leyline is quite far from the house he found another method of powering the circle using gems and while he would have to charge up the quartz every few uses it was better than nothing. He honestly flipped out a bit when rummaging through the trunk for reference material about a month ago, he had discovered a sack full of various jewels that he then showed to his mom who proceeds to give them a wide-eyed look stating that they were very high quality and expensive cuts. After that incident, he decided to invest some of his study time in jewel magecraft and he was glad he did as it solved his power problem for the array.
The second problem was that the array was designed to take advantage and multiply the healing power of hot springs, so he studied up on what made hot springs do what they do. By the end of his study session he had a small shopping list of the required materials.
It took a few weeks, but he did it. Izuku stared at the adjusted circle now etched into the bottom of the tub in pride and went to test it.
First, he started the bath, a nice hot temperature so the minerals would dissolve nicely.
Second, he grabbed the container holding a various mix of minerals that have been charged with magical energy and dropped a scoop into the bath.
The bath briefly glowed green.
Lastly, he grabbed a decently sized clear quartz crystal that glowed internally with a faint green light and laid it against a smaller circle that resided on the edge of the tub. With that, green lines stretched from the smaller circle and connected to the main circle making it glow gently.
Izuku watched as the main circle pulsed every once in awhile releasing healing energies into the water and smiled.
Izuku then called to his mom that arrived in the bathroom and then looked at the glowing tub, "Izuku, why is the bathtub glowing."
"Oh, I made it act like the hot springs back in Fuyuki, now it can soothe aches and pains and speed up recovery," Izuku explained happily.
Her eyes gained a sharp glint and her smile had a bit too many teeth, "Oh, just like back in Fuyuki huh, just in time too."
"In time for what," He asked nervously.
Her expression returned to its usual calm and she replied, "Oh, don't worry about it I'll tell you soon," she then leaned over the tub observing the gentle glow, "So how does it work Izuku."
Izuku perked up and began to explain how to operate the new and improved bathtub and showing her where the mineral mix and spare quartz was kept. After his mom left, he decided to test out the bath and took a dip. He let out a content sigh as he felt his muscles loosen and relax. If he compares it to the actual hot springs, he would say it's about a fourth as effective which isn't that back all considering his limited resources. He leaves the bath refreshed and heads to his room to begin studying more magecraft.
Izuku was a bit giddy as he decided to reward himself for completing his project by starting his studies on runes. He still remembered the flashing script that appeared on his mom's coat and about how much punishment it could take given the memories he retrieved from Tora and was excited about potentially creating something like that. He grabbed the book from the trunk and looked at the cover.
'Rune Magecraft Primer' by Bazett Fraga McRemitz
He flipped it open and noticed there was a note on the first page.
If you are reading this, I hope you appreciate it and know the only reason I am agreeing to write this is that these two idiots have saved my ass time and time again. A favor is a favor, so this book here will be a primer on how to use Rune Magecraft so don't go expecting any family secrets.
Izuku then began to read the book with it describing the origins of runes and the type most used in the modern era even including that they are generally unpopular for some reason.
After reading for the better part of the night Izuku decided he liked runes a lot, they had everything you wanted in a power. From combat to healing, defense, and quality of life capabilities. Izuku initially didn't understand why runes were looked upon unfavorably but as he continued to read the primer for them, he connected the dots on why. They were useful for everything except research, to his understanding the average magus is a researcher first and foremost and will fall back on their family's craft for their needs, so they would have no need to study something that wouldn't help on their path to the Root. Izuku, on the other hand, cared not for the Root he just wanted to help people and if runes helped him on his path then he will learn them.
Runes were simple and complex at the same time and rely heavily on intent for example the rune I: Isa at its base can create ice but with the correct intent and power can be used to slow or stagnate time. There are many ways to use runes and it was vital to understand the meaning of every single one if one wanted to truly master their usage and Izuku felt determined to do so. Plus, the idea of throwing around the elements would satisfy his childhood dreams.
It was a week later when his mom told him to be ready to go out after school but for what she didn't specify. So here he was sitting in the living room playing with Yatta while he waited by throwing some berries in the air for him to catch. The bird certainly grew since they brought him home and not just in size but in intelligence.
"Again, again little green," Yatta squawked.
He knew an animal having a quirk made it more intelligent but add that to the already high intelligence of crows and well you get one smart bird. Izuku threw another berry and watched as Yatta swooped from his perch to nab it midair. Izuku was still surprised at how fast Yatta picked up speaking even if it was rudimentary.
Their fun came to an end when his mom walked into the living room in her tracksuit with Tora's carrying bag strapped to her back.
"Alright, let's get going."
And so, the Midoriya family made their way out into the city enjoying the crisp chilly air of December. They arrive at their destination after a short ten-minute walk and Izuku takes note of how familiar it is, 'This is where Kacchan liked to take us for adventures… and where he yelled at me for trying to help him.'
Izuku notes that the fence is new and various signs declaring it private property are scattered throughout the length of the fence. He remembered that it was rather run-down before maybe they fixed it then. He then saw his mom move towards the gate and shouted out, "Wait mom this is private property we can't go in there."
"Oh, we better well be allowed in here since it's my property," She said as she retrieved a key from her pocket and unlocked the gate.
"EHH! since when," He shouted in surprise.
She motioned for him to follow her through the gate and said, "Since about two months ago, I bought it and had it renovated so we can use it for training, and since you enchanted the bathtub that means we can train even more."
Izuku laughed nervously at how giddy she seemed at the prospect of training, don't get him wrong he liked training with his mom, but she can get a bit intense at best and bloodthirsty at worst. Izuku shivered as he remembered his moms' summer boot camp so much pain and soreness. He honestly wouldn't have survived if it wasn't for the hot springs patching him up day after day and now, he signed his own death warrant by enchanting the bathtub.
Izuku followed his mother in and asked a question that was bothering him, "Mom you said you bought this place right as in this entire section of the forest."
She nodded and he continued, "How… I didn't think we had that kind of money; I mean we live in an apartment, so I assumed we are doing alright but not good enough to buy a plot of land like this!"
She paused and looked at him for a moment and said, "Izuku, you do remember we are a Yakuza family right, and not an ordinary one an old one that has survived and prospered in the age of quirks and Hero's," She smirked at him, "And besides how do you think we can afford all your limited edition All Might merchandise."
He flushed at that, "So mom how rich are we," he asked in curiosity.
Her smirk now had a hint of mischief, "Oh… we may or may not own Kyushu."
"The Island!" He shouted.
"Well we did at one point, but we gave most of it back to the government, we do however own a majority of the land in the Oita and Kumamoto Prefectures," She said casually as if a single-family owning a third of one of Japans islands was normal.
"Oh, Izuku don't worry the most the Fujimura family gets up to is keeping the peace, that's actually how we ended up owning Kyushu in the first place," She said placating her son, "When quirks first came around it was wild, crime and lawlessness were rampant and the Fujimura family stepped up and began to take territory to instill some semblance of normalcy and ended up taking control of the entirety of Kyushu on accident."
Izuku listened with rapt attention on how his family had apparently taken control of one of Japan's islands on accident and was wondering how he never heard about it before, "probably because the government covered it up," the conspiracy nut in him thought.
They arrive in a clearing and his mom tells him to get ready for a little exercise which for her means training till he can't move. He sighs in acceptance and takes off his sweater and begins stretching along with his mother.
His mom throws him a shinai she retrieved from the small shed sequestered at the edge of the clearing, "All right Izuku let's continue with your kendo lessons and when you get good enough, we will start with kenjutsu."
Izuku raises an eyebrow in confusion, "There's a difference."
She nods, "Kendo is more of a sport and can be used in live combat but Kenjutsu generally refers to various sword styles developed for combat."
They begin going through the kata and Izuku asks, "So why practice kendo then."
"Kendo is a good basis to branch out from." She breaths out after swinging Tora.
They continue like this for an hour and then move on to sparring.
Inko wipes some sweat from her brow, "Even after not practicing for a few months you still held up pretty well Izuku, but now that we can come here I expect you to start training again," she then gulps down some water, "I want you to be as prepared as you can for when you start going to U.A."
Izuku nods in acknowledgment and determination grows within him as they begin sparring again.
The sun hangs heavy in the sky by the time they finish. Sweat, dirt, grime, and a bit of blood cover their forms as they pack up for the day. Inko lets out a satisfied sigh as familiar soreness spans her body, Izuku however winces with every movement his body not used to such intense exercise after months of light workouts.
On their trek back Izuku asked his mom if she knew any unarmed martial arts.
"Hmm, a little most of my hand to hand is what I learned from experience, why do you ask."
"Oh… umm, there was a book about some kind of martial arts in the trunk and I was hoping you could help me with it."
"Sure Izuku, I'll help you as much as I can." She said as she patted his head.
Izuku flushed, "Thanks, mom."
"No problem Izuku."
A.N
I wanted to offer a reason on how Izuku could study magecraft so fast and didn't want to go the genius approach as canon Izuku while bright is by no means a genius that right goes to people like Momo, so I gave him Thought Acceleration and Memory Partition as a means to accelerate his learning and comprehension. For his path in magecraft, I decided Runes as they offer a varied skillset in a single branch of magecraft, but he will be picking up other things like jewel craft and others for utility (cough*glorified batteries*cough). He will end up more a spellcaster than a magus obviously as he cares more for helping people than research but will dabble because he likes quirks too much. As for the Fujimura owning a portion of Japan, if AFO can control the country due to the chaos of quirks popping up then Taiga's spawn can accidentally control an island. I will be picking up the pace hopefully as I feel I have a pretty solid foundation for Izuku to grow from, and for those curious about me including Servants the answer is yes but not in the way you expect.
For those worried about Izuku being Op down the line the answer is yes for the mundane world, he will be about average for Moonlit world stuff, however, and one more note some people will be stronger than they were in canon due to a variety of factors i.e. magecraft training, executor training, various supernatural phenomena, etc.…