So I mean at this point I've finished like me "big" project

nothing else really to do with it

I have other things I do (non math)

but it's fun to have something to tinker with

anyone got any interesting analysis related things they like to tinker with?

maybe a proof they're trying to solve?

@TedShifrin

hey there, Karim

hello my favourite professor

I finished my thesis

Wow. Congratulations!

my master thesis

200 pages :D

it is more like a phd thesis hehe

That's twice as long as my Ph.D. was (typed by an IBM typewriter ... long before computers).

This is the abstract btw

The Hodge conjecture can be formulated in terms of Algebraic Cycles Groups. That is, Hodge conjecture state that every Hodge class on X is algebraic. This tells us that is worthwhile to explore the complexity of the Algebraic Cycle Groups. On the other hand, it turns out that we can study algebraic Cycles from the point of view of K-theory and vice versa.

The aim of thesis is to explore the complexity of Algebraic cycle groups and K-theoretic invariants and to build bridges between K-theory and Algebraic cycles. We will use the methods developed to capture arithmetic invariants.

Ah, you went in a direction I know nothing about. Of course the Hodge conjecture is classic for hypersurfaces :)

I know the direction I want to head in for my PhD it will be homological mirror symmetry and algebraic cycles.

Do you have expert(s) on such things to work with?

yeah one expert works in algebraic cycle and the other one works in mirror symmetry.

Okey dokey. LOTS for you to learn.

both of them works together and they are very nice people. One of them is the one I am currently working with.

Yeah I love learning :D

I dedicated my master thesis in the memory of my brother I had to write the following sentimental thing in my acknowledgement

I dedicate this thesis in the memory of my brother. Thank you for encouraging me. From your encouragement, I managed to learn basic Mathematics, Calculus, Chemistry, and Physics by myself in span of only 6 months. I have this acute visual memory, so everything that we shared together will be remembered. Thank you for being once in my life and all the memories that we shared together.

I didn't want to be dramatic but I had to honour my brother in the thesis.

That's great. I'm sorry he died young :(

yeah he died from cancer during my 2nd semester of undergrad

shitty disease.

wow, I'm sorry. :( ... I'm glad (so far) I'm still alive after my war with cancer.

Yeah me 2 :) Hopefully humanity will eradicate this crap soon.

unfortunately the cause of cancer is mathematically near impossible to eliminate

but hopefully

we can come up with ways to get rid of it once it appears that are better than we do now

Well, among other things, there are zillions of very different cancers ...

yeah something like a screening process

@Adeek that is quite interesting!

maybe something where people get checked each month

and then see if they have early stages of cancer

@loch Yeah It took me like 8 month of isolation, but I am proud of what I did :D

@TedShifrin I'm referring to the fact that DNA is very much like a turing machine from what I hear and cancer is primarily caused by DNA doing undesired behavior. Attempting to isolate the cause from the DNA perspective is like trying to write a thing to detect all programs that will eventually spawn computer viruses on the internet. It's far easier to detect harmful behavior than it is to predict it outright... in the general case at least.

of course

this is my outline @loch

I might be severely overthinking this

i dont know biology for shit

I am gonna go back to work nice seeing you all :)

cya @TedShifrin

Cya, Karim. And congrats! :)

Hi @Ted

Can a cyclical pattern of adding and subtracting integers find primes well

Or is the fact that the pattern repeats itself means that it won't be successful due to the inherent random nature of the primes

If you start with 3 and add 2 cyclically, you'll find most primes eventually

Wont you find all them eventually

2 is prime

So the pattern is add 1 then add 2 forever

So add 1 forever

add nothing at all, the pattern will continue

But what about a cyclical pattern that only finds primes

No, it's pretty easy to prove that it isn't possible.

Oh

Yeah. I think it's a related to a result about arithmetic sequences?

number theory is trash tbh

i throw it in the garbagio

I wonder what the record is for a cyclical pattern finding only primes

No, just take any $a > 1$ in the sequence and consider the $a$-th term after that.

Probably pretty low

@BalarkaSen Idk, analytic number theory is fascinating to me.