how to get into any camp/program you want (some soft techniques)

by fuzimiao2013, Jan 11, 2025, 11:34 PM

DISCLAIMER: This is not a step-by-step or comprehensive or even possibly completely accurate guide on how to get into the camps you want. I don't know your situation. I'm some random person the internet spewing out advice with questionable amounts of experience backing up my statements. Take everything you read here with some decently large helpings of salt.

With that out of the way, let's begin.

SUMaC applications opened a few weeks ago, along with Ross, PROMYS, MathILY, and Mathcamp, which opened just yesterday. HCSSiM opens soon, along with SPARC. For those not applying to "math camps", there's also SSP, BU RISE, RMP, and many more that have either opened or are opening very, very soon.

I got a lot of these questions last year after I got into Ross, and I also got more after I got into PRIMES, and then more after I got into SPARC, so I thought I would just go ahead and compile some of my thoughts on
a lot of you guys, apparently, wrote:
How do I get into X?

The short answer, and I think most of you expected this, is that "it's complicated" and "there's no one way of getting into a camp". People have a lot of different experiences/qualifications/entire lives than you, and the people who wind up going to one of the camps I listed above tend to be really different from each other - after all, you don't see 80 clones of myself at Ross, nor do you see 50 clones of me in PRIMES. What one person says helped them get in is not something you should take for gospel - rather, something you should take into light consideration. Not just that, but also, a lot of these camps select for a lot of different things, even if only subtly. In very similar flavor to Stop Looking For the "Right" Training, Stop Looking for the "Right" Way to Apply. There isn't really a good formula of doing this.

So yes, I'm encouraging you to stop asking for this kind of advice. While you definitely gain some amount via this kind of interrogation, you're asking one specific person who's gotten in to something who is (very likely) not extremely qualified to speak to "what did X like about me", most of the time. So take their advice with some handfuls of salt, and just understand that it's not going to be extremely useful. I myself tend to be very wary of giving out this kind of advice to people because I know for a fact that I don't have a good answer to "what did X like about me" - I can only guess, and sometimes my guesses are wrong, and that tends to be pretty bad for whoever I just gave advice to.
a lot of you guys, apparently, still, wrote:
But I have no idea what I'm doing!
So, instead of giving you advice, I'll provide you some lenses.

I think while there's no particular "hard" technique to get into camps, there are some "soft" techniques to do so, borrowing off of Evan's Hard and Soft terminology he uses to describe math problems. I think some of the best "soft" techniques you can gain are interesting lenses by which to look at an application and to look at your own application. I will provide some and update this whenever I think of a new one to add.
  • The admissions officer is likely going to be looking at quite a few applications.Harder Lens Even Harder Lens Note
  • What kinds of things does this camp seem to like? What does their general clientele look like? Harder Lens Note
  • What does the camp hope to gain from my response to the short answer essays? Harder Lens
  • What does the camp hope to gain from this specific question they're asking me? Why are they asking this? Harder Lens
  • What does the camp hope to gain from my response to this problem set? Do they really actually just want to see me solve hard problems? Harder Lens
  • How do I feel like the admissions committee will feel after reading this part?
  • How do I feel like I will be summarized during conferencing of the admissions committee?
  • I am going to be on the campus for a long time. Harder Lens
  • I should put in my best ability to get in. Harder Lens
  • "A little thing like that don't cost nothing, and it's just the little things that makes a man to be looked up to and liked." ~ Mark Twain

As an example of why I think "hard" techniques fail, consider my experience from about two years ago.

I often hear the advice "PROMYS likes to see extensions to problems." When I first applied to PROMYS, I did exactly that - extensions of every problem - taking the 3D case or deriving a general formula or something like that. But now, after reading them again, I feel all of them were forced and uncreative and put there for sake of being there, to check off boxes on a list, so that somehow I would get in easier. And I knew a plethora of other people who would follow this same advice, and a plethora of those people, who, like me, got (expectedly) rejected that year.

I would like to attribute this advice to some person who, in the past, did extensions of the problems and got in and gave that advice to other people, not realizing that this would trap people into a slightly not-as-faithful interpretation of their advice. Rather, I think this advice was a consequence of the soft technique of "The admissions officer is likely going to be looking at quite a few applications", repeated over and over by applicant after applicant without truly thinking about "why am I actually making these extensions?" or "what do I hope the admissions committee sees from my extensions? My ability to build off of ideas? Am I really successfully conveying that here? Am I just ticking boxes" and the like.

If hard technique H worked for P person, there's a chance that it wouldn't work for Q person. Or there's a chance that hard technique H is simply a representation of soft technique S, done specifically in the case of P person. Imagine soft techniques as a template, and hard techniques as the instantiation that worked for someone.

I went into the PRIMES application strongly with the mindset of "The admissions officer is likely going to be looking at quite a few applications" - so I spent way more time than I needed to fine-tuning my .sty file, fine-tuning my writing, rewriting solutions upwards of a dozen times (I wish I was kidding), making things as clear as possible, and then trying to extend problem G1b of the application as far as I could take it, spending way more effort into it than I think any other applicant did. I stand out. But it wasn't forced - it wasn't "done to be done", not "I have to do this, so I'll just extend G1b and make my solutions look pretty" - it was, rather, "I'm good at this, so let me make it abundantly clear I'm good at this, and let me allow my solutions to be my medium to convey this."

I could go on to tell people that "you should extend a problem completely" or "you should write up your solutions really nicely" or something of that sort when people ask me for advice. I don't. Because I don't think what I did would work for others - not because I'm "special", but rather that feelings and exact ideas are stupidly difficult to convey easily through words without misconstruing the original interpretation/faithfulness - what I did is hard to describe. And also, I don't think people should try to mold themselves into looking like me to get in - I'm me, you're you - make the difference clear. I don't tell people any hard techniques for it because I think my hard techniques manifest themselves naturally via considering these soft techniques for yourself.

This is only a short snippet of some of the thoughts that should be running through your mind. I've only attached some of my most prominent ones that came to mind first, but you should just take careful deliberation and constantly question things like "Is this actually something I should be putting on this application/putting here?" You should be thinking about your application while you are making it. Don't be a robot and try to just "follow a formula" - think about what you're doing. Take these soft techniques in mind.

Good luck, little soldier.

I'd love to hear what you have to say about this - comment! - I by no means claim to be an authority on this, so I'd like to disagreement with this.
This post has been edited 11 times. Last edited by fuzimiao2013, Jan 13, 2025, 7:51 AM

独逸 .

by smileapple, Nov 11, 2024, 7:36 AM

life and death situation

by fuzimiao2013, Nov 9, 2024, 3:44 AM

sometimes when i read a book or watch a movie or see something happen in the world
and someone dies
i think about how they had an entire life before that moment
how they also were born
that they had parents who probably loved them
that they went to a school with friends who probably liked them
that they went to university probably with dreams of the future
and all of that
built up to this one
tragic
incident.

brings it a lot closer to home for me than a lot of the other things people will say regarding this

i think this can be twisted in some way to become a story of how you should constantly live in the moment
that you shouldnt keep looking on into the future or back into the past when you have the present right there for you
because every day could be your last

but this message gets preached so much and
i dont know if anyone bothers to listen anymore
i dont even think i do


just a short one. longer one coming soon, for some definition of soon. i have it in the works,
but just wanted to share this
This post has been edited 2 times. Last edited by fuzimiao2013, Nov 9, 2024, 8:12 PM

deutschland

by smileapple, Aug 28, 2024, 7:12 AM

mein Herz in Flammen
will dich lieben und verdammen
dein Atem kalt
so jung und doch so alt
deine Liebe
ist Fluch und Segen
meine Liebe
kann ich dir nicht geben

Problem (Germany 2017/5). Prove that for all non-negative numbers $x$, $y$, $z$ satisfying $x+y+z=1$, one has \[ 1 \le \frac{x}{1-yz}+\frac{y}{1-zx}+\frac{z}{1-xy} \le \frac{9}{8}. \]
Solution. For clarity we shall use the dummy variables $a$, $b$, $c$ instead of $x$, $y$, $z$.

The lower bound is clear as $\sum_\text{cyc}\frac{a}{1-bc}\ge a+b+c=1.$

Now, set $f(x)=\frac{4x}{3+2x-x^2}$. The line $y=\frac{63x+3}{64}$ describes the line tangent to $f$ at $x=\frac13$, and we observe that
\begin{align*}
\frac{63x+3}{64}&\ge\frac{4x}{3+2x-x^2}\\
\iff(3x-1)^2(7x-9)&\ge0,
\end{align*}which clearly holds on $[0,1]$. It then follows by AM-GM that \[\sum_{\text{cyc}}\frac{a}{1-bc}\le\sum_{\text{cyc}}\frac{a}{1-\frac{(1-a)^2}{4}}=f(a)+f(b)+f(c)\le\frac3{64}\sum_\text{cyc}(21a+1)=\frac98,\]as desired. $\blacksquare$

sometimes on car rides i look outside

by fuzimiao2013, Aug 28, 2024, 5:09 AM

Sometimes on car rides I like to look out the window and just look at the other cars. I think it's really interesting that, in every single one of those big metal boxes of vroom, there's a person there. There's an entire life in there, some life that led them to this moment to be in that car at that moment. I find it really interesting that I don't know who the person is, who they are, what they've done, when they plan to arrive, where they're going, why they intend to go where they go, and how they are.

I find it really interesting that I will likely never know.

I think to some extent this is a really obvious thing to note. Of course there's a person in the car. But I think I unconsciously treat that person as if they are just somehow a thing. Somehow I don't really register sometimes that there is a human life there.

I think I like to think that I do a lot of the things I do because I want to know things. I'm not sure how true this is, honestly. I personally think it is pretty true, but perhaps I've told myself this enough times to convince myself of this, even if it's not true. And if I have, I think it hardly makes a difference anyhow.

I find it so interesting sometimes that there's just information out the window of the car that I just can't get. There is not a chance for me to stop time and just look into what's going on in there and just get to know these people. I like to entertain myself and just think about what they could be doing, how different their lives are compared to mine. How different their life stories are compared to mine, that somehow fate has had it such that we are on this same strip of road in the same part of the country at the same time. How drastically different people we can be.

Sometimes on car rides I just look out the window and think.
This post has been edited 6 times. Last edited by fuzimiao2013, Nov 17, 2024, 7:02 AM

i think about some differences

by fuzimiao2013, Aug 21, 2024, 6:33 AM

I like thinking about different people and perspectives sometimes.
So I think a lot about who I was 2 years ago.

I think a lot about him. I care a lot about his opinion.
He's one of my greatest influences.

He and I will think back to the things I've done in these 2-odd years. He'd have questions, he'd have opinions.
He'd think some of the things I've done are weird. He doesn't like weird things.

But I like my weird things.

He's very full of himself, this kid is,
So sure of what he wants.

I think about much through his lens.
I think about how he doesn't through mine.
There is a difference and
It's not fair.
And I try to adjust accordingly.

He and I will think back to how I've changed in these 2-odd years. He'd want to know things got better.
He'd hope that the things I've done were effective. He wants change.

I'm not delivering.

I think he would be disappointed. Some things stay the same.

Afterword
This post has been edited 27 times. Last edited by fuzimiao2013, Nov 17, 2024, 7:03 AM

new beginnings

by fuzimiao2013, Aug 13, 2024, 8:10 PM

As I've started junior year of high school I've realized that sophomore me was full of sh*t. I'm going to have a lot more time now to do what I wanted to do than before. I think it's more so that with the added time, it's been harder and harder to figure out what I truly want to do, and figure out when and how to do those things.

I still hate the other blog, and I kind of hate this one for some of the posts I made and subsequently deleted. I really don't like looking in either and I just want to forget it really happened.

Not a great blog.

I'm not sure where I'd like to take this blog this year. Perhaps it will be dead, as with the other one, or perhaps I'll spend some time thinking about things and actually writing things down. I opened a Substack account and subsequently a blog. I'm not sure what I want to do with that yet - it's just an open door for me at the moment so then if I choose to do it later that I have less resistance.

I suppose I'd like to have a place to put my thoughts down. Writing seems to be good, or something. Or wrong.

SPARC has changed a few of my perspectives on how I view things like these.

This blog will have ... my attempts at conveying the jumble of thoughts I have sometimes. Hopefully. And hopefully the post frequency won't be two posts per year, as I've made this one.

Welcome. :welcomeani:
This post has been edited 1 time. Last edited by fuzimiao2013, Aug 13, 2024, 8:29 PM

i learned how to balance redox reactions

by asdf334, Aug 31, 2023, 1:54 PM

fuzi im actually a genius your chemistry TRICKS will fool me no longer

beginning

by fuzimiao2013, Aug 24, 2023, 3:00 AM

As I've started sophomore year of high school I've realized I'm going to have way less time now than before to do things I want to.

And I hated the other blog anyways. I really don't like looking in it and I just want to forget it really happened. It's like thinking back to something cringe you did in 6th grade, but now you have the entirety of the AoPS community see your stupidity too.

Not a great blog.

This blog will just have a lot of spam and rants and short blurbs it's going to have > 1 post per week hopefully.

Peace :welcomeani:
This post has been edited 1 time. Last edited by fuzimiao2013, Dec 22, 2023, 6:58 PM

behold my thoughts i shove into the world // dm me @contabulator on discord

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