<p>Can I get into Princeton?</p>
<p>I am 16 - just turned. In the USA that corresponds to a junior I believe. I am home-educated and Anglo-Irish (living in Ireland - our colleges here are good but are expected to soon introduce high fees). I want to major in pure mathematics. Beyond reading and basic numeracy skills (and for a brief time French), my learning has been autodidatic I have the following stats:</p>
<p>Last year I got about 2000 on the SAT test (This was the first time I have ever been in a school). Near perfect scores on maths and English (and I nearly fell asleep on this bit of the test, I get the distinct impression Americans are not very intelligent)- followed by a terrible score on the essay - I wrote it quite quickly without bothering to reread the question - slightly off-topic.</p>
<p>Mathematics - I have studied the entire secondary curricula. I have Calculus I, II and most of III save for the vector integration bit. Real Analysis (including a little bit of Fourier Analysis). Complex Analysis. Linear Algebra. Number Theory. Group Theory. Probability - proof based course. College Geometry, Set Theory. I am doing Ring theory at the moment as well as little bit of graph theory. Soon have topology lined up.</p>
<p>Economics. Again I have studied the entire secondary curricula. I have studied the university introductory course in both macro and micro. In addition to this I have done intermediate microeconomics. At the moment I am doing International Economics (textbook by Krugman). I have an intermediate macro course lined up after this.</p>
<p>Physics. Again I have studied the entire secondary curricula (A-Levels in this case). I am going through Essential Physics by Francis Firk (free ebook - am on Chapter 4) - similar apparently to Feynmann Lectures on Physics.</p>
<p>Chemistry. Again I have studied the entire secondary curricula. Done General Chemistry. Doing Org Chemistry 1.</p>
<p>Biology. With the exception of Genetics I loath this subject. Nearly finished it at secondary level (in two days) - A2.</p>
<p>Psychology. Completed an university introductory course in this.</p>
<p>Sociology. Completed an university introductory course in this.</p>
<p>English. Done this subject completely. To take the Leaving Cert I have to study a new book of poetry that has just come out though.</p>
<p>Computers. I know how to turn them on. I can program in Python basically. I am not too interested all things considered.</p>
<p>Critical Thinking. Done this at A-Level.</p>
<p>General Studies. Done this at A-Level</p>
<p>Linguistics. Focusing on A-Level English Language course. After finished will do linguistics university course.</p>
<p>Classical Studies. In the US I believe you call this a classical education. Have studied most of the usual texts (Plato, Iliad, Thucydides etc). Much of my philosophical knowledge comes from this plus a few later authors like Kant and Nietzsche. </p>
<p>Accounting. Am just starting leaving cert course (HL) in this. Know most of the basics - double entry system etc already.</p>
<p>Business studies. IB course.</p>
<p>Geography. I know quite a bit - the entire secondary curricula (A-Level). No university material though.</p>
<p>Applied Maths. Leaving cert course.</p>
<p>Game Theory. I know this is not a subject proper but is one of my pet obsessions.</p>
<p>History. Perhaps my favourite subject. I know a lot of information here. Am not sure exactly what courses it would correspond to but certainly well beyond secondary school. Perhaps beyond even undergraduate level. Reading an article on any nation in the newspaper I can put it into historical contrast.</p>
<p>Languages. My bete noir (pun intended). I can never seem to get the hang of languages. Perhaps this has to do with being uncertain with which to learn. Have tried Gaelic, French (probably my best), Latin, German and Spanish. With the slight exception of the first two on this list I have mastered precisely 0. Saying I am even able to speak them is an exaggeration - reading very slowly I can make French out though (maybe a page in fifteen minutes).</p>
<p>Logic. I have a fair amount of instruction in formal logic and common logical fallacies. It ought to be a necessity to study in this area before doing higher-level (proof-based) mathematics - it helps no end</p>
<p>Psychoanalysis and (Greek) Mythology. I have a great deal of useless knowledge in this area. Personally I wish I could forget some of it and free up some mental space.</p>
<p>Insofar as extra-curricula activities exist I have little to speak of. I have one paper which has just past preliminary review in a top journal (nothing close to Nature - top in its scientific field). I know that statistically, its chances of passing double blind peer review is small though.</p>
<p>Anyway I would like an estimate of my chances of getting into Harvard, Princeton or Cambridge. Princeton would be my first choice due to its maths and Presbyterianism .Personally I would not describe myself as an extrovert. I abhor alcohol. My background is a patchwork of Protestant and Catholic. I come from the border regions with Northern Ireland (not as dangerous as it sounds. Outside Belfast itself there are rarely any incidents - the Omagh bombing was a major exception). I am not sporty save for swimming (I last swam competitively about 6 years ago).</p>