For the key stuff, just glance at the bold statements and my program choices. So; I tend to think that my stats are pretty iffy, but I'd like to see if I can get any input. I'm applying to a variety of programs (though I'm only putting up the math and stats choices here) because I've got a wide variety of interests out side of class (which accounts for my so-so grades, that and I really was not putting forth my best effort, but that's not really something I can change at this point). Some of my GPA could possibly be viewed as reasonable because of the heavy course load, advice on this would be much appreciated. I go to a small, generally unknown university. Here are my courses: Calc 1 - B -Eh Calc 2 C - Ouch, that semester was terrible overall. My GPA discounting my second semester is about 3.6, including it, it is about 3.4. I tutored calculus at my university for a year following this, so I suppose it makes up for it some. Third Semester: I took 16 credit hours, all math Calc 3 Eh, once again. I was pretty bad about doing homework. Linear Algebra [A] Intro to Higher Mathematics [A] Abstract Algebra [A] (Yes, took this all at once, I got special permission for this course because I caught up to the work within three weeks and aced the first test) Mathematics Software Programming [A] Fourth Semester: 18 credit hours, 12 in math Elementary Number Theory [A] Abstract Algebra II [A] Diff Eq Discrete Mathematics [A] Fifth Semester: Grad level theory of Computation - [A], totally aced every test with top grade Numerical Analysis [C] Ouch again, really slacked off. Real Variables [A-] Intro to algebraic geometry, Independent study [A] Sixth Semester: Might have overdone it here, 20 credit hours of hard courses Grad level Mathematical Logic I and II (quarter system at other uni) [B+] in both Undergrad Complex Analysis [C+] Ouch Advanced Calc 2 Applications of Algebra, independent study [A] Object oriented Programming I [B+] Ocaml and Bridge AI, Independent study [B+] Not enough programming experience on my end to pick up a functional language on my own, much less do original work in coding a Bridge AI. Also prof didn't know the language ahead of time. Probably an ill conceived endeavor all around... And due to personal reasons (which I suppose I should explain in my statement of purpose) the only mathematics/computer science course I've taken in the last year is a Computational Complexity graduate seminar with the same prof who I did the mathematical logic courses with. I've chatted with him quite a bit, and actually think he may give me a good letter of recommendation, despite my so-so grades in his course, though I'm not sure. This semester I'm hopefully going to be taking three grad courses; one in logic methods in computer science, one in graduate complex analysis (to make up for slacking off in the undergrad course) and one in graduate mathematical statistics. I'm three sigmas confident I could make A's in them if I actually do the work, and I plan to do it. General GRE 660 V 790 Q 4.5 AW Putnam: Scored a 10, taking again, hoping for a 20. Math Subject: Will take in October, projected to be above the 80%ile, scored ~85th on the two re-normed practice tests; I figure if I put in a solid amount of studying over the next couple of months I should get at least that. Assume for the purposes of this assessment that it's 85%ile. Research: University research fellow in Algebraic Cryptology one summer. As far unquantifiables go, I've got a solid background in algebra and logic. I've got a lot of background in proof theory, which is a pet interest of mine. I've read a good bit of the Handbook of Proof Theory, and I've currently been reading up on Martin-Löf type theory because I'm interested in Voevodsky and Awodey's Homotopy type theoretic 'foundations' they've been setting up in Coq. I've got an interest in game semantics for proof theory as well, and I've been looking into Girard's Linear Logic as well as efforts in computability logic (such as cirquent calculus). In addition to this, I've developed a strong interest in mathematical statistics and will be applying to a number of stats programs. My interests are in rational choice theory, Bayesian decision theory, machine learning, monte carlo methods, graphical models and experimental design. I've been working through E.T. Janye's Probability Theory, Bishop's Pattern Recognition and am getting Schervish's Theory of Probability. Another side interest is in cognitive science and computational neuroscience. I've been reading quite about about that subject; parituclarly in The handbook of Brain Theory and Neural Networks, the MIT Encyclopedia of Cognitive Sciences, and Theoretical Neuroscience by Dayan and Abbott. In my statement, I think that I could be quite specific about my research interests in Algebraic geometry, Logic and Neuroscience, a bit less so with statistics. So bearing all of that in mind, could you guys give me an honest assessment for: Mathematics: CMU (specifically for the center for applied logic) UIUC (for algebraic geometry) University of Utah (alg geometry again) University Notre Dame (for logic) Rensselaer Polytechnic (applied math) Still thinking about a few, I'll definitely apply to more than these. Statistics: Ohio state Yale University of Florida University of Indiana UCLA Still researching schools for statistics. Truthfully, if I can get into a stats program that looks really interesting I would probably choose that over a good math program. Request: I really want to know whether I have a better shot in statistics than in mathematics, and whether my course choices are overly ambitious or not ambitious enough for either group above.