Ali Rajaei

Wiles (chair), Washnitzer and Almgren

almgren: absolute continuity, a nice thm about it.
radius ofconvergence of taylor series of 1/x^2+1 at 100.

some unimportant questions that i don't recall, but i tried to sketch
the proof of big picard instead, but he stopped me and said he is not
intersted in it!!!  (it was quite nice, a very clever diff geo proof,u
can find it in milnor's suny notes in cpx dynamics)

algebra
define skew symmetric real matrices, let A be one of them. prove that
(A+I)/(A-I) is orthogonal.
splitting field of x^3-2
discriminant of a poly


# theo:
what's a hilbert class field
what's the maximal unram abelian ext of Q(sqrt5)? the one only ramified at 5?

what is a hecke correspondence? what is the curve corresponding to it in
X_0(N) x X_0(N)? (answer: X_0(Np) corresponds to T_p)

alg geo:
int1/sqrt(1-x^4)? 
diff of 1st kind on x^4 + y^4 = 1.


some other questions like: def of a modular form, how to compute class #s?!
how to ccompute dim of mod forms of weight k?......

2 hours.
theyasked me to stay out for a while in the beginning!!!