Previous  Investigations
GENERAL: Spring 2000 
Instructors: Sarnak, Miller

   Prime Spacings

   Random Matrix Theory

   Ramanujan Graphs

   Hardy-Littlewood Varieties

   {n^2 alpha}

   Sums of a_p's from Elliptic Curves
ELLIPTIC CURVES: Fall 2001
Instructors: Wiles, Miller
 
   Sign of Functional Equations
 
   Points of Low Height
 
   Analytic Rank
 
   Sato-Tate
 
   Zeros of Elliptic Curves
DIOPHANTINE: Fall 2002
Instructors: Takloo-Bighash, Miller, Helfgott, Spinu
 
   Digits of Continued Fractions (CF)
 
   Closed Form Expansions of CFs
 
   Periodicity in Continued Fractions
 
   Poissonian & Non-Poissonian Behavior
 
   Rational Relations
 
   Lone Runner

CLASS NOTES: dvi   ps   tex   pdf
GENERAL: Spring 2003 
Instructors: Sinai, Miller, Silberman,
Bufetov

   Random Graphs

   Random Matrix Theory

   Dynamical Piston

   Interval Exchanges

   3x + 1

   Circle Method: Goldbach

   Taniyama-Shimura in Z[i]

   Equidistribution of Roots

CLASS NOTES: dvi   ps   tex   pdf