Today I am in Madison, Wisconsin where Scott Diehl has just defended
his thesis. Scott's advisor, Dieter van Melkebeek, was my advisee at
Chicago, making Scott my first Grand Student. I've waited a long time
for a grand student, my first student Carsten Lund graduated back in
1991. But Carsten went to AT&T and my next student Lide Li also
went into industry. But now with three students in academia (including
Sophie Laplante at Paris-Sud and Rahul Santhanam going to Edinburgh),
Scott will be the first of many.
Actually what I really want is an infinite tree below me, but König's
lemma says I needed a grand student first.
Diehl's thesis is on time-space tradeoff's for satisfiability. I
worked in this area about a decade ago then extended some of that work
with Dieter who then worked on it with Scott, a passing of
knowledge from generation to generation. The symbolism is so, umm, symbolic.
So as not to slight the other members of the family: Scott's academic
aunt, my most recent student Varsha Dani, graduated last quarter. And
just two days ago I was back at U. Chicago for Sourav Chakraborty's
successful defense (Sourav is a student of Babai).
The advisor-student relationship is indeed precious. In talking to my students, I find myself saying often "My advisor David Shmoys would say ..." (Oded has made a similar comment about his advisor Shimon Even).
Anonymous 3: No. At the Mathematics Genealogy Project there is an artificial link showing Lagrange as Euler's student. Lagrange, however, has no degree, hence no advisor.
http://www.genealogy.ams.org/id.php?id=17864
Therefore only about 1 in 50 Math/CS graduates have Euler in their pedigree.