Summary
I do research in mathematical probability.
A central theme is the study of large finite random structures,
obtaining asymptotic behavior as the size tends to infinity
via consideration of some suitable infinite random structure.
Research topics
The topics are listed on the left; here is a guided tour.
My main current research focus is on
spatial networks
and on
flows through random networks,
and my two current students
Shankar Bhamidi
and
Jason Lenderman
are working in this area.
I am also continuing a project
Combinatorial optimization over random data
and its scaling exponents with post-doc Charles Bordenave and Marc Lelarge;
and a project
stochastic models for phylogenetic trees
with former student Lea Popovic
and former post-doc Maxim Krikun.
During 2000-04 my main focus was on the overlapping topics of
and I remain interested in rigorous formalizations of the cavity method from
statistical physics.
Also a series of papers with Gregory Miermont and Jim Pitman on
Nonuniform random mappings, ICRTs and Levy-type
excursions,
which partially continue my 1990s work on the
continuum random tree.
Where are the papers?
Follow this link to a list (reverse chronological) of research and survey papers and to
electronic versions of papers since 1997.
Here are
slides from seminar and conference talks.
Here is a small list of
non-technical writings.
Open problems
Simulations and pictures
Confession
OK, so I didn't write Brave New World or the one on
chlamydia, but the others on the
most cited papers
list are mine. Honest.
|
