Due to its relative importance, this page is somewhat unfinished.
Due to its relative importance, this page is somewhat unfinished.
I am tempted to steal a
quote from
Alexander Varshavsky's homepage :
"We're interested in just about
everything. But the brevity of life being what it is compels selectivity."
Speaking of research interests, I am interested in Mathematical Physics
and String theory - mainly in the form
of Algebraic and Complex Differential geometry.
Most recently I've been studying non-abelian Hodge Theory, opers and
the Hitchin system. More specifically, I have been trying to describe explicitly the
Higgs bundles arising from opers under the non-abelian Hodge theorem.
Another direction of research, which for the moment
is falling behind -- but hopefully not for too long -- is
Special Kaehler geometry. In the not-too-distant future I plan to pay some attention to
Frobenius manifolds, tt^{*}-equations,
twistor- and generalised Hodge- structures.
At some point (for my master's degree) I was involved with Dirac operators with torsion and even
before that - with gravity theories utilising connections with torsion.
CV
Teaching Philosophy
Research Statement
AMS -The American Mathematical Society and its Bookstore .