- Joseph Malkoun's Website
That's me playing the guitar in Paul's office.
I'm
a mathematics PhD student at Stony Brook specializing in differential
geometry. My office is 2-112 located in the Math towers.
This
semester I will be the TA for MAT 303, Calculus IV with applications.
The course discusses basic techniques for solving ordinary differential
equations (ie differential equations for functions of 1 variable, which
is usually time) with applications.
For
me, geometry is like a beautiful woman. They're not exactly the same
thing I know, but there are some points in common. I am preparing for
the oral exam right now. I have 2 major advisors, Claude Lebrun and
Detlef Gromoll. My major topic is Riemannian geometry. Lebrun and
Gromoll are both famous geometers, Lebrun in the field of Einstein
manifolds (a natural class of metrics which seem to be properly
understood only in the Kahlerian case) and Gromoll in the field of
comparison geometry (open any book on Riemannian geometry, and you will
find the Cheeger-Gromoll theorem ) who is now interested in Riemannian
submersions (I will define it later, but a very famous submersion is
the Hopf fibration S^{2n+1} -> P^n(C)., where each fiber is a
circle).
Click here to see some of my mathematical writings.
I
wrote this simple website using a free open-source program called NVU.
It's way easier than writing html files yourself.
Click here to see a picture of my guitar.
Here are some links to some personal webpages:
- Joseph Malkoun's Mathematical Oasis,
which is my old website with some nice math articles which is now back
from the grave! I know it is kind of funny to link to another webpage
of mine from here. At some point, I'll figure out how to perhaps
combine the 2, or which one I should upgrade frequently, etc...
- Tony Phillips' webpage, the friendliest professor in the department.
- My friend Norm Ferns' webpage (but I'm not responsable for the weird contents of his webpage :)). He's a computer scientist by the way.
- My friend Audrey Baker's live journal, but I don't think she's updating it anymore.
- My friend Ian's
journal: this should be an interesting read, especially since he
travels a lot. He also has some interesting political analyses...
My
plan is to put some math pdf files on this website. For some math
stuff,
including my Master's thesis (at McGill, Canada) on complex
differential geometry and complex analysis, and a few other articles,
including a proof that the hyperbolic plane is complete and has
curvature identically equal to -1, click below:
A few other "geeky" math links are the following:
- the sci.math.research group with some discussions of math research questions.
- the famous John Baez's
mathematical physics writings: I have to read some of his "weekly
finds" more carefully at some point, since I'm interested in physics as
well, and whatever is known as "mathematical physics".
- Nigel Hitchin's webpage, a famous differential geometer in the English tradition, if I may say...
- Robert Bryant's webpage at Duke, although he is now the director of the MSRI.
- A link to Alain Connes' webpage, the famous French mathematician who developped noncommutative geometry and applied it to Physics.
- A link to CAMS, the Center for Advanced Mathematical Sciences at AUB, Lebanon.
I
take this opportunity to thank James Simons for his support to the
Stony Brook mathematics and physics departments, and for his support
for the creation of the Atiyah chair for mathematics at AUB.
You can contact me at malkoun at deletethis math dot sunysb dot edu.