user54412
user54412
user54412
I study gauge theory from a mathematical perspective. To me, one of the most fundamental ideas is the notion of an instanton on a 4-manifold.
To be precise, I have a Riemannian 4-manifold and a principal $G$-bundle $E$ over it (usually $G=SU(2)$, $U(2)$, or $SO(3)$). Given a connection on this ...user54412
user54412
2
Consider a sphere of radius $R$ & density $\rho_s$, falling through a liquid having density $\rho_l$, attains a constant terminal velocity $V_t$ then in this case the net force acting on the sphere is zero. Neglecting effect of buoyancy (see in the picture below),
$$F_{\text{net}}=F_{d}-F_{\text{...
Demetrios Christodoulou (Greek: Δημήτριος Χριστοδούλου; born October 19, 1951) is a Greek mathematician and physicist, who first became well known for his proof, together with Sergiu Klainerman, of the nonlinear stability of the Minkowski spacetime of special relativity in the framework of general relativity.
Christodoulou was born in Athens and received his doctorate in physics from Princeton University in 1971 under the direction of John Archibald Wheeler. After temporary positions at Caltech, CERN, and the Max Planck Institute for Physics, he became Professor of Mathematics, first at Syracuse...
Motivation
I have recently started thinking about the interrelations among algebraic geometry and nonlinear PDEs. It is well known that the methods and ideas of algebraic geometry have lead to a number of important achievements in the study of PDEs, suffice it to mention the construction of...
How do they spend their day? Looking out the window trying to think up something new? Learning new maths? Reading other people's papers?
And how is their productivity measured beyond churning out papers?
