Blogging has to take a low priority I am afraid due to time constraints, but topics I would like to try and write about this year are tentatively listed below, and in no particular order. Some will be ‘lay person reviews’, some will be semi-technical, while others (denoted with *) will be technical articles at the text book or journal level perfused with some LaTex. I certainly don’t claim to have expertise in all of these areas (although quite a few I think I can discuss with some authority). I do however have a wide range of interests reflecting my background. Primarily I am writing about research topics and areas I have either worked in or have studied or read about that I find especially interesting; or simply summarizing something I am trying to understand. Other posts will include book reviews, primers on a few topics, and reviews of preprints or journal articles. Comments, input etc. is welcome as are corrections of the dumb errors I will invariably make. (My only request is that any discourse is kept civil.)

\bullet Despite difficulties, string theory remains a compelling area of mathematical research.

\bullet Statistical topology of polymer tangles: applications of Wilson loops and Chern-Simons theory (*)

\bullet Stochastic Analysis I: Markov processes, diffusions and Brownian motions. (*)

\bullet Stochastic Analysis II: some illustrative applications in finance and quantum mechanics. (*)

\bullet Topological  field theory and molecular biology: dna knots and superhelicity.

\bullet Brief primer: Lax pairs, integrability and the Bethe ansatz. (*)

\bullet Brief primer: characteristic functions and the linked cluster decomposition. (*)

\bullet Freedom and slavery in the subnuclear realm: quarks, gluons and confinement. (*)

\bullet Inferno: the thermonuclear processes that fire the sun and the stars.

\bullet Dissipative stochastic processes and the statistical mechanics of folding proteins. (*)

\bullet The power of statistical sampling: history and applications of the Monte Carlo method.

\bullet John Von Neumann and Subramanyan Chandrasekhar: great intellects of the 20th century.

\bullet Singular terminal indecomposable past sets: a class of conformal factors restoring geodesic completeness. (*)

\bullet Light scattering and radiative transfer in liquid suspensions of polymers and bioparticles: borrowing mathematical methods from nuclear and astrophysics. (*)

\bullet Strings, branes and black holes: a tantalizing connection. (*)

\bullet The Kerr solution of the vacuum Einstein equations–the most remarkable exact solution in mathematical physics? (*)

\bullet Possibility of pycnonuclear reactions in superdense matter, liquid metal hydrogen and collapsed stars. (*)

\bullet “I know how to make it work…and it will change the course of history…”: Mathematician Stanislaw Ulam and the hydrogen superbomb.

\bullet Wave propagation on stochastic geometries. (*)

\bullet The surface physics and chemistry of artificial polymer-blood interations.

\bullet Notes on differential geometry, gravitation and black hole mechanics (*)

\bullet Classical Book Review: The Mathematical Theory of Black Holes. S. Chandrasekhar.

\bullet Book review: String Theory and M-theory–a Modern Introduction. Becker, Becker and Schwarz.

\bullet Book review:Inventing Money. The Story of LTCM and the legends behind it. N Dunbar.

\bullet Stochastic games and Markov games: are casinos beatable?

\bullet Submissions to J. Math. Physics for 2007.