These are mathematical notes, ideas and thoughts that I have collected here so that I  organize my way of thinking and computing,  collaborate with other mathematicians remotely and popularize mathematicas among mathematicians.  Some of these notes may grow into some articles which might deserve publication and some of them are raw thoughts. If you think that you can contribute to some of these notes, please contact me. For the following html files MathJax is on.

August 2013:
  1. 12 August 2013. Classification Of Arithmetic Triangle Groups, Dwork operator, Gauss hypergeometric function, Takeuchi's classification of arithmetic triangle groups. 
  2. 06 August 2013 Automorphic Forms For Non Arithmetic Triangle Groups,   Algebraic curves attached to hypergeometric functions due to J. Wolfart, Jacobian of a curve, Abelian varieties over finite fields, Siegel upper half plane, moduli of principally polarized abelian varieties and Dwork map. 
  3. 15 august 2013 Continued fractions, Recurrence sequences and linear differential equations, Poincare's theorem on recurrent sequences,  a theorem of Ince, Perron and Norlund on continued fraction representation of solutions of linear differential equations.
  4. 16 August 2013 A theorem of Furstenberg and Deligne, Some special periods, called the diagonal of algebraic power series,  modulo a prime are algebraic, see  here . (I learned this in a talk by Boris Adamczevski)
  5. 23 August 2013 Zeros of Periods of Mirror Quintic Calabi-Yau Threefolds, 
     
September 2013:
  1. A problem on a leaf of the Halphen-Ramanujan differential equation for the mirror quintic Calabi-Yau threefolds.
October 2013:
  1. 07 October 2013, What is a Siegel quasi-modular form?
  2. 07 October 2013, Hecke operators beyond elliptic curves and Abelian varieties.
  3. 09 October 2013, Ramanujan's Radial limits and the geometrization of mock modular forms, some thoughts after participatink a talk of Ken Ono. 
  4. 15 October 2013,  The Lie Algebra SL2, Ramanujan and Halphen vector fields, infinite dimensional representation of Lie algebras, 
  5. 15 October 2013, Topological partition functions for elliptic curves, de Rham cohomology and Gauss-Manin connection of elliptic curves, 
January 2014:
  1. 23 January 2014, A question on mirror symmetry
December 2014:
  1. 15 December 2014, I was busy with What is Gauss-Manin Connection in Disguise? and the project GMCD
  2. 16 December 2014, Moduli of enhanced varieties and Frobenius manifolds
  3. 16 December 2014, Modular forms with non-integral coefficients 
November 2015:
  1. 5 November 2015, Algebraic Mirror symmetry. This is a problem which I proposed to J. A. C. Morales. He wrote these pages. 
  2. 26 February 2016.  Some thoughts starting from my notes  Topological partition functions for elliptic curves,