I often keep handwritten or latex notes related to my research or about certain topics in physics and mathematics that I found interesting. Here you can find some of these: 

• Mathematical prelimenaries on holonomy, forms, cohomology and homology classes can be found here. 

• A short introduction to cosmological perturbation theory can be found here. 

• Calculation of one loop effective potential at finite temperature in 5D Axion Model can be found here.

• Notes on the derivation of interactions in the pseudo-scalar model coupled to abelian gauge fields using ADM formalism can be found here. 

• Notes on eternal inflation in the Effective Field Theory of fluctuations formalism can be found here. 

• Notes on AdS/CFT conjecture based on video lectures at Perimeter Institute by Pedro Vieira can be found here.