My interest in Algebraic Geometry lies in general in moduli spaces of sheaves and mainly in stacky Gromov-Witten theory,

Derived algebraic geometry and recent ideas about correspondence between Donaldson-Thomas and Gromov-Witten 

theory. recently I have done some study on Genus zero Gopakumar-Vafa invariants of contractible curves, to do this I used

1. Genus zero Gopakumar-Vafa invariants of contractible curves, Sheldon Katz,

2. Gorenstein Threefold Singularities with Small Resolutions via  Invariant Theory for Weyl Groups, S. Katz, D. Morrison

3. The geometry of moduli spaces of sheaves by Daniel Huybrecht and Manfred Lehn

4. Fourier Mukai transforms in algebraic geometry by Daniel Huybrecht.

5. Intersection theory by William Fulton

6. Mirror symmetry and algebraic geometry by S. Katz and D. Cox

7. Gromov -Witten theory and Donaldson-Thomas theory by D. Maulik et al.

I will put more stuff about this (like my results) here in close future!

I also, every once in while, like reading Jacob Lurie's notes on infinity categories and higher topos theory.

I am also a member of geometric langlands seminar at university of chicago which is handled by Prof. Vladimir Drinfeld and

Mitya Boyarchenko which is very useful.