Profile Evaluation for Grad schools 2022

[hornedsphere]

Institution - IISER (Indian Institute of Science, Education and Research)

CGPA - 9.1/10, will be 9.5/10 by the end 

Awards - Certificates of academic excellence in various semester

Teaching Experience - TA/tutor for Real Analysis, Group Theory, Elementary Differential Geometry

Research Experience - Currently working on Geometric Invariant Theory at IISc and Derived Categories at IISER. Master Thesis will be on Kahler Geometry and GIT. Don't know if there will be publications by the end of my thesis. I did one of my summers in Symplectic Geometry at IISER
Graduate Courses - A bucketload of them (Enumerative Geometry, Riemannian Geometry, Knot theory, Algebraic Curves, Schemes etc)

Given that my thesis advisor did is an alum of Stony Brook, I was looking to apply to Stony Brook/ UT Austin. Basically departments with a stronger focus on mirror symmetry and derived categories. Are there ways I can improve my application? Or am I aiming too high?

Edited July 11, 2021 by hornedsphere