
Manan Bhatia
I am a third year PhD student at MIT Math, advised by Scott Sheffield.
Previously, I was an undergraduate at the Indian Institute of Science, Bangalore. I work in probability theory and am specifically interested in the random geometries arising from models in the KPZ and LQG universality classes. I can be reached at mananb at mit.edu. 
The metric removability of interfaces in the directed landscape
arxiv:2404.02862.
The d_{γ}/2variation of distance profiles in γLiouville quantum gravity
arxiv:2310.13692.
A Peano curve from mated geodesic trees in the directed landscape
with Riddhipratim Basu.
arxiv:2304.03269.
Duality in the directed landscape and its applications to fractal geometry
International Mathematics Research Notices (2024).
arxiv:2301.07704.
Atypical stars on a directed landscape geodesic
arxiv:2211.05734.
Environment seen from infinite geodesics in Liouville Quantum Gravity
with Riddhipratim Basu and Shirshendu Ganguly.
Accepted at the Annals of Probability (2023).
arxiv:2107.12363.
Small deviation estimates and small ball probabilities for geodesics in last passage percolation
with Riddhipratim Basu.
Accepted at the Israel Journal of Mathematics (2022).
arxiv:2101.01717.
Moderate deviation and exit time estimates for stationary last passage percolation
Journal of Statistical Physics (2020).
arxiv:2004.12987.