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.

Articles

The metric removability of interfaces in the directed landscape
arxiv:2404.02862.

The d_γ/2-variation of distance profiles in γ-Liouville 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.