I am an Inspire faculty fellow in IISc, Bengaluru. My host is Manjunath Krishnapur.
I was a postdoc at the Weizmann Institute of Science (2020-24). My mentor was Omri Sarig.
I was a postdoc at the Tata Institute (2018-20). My mentor was Anish Ghosh.
I got my PhD from the University of Jyväskylä (2014-18). My advisor was Pekka Koskela.
I got my BS-MS from IISER Kolkata (2009-14). My master's advisor was Saugata Bandyopadhyay.
email : debanjann@iisc.ac.in,
gmail : debanjannandi42
Interests : Metric measure spaces. Recently also interested in homogeneous dynamics, potential theory in groups, hyperbolic spaces and boundaries of CAT(0) spaces
2024:
Diophantine approximation, large intersections and geodesics in negative curvature (with Anish Ghosh, in Proc. Lond. Math. Soc.). (arxiv)
Characterizations of generalized John domains in ℝ^n via metric duality (with Pawel Goldstein, Zofia Grochulska, Chang-Yu Guo, Pekka Koskela, accepted in Colloq. Math.). (arxiv))
Quasiconformal composition for p-Besov capacity in the unit disk (with Pekka Koskela, Nijjwal Karak, Swadesh Sahoo, in Acta. Math. Sinica).
2023:
Exact approximation order and well-distributed sets (with Prasuna Bandi, Anish Ghosh, in Adv. Math.). (arxiv)
2021:
A density result for homogeneous Sobolev spaces (in Nonlinear Anal.). (arxiv).
2018:
A density result for homogeneous Sobolev spaces on planar domains (with Tapio Rajala, Timo Schultz, in Potential Anal.). (arxiv)
Accessible parts of boundary for simply connected domains (with Pekka Koskela, Artur Nicolau, in Proc. of Amer. Math. Soc.). (arxiv).
Harmonic measures on Bowditch boundaries of groups hyperbolic relative to virtually nilpotent subgroups (2021). (arxiv). The submitted version has some corrections to the arxiv version and few more details added.