Current affiliation : 

I am an Inspire faculty fellow in IISc, Bengaluru.  My host is Manjunath Krishnapur.

Past affiliations:  

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

List of papers published:

      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).

List of papers submitted:

• 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.