• Distances in sets of positive Koranyi upper density in Heisenberg group (joint with Rajesh K. Singh) -preprint(2025)
• Distances in sparse sets of large Hausdorff dimension (joint with Malabika Pramanik)-preprint(2023)
•  estimates for generalized spherical averages (joint with Sayan Bagchi, Sourav Hait) Proceedings-Mathematical Sciences 132 (1), 35, 2022
• Self-dual representations of SL(2,F)-an approach using the Iwahori-Hecke algebra (joint with Brahadeesh Sankarnarayanan, Kumar Balasubramanian) Communications in Algebra, 2019
•  Fourier asymptotics, Hardy-type inequality and fractal measures Monatshefte für Mathematik 184 (3), 459-487, 2017
• -Integrability, Dimensions of Supports of Fourier Transforms and Applications , Journal of Fourier Analysis and Applications 20 (4), 801-815, 2014 (This paper was done for sets with pre-packing measure)

Fourier analysis on thin sets; Distance set problems; Configuration integrals of thin sets;

(you may click here to know about me and may access here to know more about the math I do )

Post Doctoral Fellows:

Dr. Rajesh Kumar Singh (September 2023 - June 2024)

Dr. Manish Chaurasia (September 2024 - August 2025)

Dr. Aswin Govindan (September 2024 - September 2025, ANRF-NPDF: December 2025 - April 2026)

Dr. Haripada Ray (April 2026 - August 2026)

PhD Students:

Mr. Meenakshi Sundaram (January 2025-).

Prerequisites: Preferable knowledge in Measure theory/Functional Analysis. Yet if the candidate is interested in Real analysis, the candidate will achieve the prerequisite during their first year of Course work at IISER Berhampur in order to work in Harmonic Analysis & Geometric Measure theory. The selection is based on the departmental committee constituted by the HoD, Mathematical Sciences. Please click here for further details.

MS-Thesis Students:

Some of the potential topics for reading courses/ summer projects and MS Thesis: Distance set of sets in Euclidean Space, p-adic field, manifolds, Heisenberg group; Basic Euclidean Fourier analysis; introduction to Abstract Fourier analysis; Fourier analysis on p-Adic fields; Random fractal measures; convolution operators; Maximal functions on fractal set-ups; construction of fractals with specific Fourier asymptotics; observing patterns in some fractals;

Junior Research Fellows:

Interns: 

Apart from students at IISER Berhampur, Mr. Rakesh Rath (2019), Mr. Sarbartha Sarkar (2025) and Mr. Sushoban Das (2025) were summer interns at IISER Berhampur worked with me.

• Harmonic analysis and Geometric Measure Theory: Falconer Distance set problems; Configuration in thin sets; $L^p-L^q$ estimates of integral operators associated to sparse sets

• Ph.D., Mathematics, Indian Institute of Science (IISc), Bangalore  Fellowship through CSIR JRF-SRF
• MSc, MPhil (Mathematics), Ayya Nadar Janaki Ammal College, Sivakasi

• Associate Professor: Department of Mathematical Sciences, IISER Berhampur (29 February 2024 - present)
• Assistant Professor: Department of Mathematical Sciences, IISER Berhampur (02 July 2018 - 28 February 2024)
• Post Doctoral Fellow : ISI Bangalore (Dec 2017 - June 2018) - Fellowship from NBHM
• Post Doctoral Fellow:  IISER Bhopal (Aug 2016 - Nov 2017) - Fellowhship from SERB-NPDF
• Post Doctoral Fellow:  IISER Bhopal (Aug 2015 - July 2016) - Fellowship from IISER Bhopal
• Teaching Assistant: Kalasalingam University, Krishnankoil, Tamil Nadu, India (June 2008- May 2009)