Additional Responsibility
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Associate Dean, Student Affairs
Publications All
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Lp-Lq estimates for generalized spherical averages
Bagchi, S., Hait, S., Senthil Raani, K.S.
Checkout Publication Title: Click here
Balasubramanian, K., Senthil Raani, K.S., Sankarnarayanan, B.
Academic Background
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Ph.D., Mathematics, Indian Institute of Science (IISc), Bangalore Fellowship through CSIR JRF-SRF
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MSc, MPhil (Mathematics), Ayya Nadar Janaki Ammal College, Sivakasi
Professional Experience
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Associate Professor: Department of Mathematical Sciences, IISER Berhampur (29 February 2024 - present)
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Assistant Professor: Department of Mathematical Sciences, IISER Berhampur (02 July 2018 - 28 February 2024)
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Post Doctoral Fellow : ISI Bangalore (Dec 2017 - June 2018) - Fellowship from NBHM
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Post Doctoral Fellow: IISER Bhopal (Aug 2016 - Nov 2017) - Fellowhship from SERB-NPDF
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Post Doctoral Fellow: IISER Bhopal (Aug 2015 - July 2016) - Fellowship from IISER Bhopal
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Teaching Assistant: Kalasalingam University, Krishnankoil, Tamil Nadu, India (June 2008- May 2009)
Research Interests
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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
Research Projects
- Fourier analysis on thin sets; Distance set problems; Configuration integrals of thin sets;
Post Doctoral Fellows:
PhD Students:
MS-Thesis Students:
| NAME | PERIOD | STATUS | TOPIC |
| Mr. Mayank Agarwal | May 2024 - | Ongoing (co-mentored) | Algorithmic Graph Theory |
| Mr. Saptarshi Gosh | May 2024 - | Ongoing | Sum sets |
| Mr. S. Santosh | May 2023 - April 2024 | Graduated (Co-mentored) | Independence of Continuum Hypothesis, and some applications of Martin's axiom |
| Mr. Milap Kumar Rajgor | May 2023 - April 2024 | Graduated (Co-mentored) | The Bergman Spaces and the Bergman Kernels |
| Mr. Neehar Verma | May 2022 - April 2023 | Graduated (Co-mentored) | Error distance distribution of Projective Reed-Solomon Codes from the perspective of Finite Geometry |
| Mr. Animesh Nayak | May 2022 - April 2023 | Graduated | Fractal dimension and density of s-sets |
| Mr. Pratik Sinha | May 2020 - April 2021 | Graduated | Steiner formula for convex bodies |
Some of the potential topics for reading courses/ summer projects and MS Thesis: Distance set of sets in Euclidean Space, p-adic field, manifolds; 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:
| Name | Period | Sponsors |
| Mr. Ankan Gosh | January - July 2024 | UGC |
| Ms. Aratrika Pandey | August 2020 - January 2023 | CSIR |
| Mr. Masud Haasan | August 2018 - July 2020 | CSIR |
Key Publications
- Distances in sparse sets of large Hausdorff dimension (joint with Malabika Pramanik)-submitted
estimates for generalized spherical averages (joint with Sayan Bagchi, Sourav Hait) Proceedings-Mathematical Sciences 132 (1), 35, 2022
Fourier asymptotics, Hardy-type inequality and fractal measures Monatshefte für Mathematik 184 (3), 459-487, 2017
Contact Details
Full Name
Senthil Raani KS
raani@iiserbpr.ac.in
Contact
+91 680 2227764
Address
IISER Berhampur
Personal Website
https://senthilraani.wordpress.com/