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Dr. Senthil Raani KS

Associate Professor

Mathematical Sciences

raani@iiserbpr.ac.in

+91 680 2227764

Personal Website

   

Additional Responsibility

  • Associate Dean, Student Affairs

Publications All

Academic Background

  • Ph.D., Mathematics, Indian Institute of Science (IISc), Bangalore  Fellowship through CSIR JRF-SRF

  • MSc, MPhil (Mathematics), Ayya Nadar Janaki Ammal College, Sivakasi

Professional Experience 

  • 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)

Research Interests

  • 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;

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

PhD Students:

 (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.
Usually there will be two calls for PhD students per year from our academic office (
https://new.iiserbpr.ac.in/home/announcements). The shortlisting criteria for PhD admission depends on the overall data (rank of NET/JRF/GATE, secured NBHM/INSPIRE) we receive from your applications. Further, the Selection is based on the interview (written and/or oral) conducted by the departmental committee. Hence if shortlisted, your interview may be based on all or some of the following topics: Group Theory, Linear Algebra, Real analysis, Metric Spaces, point set topology and/or based on your course work submitted in the application additional topics may be from Measure theory, Ring & Field Theory, Functional Analysis, Fourier Analysis). The department committee's decision is final.

(Phd positions available) (January 2025 admission interviews are over and the results will be updated by December 10, 2024.)

Post Doctoral Fellows:

  • Dr. Rajesh Kumar Singh (September 2023 - June 2024)
  • Dr.Manish Chaurasia (September 2024 - )
  • Dr. Aswin Govindan (September 2024 - )

  • MS-Thesis Students:


    NAMEPERIODSTATUSTOPIC
    Mr. Mayank AgarwalMay 2024 -Ongoing (co-mentored)Algorithmic Graph Theory
    Mr. Saptarshi GoshMay 2024 - OngoingSum sets
    Mr. S. SantoshMay 2023 - April 2024Graduated (Co-mentored)Independence of Continuum Hypothesis, and some applications of Martin's axiom
    Mr. Milap Kumar RajgorMay 2023 - April 2024Graduated (Co-mentored)The Bergman Spaces and the Bergman Kernels
    Mr. Neehar VermaMay 2022 - April 2023Graduated (Co-mentored)Error distance distribution of Projective Reed-Solomon Codes from the perspective of Finite Geometry
    Mr. Animesh NayakMay 2022 - April 2023GraduatedFractal dimension and density of s-sets
    Mr. Pratik SinhaMay 2020 - April 2021GraduatedSteiner 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:


    NamePeriodSponsors
    Mr. Ankan GoshJanuary - July 2024 UGC
    Ms. Aratrika PandeyAugust 2020 - January 2023CSIR
    Mr. Masud HaasanAugust 2018 - July 2020
    CSIR




    Key Publications

    Contact Details

    Full Name

    Senthil Raani KS


    Email

    raani@iiserbpr.ac.in


    Contact

    +91 680 2227764


    Address

    IISER Berhampur


    Personal Website

    https://senthilraani.wordpress.com/