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Prof. Kalyan Barman

Assistant Professor Gr-II

Department of Mathematics

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Information

Room No: ALC-111 +91-870-246 barmankalyan@nitw.ac.in https://sites.google.com/iitb.ac.in/barmankalyan/home Bio Sketch

    Key Notes

    • Journal(s): 5

    5

    PUBLICATIONS

    1

    PROJECT

    Research Areas

    Infinitely divisible distributions
    Malliavin Calculus
    Probability Approximations
    Rate of Convergence for Non-Central Limit Theorems
    Stein's Method
    EDUCATION QUALIFICATION
    Degree Institute Year
    Doctor of Philosophy IIT Madras 2023
    Master of Science NIT Rourkela 2018
    COURSES HANDLED
    Course L-T-P Credit Degree Level
    Mathematical Foundations for Machine Learning(MA1M01) 3-0-0 3 UG
    Statistics and Probability(MAB302) 3-1-0 4 UG
    Mathematical Finance(MAB363) 3-1-0 4 UG
    Integral and Vector Calculus & Laplace and Fourier Transforms(MA1164) 3-0-0 3 UG
    Integral Calculus and Transforms(MA187) 3-0-0 3 UG
    Mathematics with Applications in Finance(MAM06) 3-0-0 3 UG
    Integral and Vector Calculus, Laplace Transforms(MA1162) 3-0-0 3 UG
    RESEARCH IDs
    Google Scholar
    Google Scholar ID
    PUBLICATIONS
    Journal(s)
    Covariance Identities and Variance Bounds for Infinitely Divisible Random Variables and Their Applications, By Kalyan Barman, Neelesh S Upadhye and Palaniappan Vellaisamy, IMPA, ALEA - Latin American Journal of Probability and Mathematical Statistics , vol.22, pp.389-413, 2025
    Approximations Related to Tempered Stable Distributions, By Kalyan Barman, Neelesh S Upadhye and Palaniappan Vellaisamy, VTeX, Modern Stochastics: Theory and Applications, vol.12, pp.325–346, 2025
    On Stein Factors for Laplace Approximation and Their Application to Random Sums, By Kalyan Barman and Neelesh S Upadhye, Elsevier, Statistics & Probability Letters, vol.206, pp.109996, 2024
    On Brascamp-Lieb and Poincare Type Inequalities for Generalized Tempered Stable Distribution, By Kalyan Barman and Neelesh S Upadhye, Elsevier, Statistics & Probability Letters, vol.189, pp.109600, 2022
    A Unified Approach to Stein’s Method for Stable Distributions, By Neelesh S Upadhye and Kalyan Barman, IMS, Probability Surveys, vol.19, pp.533-589, 2022
    PROJECT / CONSULTANCY
    Research Seed Grant
    Role: Principal Investigator
    Type: Research
    Sponsor: NIT Warangal
    Project Cost (INR): 500000
    Date of Commencement: 10-12-2025  
    Duration: 12 Months
    Status: Ongoing
    RESEARCH FELLOWS / PhD STUDENTS
    CONFERENCE / WORKSHOP / SYMPOSIUM / SHORT TERM COURSE / FACULTY DEVELOPMENT PROGRAMME
    AWARDS AND ACCOLADES
    2025
    Research Fellowship (PDF) from NUS
    RA-II (PDF) from IISER B
    2023
    PDEF from IIT Madras
    Institute PDF from IIT Bombay
    ADDITIONAL RESPONSIBILITIES
    •  Professor in Charge, Departmental Lectures and Seminars (Continuing from September, 2025)
     Last updated on March 25, 2026