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Broadly I work at the intersection of information theory, statistics and probability

Some key words: measures of information, Renyi entropy, robust statistical inference, distance based inference, large deviations theory, maximum entropy, information geometry.

Recent Work:

• Generalized Fisher-Darmois-Koopman-Pitman Theorem and Rao-Blackwell Type Estimators for Power-Law Distributions (with Atin Gayen), published in IEEE Transactions on Information Theory (2023)

• Are Guessing, Source Coding, and Tasks Partitioning Birds of a Feather? (with Albert Sunny, Ashish Thakre, Ashisha Kumar and G. Dinesh Manohar), published in Entropy (2022)

• Information Geometry and Classical Cramér-Rao Type Inequalities (with KV Mishra), in handbook of Statistics Vol. 45 (2021)

• MA5007: Probability & Statistics (Sep. 2020 - Jan. 2021, Aug-Dec 2021, Aug-Dec 2022, Aug-Dec 2023, Aug-Dec 2024)
• EE5517: Information Theory and Statistics (Jan-May 2022, Jan-May 2023)
• MA1011: Linear Algebra and One-Variable Calculus (Nov. 2021 - Feb. 2022)
• MA2040: Probability, Stochastic Processes and Statistics (July 2018, July 2019, January 2020, Feb-May 2021)
• MA2032: Numerical Analysis (January 2019)
• MA6001: Probability Theory (January 2020)

We are looking for well motivated (that is, doing research in Mathematics is a goal in life) PhD students in the areas of Mathematical Statistics, Information Theory, Information Geometry, and Probability.

Interested candidates are strongly encouraged to get in touch with me by solving the problems (as many as possible) put up in this link and submit them (scanned copy of hand-written one or latexed one) by email to ashokm[at]iitpkd[dot]ac[dot]in.

(Remember that, it is not necessary that you should have answered the questions completely. You can submit partial solutions also. What we would like to see is your efforts to solve the problems.)

Interested candidates are also strongly encouraged to look at some or all of our recent works mentioned under 'Research' above to get an idea of the kind of works that we are doing.

Current Students

PhD:

     1. Satyajit Dhadumia (since August 2021)

      2. Santu Sarkar (since August 2022)

Masters:

     1. Balram Sharma (M.Sc Math, since August 2024)

     4. Vinita Jakhar (M.Sc Math, since August 2024)

Past Students

PhD:

     1. Atin Gayen (2016 - 2022, Title of the thesis: Generalized Maximum Likelihood Estimation on Power-Law Distributions: Projection Theorems, Principle of Sufficiency and Cramer-Rao Bounds)

Masters:

     1. Koushik Bhattacharjee (M.Sc Math, 2022 - 2023)

     2. Shashank Jain Doraya (M.Sc Math, 2022 - 2023)

     3. Milan Chakraborty (MTech Computing and Mathematics, 2022 - 2023)

     4. Santanu Roy (MTech Datascience, 2022 - 2023)

     5. Christo Babu (M.Sc Math, 2021 - 2022)

     6. Kiranmai Guguloth (M.Sc Math, 2021 - 2022)

     7. Shree Ganesha Sharma M S (M.Tech Data Science, 2020 - 2022)

     8. Ajesh Mon R (M.Tech Data Science, 2020 - 2022)

     9. Gaurav Kandpal (M.Sc Math, 2020 - 2022)

Other Students:

     1. Vishnu Mohanan (Summer Intern, CUSAT, Kerala, June 2019)

     2. Ashish Thakre (M.Sc. Mathematics at IIT Indore, 2016 - 2018)

     3. Shubham Thakur (Summer Intern, IIT Guwahati, June 2017)

     4. Manikandan C. (June 2018 - October 2020)