• Snehasish Bose, P. Muthukumar and Jaydeb Sarkar, Beurling type invariant subspaces of composition operators, J. Operator Theory, 86 (2), 2021, 425--438.

• P. Muthukumar and S. Ponnusamy, Composition operators on Hardy spaces of the homogenous rooted trees, Monatsh. Math. 192 (3), 2020, 721--743.

• P. Muthukumar and S. Ponnusamy, Weighted composition operators on the class of subordinate functions, Rocky Mountain J. Math. 48 (6), 2018, 2055--2068.

• P. Muthukumar, S. Ponnusamy and Herve Queffelec, Estimate for norm of a composition operator on the Hardy-Dirichlet space, Integral Equations and Operator Theory 90 (1), 2018, Art. 11, 12pp.

• P. Muthukumar and S. Ponnusamy, Composition operators on the discrete Hardy space on homogenous trees, Bull. Malays. Math. Sci. Soc. 40 (4), 2017, 1801--1815.

• P. Muthukumar and S. Ponnusamy, Discrete analogue of generalized Hardy spaces and multiplication operators on homogenous trees, Anal. Math. Phys. 7 (3), 2017, 267--283.

• P. K. Jain Award by Indian Mathematical Society in 2021

• Laureates of the CIMPA-CRM programme in 2019

• CSIR-Shyama Prasad Mukherjee (SPM) Fellowship in 2012

• Prof. L. K. Chetty Memorial Endowment Prize in 2010

• Proficiency Prize of Madurai Kamaraj University in 2010

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IIT Kanpur, Kanpur 208016.

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Email: muthu[AT]iitk.ac.in