Post doctoral research

• Institute Post Doctoral fellow, Indian Institute of Science Education and Research- Trivandrum,India, August 2015 to November 2017.
• Post Doctoral fellow, The Institute of Mathematical Sciences, Chennai, India, September 2013 to August 2015.

Ph.D

• Ph.D Mathematics ( Bharathiar University, 2008-2012)

Masters

• M.Phil Mathematics ( Bharathiar University, 2006-2007)
• M.Sc Mathematics ( Calicut University, 2002-2004)
• Bachelor of Education (B.Ed ) (Calicut University, 2006)

Research Area

Operator Theory, Functional Analysis

Teaching Experience

• Assistant Professor, Department of Mathematics, University of Calicut,Kerala, India. February-2021 -till date
• Assistant Professor, Cochin University of Science and Technology, Cochin, India, December 2017-December 2020.
• Assistant Professor, Ahalia School of Engineering and Technology, Palakkad, Kerala India, June2012 to August 2013.

Research Experience

• Post doctoral fellow - IISER Trivandrum - Aug 2015 to Nov 2017
• Post Doctoral fellow - IMSc, Chennai, Sep 2013 to Aug 2015

Research Grants

• Mathematical Research Impact Centric Support (MATRICS) by DST-SERB - 2022-2025 (Completed)
• Seed Money Minor Research project by University of Calicut (Completed)

Selected Publications

• R.E Curto and T. Prasad, Classes of operators related to subnormal operators, (RACSAM, to appear)
• M. Abhinand, R. E. Curto, I. S. Hwang, W. Y. Lee and T. Prasad, Subnormal block Toeplitz operators, Journal d’Analyse Math´ematique, 155 (2025), 485–500
• Simi Thomas, T. Prasad and Shery Fernandez, Weyl Type Theorems for Hypercyclic, Supercyclic, and Toeplitz Operators 11, 2026, article 11
• Sophiya Dharan, T. Prasad, P. Ramya and M.H.M Rashid, k-quasi n-power posinormal and Lambert Operators Rendiconti del Circolo Matematico di Palermo Series 2 (accepted)
• V. Devadas, E Shine lal and T. Prasad, Extension of m-isometric weighted composition operators on directed graphs, Advances in Operator Theory (2025) 10:57 doi:10.1007/s43036- 025-00447-9
• T. Prasad, E. Shine Lal and P. Ramya, Asymmetric Fuglede - Putnam theorem for unbounded M - hyponormal operators, Advances in Operator Theory, 2023
• T. Prasad, Subscalarity for extension of totally polynomially, Positivity, 2023
• T. Prasad, Simi Thomas and Shery Fernandez , Stability of property (UWE) under compactperturbations , Rend. Circ. Mat. Palermo Series 2 (2023)
• M.H.M Rashid, T. Prasad and A. Uchiyama, Spectral properties for classes of operators related to perinormal operators , Palestene J Math, 12(3)(2023) , 484-511.
• E. Shine Lal, P. Ramya and T. Prasad, Some classes of operators related to (m, n)-paranormal and (m, n)*-paranormal operators, Commun. Korean Math. Soc. 38 (2023),No. 4, pp. 1075–1090
• E. Shine Lal, T.Prasad and P. Ramya, On the class of totally polynomially posinormal operators, Aust. J Math Anal Appl, Vol. 20 (2023)
• M. Cho, T.Prasad, K. Tanahashi,M. H.M. Rashid, and A. Uchiyama, Spectrum is continuous for class p−wA(s,t) operators, Filomat,36(8)(2022).
• S. Mecheri and T. Prasad, Analytic extension of totally polynomially posinormal operators, Math.Report, 23,(2021),359-372
• S. Mecheri and T. Prasad, Fuglede-Putnam type theorem for extension of M-hyponormal operators, Ukr. Math. J, 2022.
• M.H.M Rashid and T. Prasad, Weyl type theorems for algebraically class p-wA(s,t) operators, Facta Universitatis, Series:Mathematics and Informatics, 36, (2021), 575 - 584
• T. Prasad, class p−wA(s,t) operators and invariant subspaces, Acta Sci. Math. (Szeged), 86:3-4(2020), 671-679
• T. Prasad, Spectral properties of some extensions of isometric operators, Annals of Functional Analysis, 11, (2020), 626-633.
• T. Prasad, Classp-wA(s,t) composition operators, Asian-Europian J. Math, 13,(2020) 2050086 (10pages).
• S. Mecheri and T. Prasad, Classess of operators related to isometries, Advances in Operator Theory, (2020), 382-392.
• T. Prasad,Coposinormal composition operators on H2, J. Math. Ext 16, No. 2, (2022) (5)1-10
• S. Mecheri and T. Prasad, Triangular-n-isometric operators, Linear and Multilinear Algebra, 67(2019), 1132-1145.
• M. Cho, T. Prasad, M.H.M Rashid, K. Tanahashi and A. Uchiyama, Fuglede-Putnam theorem and quasisimilarity of class p-wA(s,t) operators,Operator and Matrices, 13(1) (2019).
• A. Bachir and T. Prasad, Fuglede-Putnam theorem for (α,β) normal operators, Rend. Circ. Mat.Palermo. 69, (2020),1243-1249.
• M. Cho, J.E. Lee, T. Prasad and K. Tanahashi, Complex isosymmetric operators, Adv. Oper.Theory, 3 (2018), no. 3, 620-631.
• M.H.M Rashid, M. Cho, T. Prasad, K. Tanahashi and A. Uchiyama, Weyls theorem and Putnam’sinequality for p-wA(s,t) operators, Acta Sci. Math. (Szeged)84 (2018), 573-589.
• T. Prasad, M. Cho, M.H.M Rashid, K. Tanahashi and A. Uchiyama, classp-wA(s,t) operators and range kernel orthogonality, Scientiae Mathematicae Japonicae82(1) (2019),45-55.
• M.H.M Rashid and T.Prasad, Stability of Versions of Weyl type theorems under tensor product, Ukr. Math. J 68(4)(2016) 612-624.
• M.H.M Rashid and T.Prasad, Property (Bgw) and Perturbations, An. Stiint. Univ. Al. I. CuzaIasi. Mat. (N.S.)DOI: 10.2478/aicu-2014-0049
• S.Mecheri and T.Prasad, On n-quasi-m-isometric operators, Asian-Eur. J. Math9(4), (2016), 8Pages.
• M.H.M Rashid and T. Prasad, Weyl type theorems for algebraically class HNP operators. Ann.Funct. Anal, 6(3) (2015), 262-273.
• M.H.M Rashid and T. Prasad, Property (Sw) for bounded linear operators, Asian-Eur. J. Math,08(1) (2015).
• M.H.M Rashid and T.Prasad, The stability of property(gw) under compact perturbation, Acta Mathematica Vietnamica, 39 (2014), 325-336.
• M.H.M Rashid and T.Prasad, Variations of Weyl type theorems, Ann. Funct. Anal, 4(1) (2013),40-52.
• M.H.M Rashid and T.Prasad, Property (Bb) and Tensor Product, Filomat, 27(7)(2013), 1297-1303.
• K.Tanahashi, T. Prasad and A. Uchiyama, Quasinormality and subscalarity of class p−wA(s,t) operators, Funct. Anal. Approx. Comput, 9(1),(2017),61-68.
• T. Prasad and K.Tanahashi, On classp-wA(s,t) operators, Funct. Anal. Approx. Comput, 6(2)(2014), 39-42.

Articles submitted for Publication

• M. Abhinand, R. E. Curto, I. S. Hwang, W. Y. Lee and T. Prasad, Subnormal and hyponor- mal Toeplitz operators with operator-valued symbols, (Submitted).
• M. Abhinanad, Sameer Chavan, S. S. Dharan, T. Prasad, Cesaro Operators on Rooted directed trees, (Submitted)
• M. Abhinand, R. E. Curto and T. Prasad, Hyponormal block Toeplitz operators with finite rank self-commutators, (Submitted).
• Simi Thomas, T. Prasad and Shery Fernandez, Property (UWE) and Consistent invertibility (submitted for publication)

Invited Talks

• Invited talk on " Operators whose powers are subnormal operators" International Conference on Operator and Spectral Theory, St Alosyius College, Thrissur, October 16-18, 2025
• Plenary talk on " The moment problem" in  MESMAC International Conference held at MES Mampad College, Malappuram, Kerala, January 13th - 15th 2026
• Invited talk on ” Theory of some classes of operators related to subnormal operators ”2024 International Workshop on Function Theory , Operator Theory and Applications,Korea Institute for Advanced Study, Korea June 20-22, 2024
• Delivered a talk entitled ”Some classes of operators related to subnormal operators” in IWOTA 2023, Helsiniki University, Finland, July 29- Auguest 4, 2023
• Invited talk on ”Generalization of p-hyponormal operators and invariant subspaces”, International Conference on Algebra, Analysis and Applications, MIT Manipal, January, 6-8, 2023.
• Talk on ”Introduction to Calculus”, PSMO College, Kerala, Feb 2023.
• Prof. ARP endowment lecture on “ Invariant Subspaces” at Govt. College Chittur,October 11, 2019.
• A talk on ” Linear algebra” S. N College Alathur, September 17, 2019.
• Delivered a talk on “Variation of Weyl type theoren and supercyclic/hypercyclic operators”at The Institute of Mathematical Sciences., India on July 15, 2013.
• Delivered a talk on “Applications of Mathematical Analysis” at St. Pauls Arts and Sciencefor Women, Coimbatore on 23 -2-2013

I have been handling classes for PG students and integrated M.Sc students as Assistant Professor in Department of Mathematics, University of Calicut since February 2021 and as Assistant Professor in Cochin University of Science and Technology (2017-2020), Cochin, Kerala.

M Sc courses taught:.

• Functional Analysis
• Complex Analysis,
• Differential Geometry,
• Algebraic structures,
• Real Analysis,
• Topics in Applied Mathematics,
• ProbabilityTheory,
• Ordinary Differential Equations,
• Spectral theory,
• Measure and Integration 
• Functions of several variables.

Currently Teaching

• Real Analysis,
• Advanced Functional Analysis
• Advanced complex analysis

PhD Guidance

• M. Abhinand (Awarded)
• Sophiya S. Dharan (Pre submission completed)

M.Sc Guidance (Ongoing) : 3

M.Sc Projects (Completed) : 18

Internship guidance (Completed) : 4