- Ph.D Mathematics from Bharathiar University (2008-2012)
- M.Phil Mathematics from Bharathiar University (2006-2007)
- M.Sc Mathematics from Calicut University (2002-2004)

- Assistant Professor (on contract), Cochin University of Science and Technology, from December 2017onwards.
- Assistant Professor, Ahalia School of Engineering and Technology( June 2012 to August 2013)

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

- Operator Theory and Functional Analysis

- T. Prasad, Spectral properties of some extensions of isometric operators, Annals of Functional Analysis, DOI. 10.1007/s43034-019-00043-y.
- S. Mecheri and T. Prasad, Classess of operators related to isometries, Advances in Operator Theory, DOI: 10.1007/s43036-019-00029-6
- 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), 293–299.
- A. Bachir, T. Prasad, Fuglede-Putnam theorem for (α, β)- normal operators, Rend. Circ. Mat. Palermo II. Ser (2019), DOI. 10.1007/s12215-019-00454-9
- S. Mecheri and T. Prasad, Analytic extension of totally polynomially posinormal operators, Math. Report (accepted)
- 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, Weyl's theorem and Putnam’s inequality for p-wA(s, t) operators, Acta Sci. Math. (Szeged), 84 (2018), 573-589.
- T. Prasad, Class p-wA(s, t) composition operators, Asian-Europian J. Math, Vol. 13, No. 1 (2020) 2050086 (10 pages).
- T. Prasad, M. Cho, M.H.M Rashid, K. Tanahashi and A. Uchiyama, class p-wA(s, t) operators and range kernel orthogonality, Scientiae Mathematicae Japonicae, 82, No.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. Cuza Iasi. Mat. (N.S.) DOI: 10.2478/aicu-2014-0049
- S.Mecheri and T.Prasad, On n-quasi-m-isometric operators, Asian-Eur. J. Math, 9(4), (2016), 8 Pages.
- 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.
- D.Senthilkumar, P. Chandrakala and T.Prasad, Tensor Product Operators Induce Dynamical System on Weighted Locally Convex Space, Jordan Journal of Math and Stat (JJMS), 6 (2013) 169-181.
- D.Senthilkumar and T.Prasad, Riesz Projections and Weyl’s theorem for hereditarily absolute −(p, r)− paranormal operators, Bull. Math. Anal. Appl, 2 (2010) 100-108.
- D.Senthilkumar and S.M Sherin Joy and T.Prasad, Generalised class Q* operators, Int. J. Appl. Math, 24(2011) 81-87.
- K.Tanahashi, T. Prasad and A. Uchiyama, Quasinormality and subscalarity of class p − wA(s, t) operators, Funct. Anal. Approx. Comput, 9(1),61-68, 2017.
- T. Prasad and K.Tanahashi, On class p-wA(s, t) operators, Funct. Anal. Approx. Comput, 6(2)(2014), 39-42.

- MAM-2401 Differential Geometry
- MAM-2429 Spectral Theory-I

- M.Sc. Courses
- ,
- MAM-2401- Differential Geometry
- MAM-2201- Algebraic structures
- MAM-2102-Real Analysis
- MAM-2301-Topics in Applied Mathematics
- MAM-2204-Probability Theory
- MAM-2104-Ordinary Differentil Equations
- MAM 1101-Calculus I ( for Integrated M.Sc)