Research Interest / Guidance

My primary research interest is in the area of topolgy.Currently I am focusing on Topological Graph Theory.I envision my research to span across some interrelated areas of topology and graphs. In my career I have been guiding the projects of both M.Sc. and B.Sc. students since 2013-15.

M.Sc. Projects

M.Sc Projects (Regular Students)

Sl.No.	Dissertation Title	Year
1.	Semi Group and Monoid.	2015
2.	A Study on Matroid.	2015
3.	A Study on Regular Perturbation Problem.	2015
4.	A Study on Valuation Theory.	2016
5.	Monotone Operators and Extended Real-Valued Convex Functions.	2016
6.	Charecteristics of Planar Graphs	2016
7.	Category and Functors	2016
8.	A Study on Knot Theory	2016
9.	Unbounded Operators on Hilbert Space	2017
10.	A Study on Perturbation Techniques	2017
11.	Fuzzy Topology	2017
12.	Cryptography and Lucas Numbers	2017
13.	Affine Spaces	2018
14.	Polya’s Enumeration Theorem	2018
15.	Study on Soft Normed Linear Spaces	2018
16.	Domination in Graphs	2018
17.	Study on Fuzzy Graphs	2018
18.	A Study on Fibre Bundles	2019
19.	A Study on Modules with Chain Conditions	2019
20.	A Study on Graceful Labeling	2019
21.	Diophantine Approximation and Application	2019
22.	Representation Theory	2019
23.	Prime Number Theorem	2019
24.	Theory of Ideal in Ternary Semi Group	2020
25.	Tensor Norm	2020
26.	A Study on B- Algebras	2020
27.	Introduction to Fuzzy Set Decision Making and Project Evaluation	2020
28.	Manifolds	2020
29.	Introduction to Bilinear Forms	2020

M.Sc Projects
( School of Distance Education, University of Kerala)

Sl.No.	Dissertation Title	Institution
1.	Knot Theory	SDE, University of Kerala
2.	A Study on Integral Equations	SDE, University of Kerala
3.	Fixed Point Theorem and it’s Applications	SDE, University of Kerala
4.	Boolean Algebras of Projections	SDE, University of Kerala
5.	Application of Graph Theory in Human Life	SDE, University of Kerala
6.	Singular Value Representaion of Compact Operators	SDE, University of Kerala
7.	Galois Theory for Finite Field	SDE, University of Kerala
8.	The Topology on Matrix Groups	SDE, University of Kerala

B.Sc. Projects

Sl.No.	Dissertation Title	Year
1.	A Study on Rouche’s Theorem	2013
2.	A Study on Cantor Set	2013
3.	A Study on Metric Spaces	2014
4.	A Study on Inner Product Space and Hilbert Space	2016
5.	Normed Linear Spaces	2018
6.	A Study on Vector Space	2018
7.	A Study on Linear Programming	2018
8.	A Study on Hilbert Spaces	2019
9.	A Study on Banach Spaces	2019
10.	Measure on The Real Line	2019
11.	p-Group and Sylom Theorems	2020
12.	Numerical Solution of Partial Differential Equations	2020
13.	A Study on Matching in Graphs	2020