Research
Areas and Research Interest
*
 Number
Theory
 elementary
and analytic number theory
 diophantine
approximations and diophantine equations
 irrationality
and transcendence
 algebraic
number theory
 geometry
of numbers
 Mathematical
Analysis
 theory
of inequalities
 means
and their inequalities
 convexity
of functions; generalized convexity
 nonlinear
optimization
 special
functions (Euler's gamma function, Rieman's zeta function etc.)
 functional
equations and functional inequalities
 series
 geometry
of Hilbert and Banach spaces
 Geometry
 geometric
inequalities in euclidean plane and space
 geometry
of simplices
 connections
of geometry to number theory, algebra and analysis
 diophantine
geometry
 History
of Mathematics
 history
of mathematical notations
 19th and
20th century developments
 biographies
of mathematicians
 history
of number theory
 history
of mathematical analysis
 history
of geometry
