The theory of automorphic forms and their associated L-functions is one of the central research areas in modern number theory, linking number theory, arithmetic geometry, representation theory, and complex analysis in many profound ways.
Indeed, the study of fixed point results in PM spaces is one of the most active research areas in fixed point theory.
The study of expansive mappings is a very interesting research area in fixed point theory (see [19, 21 23]).
Define D s : X 2 → [ 0, ∞ ) by D s ( x, y ) = | 2 D ( x, y ) − D ( x, x ) − D ( y, y ) |. Clearly, D s ( x, x ) = 0 for all x ∈ X. The study of expansive mappings is a very interesting research area in fixed point theory (see, e.g., [14 21]).
Since higher algebra is becoming essential in several research areas like deformation theory, algebraic geometry, representation theory, differential geometry, algebraic combinatorics, and mathematical physics, the book can also be used as a reference work by researchers.
Stahnke's project focuses on how teenagers become committed to anti-racist activism, a research area in which old theories of individual learning and background influences prevail.
Hilbert C ∗ -modules are very useful in the following research areas: operator K-theory, index theory for operator-valued conditional expectations, group representation theory, the theory of A W ∗ -algebras, noncommutative geometry, and others.
Mathematical systems theory is a vibrant research area in its own right.
The theory of warped product manifolds is an emerging research area in differential geometry.
Primitive words, or strings over a finite alphabet that cannot be written as a power of another string, play an important role in numerous research areas including formal language theory, coding theory, and combinatorics on words.
And there are plenty of opportunities to interact with, and learn from, fellow researchers in different research areas, such as string theory, quantum gravity, cosmology, and quantum computing.
