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In other work he looked at problems relating properties of algebraic number fields to algebraic K-theory.
Back in Berlin he worked on his doctoral thesis on algebraic number theory under Dirichlet's supervision.
Does Rijndael's algebraic formulation make the algorithm easier to crack than other cryptosystems not designed this way?
Remak made important contributions to algebraic number theory.
Herbrand also worked on field theory considering abelian extensions of algebraic number fields.
Even his analytical work was guided by algebraic and linear algebraic methods.
Bromwich also made useful contributions to quadratic and bilinear forms and many consider his algebraic work to be his finest.
He also published results on algebras which were fundamental in the study of algebraic number fields.
In 1874 he submitted this doctoral dissertation on algebraic integers and was awarded the degree.
He tried, with great success, to show why the introduction of algebraic notation was necessary and inevitable.
His work in algebraic number theory led him to study the quaternions and generalisations such as Clifford algebras.
This gave powerful results such as a purely algebraic proof of the Riemann Roch theorem.
Albanese's research involved examining curves on algebraic surfaces and the genus of an algebraic variety.
It also meant that Wiles' earlier work in algebraic number theory would be helpful, and that he would probably generate some interesting problems-whether or not he found a proof.
According to Rotman, the justification of homological algebra is that it eventually proved useful in solving purely algebraic problems.
The papers look at algebraic curves, the Riemann Roch theorem and algebraic polynomials.
Betti extended and gave proofs relating to the algebraic concepts of Galois theory.
Fermat preferred the algebraic techniques that he used to such devastating effect in number theory.
Baker, while on a visit to Göttingen, was inspired by Klein to study algebraic function theory.
It dealt with the sum of integrals of a given algebraic function.