France

Germany

France

Germany

Germany

Although he continues teaching, his health is an issue for the remainder of his life

Dirichlet is taught by Ohm

A turning point in his life

At father's insistence, studies law, finance and economics

Gudermann lectures him on elliptical functions

Takes Courses from Moritz Stern and Gauss

Studies under Steiner, Jacobi, Einsenstein, and most closely with Dirichlet

His courses influence modern curriculum

This work became the basis of his theory of complex functions

awarded the prize for his work on waves

Employed by General Foy

Cauchy appointed referee to the papers

never consider for the prize

A precise solution to the problems: given an irreducible equation of prime degree, decide whether or not it is soluble by radicals

This formed the basis of his later, most significant work

Supervised by Gauss, his theories are now called Riemann Surfaces, original but built on Cauchy and Dirichlet's work

Defines Riemann Space, curvature tensor, real space

His work was 60 year ahead of his time, later used by Einstein's general theory of relativity

Considered the zeta function as a complex function

Includes Riemann Hypothesis

Riemann suggested its existance a decade earlier

He would leter be regarded as father of modern anaylis: publishing on periodic functions, functions of real variables, elliptical functions, Albelien functions, converging infinite functions and calculus of variation.