peter roquette born october 8 1927 in knigsberg is a german mathematician working in algebraic geometry algebra and number theory roquette studied in erlangen berlin and hamburg in 1951 he defended a dissertation at the university of hamburg under helmut hasse providing a new proof of the riemann hypothesis for algebraic function fields over a finite field the first proof was given by andr weil in 1940 in 19511952 he was an assistant at the mathematical research institute at oberwolfach and from 1952 to 1954 at the university of munich from 1954 to 1956 he worked at the institute for advanced study in princeton in 1954 he was privatdozent at munich and from 1956 to 1959 he worked in the same position at hamburg in 1959 he became an associate professor at the university of saarbrucken and in the same year at the university of tbingen from 1967 he was professor at the ruprechtkarlsuniversity of heidelberg where he retired in 1996 roquette worked on number and function fields and especially local padic fields he applied the methods of model theory nonstandard arithmetic in number theory joint with abraham robinson with whom he worked on mahlers theorem on the finiteness of integral points on a curve of genus g 0 using nonstandard methods he authored a number of works on the history of mathematics in particular on the schools of helmut hasse and emmy noether in 1975 roquette was coeditor of the collected essays by helmut hasse since 1978 roquette is member of the heidelberg academy of sciences and since 1985 the german academy of sciences leopoldina he has an honorary doctorate from the university of duisburgessen and is honorary member of the mathematical society of hamburg in 1958 he was an invited speaker at the international congress of mathematicians in edinburgh on the topic of some fundamental theorems on abelian function fields his doctoral students include horstgnter zimmer wulfdieter geyer bohuslav divis gerhard frey volker weispfenning henning stichtenoth rainer weiss auer florian pop and franz lemmermeyer