Given the question: Facts: - work institutions: university of copenhagen university of gottingen - birth date: 3 may 1905 - influenced: victor klee r. tyrrell rockafellar - doctoral students: birgit grodal peter scherk troels jrgensen - caption: werner fenchel , 1972 - death date: 24 january 1988 - field: mathematics : geometry optimization - name: moritz werner fenchel - death place: copenhagen , denmark - birth place: berlin , germany - prizes: rockefeller danish academy of sciences and letters -lrb- 1946 -rrb- fellowship -lrb- 1930 -rrb- membership in the royal - known for: convex theorem analysis legendre -- fenchel transformation fenchel 's duality - ethnicity: jewish - citizenship: german - alma mater: university of berlin - residence: germany , denmark , usa - doctoral advisor: ludwig bieberbach - image: werner fenchel.jpeg Based on these bullet points, write a short biography describing the life of werner fenchel .
The answer is:
moritz werner fenchel -lrb- ; 3 may 1905 -- 24 january 1988 -rrb- was a mathematician known for his contributions to geometry and to optimization theory .fenchel established the basic results of convex analysis and nonlinear optimization theory which would , in time , serve as the foundation for nonlinear programming .a german-born jew and early refugee from nazi suppression of intellectuals , fenchel lived most of his life in denmark .fenchel 's monographs and lecture notes are considered influential .