Joseph Lipman
E884931
Joseph Lipman is an American mathematician known for his influential work in algebraic geometry and commutative algebra, particularly in the development of Grothendieck duality theory and the study of singularities.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Joseph Lipman canonical | 1 |
Statements (38)
| Predicate | Object |
|---|---|
| instanceOf |
commutative algebraist
ⓘ
human ⓘ mathematician ⓘ |
| countryOfCitizenship | United States of America ⓘ |
| fieldOfWork |
Grothendieck duality theory
NERFINISHED
ⓘ
algebraic geometry ⓘ commutative algebra ⓘ singularity theory ⓘ |
| gender | male ⓘ |
| hasAcademicDiscipline |
mathematics
ⓘ
pure mathematics ⓘ |
| hasResearchArea |
adjoint ideals
ⓘ
birational geometry ⓘ coherent duality ⓘ dualizing complexes ⓘ local algebra ⓘ rational singularities ⓘ resolution of singularities ⓘ two-dimensional schemes ⓘ |
| influencedBy |
Alexander Grothendieck
NERFINISHED
ⓘ
Jean-Pierre Serre NERFINISHED ⓘ Oscar Zariski NERFINISHED ⓘ |
| knownFor |
applications of commutative algebra to algebraic geometry
ⓘ
development of Grothendieck duality theory ⓘ study of singularities in algebraic geometry ⓘ |
| languageOfWorkOrName | English ⓘ |
| notableContribution |
bridging commutative algebra and algebraic geometry via duality
ⓘ
development of tools for studying canonical and rational singularities ⓘ formulation and clarification of Grothendieck duality in the language of schemes ⓘ results on the behavior of singularities under birational morphisms ⓘ techniques for resolving singularities in low-dimensional schemes ⓘ |
| notableWork |
contributions to dualizing complexes in algebraic geometry
ⓘ
research on desingularization of two-dimensional schemes ⓘ results on rational singularities ⓘ work on Grothendieck duality for schemes ⓘ work on adjoints of ideals in commutative algebra ⓘ work on resolution of singularities in algebraic geometry ⓘ |
| occupation | university professor ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.