Statements (43)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:theorem
|
| gptkbp:associated_with |
the concept of modularity
|
| gptkbp:designedBy |
a connection between elliptic curves and modular forms
|
| gptkbp:established |
gptkb:Andrew_Wiles
1994 |
| gptkbp:expansion |
higher-dimensional varieties
|
| gptkbp:has_a |
the theory of modular forms
|
| gptkbp:has_a_focus_on |
arithmetic geometry
|
| gptkbp:has_implications_for |
the theory of L-functions
the understanding of elliptic curves |
| gptkbp:hasPrograms |
cryptography
|
| https://www.w3.org/2000/01/rdf-schema#label |
Shimura-Taniyama conjecture
|
| gptkbp:influenced |
the development of number theory
|
| gptkbp:involves |
algebraic geometry
number theory |
| gptkbp:is_a_dish_that |
has historical significance
has been influential in mathematics has been proven in special cases has connections to algebraic topology has led to further developments in mathematics the relationship between two mathematical objects has been influential in the field of number theory. has_implications_for_the_study_of_Diophantine_equations |
| gptkbp:is_a_subject_of |
numerous research papers
modern number theory active research the field of arithmetic geometry |
| gptkbp:is_designed_to |
the 1950s
|
| gptkbp:is_essential_for |
the study of modular forms
the study of elliptic curves the_proof_of_Fermat's_Last_Theorem |
| gptkbp:is_involved_in |
gptkb:Langlands_program
|
| gptkbp:is_studied_in |
mathematics
|
| gptkbp:is_used_in |
mathematical literature
|
| gptkbp:isConnectedTo |
the theory of Galois representations
the theory of abelian varieties |
| gptkbp:previousName |
gptkb:Goro_Shimura
gptkb:Yutaka_Taniyama Taniyama-Shimura-Weil_conjecture |
| gptkbp:related_to |
gptkb:Fermat's_Last_Theorem
the study of rational points on curves the modularity theorem the study of modular forms over finite fields |