She has co-authored a number of papers with Paul Fong in modular representation theory and Deligne–Lusztig theory.
Deligne–Lusztig theory (Green function) in the representation theory of finite groups of Lie type.
The Big Bang Theory | Theory of a Deadman | music theory | probability theory | theory | Theory of relativity | theory of relativity | Social learning theory | Game Theory (band) | Game Theory | Conspiracy theory | Music theory | K-theory | AP Music Theory | Piaget's theory of cognitive development | conspiracy theory | Theory of Relativity | Theory | Terror management theory | Invariant theory | information theory | graph theory | Galois theory | Einstein–Cartan theory | Conspiracy Theory with Jesse Ventura | Chaos theory | Terror Management Theory | representation theory | Recapitulation theory | Probability theory |
This theorem is not only the tool for the research of surfaces but also used for the proof of the Weil conjecture by Deligne because it is true on the algebraically closed field.
Deligne showed, in unpublished notes expounded by Conrad, that the condition that S is Noetherian can be replaced by the condition that S is quasi-compact and quasi-separated.
In joint work with George Lusztig, Deligne and Lusztig applied étale cohomology to construct representations of finite groups of Lie type; with Michael Rapoport, Deligne worked on the moduli spaces from the 'fine' arithmetic point of view, with application to modular forms.