David Geraghty

Geometry and Topology · 2009–2018

A researcher in the Science corpus: 10 papers; trusts 28 researchers and is trusted by 26 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 136 citations into it; #508 of 7,422 by trust here, #282 by citations
• Mathematical Physics — 135 citations into it; #558 of 8,562 by trust here, #313 by citations
• Algebra and Number Theory — 37 citations into it; #712 of 2,864 by trust here, #457 by citations
• Computational Theory and Mathematics — 8 citations into it
• Discrete Mathematics and Combinatorics — 8 citations into it; #545 of 2,017 by trust here, #471 by citations

Whom David Geraghty trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. T. Gee
2. Michael Harris
3. Richard Taylor
4. Thomas Barnet-Lamb
5. M. Kisin
6. J. Thorne
7. Chandrashekhar B. Khare
8. Kevin Buzzard
9. L. Clozel
10. Ana Caraiani

Who trusts David Geraghty overall

1. T. Gee
2. Thomas Barnet-Lamb
3. J. Thorne
4. Frank Calegari
5. M. Emerton
6. C. Johansson
7. James Newton
8. Lue Pan
9. P. Allen
10. Chandrashekhar B. Khare

Papers from David Geraghty's perspective

Ordered by how strongly the researchers David Geraghty trusts endorse each paper. Same corpus, a different order for every researcher.

1. The Geometry and Cohomology of Some Simple Shimura Varieties.
2. Automorphic lifts of prescribed types
3. Local-global compatibility and the action of monodromy on nearby cycles
4. COMPANION FORMS FOR UNITARY AND SYMPLECTIC GROUPS
5. The algebra ℋ
6. Lattices in the cohomology of Shimura curves
7. Banach space representations and Iwasawa theory
8. First steps towards p-adic Langlands functoriality
9. A geometric perspective on the Breuil–Mézard conjecture (Journal of the Institute of Mathematics of Jussieu)
10. On Serre's conjecture for 2-dimensional mod p representations of Gal( Q=Q)

Their papers

• Modularity lifting theorems for ordinary Galois representations (2018) — 66 citations
• Patching and the p-adic local Langlands correspondence (2013) — 116 citations
• Modularity lifting beyond the Taylor–Wiles method (2012) — 109 citations
• A Family of Calabi–Yau Varieties and Potential Automorphy II (2011) — 264 citations
• Serre weights for rank two unitary groups (2011) — 65 citations
• Local-global compatibility for $l=p$, II (2011) — 50 citations
• COMPANION FORMS FOR UNITARY AND SYMPLECTIC GROUPS (2010) — 54 citations
• Congruences between Hilbert modular forms: constructing ordinary lifts (2010) — 54 citations
• Potential automorphy and change of weight (2010) — 319 citations
• The Sato-Tate conjecture for Hilbert modular forms (2009) — 104 citations