Joel Kamnitzer

Geometry and Topology · 2004–2012

A researcher in the Science corpus: 17 papers; trusts 55 researchers and is trusted by 23 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 134 citations into it; #476 of 7,422 by trust here, #257 by citations
• Mathematical Physics — 110 citations into it; #584 of 8,562 by trust here, #288 by citations
• Algebra and Number Theory — 45 citations into it; #1,785 of 2,864 by trust here, #798 by citations
• Discrete Mathematics and Combinatorics — 34 citations into it; #366 of 2,017 by trust here, #306 by citations
• Statistical and Nonlinear Physics — 19 citations into it; #3,033 of 10,127 by trust here, #4,633 by citations
• Computational Theory and Mathematics — 12 citations into it; #6,189 of 12,182 by trust here, #4,696 by citations

Whom Joel Kamnitzer trusts overall

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

1. Jared E. Anderson
2. Mikhail Khovanov
3. Sabin Cautis
4. Dror Bar-Natan
5. S. Gaussent
6. David E. Speyer
7. Raphaël Rouquier
8. P. Seidel
9. D. Huybrechts
10. W. Crawley‐Boevey

Who trusts Joel Kamnitzer overall

1. Sabin Cautis
2. Hoel Queffelec
3. Pierre Baumann
4. Aaron D. Lauda
5. David E. V. Rose
6. Peter Tingley
7. E. Witten
8. Ben Webster
9. Philippe Biane
10. Peter J. McNamara

Papers from Joel Kamnitzer's perspective

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

1. Braid group actions on derived categories of coherent sheaves
2. Fourier-Mukai transforms in algebraic geometry
3. Derived equivalences for symmetric groups and sl2-categorification
4. IDEMPOTENT COMPLETION OF TRIANGULATED CATEGORIES
5. CROSSINGLESS MATCHINGS AND THE COHOMOLOGY OF (n, n) SPRINGER VARIETIES
6. COHERENT SHEAVES AND CATEGORICAL sl2 ACTIONS
7. D-Equivalence and K-Equivalence
8. Irreducible components of varieties of modules
9. Infinite-Dimensional Lie Algebras
10. Cluster algebras I: Foundations

Their papers

• Knot homology via derived categories of coherent sheaves I, sl(2) case (2007) — 128 citations
• Yangians and quantizations of slices in the affine Grassmannian (2012) — 108 citations
• Webs and quantum skew Howe duality (2012) — 249 citations
• Buildings, spiders, and geometric Satake (2011) — 53 citations
• Affine Mirković-Vilonen polytopes (2011) — 83 citations
• Preprojective algebras and MV polytopes (2010) — 49 citations
• Braiding via geometric Lie algebra actions (2010) — 53 citations
• Derived equivalences for cotangent bundles of Grassmannians via categorical 𝔰𝔩2 actions (2009) — 56 citations
• COHERENT SHEAVES AND CATEGORICAL sl2 ACTIONS (2009) — 47 citations
• Categorical geometric skew Howe duality (2009) — 51 citations
• Knot homology via derived categories of coherent sheaves, I: The $\mathfrak{sl}(2)$-case (2008) — 68 citations
• Knot homology via derived categories of coherent sheaves II, $\mathfrak{sl}_{m}$ case (2007) — 95 citations
• Mirkovic-Vilonen cycles and polytopes (2005) — 112 citations
• The crystal structure on the set of Mirkovic-Vilonen polytopes (2005) — 85 citations
• The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points (2005) — 116 citations
• Crystals and coboundary categories (2004) — 119 citations
• The octahedron recurrence and gln crystals (2004) — 47 citations