Ian Shipman

Geometry and Topology · 2010–2013

A researcher in the Science corpus: 2 papers; trusts 5 researchers and is trusted by 3 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 16 citations into it; #4,803 of 7,422 by trust here, #4,201 by citations
• Mathematical Physics — 14 citations into it; #5,715 of 8,562 by trust here, #4,785 by citations

Whom Ian Shipman trusts overall

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

1. Dmitri Orlov
2. Kevin Lin
3. M. Umut Isik
4. D. Pomerleano
5. L. Positselski
6. A. Bondal

Who trusts Ian Shipman overall

1. Daniel Halpern-Leistner
2. Mark Gross
3. M. Umut Isik
4. L. Katzarkov

Papers from Ian Shipman's perspective

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

1. Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
2. Global matrix factorizations
3. Formal completions and idempotent completions of triangulated categories of singularities
4. Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities
5. Equivalence of the Derived Category of a Variety with a Singularity Category
6. Triangulated categories of singularities and D-branes in Landau-Ginzburg models
7. Dimensions of triangulated categories
8. More about vanishing cycles and mutation
9. Thom-Sebastiani & Duality for Matrix Factorizations
10. Generators and representability of functors in commutative and noncommutative geometry

Their papers

• Autoequivalences of derived categories via geometric invariant theory (2013) — 64 citations
• A geometric approach to Orlov’s theorem (2010) — 97 citations