M. Kapranov

Geometry and Topology · 2000–2014

A researcher in the Science corpus: 10 papers; trusts 29 researchers and is trusted by 44 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 64 citations into it; #379 of 7,422 by trust here, #554 by citations
• Mathematical Physics — 55 citations into it; #592 of 8,562 by trust here, #1,355 by citations
• Algebra and Number Theory — 37 citations into it; #316 of 2,864 by trust here, #592 by citations
• Computational Theory and Mathematics — 11 citations into it; #4,031 of 12,182 by trust here, #3,218 by citations
• Discrete Mathematics and Combinatorics — 6 citations into it
• Statistical and Nonlinear Physics — 6 citations into it; #5,018 of 10,127 by trust here, #8,564 by citations

Whom M. Kapranov trusts overall

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

1. Bertrand Toën
2. Jacob Lurie
3. P. Seidel
4. Tobias Dyckerhoff
5. Goncalo Tabuada
6. K. Mackenzie
7. A. Kuku
8. E. Vasserot
9. Robert A. Wilson
10. W. Dwyer

Who trusts M. Kapranov overall

1. Michael Larsen
2. A. Libgober
3. Ieke Moerdijk
4. O. Garc'ia-Prada
5. Imma G'alvez-Carrillo
6. V. Lunts
7. V. Drinfeld
8. Walter Gubler
9. L. Gottsche
10. J. Mrčun

Papers from M. Kapranov's perspective

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

1. Model categories and their localizations
2. Higher Topos Theory
3. Moduli of objects in dg-categories
4. Fukaya Categories and Picard-Lefschetz Theory
5. Derived Hall algebras
6. Combinatorial Model Categories Have Presentations
7. The homotopy theory of dg-categories and derived Morita theory
8. Higher Algebraic K-Theory
9. Integrability of Lie brackets
10. Elliptic spectra, the Witten genus and the theorem of the cube

Their papers

• Non-archimedean amoebas and tropical varieties (2004) — 355 citations
• Perverse sheaves over real hyperplane arrangements (2014) — 48 citations
• Perverse Schobers (2014) — 54 citations
• Triangulated surfaces in triangulated categories (2013) — 79 citations
• Higher Segal Spaces (2012) — 132 citations
• Virtual fundamental classes via dg-manifolds (2007) — 111 citations
• Free Lie algebroids and the space of paths (2007) — 48 citations
• Representation and character theory in 2-categories (2006) — 88 citations
• Vertex algebras and the formal loop space (2001) — 96 citations
• The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups (2000) — 200 citations