Yuri I. Manin

Mathematical Physics · 2000–2014

A researcher in the Science corpus: 13 papers; trusts 24 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 40 citations into it; #1,435 of 8,562 by trust here, #1,567 by citations
• Geometry and Topology — 36 citations into it; #1,344 of 7,422 by trust here, #1,083 by citations
• Algebra and Number Theory — 18 citations into it; #466 of 2,864 by trust here, #550 by citations
• Nuclear and High Energy Physics — 5 citations into it

Whom Yuri I. Manin trusts overall

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

1. Alexander Polishchuk
2. A. Goncharov
3. C. Consani
4. Martin Markl
5. Matilde Marcolli
6. T. Bridgeland
7. Michael R Douglas
8. C. Deninger
9. E. Witten
10. D. Nikshych

Who trusts Yuri I. Manin overall

1. R. Hain
2. Johannes Broedel
3. Brendan Hassett
4. V. Golyshev
5. Yuri Tschinkel
6. F. Brown
7. F. D’Andrea
8. Claude Duhr
9. C. Consani
10. Matilde Marcolli

Papers from Yuri I. Manin's perspective

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

1. Stability conditions on triangulated categories
2. Some analogies between number theory and dynamical systems on foliated spaces.
3. Dirichlet branes, homological mirror symmetry, and stability
4. Multiple polylogarithms and mixed Tate motives
5. Multiple polylogarithms, cyclotomy and modular complexes
6. Semi)simple exercises in quantum cohomology
7. Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves
8. Semisimple Quantum Cohomology and Blow-ups
9. Derived categories of coherent sheaves and motives
10. Fukaya Categories and Picard-Lefschetz Theory

Their papers

• Topics in Non-Commutative Geometry (2014) — 63 citations
• A Course in Mathematical Logic for Mathematicians (2009) — 78 citations
• An update on semisimple quantum cohomology and F-manifolds (2008) — 49 citations
• Introduction to Modern Number Theory (2008) — 73 citations
• Generalized Operads and Their Inner Cohomomorphisms (2006) — 61 citations
• The notion of dimension in geometry and algebra (2005) — 68 citations
• Iterated integrals of modular forms and noncommutative modular symbols (2005) — 110 citations
• Real multiplication and noncommutative geometry (ein Alterstraum) (2004) — 55 citations
• Multiple $\zeta$-motives and moduli spaces $\overline{\mathcal{M}}_{0,n}$ (2004) — 63 citations
• F-manifolds with flat structure and Dubrovin's duality (2004) — 82 citations
• Real Multiplication and noncommutative geometry (2002) — 123 citations
• Semi)simple exercises in quantum cohomology (2001) — 68 citations
• New moduli spaces of pointed curves and pencils of flat connections. (2000) — 214 citations