Boris Dubrovin

Geometry and Topology · 2001–2016

A researcher in the Science corpus: 9 papers; trusts 8 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 20 citations into it; #1,753 of 7,422 by trust here, #2,207 by citations
• Mathematical Physics — 10 citations into it; #3,222 of 8,562 by trust here, #4,785 by citations
• Algebra and Number Theory — 8 citations into it
• Statistical and Nonlinear Physics — 6 citations into it; #2,131 of 10,127 by trust here, #2,631 by citations
• Computational Theory and Mathematics — 5 citations into it

Whom Boris Dubrovin trusts overall

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

1. C. Hertling
2. B. Khesin
3. E. Getzler
4. A. Okounkov
5. You-jin Zhang
6. G. Misiołek
7. Alexander Givental
8. Torsten Ekedahl
9. Sergei K. Lando
10. R. Pandharipande

Who trusts Boris Dubrovin overall

1. R. Pandharipande
2. E. Getzler
3. T. Milanov
4. Edward J. Anderson
5. Alexander Polishchuk
6. Aaron Pixton
7. Igor Rodnianski
8. B. Totaro
9. F. Delduc
10. A. Vaintrob

Papers from Boris Dubrovin's perspective

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

1. GROMOV - WITTEN INVARIANTS AND QUANTIZATION OF QUADRATIC HAMILTONIANS
2. Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants
3. Frobenius Manifolds and Moduli Spaces for Singularities
4. Toda equations for Hurwitz numbers
5. The Equivariant Gromov-Witten theory of P**1
6. The Toda conjecture
7. Semisimple Frobenius structures at higher genus
8. Graphs on Surfaces and Their Applications
9. Hurwitz numbers and intersections on moduli spaces of curves
10. The Extended Toda Hierarchy (Moscow Mathematical Journal)

Their papers

• Classical Hurwitz numbers and related combinatorics (2016) — 55 citations
• Modern Geometry-Methods and Applications(Part II. The Geometry and Topology of Manifolds) (2010) — 213 citations
• ON POISSON BRACKETS OF HYDRODYNAMIC TYPE (2008) — 224 citations
• Monodromy of certain Painlev e-VI transcendents and reection groups (2006) — 47 citations
• On Hamiltonian Perturbations of Hyperbolic Systems of Conservation Laws, II: Universality of Critical Behaviour (2005) — 162 citations
• ON ALMOST DUALITY FOR FROBENIUS MANIFOLDS (2003) — 149 citations
• The Extended Toda Hierarchy (2003) — 168 citations
• Integrable Systems. I (2001) — 424 citations
• Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants (2001) — 392 citations