E. Mukhin

Geometry and Topology · 2002–2012

A researcher in the Science corpus: 8 papers; trusts 11 researchers and is trusted by 4 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 27 citations into it; #3,693 of 7,422 by trust here, #2,689 by citations
• Algebra and Number Theory — 18 citations into it; #2,215 of 2,864 by trust here, #2,392 by citations
• Discrete Mathematics and Combinatorics — 13 citations into it; #1,172 of 2,017 by trust here, #604 by citations
• Mathematical Physics — 10 citations into it; #5,229 of 8,562 by trust here, #3,828 by citations
• Statistical and Nonlinear Physics — 9 citations into it; #8,025 of 10,127 by trust here, #8,564 by citations

Whom E. Mukhin trusts overall

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

1. D. Hernandez
2. Jos Vermaseren
3. Alexandre Eremenko
4. A. Varchenko
5. V. Tarasov
6. Andrei Gabrielov
7. Vyjayanthi Chari
8. H. Nakajima
9. N. Andruskiewitsch

Who trusts E. Mukhin overall

1. V. Tarasov
2. Alexandre Eremenko
3. A. Varchenko
4. Andrei Gabrielov

Papers from E. Mukhin's perspective

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

1. Rational functions and real Schubert calculus
2. The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz
3. Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry
4. The Kirillov-Reshetikhin conjecture and solutions of T-systems
5. New features of FORM
6. A (q,γ) analog of the W1+∞ algebra
7. The elliptic Hall algebra, Cherednik Hecke algebras and Macdonald polynomials (Compositio Mathematica)
8. Duality for Knizhnik–Zamolodchikov and Dynamical Equations
9. Rational Functions with Prescribed Critical Points
10. Conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces

Their papers

• Representations of quantum toroidal gln (2012) — 81 citations
• Affinization of category O for quantum groups (2012) — 50 citations
• Path description of type B q-characters (2011) — 48 citations
• Quantum continuous $\mathfrak{gl}_{\infty}$: Semiinfinite construction of representations (2010) — 99 citations
• Schubert calculus and representations of the general linear group (2007) — 138 citations
• Bispectral and (gl_N, gl_M) Dualities, Discrete Versus Differential (2006) — 67 citations
• The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz (2005) — 117 citations
• Critical points of master functions and flag varieties (2002) — 106 citations