A. Varchenko
Geometry and Topology · 2000–2014
A researcher in the Science corpus: 15 papers; trusts 6 researchers and is trusted by 13 researchers here, as inferred from the citation graph.
Subfields
- Geometry and Topology — 17 citations into it; #1,696 of 7,422 by trust here, #1,203 by citations
- Mathematical Physics — 12 citations into it; #4,928 of 8,562 by trust here, #3,828 by citations
- Algebra and Number Theory — 10 citations into it; #699 of 2,864 by trust here, #573 by citations
Whom A. Varchenko trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
Who trusts A. Varchenko overall
- V. Tarasov
- E. Mukhin
- F. Alberto Grünbaum
- Valerio Toledano Laredo
- Alexandre Eremenko
- M. Yakimov
- P. Boalch
- Paolo Aluffi
Papers from A. Varchenko's perspective
Ordered by how strongly the researchers A. Varchenko trusts endorse each paper. Same corpus, a different order for every researcher.
- Rational functions and real Schubert calculus
- The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz
- Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry
- Rational Functions with Prescribed Critical Points
- Conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces
- Metrics of positive curvature with conic singularities on the sphere
- Schubert calculus and representations of the general linear group
- Differential Equations Compatible with KZ Equations
- A (q,γ) analog of the W1+∞ algebra
- The Kirillov-Reshetikhin conjecture and solutions of T-systems
Their papers
- Trigonometric weight functions as K-theoretic stable envelope maps for the cotangent bundle of a flag variety (2014) — 66 citations
- Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra (2012) — 57 citations
- Singularities of Differentiable Maps, Volume 1 (2012) — 222 citations
- Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals (2012) — 107 citations
- On the representation of functions of several variables as a superposition of functions of a smaller number of variables (2009) — 58 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
- Duality for Knizhnik–Zamolodchikov and Dynamical Equations (2001) — 81 citations
- Critical points of functions, sl_2 representations, and Fuchsian differential equations with only univalued solutions (2001) — 75 citations
- Difference equations compatible with trigonometric KZ differential equations (2000) — 76 citations
- Traces of intertwiners for quantum groups and difference equations, I (2000) — 66 citations
- Differential Equations Compatible with KZ Equations (2000) — 143 citations
- Dynamical Weyl Groups and Applications (2000) — 112 citations