Oleg Viro

Q: What Schools Are Affiliated With Oleg Viro

Oleg Viro is affiliated with the following schools: Uppsala University, Stony Brook University, University of California, Riverside, Saint Petersburg State University

Oleg Viro's AcademicInfluence.com Rankings

Oleg Viro

Mathematics

#277

World Rank

#598

Historical Rank

#130

USA Rank

Measure Theory

#2363

World Rank

#2825

Historical Rank

#669

USA Rank

mathematics Degrees

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Mathematics

Why Is Oleg Viro Influential?

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According to Wikipedia, Oleg Yanovich Viro is a Russian mathematician in the fields of topology and algebraic geometry, most notably real algebraic geometry, tropical geometry and knot theory. Contributions Viro developed a "patchworking" technique in algebraic geometry, which allows real algebraic varieties to be constructed by a "cut and paste" method. Using this technique, Viro completed the isotopy classification of non-singular plane projective curves of degree 7. The patchworking technique was one of the fundamental ideas which motivated the development of tropical geometry. In topology, Viro is most known for his joint work with Vladimir Turaev, in which the Turaev-Viro invariants and related topological quantum field theory notions were introduced.

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Oleg Viro's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Khovanov homology, its definitions and ramifications (2004) (107)
Quantum Relatives of Alexander Polynomial (2002) (60)
Topology and geometry : Rohlin seminar (1988) (38)
Remarks on definition of Khovanov homology (2002) (31)
TWISTED ACYCLICITY OF A CIRCLE AND SIGNATURES OF A LINK (2009) (21)
Configurations of skew lines (2006) (18)
Topology of manifolds and varieties (1994) (17)
Virtual Links, Orientations of Chord Diagrams and Khovanov Homology (2006) (11)
Encomplexing the writhe (2000) (9)
Representations of functions, celestial mechanics and KAM theory, 1957-1965 (2009) (6)
Defining relations for reflections. I (2014) (3)
Space of Smooth 1-Knots in a 4-Manifold: Is Its Algebraic Topology Sensitive to Smooth Structures? (2015) (2)
Characterization of affine links in the projective space (2019) (1)
Singularities in symplectic and contact geometry 1980-1985 (2018) (1)
Fundamental group in the projective knot theory (2020) (1)
Fundamental groups in projective knot theory (2021) (0)
Plenary Lectures (2008) (0)
Singularity theory 1972-1979 (2016) (0)
Pictorial Calculus for Isometries (2016) (0)
Configurations of Skew Lines Can Skew Lines Be Interlaced? (2006) (0)
Orientations of Chord Diagrams and Khovanov Homology (2006) (0)
Preface to the tenth Takagi Lectures (2012) (0)
Biflippers and head to tail composition rules (2014) (0)
Twisted acyclicity of a circle and link signatures (2010) (0)

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Other Resources About Oleg Viro

en.wikipedia.org

What Schools Are Affiliated With Oleg Viro?

Oleg Viro is affiliated with the following schools:

Oleg Viro's Academic­Influence.com Rankings