Nikolai Ivanov
#171,595
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Russian mathematician
Nikolai Ivanov 's AcademicInfluence.com Rankings
Nikolai Ivanov mathematics Degrees
Mathematics
#7723
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#10483
Historical Rank
Group Theory
#231
World Rank
#273
Historical Rank
Number Theory
#406
World Rank
#505
Historical Rank
Algebra
#688
World Rank
#900
Historical Rank

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Mathematics
Why Is Nikolai Ivanov Influential?
(Suggest an Edit or Addition)According to Wikipedia, Nikolai V. Ivanov is a Russian mathematician who works on topology, geometry and group theory . He is a professor at Michigan State University. He obtained his Ph.D. under the guidance of Vladimir Abramovich Rokhlin in 1980 at the Steklov Mathematical Institute.
Nikolai Ivanov '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
- Subgroups of Teichmuller Modular Groups (1992) (300)
- Mapping Class Groups (2001) (298)
- Automorphism of complexes of curves and of Teichmuller spaces : Interna (1997) (247)
- Foundations of the theory of bounded cohomology (1987) (170)
- On injective homomorphisms between Teichmüller modular groups I (1999) (101)
- The Torelli geometry and its applications (2003) (72)
- Automorphisms of Teichmüller modular groups (1988) (69)
- Complexes of curves and the Teichmüller modular group (1987) (66)
- Fifteen problems about the mapping class groups (2006) (62)
- Approximation of smooth manifolds by real algebraic sets (1982) (48)
- Isometries of Teichm?uller spaces from the point of view of Mostow rigidity (2001) (40)
- Complexes of curves and Teichmüller spaces (1991) (34)
- Second bounded cohomology group (1990) (30)
- Diffeomorphism groups of Waldhausen manifolds (1979) (28)
- Automorphisms of surface braid groups (2003) (25)
- Homotopy of spaces of diffeomorphisms of some three-dimensional manifolds (1984) (24)
- Algebraic properties of mapping class groups of surfaces (1986) (21)
- Action of Möbius transformations on homeomorphisms: Stability and rigidity (1996) (18)
- PROJECTIVE STRUCTURES, FLAT BUNDLES, AND KÄHLER METRICS ON MODULI SPACES (1988) (17)
- Notes on the bounded cohomology theory (2017) (17)
- Teichmüller modular groups and arithmetic groups (1990) (15)
- Nielsen numbers of mappings of surfaces (1984) (14)
- PERMUTATION REPRESENTATIONS OF BRAID GROUPS OF SURFACES (1992) (13)
- Rank of Teichmüller modular groups (1988) (13)
- Stretching factors of pseudo-Anosov homeomorphisms (1990) (12)
- Leray theorems in bounded cohomology theory (2020) (12)
- Arnol’d, the Jacobi Identity, and Orthocenters (2011) (12)
- On the virtual cohomology dimension of the Teichmüller modular group (1984) (11)
- Infinite topology of curve complexes and non-Poincare duality of Teichmueller modular groups (2007) (11)
- Subgroups of Teichmüller modular groups and their frattini subgroups (1987) (11)
- A SHORT PROOF OF NON-GROMOV HYPERBOLICITY OF TEICHM ˜ (2002) (10)
- A Differential Forms Perspective on the Lax Proof of the Change of Variables Formula (2005) (5)
- Sperner's Lemma, Brouwer's fixed-point theorem, and cohomology (2009) (4)
- Topological categories related to Fredholm operators: II. The analytical index (2021) (4)
- Torelli buildings and their automorphisms (2014) (4)
- Topological categories related to Fredholm operators: I. Classifying spaces (2021) (4)
- A topologist’s view of the Dunford-Schwartz proof of the brouwer fixed-point theorem (2000) (4)
- Spectral sections: two proofs of a theorem of Melrose-Piazza (2021) (4)
- Affine planes, ternary rings, and examples of non-Desarguesian planes (2016) (3)
- The lemmas of Alexander and Sperner (2019) (2)
- Finite approximability of modular Teichmüller groups (1991) (2)
- The de Bruijn-Erd\"os theorem in incidence geometry via Ph. Hall's marriage theorem (2017) (2)
- Elements of Torelli topology: II. The extension problem (2016) (1)
- Cubes and cubical chains and cochains in combinatorial topology (2020) (1)
- Leray theorems for $l_1$-norms of infinite chains. (2020) (1)
- Examples of Large Centralizers in the Artin Braid Groups (2004) (1)
- Algebra of linear recurrence relations in arbitrary characteristic (2016) (1)
- Examples of centralizers in the Artin braid groups (2003) (1)
- Ten Problems on the Mapping Class Groups (2014) (1)
- Improvement of the Nash-Tognoli theorem (1984) (1)
- The conformal dilatation and Beltrami forms over quadratic field extensions (2017) (1)
- The virtual cohomology dimension of Teichm\"uller modular groups: the first results and a road not taken (2015) (0)
- ISOTOPIC CLASSIFICATION OF ODD-DIMENSIONAL SIMPLE LINKS OF CODIMENSION (2016) (0)
- Beyond Sperner's lemma. (2019) (0)
- Index to Volume 118, 2011 (2011) (0)
- Non-Desarguesian planes (2011) (0)
- Ju n 20 09 Sperner ’ s Lemma , the Brouwer Fixed-Point Theorem (2009) (0)
- Elements of Torelli topology: I. The rank of abelian subgroups (2016) (0)
- Scarf's theorems, simplices, and oriented matroids (2022) (0)
- The geometric meaning of the complex dilatation (2017) (0)
- The de Bruijn-Erd\"os-Hanani theorem (2017) (0)
- Simplicial sets, Postnikov systems, and bounded cohomology (2020) (0)
- Geometry and topology of complex hyperbolic and Cauchy-Riemannian manifolds (2016) (0)
- The de Bruijn-Erdös-Hanani theorem (2017) (0)
- The Tutte expansion revisited (2016) (0)
- The index of self-adjoint Shapiro-Lopatinskii boundary problems of order one (2022) (0)
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