Allen Hatcher
American topologist
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Mathematics
Allen Hatcher's Degrees
- PhD Mathematics Princeton University
- Bachelors Mathematics Rice University
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(Suggest an Edit or Addition)According to Wikipedia, Allen Edward Hatcher is an American topologist. Biography Hatcher was born in Indianapolis, Indiana. After obtaining his B.S from Oberlin College in 1966, he went for his graduate studies to Stanford University, where he received his Ph.D. in 1971. His thesis, A K2 Obstruction for Pseudo-Isotopies, was written under the supervision of Hans Samelson. Afterwards, Hatcher went to Princeton University, where he was an NSF postdoc for a year, then a lecturer for another year, and then Assistant Professor from 1973 to 1979. He was also a member of the Institute for Advanced Study in 1975–76 and 1979–80. Hatcher went on to become a professor at the University of California, Los Angeles in 1977. From 1983 he has been a professor at Cornell University; he is now a professor emeritus.
Allen Hatcher's Published Works
Published Works
- A presentation for the mapping class group of a closed orientable surface (1980) (354)
- Incompressible surfaces in 2-bridge knot complements (1985) (319)
- A proof of the Smale Conjecture, Diff(S3) 0(4) (1983) (288)
- Notes on Basic 3-Manifold Topology (2001) (237)
- Boundary Curves of Incompressible Surfaces (1982) (196)
- Homological stability for automorphism groups of free groups (1995) (153)
- Stabilization for mapping class groups of 3-manifolds (2007) (149)
- Pseudo-isotopies of compact manifolds (1973) (146)
- Incompressible surfaces in punctured-torus bundles (1982) (116)
- Homeomorphisms of sufficiently large P2-irreducible 3-manifolds (1976) (108)
- Higher simple homotopy theory (1975) (94)
- On the Teichmüller tower of mapping class groups (2000) (91)
- Boundary slopes for Montesinos knots (1989) (91)
- Cerf Theory for Graphs (1998) (84)
- Erratum to: Homology stability for outer automorphism groups of free groups (2004) (81)
- CONCORDANCE SPACES , HIGHER SIMPLE-HOMOTOPY THEORY , AND APPLICATIONS (1978) (79)
- Configuration spaces of rings and wickets (2008) (79)
- The Complex of Free Factors of a Free Group (1998) (77)
- On triangulations of surfaces (1991) (77)
- RATIONAL HOMOLOGY OF AUT ( F n ) (1998) (74)
- Bordism invariants of intersections of submanifolds (1974) (72)
- Measured lamination spaces for surfaces, from the topological viewpoint (1988) (63)
- Hyperbolic Structures of Arithmetic Type on Some Link Complements (1983) (50)
- Rational homology of $\text{\rm Aut}$($F_n$) (1998) (41)
- Erratum to "Stabilization for the automorphisms of free groups with boundaries" (2004) (38)
- Isoperimetric inequalities for automorphism groups of free groups. (1996) (36)
- Assembling homology classes in automorphism groups of free groups (2015) (33)
- Finiteness of classifying spaces of relative diffeomorphism groups of 3–manifolds (1997) (31)
- Generating the Torelli group (2011) (30)
- Pants Decompositions of Surfaces (1999) (29)
- Tethers and homology stability for surfaces (2015) (28)
- The space of incompressible surfaces in a 2-bridge link complement (1988) (27)
- On the diffeomorphism group of (1981) (27)
- A short exposition of the Madsen-Weiss theorem (2011) (24)
- A matrix for computing the jones polynomial of a knot (1993) (23)
- On the Diffeomorphism Group of S 1 S 2 (1981) (23)
- Some examples of essential laminations in 3-manifolds (1992) (20)
- Spaces of Knots (1999) (19)
- Topological Moduli Spaces of Knots (2002) (18)
- The Kirby torus trick for surfaces (2013) (18)
- Spaces of Incompressible Surfaces (1999) (17)
- AFFINE LAMINATION SPACES FOR SURFACES (1992) (16)
- Stability theorems for “concordance implies isotopy” and “$h$-cobordism implies diffeomorphism” (1976) (13)
- The Classification of 3-Manifolds — A Brief Overview (2004) (13)
- Finite presentation of 3-manifold mapping class groups (1990) (13)
- The second obstruction for pseudo-isotopies (1972) (13)
- Bianchi Orbifolds of Small Discriminant (1999) (11)
- The cyclic cycle complex of a surface (2008) (9)
- Pseudo-isotopy and K2 (1973) (7)
- Parametrized $h$-cobordism theory (1973) (6)
- Full laminations in 3-manifolds (1996) (6)
- Notes on Introductory Point-Set Topology (2014) (4)
- Measured Lamination Spaces for 3-Manifolds (1999) (4)
- Homology Stability for Outer Automorphisms of Free Groups (2004) (1)
- Concordance and isotopy of smooth embeddings in low codimensions (1973) (1)
- An Exposition of the Madsen-Weiss Theorem (2013) (1)
- Diffeomorphism Groups of Reducible 3-Manifolds (2007) (1)
- Moduli Spaces of Circle Packings (2018) (1)
- Spectral Sequences (2020) (0)
- 1 Prime Decomposition 1 Chapter 1 . Canonical Decomposition (2010) (0)
- More Exercises for Algebraic Topology (2015) (0)
- 1 2 Ju n 19 99 Pants Decompositions of Surfaces (1999) (0)
- On the Diffeomorphism Group of S× S (2003) (0)
- G T ] 2 8 M ay 2 00 8 Configuration Spaces of Rings and Wickets (0)
- Deck Transformations and Group Actions 70. Additional Topics (2007) (0)
- Simplifying and Separating Configurations of Disjoint Unlinked Spheres in Euclidean Space (2022) (0)
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