F. Thomas Farrell
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American mathematician
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F. Thomas Farrellmathematics Degrees
Mathematics
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#3307
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#844
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Measure Theory
#3067
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#3639
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#890
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Mathematics
F. Thomas Farrell's Degrees
- PhD Mathematics Princeton University
Why Is F. Thomas Farrell Influential?
(Suggest an Edit or Addition)According to Wikipedia, Francis Thomas Farrell is an American mathematician who has made contributions in the area of topology and differential geometry. Farrell is a distinguished professor emeritus of mathematics at Binghamton University. He also holds a position at the Yau Mathematical Sciences Center, Tsinghua University.
F. Thomas Farrell's Published Works
Published Works
- Isomorphism conjectures in algebraic $K$-theory (1993) (308)
- The obstruction to fibering a manifold over a circle (1967) (158)
- Topological rigidity for compact non-positively curved manifolds (1990) (109)
- A topological analogue of Mostow’s rigidity theorem (1989) (109)
- On Novikov's Conjecture for Non-Positively Curved Manifolds, I (1981) (92)
- Negatively curved manifolds with exotic smooth structures (1989) (80)
- The Whitehead Group of Poly-(Finite or Cyclic) Groups (1981) (77)
- Classical Aspherical Manifolds (1990) (76)
- The lower algebraicK-theory of virtually infinite cyclic groups (1995) (68)
- An extension of tate cohomology to a class of infinite groups (1977) (66)
- TOPOLOGICAL CHARACTERIZATION OF FLAT AND ALMOST FLAT RIEMNNIAN MANIFOLDS Mn (n # 3,4) (1983) (66)
- The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups (2011) (61)
- K-Theory and Dynamics. I (1986) (61)
- K-theory and dynamics. II (1986) (60)
- The topological-Euclidean space form problem (1978) (56)
- The Whitehead groups of braid groups vanish (2000) (44)
- The nonfiniteness of Nil (1977) (42)
- Rigidity for aspherical manifolds with $\pi_1 \subset GL_m (\mathbb{R})$ (1998) (40)
- On the topology of the space of negatively curved metrics (2006) (38)
- K‐Theory of Solvable Groups (2002) (37)
- The surgeryL-groups of poly-(finite or cyclic) groups (1988) (35)
- $H$-cobordant manifolds are not necessarily homeomorphic (1967) (33)
- Poincaré daulity and groups of type (FP) (1975) (31)
- The Teichmuller space of pinched negatively curved metrics on a hyperbolic manifold is not contractible (2004) (30)
- The whitehead theorem in the proper category (1973) (30)
- Infinite matrices in algebraicK-theory and topology (1972) (30)
- EZ-structures and topological applications (2004) (30)
- Complex hyperbolic manifolds and exotic smooth structures (1994) (30)
- Rigidity and other topological aspects of compact nonpositively curved manifolds (1990) (29)
- Anosov diffeomorphisms constructed from πk(Diff(Sn)) (2010) (29)
- Algebraic K-theory of pure braid groups (2000) (27)
- A geometric interpretation of the Künneth formula for algebraic $K$-theory (1968) (27)
- Stable pseudoisotopy spaces of compact non-positively curved manifolds (1991) (27)
- Manifolds with π 1 = G x α T (1973) (26)
- Do almost flat manifolds bound (1983) (26)
- RationalL-groups of Bieberbach groups (1977) (24)
- New attractors in hyperbolic dynamics (1980) (22)
- The Farrell-Jones Isomorphism Conjecture for finite covolume hyperbolic actions and the algebraic -theory of Bianchi groups (2000) (22)
- The second cohomology group of G with Z2G coefficients (1974) (22)
- Hyperbolic manifolds with negatively curved exotic triangulations in dimensions greater than five (1998) (20)
- Non-univalent harmonic maps homotopic to diffeomorphisms (2000) (20)
- Algebraic torsion for infinite simple homotopy types (1972) (20)
- The exponent of UNil (1979) (18)
- Geometry, topology, and dynamics in negative curvature (2016) (18)
- Rigidity in Geometry and Topology (2010) (17)
- The moduli space of negatively curved metrics of a hyperbolic manifold (2008) (17)
- EXOTIC STRUCTURES AND QUATERNIONIC HYPERBOLIC MANIFOLDS (2004) (17)
- Surgery Groups of Knot and Link Complements (1997) (16)
- Exotic Negatively Curved Structures on Cayley Hyperbolic Manifolds (2003) (16)
- Rank 1 aspherical manifolds which do not support any nonpositively curved metric (1994) (16)
- Nonuniform hyperbolic lattices and exotic smooth structures (1993) (16)
- Lectures on surgical methods in rigidity (1996) (15)
- Compact negatively curved manifolds (of dim [unk] 3,4) are topologically rigid. (1989) (14)
- On bundles that admit fiberwise hyperbolic dynamics (2014) (13)
- Algebraic K-theory of spaces stratified fibered over hyperbolic orbifolds. (1986) (13)
- Examples of expanding endomorphisms on exotic tori (1978) (13)
- The space of Anosov diffeomorphisms (2012) (12)
- Twisted doubles and nonpositive curvature (2009) (12)
- Foliated control theory, II (1988) (11)
- Right-orderable deck transformation groups (1976) (11)
- Nonpositivity: Curvature vs. curvature operator (2004) (11)
- Compact infrasolvmanifolds are smoothly rigid (1997) (11)
- Finite automorphisms of negatively curved Poincaré duality groups (2003) (10)
- Foliated control with hyperbolic leaves (1987) (10)
- The stable topological-hyperbolic space form problem for complete manifolds of finite volume (1982) (10)
- Algebraic K-theory of discrete subgroups of Lie groups. (1987) (10)
- A survey on noncompact harmonic and asymptotically harmonic manifolds (2016) (10)
- Examples of Non‐Homeomorphic Harmonic Maps Between Negatively Curved Manifolds (1998) (9)
- Computations of stable pseudoisotopy spaces for aspherical manifolds (1991) (8)
- $H$-cobordisms with foliated control (1986) (8)
- On novikov's conjecture for cocompact discrete subgroups of a lie group (1984) (8)
- Some Non-Homeomorphic Harmonic Homotopy Equivalences (1996) (8)
- Cocompact Spherical‐Euclidean Spaceform Groups of Infinite VCD (1993) (8)
- Remarks on Novikov's conjecture and the topological-euclidean space form problem (1979) (7)
- Mini-Workshop: Spaces and Moduli Spaces of Riemannian Metrics (2018) (7)
- A remark on K0 of crystallographic groups (1987) (7)
- Markov cell structures for expanding maps in dimension two (1979) (7)
- A Caveat on the Convergence of the Ricci Flow for Pinched Negatively Curved Manifolds (2003) (7)
- Algebraic $K$-theory of hyperbolic manifolds (1986) (6)
- Foliated control without radius of injectivity restrictions (1991) (6)
- Exotic Structures and the Limitations of Certain Analytical Methods in Geometry (2004) (6)
- Exotic smoothings of hyperbolic manifolds which do not support pinched negative curvature (1994) (6)
- Markov cell structures (1977) (6)
- Examples of expanding endomorphisms on fake tori (2013) (6)
- Space of nonnegatively curved metrics and pseudoisotopies (2015) (6)
- Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers (2016) (6)
- Expanding Immersions on Branched Manifolds (1981) (5)
- Negative Curvature and Exotic Topology (2006) (5)
- Cellular harmonic maps which are not diffeomorphisms (2003) (4)
- The space of nonpositively curved metrics of a negatively curved manifold (2011) (4)
- Harmonic cellular maps which are not diffeomorphisms (2004) (4)
- Branched covers of hyperbolic manifolds and harmonic maps (2004) (4)
- Teichmüller space of negatively curved metrics on complex hyperbolic manifolds is not contractible (2016) (4)
- Smooth Non‐Representability of Out π1M (1990) (4)
- Local collapsing theory (2003) (4)
- Teichmüller Spaces and Bundles with Negatively Curved Fibers (2007) (3)
- Topological rigidity for hyperbolic manifolds (1988) (3)
- Addendum to: on Novikov's conjecture for cocompact subgroups of a lie group (1987) (3)
- Negatively curved bundles in the Igusa stable range (2017) (2)
- Implication of the Geometrization Conjecture for the Algebraic K-Theory of 3-Manifolds (2020) (2)
- Fibered representations, an open condition☆ (1999) (2)
- Riemannian foliation with exotic tori as leaves (2018) (2)
- The isomorphism conjecture for solvable groups in Waldhausen’s A-theory (2016) (1)
- Smooth rigidity and $C^1$-conjugacy at $\infty$ (1994) (1)
- The Farrell-Jones Conjecture for some nearly crystallographic groups (2014) (1)
- Involution on pseudoisotopy spaces and the space of nonnegatively curved metrics (2017) (1)
- On negatively curved bundles with hyperbolic fibers outside the Igusa stable range (2017) (1)
- Exotic Topology in Geometry and Dynamics (2014) (1)
- The signature and arithmetic genus of certain aspherical manifolds (1976) (1)
- On negatively curved bundles with hyperbolic fibers outside the Igusa stable range (2018) (0)
- Piecewise Linear Non‐Representability of Out π1 M (2002) (0)
- Background to the Farrell-Jones Isomorphism Conjecture (0)
- High-dimensional manifold topology : proceedings of the school ICTP, Trieste, Italy, 21 May - 8 June 2001 (2003) (0)
- C^k-quasi-isometry sets are pre-compact (2009) (0)
- O ct 2 01 3 EXAMPLES OF EXPANDING ENDOMORPHISMS ON FAKE (2014) (0)
- The Atiyah conjecture (2016) (0)
- Teichmüller space of negatively curved metrics on complex hyperbolic manifolds is not contractible (2017) (0)
- On bundles that admit fiberwise hyperbolic dynamics (2015) (0)
- SMOOTH RIGIDITY AND C^-CONJUGACY AT oo (2016) (0)
- Joint papers of F. T. Farrell and L. E. Jones (2012) (0)
- G T ] 1 3 M ay 2 00 4 EZ-structures and topological applications (2008) (0)
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