Andrew Ranicki
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British mathematician and professor
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Andrew Ranickimathematics Degrees
Mathematics
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Measure Theory
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Mathematics
Why Is Andrew Ranicki Influential?
(Suggest an Edit or Addition)According to Wikipedia, Andrew Alexander Ranicki was a British mathematician who worked on algebraic topology. He was a professor of mathematics at the University of Edinburgh. Life Ranicki was the only child of the well-known literary critic Marcel Reich-Ranicki and the artist Teofila Reich-Ranicki; he spoke Polish in his family. Born in London, he lived in Warsaw, in Frankfurt am Main and Hamburg, and attended school in England at the King's School, Canterbury from the age of sixteen.
Andrew Ranicki'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
- Exact sequences in the algebraic theory of surgery (1981) (295)
- Algebraic L-theory and Topological Manifolds (1993) (280)
- Novikov Conjectures, Index Theorems and Rigidity (1995) (267)
- The algebraic theory of surgery (1980) (133)
- The Algebraic Theory of Surgery II. Applications to Topology (1980) (123)
- Algebraic and Geometric Surgery (2002) (120)
- The Algebraic Theory of Surgery I. Foundations (1980) (117)
- High-dimensional knot theory (1998) (107)
- The total surgery obstruction (1979) (103)
- Ends of Complexes (1996) (103)
- Geometric Topology: Localization, Periodicity and Galois Symmetry: The 1970 MIT Notes (2005) (98)
- Algebraic L-theory (1974) (80)
- Proper affine isometric actions of amenable groups (1995) (74)
- Novikov Conjectures, Index Theorems and Rigidity: A history and survey of the Novikov conjecture (1995) (74)
- Round L-theory (1987) (70)
- Algebraic L‐Theory, I: Foundations (1973) (67)
- Princeton University Press eBook Package 2014 (2001) (56)
- Algebraic L‐Theory, II: Laurent Extensions (1973) (55)
- Lower K- and L-theory (1992) (54)
- The L-Theory of Twisted Quadratic Extensions (1987) (54)
- Projective surgery theory (1980) (54)
- The algebraic theory of finiteness obstruction. (1985) (52)
- Noncommutative localisation in algebraic K-theory I (2004) (50)
- On the Novikov conjecture (1998) (49)
- Analytic Novikov for topologists (1995) (45)
- Rigidity and gluing for Morse and Novikov complexes (2001) (41)
- Controlled K-theory (1995) (40)
- NONCOMMUTATIVE LOCALIZATION AND CHAIN COMPLEXES I. ALGEBRAIC K- AND L-THEORY (2001) (38)
- Finite domination and Novikov rings (1995) (37)
- Non-commutative localization in algebra and topology (2006) (35)
- Algebraic L-theory III. Twisted laurent extensions (1973) (35)
- Morse theory for manifolds with boundary (2012) (35)
- High-dimensional Knot Theory: Algebraic Surgery in Codimension 2 (2010) (34)
- Surgery obstructions of fibre bundles (1992) (34)
- The Morse-Novikov theory of circle-valued functions and noncommutative localization (1998) (32)
- Chain complexes and assembly (1990) (31)
- Additive L-Theory (1989) (30)
- CONTROLLED SURGERY WITH TRIVIAL LOCAL FUNDAMENTAL GROUPS (2001) (30)
- Algebraic K -theory over the infinite dihedral group: an algebraic approach (2008) (27)
- THE WHITEHEAD GROUP OF THE NOVIKOV RING (2000) (26)
- On the algebraic L-theory of semisimple rings (1978) (25)
- ON THE CALCULATION OF UNIL (2003) (25)
- The algebraic construction of the Novikov complex of a circle-valued Morse function (1999) (24)
- Noncommutative localization in topology (2003) (24)
- Generalized Arf invariants in algebraic L-theory (2003) (22)
- On the Hauptvermutung (1996) (21)
- A semi-local combinatorial formula for the signature of a $4k$-manifold (1976) (21)
- A SURVEY OF WALL'S FINITENESS OBSTRUCTION (2000) (21)
- The algebraic theory of torsion I. Foundations (1985) (21)
- Representations of algebras as universal localizations (2002) (18)
- Localization in quadratic L-theory (1979) (17)
- Controlled L-theory (2004) (16)
- Algebraic and geometric splittings of the K- and L-groups of polynomial extensions (1986) (16)
- The L-Theory of Laurent extensions and genus 0 function fields. (1990) (16)
- An introduction to algebraic surgery (2000) (15)
- The signature of a fibre bundle is multiplicative mod 4 (2005) (15)
- Blanchfield and Seifert algebra in high dimensional knot theory (2002) (15)
- Bounded and continuous control (1995) (14)
- A Composition Formula for Manifold Structures (2006) (14)
- Chain homotopy projections (1989) (14)
- Noncommutative localization in algebraic L-theory (2008) (13)
- Ends of Complexes: Infinite cyclic covers (1996) (12)
- Algebraic K-theory over the infinite dihedral group (2008) (12)
- Novikov conjectures, index theorems, and rigidity. Volume 1, Oberwolfach, 1993 (1995) (11)
- Intrinsic transversality structures. (1987) (11)
- The Algebraic Theory of Torsion. II: Products (1987) (10)
- Circle valued Morse theory and Novikov homology (2001) (10)
- ALGEBRAIC POINCARE COBORDISM (2000) (9)
- The Hauptvermutung book : a collection of papers of the topology of manifolds (1996) (9)
- Signatures in algebra, topology and dynamics (2015) (9)
- Semi-Invariants in Surgery (1987) (9)
- Blanchfield and Seifert algebra in high-dimensional boundary link theory I: Algebraic K-theory (2005) (9)
- Quadratic Forms and Their Applications (2000) (9)
- On the construction and topological invariance of the Pontryagin classes (2009) (8)
- Homology manifold bordism (1999) (8)
- Pro-excisive functors (1995) (8)
- Codimension 2 embeddings, algebraic surgery and Seifert forms (2012) (8)
- Cohomology of symplectic groups and Meyer’s signature theorem (2017) (7)
- Foundations of algebraic surgery (2001) (7)
- 3-manifolds and PD(S)-groups (1995) (7)
- Symmetric and Quadratic Complexes with Geometric Control (1998) (7)
- The structure set of an arbitrary space, the algebraic surgery exact sequence and the total surgery obstruction (2001) (6)
- Some product formulae for nonsimply connected surgery problems (1986) (6)
- Localization and completion in K-theory (1998) (5)
- HOMOTOPY AND HOMOLOGY (2002) (5)
- ALGEBRAIC AND COMBINATORIAL CODIMENSION 1 TRANSVERSALITY (2003) (5)
- On The Algebraic L-theory of Δ-sets (2012) (4)
- On the semicontinuity of the mod 2 spectrum of hypersurface singularities (2012) (4)
- On the algebraic $L$-theory of $\Delta$-sets (2007) (4)
- THE MASLOV INDEX AND THE WALL SIGNATURE NON-ADDITIVITY INVARIANT (2011) (4)
- Exotic homology manifolds : Oberwolfach, 2003 (2006) (4)
- Signature cocycles on the mapping class group and symplectic groups (2018) (4)
- The Surgery Obstruction of a Disjoint Union (1979) (3)
- Novikov Conjectures, Index Theorems and Rigidity: Contents (1995) (3)
- An Explicit Projection (3)
- HOMOLOGICAL ALGEBRA FOR SCHWARTZ ALGEBRAS (2009) (2)
- Hirzebruch χy-genera modulo 8 of fiber bundles for odd integers y (2018) (2)
- The quadratic form E 8 and exotic homology manifolds (2004) (2)
- Controlled L-theory (preliminary announcement) (1997) (2)
- Commentary on “On the parallelizability of the spheres” by R. Bott and J. Milnor and “On the nonexistence of elements of Hopf invariant one” by J. F. Adams (2011) (2)
- The Geometric Hopf Invariant and Surgery Theory (2016) (2)
- Ends of Complexes: Homology at infinity (1996) (2)
- Algebraic and geometric topology : proceedings of a conference held at Rutgers University, New Brunswick, USA, July 6-13, 1983 (1985) (2)
- Novikov Conjectures, Index Theorems and Rigidity: Participant List from the Conference (1995) (2)
- Commentary on the Kervaire–Milnor correspondence 1958–1961 (2015) (1)
- Surveys on surgery theory : papers dedicated to C.T.C. Wall (2000) (1)
- K-theory of polynomial extensions (1998) (1)
- Patterns of application (1999) (1)
- Novikov Conjectures, Index Theorems and Rigidity: Programme of the Conference (1995) (1)
- Singularities, double points, controlled topology and chain duality (1999) (1)
- Calculations and applications (1999) (1)
- Ends of Complexes: Introduction (1996) (1)
- Quadratic Forms and Their Applications: Proceedings of the Conference on Quadratic Forms and Their Applications, July 5-9, 1999, University College Dublin (2000) (1)
- Codimension 2 surgery (1998) (1)
- Algebraic and Geometric Topology (1985) (1)
- Jordan normal form projections (1988) (1)
- The geometric Hopf invariant and double points (2010) (1)
- Solid angles and Seifert hypersurfaces (2017) (1)
- A SURVEY OF WALL’S FINITENESS OBSTRUCTION STEVE FERRY AND ANDREW RANICKI (1999) (0)
- Obstructions of Fibre Bundles ” by (1992) (0)
- Ends of Complexes: End spaces (1996) (0)
- Endomorphism K-theory (1998) (0)
- Ends of Complexes: Algebraic tameness (1996) (0)
- Ends of Complexes: Polynomial extensions (1996) (0)
- Solid angles and Seifert hypersurfaces (2020) (0)
- The Double Point Theorem (2017) (0)
- Automorphism L-theory (1998) (0)
- SURGERY ON TREES (1998) (0)
- A brief history of end spaces (1996) (0)
- Algebraic Poincaré complexes (1998) (0)
- The Geometric Hopf Invariant (2017) (0)
- Seifert and Blanchfield complexes (1998) (0)
- Quadratic L-theory (1992) (0)
- K -theory of function fields (1998) (0)
- Ends of Complexes: Wrapping up in algebraic K - and L -theory (1996) (0)
- The fibering obstruction (1998) (0)
- Ends of Complexes: Geometric ribbons and bands (1996) (0)
- Finite domination and Novikov homology (1998) (0)
- Geometry and Topology Lecture 4 : The fundamental group and covering spaces (2007) (0)
- Lower K- and L-Theory: Symmetric L -theory (1992) (0)
- \({\pmb {\mathbb {Z}}}_2\)-Equivariant Homotopy and Bordism Theory (2017) (0)
- SURGERY ON MAPS (2002) (0)
- 45 slides on chain duality (1997) (0)
- EMBEDDINGS, IMMERSIONS, AND SINGULARITIES (2002) (0)
- Ends of Complexes: Forward tameness (1996) (0)
- Ends of Complexes: Algebraic ribbons (1996) (0)
- The Hirzebruch signature dish (2010) (0)
- Codimension q surgery (1998) (0)
- THE SURGERY CLASSIFICATION OF MANIFOLDS (2002) (0)
- Michael and Lily Atiyah Portrait Gallery of Mathematicians (2013) (0)
- Homotopy theoretic twist glueing (1996) (0)
- 2 7 N ov 2 00 1 CONTROLLED SURGERY WITH TRIVIAL LOCAL FUNDAMENTAL GROUPS (0)
- Homology of covers (1996) (0)
- R. Oliver Whitehead groups of finite groups (London Mathematical Society Lecture Note Series 132, Cambridge University Press, Cambridge 1988) x + 349 pp, paper: 0 521 33646 5, £19.50. (1989) (0)
- Ends of Complexes: Homotopy at infinity (1996) (0)
- Ends of Complexes: Infinite torsion (1996) (0)
- C. T. C. Wall's contributions to the topology of manifolds (2000) (0)
- Lower K- and L-Theory: Graded and bounded categories (1992) (0)
- Ends of Complexes: Geometric relaxation (1996) (0)
- Ends of Complexes: Forward tameness is a homotopy pushout (1996) (0)
- A T / 0 11 13 17 v 1 3 0 N ov 2 00 1 Circle valued Morse theory and Novikov homology (0)
- Automorphism K-theory (1998) (0)
- Lower L-theory (1992) (0)
- Projective class at infinity (1996) (0)
- A ug 2 00 4 On the calculation of UNil ∗ (2004) (0)
- Stable Homotopy Theory (2017) (0)
- L-theory of Dedekind rings (1998) (0)
- C. T. C. Wall’s publication list (2000) (0)
- to appear in Topology and Its Applications Controlled K-Theory (0)
- Friedrich Hirzebruch's grave (2013) (0)
- Framed codimension 2 surgery (1998) (0)
- Umkehr Maps and Inner Product Spaces (2017) (0)
- Controlled Topology and Chain Duality (1998) (0)
- Ends of Complexes: Cellular homology (1996) (0)
- Surgery Obstructions of Fibre Bundles ” 1 by Wolfgang Lück and (1992) (0)
- ALGEBRAIC TRANSVERSALITY FOR TOPOLOGICAL MANIFOLDS (0)
- New Prize " Ems Monograph Award " by the Ems Publishing House European Mathematical Society Editor-in-chief Copy Editor (2013) (0)
- Phylogenetic analysis and mod 2 homology (2012) (0)
- On the rigidity of the index on open manifolds (1995) (0)
- The characteristic polynomial (1998) (0)
- Excision and transversality in K-theory (1992) (0)
- THE STRUCTURE SET (2002) (0)
- Asymmetric L-theory (1998) (0)
- K-theory of formal power series (1998) (0)
- Primary L-theory (1998) (0)
- L -theory of fields and rational localization (1998) (0)
- The algebraic surgery exact sequence (0)
- Lower K- and L-Theory: The Laurent polynomial extension category A [ z , z –1] (1992) (0)
- New Directions in Algebraic $K$-Theory (2011) (0)
- Ends of Complexes: Homotopy theoretic wrapping up and relaxation (1996) (0)
- THE EVEN-DIMENSIONAL SURGERY OBSTRUCTION (2002) (0)
- Transfer in L-theory (1992) (0)
- Lower K- and L-Theory: Lower K -theory (1992) (0)
- The Difference Construction (2017) (0)
- Localization in ~uadratic L-theor~ (1979) (0)
- Controlled L-theory, (preliminary announcement), Surgery and Geometric Topology (1997) (0)
- The mapping torus (1996) (0)
- Ends of Complexes: Relaxation techniques (1996) (0)
- Isometric L-theory (1998) (0)
- Ends of Complexes: Geometric wrapping up (1996) (0)
- BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY (1995) (0)
- Lower K- and L-Theory: Transfer in K -theory (1992) (0)
- Ends of Complexes: A brief history of wrapping up (1996) (0)
- 3 0 N ov 2 00 1 Foundations of algebraic surgery (2001) (0)
- Novikov Conjectures, Index Theorems and Rigidity: Preface, The Editors (1995) (0)
- POINCARÉ COMPLEXES AND SPHERICAL FIBRATIONS (2002) (0)
- Almost symmetric L-theory (1998) (0)
- The Fundamental Group and Covering Spaces (2020) (0)
- Characteristic Classes (2020) (0)
- Primary K-theory (1998) (0)
- Errata for High-dimensional Knot Theory by Andrew Ranicki Springer Mathematical Monograph (1998) (2017) (0)
- Review: Anthony Bak, $K$-theory of forms (1982) (0)
- Projective class and torsion (1992) (0)
- The knot cobordism groups (1998) (0)
- Mini-Workshop: The Hauptvermutung for High-Dimensional Manifolds (2006) (0)
- Lower K- and L-Theory: Nilpotent class (1992) (0)
- Endomorphism L-theory (1998) (0)
- NOTES ON ENDS OF COMPLEXES by Andrew Ranicki (1998) (0)
- Ends of Complexes: Algebraic bands (1996) (0)
- Novikov Conjectures, Index Theorems and Rigidity: Contents, Volume 1 (1995) (0)
- Introduction to Ends of Complexes by Bruce Hughes and Andrew Ranicki (1998) (0)
- Lower K- and L-Theory: K -theory of C1( A ) (1992) (0)
- The Novikov conjecture, geometry and algebra * (OWS - Oberwolfach Seminars 33) * By Matthias Kreck and Wolfgang Luck: 266 pp., 38.00 (CHF64.00), ISBN 3-7643-7141-2 * (Birkhauser, Basel, 2005) (2010) (0)
- Bordism of automorphisms of manifolds from the algebraic L-theory point of view (1995) (0)
- F. Kirwan An introduction to intersection homology theory (Pitman Research Notes in Mathematics Series 187, Longman Scientific and Technical, 1988) 169 pp. 0 582 02879 5, £15. (1989) (0)
- SMSTC ( 2012 / 13 ) Geometry and Topology LECTURE NOTES 6 : The classification of surfaces (2012) (0)
- Ends of Complexes: Algebraic twist glueing (1996) (0)
- Ends of Complexes: Reverse tameness (1996) (0)
- The \(\pi \)-Equivariant Geometric Hopf Invariant (2017) (0)
- The algebraic fibering obstruction (1992) (0)
- K-theory of A[z, z–1] (1992) (0)
- Surgery Obstruction Theory (2017) (0)
- L-theory of Laurent extensions (1998) (0)
- Ends of Complexes: Locally finite homology with local coefficients (1996) (0)
- The main theorem (1999) (0)
- Manifold and geometric Poincaré bordism of X × S1 (1998) (0)
- A ug 2 00 0 An introduction to algebraic surgery (2001) (0)
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