Charles Weibel
American mathematician
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(Suggest an Edit or Addition)According to Wikipedia, Charles Alexander Weibel is an American mathematician working on algebraic K-theory, algebraic geometry and homological algebra. Weibel studied physics and mathematics at the University of Michigan, earning bachelor's degrees in both subjects in 1972. He was awarded a master's degree by the University of Chicago in 1973 and achieved his doctorate in 1977 under the supervision of Richard Swan . From 1970 to 1976 he was an "Operations Research Analyst" at Standard Oil of Indiana, and from 1977 to 1978 was at the Institute for Advanced Study. In 1978 he became an assistant professor at the University of Pennsylvania. In 1980 he became an assistant professor at Rutgers University, where he was promoted to professor in 1989.
Charles Weibel's Published Works
Published Works
- An introduction to homological algebra (1960) (1866)
- Lecture Notes On Motivic Cohomology (2006) (360)
- The K-Book: An Introduction to Algebraic K-Theory (2013) (284)
- TWO-PRIMARY ALGEBRAIC K-THEORY OF RINGS OF INTEGERS IN NUMBER FIELDS (1999) (135)
- The norm residue isomorphism theorem (2009) (109)
- Cyclic homology, cdh-cohomology and negative K-theory (2005) (108)
- Cyclic homology for schemes (1996) (100)
- Étale descent for hochschild and cyclic homology (1991) (93)
- K-Theory and analytic isomorphisms (1980) (87)
- A nonconnective delooping of algebraic K-theory (1985) (81)
- K-theory homology of spaces (1989) (74)
- Meyer vietoris sequences and module structures on NK (1981) (70)
- Zero cycles and complete intersections on singular varieties. (1985) (68)
- Algebraic K-Theory of Rings of Integers in Local and Global Fields (2005) (67)
- Toric varieties, monoid schemes and $cdh$ descent (2011) (63)
- The Hodge ?ltration and cyclic homology (1997) (58)
- Mayer-vietoris sequences and mod P K-theory (1982) (54)
- The Norm Residue Theorem in Motivic Cohomology (2019) (54)
- The cyclic homology and K-theory of curves. (1986) (54)
- Pic is a contracted functor (1991) (52)
- The negative K-theory of normal surfaces (2001) (51)
- K -regularity, cdh -fibrant Hochschild homology, and a conjecture of Vorst (2006) (43)
- Nil $K$-theory maps to cyclic homology (1987) (39)
- The 2-torsion in the K-theory of the integers (1997) (39)
- Norm Varieties and the Chain Lemma (After Markus Rost) (2008) (37)
- K-theory of hyperplanes (1980) (37)
- Module structures on the K-theory of graded rings (1987) (34)
- Étale Chern Classes at the Prime 2 (1993) (34)
- Some surfaces of general type for which Bloch's conjecture holds (2013) (30)
- Notes on motivic cohomology (2004) (29)
- Roitman’s theorem for singular complex projective surfaces (1995) (29)
- Infinitesimal cohomology and the Chern character to negative cyclic homology (2007) (28)
- A survey of products in algebraic K-theory (1981) (26)
- A spectral sequence for the K-theory of affine glued schemes (1981) (25)
- The $K$-theory of toric varieties (2007) (25)
- The Witt group of real algebraic varieties (2015) (24)
- Picard groups and class groups of monoid schemes (2013) (22)
- Bass’ NK groups and cdh-fibrant Hochschild homology (2008) (21)
- K-Theory and Noncommutative Geometry (2008) (21)
- Homotopy ends and Thomason model categories (2001) (20)
- On the Cohen-Macaulay and Buchsbaum property for unions of planes in affine space (1985) (20)
- Algebraic and Real K-theory of Algebraic varieties (2003) (19)
- Homology of Azumaya algebras (1994) (19)
- Cotensor products of modules (1999) (19)
- Negative K-theory of varieties with isolated singularities (1984) (19)
- KV-theory of categories (1981) (18)
- The Higher K-Theory of a Complex Surface (2001) (18)
- Survey of non-desarguesian planes (2007) (18)
- CHAPTER 28 – History of Homological Algebra (1999) (17)
- NK0 and NK1 of the groups C4 and D4 Addendum to "Lower algebraic K-theory of hyperbolic 3-simplex reflection groups" by J. -F. Lafont and I. J. Ortiz (2009) (16)
- K2, K3 and nilpotent ideals (1980) (16)
- PRODUCTS IN HIGHER CHOW GROUPS AND MOTIVIC COHOMOLOGY (1998) (16)
- The Higher K-Theory of Real Curves (2002) (16)
- ETALE DESCENT FOR TWO-PRIMARY ALGEBRAIC K-THEORY OF TOTALLY IMAGINARY NUMBER FIELDS (1999) (15)
- Hodge decompositions of Loday symbols inK-theory and cyclic homology (1994) (15)
- $K$-theory of Azumaya algebras (1981) (15)
- K-theory of cones of smooth varieties (2009) (15)
- Invariants of Real Curves (14)
- The K‐theory of toric varieties in positive characteristic (2012) (14)
- PATCHING THE NORM RESIDUE ISOMORPHISM THEOREM (2007) (13)
- A Road Map of Motivic Homotopy and Homology Theory (2004) (13)
- Axioms for the norm residue isomorphism (2008) (13)
- Relative Chern Characters for Nilpotent Ideals (2008) (13)
- Nilpotence and K-theory (1979) (12)
- The Higher K-Theory of Complex Varieties (2000) (12)
- A negative answer to a question of Bass (2010) (12)
- The development of Algebraic K-theory before 1980 (12)
- Complete intersection points on affine varieties (1984) (11)
- Polylogarithmic identities in cubical higher Chow groups. (1999) (11)
- Hochschild and cyclic homology are far from being homotopy functors (1989) (10)
- On the covering type of a space (2016) (10)
- Mennicke-type symbols for relative K2 (1984) (10)
- Divisibility in the Chow group of zero-cycles on a singular surface (2016) (10)
- A Brown-Gersten spectral sequence for the -theory of varieties with isolated singularities (1989) (9)
- Algebraic K-theory and the Adams e-invariant (1984) (9)
- The Artinian Berger Conjecture (1995) (8)
- Module Structures on the Hochschild and Cyclic Homology of Graded Rings (1993) (7)
- Subgroups of the elementary and Steinberg groups of congruence level I2 (1985) (7)
- Higher wild kernels and divisibility in the K-theory of number fields (2006) (7)
- An Introduction to Algebraic K-Theory (2000) (7)
- 𝐾-theory in Algebra, Analysis and Topology (2020) (6)
- A Quillen-type spectral sequence for the K-theory of varieties with isolated singularities (1989) (6)
- Contractibility of a persistence map preimage (2018) (6)
- Ideals with Trivial Conormal Bundle (1980) (6)
- The mathematical enterprises of Robert Thomason (1997) (6)
- An Introduction to Homological Algebra: References (1994) (5)
- Bloch's formula for varieties with isolated singularities: I (1986) (5)
- Complex-valued functions on the plane are pole-assignable (1988) (4)
- Grothendieck–Witt groups of some singular schemes (2020) (4)
- Set-theoretic complete intersection points on curves (1982) (4)
- On the Naturality of Pic, SK0 and SK1 (1989) (4)
- Persistent homology with non-contractible preimages (2021) (4)
- Survey of Non-Desarguesian Planes Charles Weibel (2007) (4)
- Principal ideals and smooth curves (1980) (4)
- Relative Cartier divisors and Laurent polynomial extensions (2015) (4)
- The $K’$–theory of monoid sets (2019) (4)
- Twisted K-theory, Real A-bundles and Grothendieck–Witt groups (2017) (4)
- K2 and K3 of the circle (1982) (3)
- The K -Theory of Toric Schemes Over Regular Rings of Mixed Characteristic (2017) (3)
- The homotopy exact sequence in algebraic K-Theory (1978) (3)
- Unstable operations in \'etale and motivic cohomology (2013) (3)
- THE REAL GRADED BRAUER GROUP (2019) (2)
- K 2 Measures Excision for K 1 (1980) (2)
- An Introduction to Homological Algebra: Lie Algebra Homology and Cohomology (1994) (2)
- THE HODGE FILTRATION AND CYCLIC HOMOLOGY Charles Weibel (2008) (2)
- Transfer functors on k-algebras (2005) (2)
- Operations in étale and motivic cohomology (2019) (2)
- Schur-finiteness in λ-rings (2013) (2)
- ON THE ROOTS OF POLYNOMIALS MODULO PRIMES (2012) (2)
- The Witt group of real surfaces (2019) (2)
- Relative Cartier divisors and K-theory (2016) (2)
- COMINUSCULE FLAG VARIETIES AND THEIR QUANTUM K-THEORY : SOME RESULTS (2017) (2)
- THE HODGE FILTRATION AND CYCLIC HOMOLOGY Charles Weibel (2008) (2)
- Localization, monoid sets and K-theory (2021) (1)
- Bott Periodicity for group rings An Appendix to “Periodicity of Hermitian K-groups” (2011) (1)
- A Tribute to Robert Wayne Thomason 1952–1995 (1997) (1)
- Schur-finiteness in $\lambda$-rings (2010) (1)
- SEVERI ’ S RESULTS ON CORRESPONDENCES (2013) (1)
- Vladimir Voevodsky (2019) (1)
- Principal ideals in mod-$$\ell $$ℓ Milnor K-theory (2015) (1)
- Twisted K-theory, Real $\mathcal{A}$-bundles and Grothendieck-Witt groups (2015) (0)
- Definitions of higher -theory (2013) (0)
- The higher -theory of fields (2013) (0)
- A T ] 7 J un 2 00 1 Homotopy Ends and Thomason Model Categories (2008) (0)
- Hilbert 90 for KnM (2019) (0)
- Tor and Ext (1994) (0)
- AT-THEORY OF HYPERPLANES (2010) (0)
- An Introduction to Homological Algebra: Chain Complexes (1994) (0)
- The Grothendieck group (2013) (0)
- An Overview of the Proof (2019) (0)
- Model Structures for the 𝔸1-homotopy Category (2019) (0)
- Degree Formulas (2019) (0)
- Motives over S (2019) (0)
- Category Theory Language (1994) (0)
- UNSTABLE OPERATIONS IN ÉTALE AND MOTIVIC COHOMOLOGY BERT GUILLOU AND CHUCK WEIBEL (0)
- $K\sb{2}$ measures excision for $K\sb{1}$ (1980) (0)
- Existence of Rost Motives (2019) (0)
- Module structure of the $K$-theory of polynomial-like rings (2022) (0)
- Slices of co‐operations for KGL (2013) (0)
- K F-theory of Categories (2010) (0)
- K F-theory of Categories (2010) (0)
- Existence of Rost Varieties (2019) (0)
- Relative Cartier divisors and Laurent polynomial extensions (2016) (0)
- The Derived Category (1994) (0)
- Cohomology Operations (2019) (0)
- INVARIANTS OF REAL CURVES Dedicated to Paolo Sa,lmon on his 60ih birthday (1991) (0)
- ₁ and ₂ of a ring (2013) (0)
- Symmetric Powers of Motives (2019) (0)
- Foreword to the Special Issues in honor of Andrei Suslin on his 60th birthday (2010) (0)
- Book Review: Cycles, transfers, and motivic homology theories (2001) (0)
- 𝐾-theory of line bundles and smooth varieties (2017) (0)
- An Introduction to Homological Algebra: Derived Functors (1994) (0)
- An Introduction to Homological Algebra: Spectral Sequences (1994) (0)
- Projective modules and vector bundles (2013) (0)
- THE NEGATIVE K-THEORY OF NORMAL (2001) (0)
- Simplicial Methods in Homological Algebra (1994) (0)
- Algebraic K-theory : AMS-IMS-SIAM Joint Summer Research Conference on Algebraic K-Theory, July 13-24, 1997, University of Washington, Seattle (1999) (0)
- The Legacy of Daniel Quillen (2013) (0)
- Computing the Conley Index: a Cautionary Tale (2023) (0)
- An Introduction to Homological Algebra: Group Homology and Cohomology (1994) (0)
- measures excision for (1980) (0)
- The Motivic Group H−1,−1BM (2019) (0)
- Rost Motives and H90 (2019) (0)
- The Fundamental Theorems of higher -theory (2013) (0)
- THE REAL GRADED BRAUER GROUP MAX KAROUBI AND CHARLES WEIBEL (2019) (0)
- Hochschild and Cyclic Homology (1994) (0)
- Motivic Classifying Spaces (2019) (0)
- ON THE COVERING TYPE OF A SPACE MAX KAROUBI AND CHARLES WEIBEL (2016) (0)
- Existence of Norm Varieties (2019) (0)
- Principal ideals in mod- (cid:2) Milnor K -theory (2017) (0)
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