Daniel G. Quillen의 정보
수상나이 38
출생년도 1940
사망년도
출생지 Orange, New Jersey(USA)
현재소속 Massachusetts Institute of Technology
연구실적 [자세히 보기]
관련출판물 1.H Bass, The Fields medals II : Solving geometry problems with algebra, Science 202 (4367) (1978), 505-506.

2.I M James, The work of Daniel Quillen, Proceedings of the International Congress of Mathematicians, Helsinki 1978 (Helsinki, 1980), 65-67.

3.M Kervaire, On the mathematical work of Daniel Quillen, Jahrbuch Uberblicke Mathematik, 1979 (Mannheim, 1979), 165-168.

4.G Nishida, Works of D Quillen (Japanese), Sugaku 31 (1) (1979), 29-33.

시상내역 The prime architect of the higher algebraic K-theory, a new tool that successfully employed geometric and topological methods and ideas to formulate and solve major problems in algebra, particularly ring theory and module theory.
Other Award
연구단행본 [1] Cuntz, Joachim; Quillen, Daniel Operators on noncommutative differential forms and cyclic homology. Geometry, topology, & physics, 77--111, Conf. Proc. Lecture Notes Geom. Topology, IV, Internat. Press, Cambridge, MA, 1995. 19D55 (18G60 46L87 58B30)
[2] Quillen, D. Chern-Simons forms and cyclic cohomology. The interface of mathematics and particle physics (Oxford, 1988), 117--134, Inst. Math. Appl. Conf. Ser. New Ser., 24, Oxford Univ. Press, New York, 1990. 19D55 (18G99 19E20 55N15 58B30)
[3] The interface of mathematics and particle physics. Proceedings of the IMA Conference held at the University of Oxford, Oxford, September 1988. Edited by D. G. Quillen, G. B. Segal and S. T. Tsou. The Institute of Mathematics and its Applications Conference Series. New Series, 24. The Clarendon Press, Oxford University Press, New York, 1990. ix+230 pp. ISBN: 0-19-853626-7 00B25 (81-06)
[4] Quillen, Daniel Characteristic classes of representations. Algebraic K-theory (Proc. Conf., Northwestern Univ., Evanston, Ill., 1976), pp. 189--216. Lecture Notes in Math., Vol. 551, Springer, Berlin, 1976. 20J05 (14F05)
[5] Grayson, Daniel Higher algebraic $K$-theory. II (after Daniel Quillen). Algebraic $K$-theory (Proc. Conf., Northwestern Univ., Evanston, Ill., 1976), pp. 217--240. Lecture Notes in Math., Vol. 551, Springer, Berlin, 1976. 18F25
[6] Quillen, Daniel Cohomology of groups. Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 2, pp. 47--51. Gauthier-Villars, Paris, 1971. 55F40 (18H10)
[7] Quillen, D. Letter from Quillen to Milnor on ${\rm Im}(\pi \sb{i}0\rightarrow \pi \sb{i}\sp{{\rm s}}\rightarrow K\sb{i}Z)$. Algebraic $K$-theory (Proc. Conf., Northwestern Univ., Evanston, Ill., 1976), pp. 182--188. Lecture Notes in Math., Vol. 551, Springer, Berlin, 1976. 55E45
[8] Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo The integrability of characteristics. Comm. Pure Appl. Math. 23 no. 1 (1970), 39--77. 58H05 (17B65)
[9] Ferrand, Daniel Les modules projectifs de type fini sur un anneau de polynômes sur un corps sont libres (d'après D. Quillen (Invent. Math. 36 (1976), 167--171) et A. A. Suslin (Dokl. Akad. Nauk SSSR 229 (1976), no. 5, 1063--1066)). Séminaire Bourbaki, Vol. 1975/76, 28ème année, Exp. No. 484, pp. 202--221. Lecture Notes in Math., Vol. 567. Springer, Berlin, 1977. 13F20 (13C10)
[10] Quillen, Daniel Higher algebraic $K$-theory. Proceedings of the International Congress of Mathematicians (Vancouver, B. C., 1974), Vol. 1, pp. 171--176. Canad. Math. Congress, Montreal, Que., 1975. 18F25
[11] Quillen, Daniel Finite generation of the groups $K\sb{i}$ of rings of algebraic integers. Algebraic $K$-theory, I: Higher $K$-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972), pp. 179--198. Lecture Notes in Math., Vol. 341, Springer, Berlin, 1973. 18F25
[12] Quillen, Daniel Higher algebraic $K$-theory. I. Algebraic $K$-theory, I: Higher $K$-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972), pp. 85--147. Lecture Notes in Math., Vol. 341, Springer, Berlin 1973. 18F25
[13] Quillen, Daniel Higher $K$-theory for categories with exact sequences. New developments in topology (Proc. Sympos. Algebraic Topology, Oxford, 1972), pp. 95--103. London Math. Soc. Lecture Note Ser., No. 11, Cambridge Univ. Press, London, 1974. 18F25 (55D35)
[14] Quillen, Daniel On the (co-) homology of commutative rings. 1970 Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVII, New York, 1968) pp. 65--87. Amer. Math. Soc., Providence, R.I. 13.90 (18.00)
[15] Quillen, Daniel G. Homotopical algebra. Lecture Notes in Mathematics, No. 43 Springer-Verlag, Berlin-New York 1967 iv+156 pp. (not consecutively paged). 18.20 (55.00)
[16] Special issues dedicated to Daniel Quillen on the occasion of his sixtieth birthday. Part V. $K$-Theory 21 (2000), no. 4. Kluwer Academic Publishers Group, Dordrecht, 2000. pp. i--ii and 301--417. 00B30 (19-06 57-06)
[17] Special issues dedicated to Daniel Quillen on the occasion of his sixtieth birthday. Part IV. $K$-Theory 20 (2000), no. 4. Kluwer Academic Publishers Group, Dordrecht, 2000. pp. i--ii and 299--370. 19-06 (00B30)
[18] Special issues dedicated to Daniel Quillen on the occasion of his sixtieth birthday. Part III. $K$-Theory 20 (2000), no. 3. Kluwer Academic Publishers Group, Dordrecht, 2000. pp. i--ii and 201--298. 19-06 (00B30)
[19] Special issues dedicated to Daniel Quillen on the occasion of his sixtieth birthday. Part II. $K$-Theory 20 (2000), no. 2. Kluwer Academic Publishers Group, Dordrecht, 2000. pp. i--ii and 97--200. 19-06 (00B30)
[20] Special issues dedicated to Daniel Quillen on the occasion of his sixtieth birthday. Part I. $K$-Theory 20 (2000), no. 1. Kluwer Academic Publishers Group, Dordrecht, 2000. pp. i--iv and 1--95. 19-06
연구논문
Quillen, Daniel   Quaternionic algebra and sheaves on the Riemann sphere   Quart. J. Math. Oxford Ser. (2)   49   194   (1998)   163-198   14H60, 14F05
Cuntz, Joachim;Quillen, Daniel   Excision in bivariant periodic cyclic cohomology   Invent. Math.   127   1   (1997)   67-98   19D55, 46L80, 46L85
Quillen, Daniel   $Ksb 0$ for nonunital rings and Morita invariance   J. Reine Angew. Math.   472     (1996)   197-217   19A49, 16E20
Quillen, Daniel   Bivariant cyclic cohomology and models for cyclic homology types   J. Pure Appl. Algebra   101   1   (1995)   1-33   18G60, 16E40, 19D55
Cuntz, Joachim;Quillen, Daniel   Cyclic homology and nonsingularity   J. Amer. Math. Soc.   8   2   (1995)   373-442   19D55, 16E40, 18G60
Cuntz, Joachim;Quillen, Daniel   Algebra extensions and nonsingularity   J. Amer. Math. Soc.   8   2   (1995)   251-289   19D55, 16E40, 46L87, 58B30
Cuntz, Joachim;Quillen, Daniel   On excision in periodic cyclic cohomology. II. The general case   C. R. Acad. Sci. Paris S?r. I Math.   318   1   (1994)   11-12   19D55
Cuntz, Joachim;Quillen, Daniel   On excision in periodic cyclic cohomology   C. R. Acad. Sci. Paris S?r. I Math.   317   10   (1993)   917-922   19D55
Quillen, Daniel   Cyclic cohomology and algebra extensions   $K$-Theory   3   3   (1989)   205-246   19D55, 18G15, 58G12
Quillen, Daniel   Algebra cochains and cyclic cohomology   Inst. Hautes ?tudes Sci. Publ. Math.     68   (1988)   139-174   18F25, 19D55, 19E20, 19L10, 55U99
Quillen, Daniel   Superconnection character forms and the Cayley transform   Topology   27   2   (1988)   211-238   58G12, 19L10, 47A99, 57R20
Mathai, Varghese;Quillen, Daniel   Superconnections, Thom classes, and equivariant differential forms   Topology   25   1   (1986)   85-110   58A10, 32L10, 53C05, 57R20, 58G99
Quillen, Daniel   Superconnections and the Chern character   Topology   24   1   (1985)   89-95   58A10, 53C05, 55R50, 58A50
Loday, Jean-Louis;Quillen, Daniel   Cyclic homology and the Lie algebra homology of matrices   Comment. Math. Helv.   59   4   (1984)   569-591   17B56, 18F25, 19D55, 58G99
Kvillen, D.   Determinants of Cauchy-Riemann operators on Riemann surfaces   Funktsional. Anal. i Prilozhen.   19   1   (1985)   37-41   32F99, 58G99
Loday, Jean-Louis;Quillen, Daniel   Cyclic homology and homology of the Lie algebra of matrices   C. R. Acad. Sci. Paris S?r. I Math.   296   6   (1983)   295-297   17B56, 18F25
Quillen, Daniel   Homotopy properties of the poset of nontrivial $p$-subgroups of a group   Adv. In Math.   28   2   (1978)   101-128   20J99
Guillemin, Victor W.;Quillen, Daniel;Sternberg, Shlomo   The integrability of characteristics   Comm. Pure Appl. Math.   23   1   (1970)   39-77   58H05, 17B65
Quillen, Daniel   Projective modules over polynomial rings   Invent. Math.   36     (1976)   167-171   13C10
Quillen, Daniel   A cohomological criterion for $p$-nilpotence   J. Pure Appl. Algebra   1   4   (1971)   361-372   20J05, 20D15
Quillen, Daniel   On the cohomology and $K$-theory of the general linear groups over a finite field   Ann. of Math. (2)   96     (1972)   552-586   20J05, 18F25, 55B15
Quillen, Daniel   The spectrum of an equivariant cohomology ring. I, II   Ann. of Math. (2)   94     (1971)   549-602   57F10, 20J05, 57D85
Quillen, D.;Venkov, B. B.   Cohomology of finite groups and elementary abelian subgroups   Topology   11     (1972)   317-318   20J10
Quillen, Daniel   The ${rm mod}$ $2$ cohomology rings of extra-special $2$-groups and the spinor groups   Math. Ann.   194     (1971)   197-212   57.40
Quillen, Daniel   Elementary proofs of some results of cobordism theory using Steenrod operations   Advances in Math.   7     (1971)   29-56   57.10
Quillen, Daniel   The Adams conjecture   Topology   10     (1971)   67-80   55.30
Quillen, Daniel   Rational homotopy theory   Ann. of Math. (2)   90     (1969)   205-295   55.40
Quillen, Daniel   On the formal group laws of unoriented and complex cobordism theory   Bull. Amer. Math. Soc.   75     (1969)   1293-1298   57.10
Quillen, Daniel G.   An application of simplicial profinite groups   Comment. Math. Helv.   44     (1969)   45-60   55.45, 57.00
Quillen, Daniel G.   On the endormorphism ring of a simple module over an enveloping algebra   Proc. Amer. Math. Soc.   21     (1969)   171-172   16.40, 14.00
Quillen, Daniel G.   The geometric realization of a Kan fibration is a Serre fibration   Proc. Amer. Math. Soc.   19     (1968)   1499-1500   55.50
Quillen, Daniel G.   On the representation of hermitian forms as sums of squares   Invent. Math.   5     (1968)   237-242   10.16
Quillen, Daniel G.   On the associated graded ring of a group ring   J. Algebra   10     (1968)   411-418   20.56, 17.00
Quillen, Daniel G.   Some remarks on etale homotopy theory and a conjecture of Adams   Topology   7     (1968)   111-116   55.50
Guillemin, Victor W.;Quillen, Daniel;Sternberg, Shlomo   The classification of the irreducible complex algebras of infinite type   J. Analyse Math.   18     (1967)   107-112   17.30
Guillemin, V.;Quillen, D.;Sternberg, S.   The classification of the complex primitive infinite pseudogroups   Proc. Nat. Acad. Sci. U.S.A.   55     (1966)   687-690   57.70, 53.45
Bousfield, A. K.;Curtis, E. B.;Kan, D. M.;Quillen, D. G.;Rector, D. L.;Schlesinger, J. W.   The ${rm mod}-p$ lower central series and the Adams spectral sequence   Topology   5     (1966)   331-342   55.40
Quillen, D. G.   Spectral sequences of a double semi-simplicial group   Topology   5     (1966)   155-157   55.52