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Lecture Notes:

JAMI 2009: Tate motives and fundamental groups, March 25, 2009.

UCLA Colloquium: a survey of algebraic cobordism, Jan. 22, 2009.

BU Conference on motives QFT and pseudo-differential operators, June 2008

Lecture 1 Cycle complexes

Lecture 2 Motivic categories

Lecture 3 Tate motives.

ICTP school on algebraic K-theory and its applications, May 2007.

Six lectures on motives

French-Asian summer school in algebraic geometry and number theory, I.H.E.S. July 2006.

Six lectures on motives

Conference on Motives and Algebraic Cycles, in honor of Spencer Bloch,

Fields Institute-March 19-23, 2007

Motivic Postnikov towers

A lecture on Voevodsky's slice filtration, its relation to the
homotopy coniveau tower,

with some applications to Severi-Brauer
varieties and central simple algebras.

2nd German-Chinese conference on complex geometry,
Shanghai-Sept. 2006

Algebraic cobordism

A lecture on
algebraic cobordism, including a discussion of
``double-point" cobordism

and an
application to Donaldson-Thomas invariants.

*Three lectures on algebraic cobordism*

Motives and Periods, June 5-12, 2006

UBC, Vancouver

Lecture 1,
Lecture 2,
Lecture 3

Introduction to algebraic cobordism

The first of 3 lectures on algebraic cobordism in the Distinguished Lecture Series

of the
University of Western Ontario Mathematics Department,

Jan. 25-27, 2005.

A summer course in motivic homotopy theory

Algebraic geometry background, Nordfjordeid, 2003

A short course in K-theory

Morelia, 2002

Preprints:

*Smooth Motives
*

Preprint (2008)

*Comparison of cobordism theories
*

Preprint (2008)

*Oriented cohomology, Borel-Moore homology and algebraic cobordism
*

Preprint (2008)

(with Bruno Kahn) *Motives of Azumaya algebras*

Preprint (2007)

(with Hélène Esnault)*
Tate motives and the fundamental group*

Preprint (2007)

(with Amalendu Krishna)
*Additive higher Chow groups of schemes*

Preprint (2006)

(with Rahul Pandharipande)
*Algebraic Cobordism Revisited*

Preprint (2006)

(with Fabien Morel) *Algebraic Cobordism*

(2006). This is a manuscript for a book on algebraic cobordism,

essentially an assembly and
revision of *Algebraic Cobordism I*

and *Algebraic Cobordism II*,
with additional constructions and results.

revised version (2006)

* Motivic Tubular Neighborhoods*

Preprint (2005)

*The homotopy coniveau filtration*

revised version (2005)

(with C. Serpe') *
On a spectral sequence for equivariant K-theory*

Preprint (2005)

*
Steenrod operations, degree formulas and algebraic cobordism*

Preprint (2005)

*Chow's moving lemma in A ^{1} homotopy theory*

Preprint (2004)

*K-theory and motivic cohomology of schemes, I *

Preprint (2004)

*The homotopy coniveau filtration*

Preprint (2003)

(with F. Morel)
*Algebraic cobordism, I*

Preprint (2002), revised version.

*Algebraic cobordism, II *

Preprint (2002)

Selected Publications:

*Mixed Motives*

An expository article in the ** Handbook of K-theory**, vol 1,

E.M. Friedlander, D.R. Grayson, eds.,

429-522. Springer Verlag, 2005.

* A survey of algebraic cobordism*

Proceedings of the International Conference on Algebra.

Algebra Colloq. **11** (2004), no. 1, 79--90.

(with S. Bloch and H. Esnault) * Divisibility of the eigenvalues of
Frobenius acting on étale cohomology of singular projective varieties*

Amer. J. Math.

* Fundamental classes in algebraic cobordism*

K-Theory **30** (2) (2003), 129-135.

* Algebraic cobordism*

Proceedings of the 2002 ICM, August, 2002.

(with F. Morel) *Cobordisme algébrique, I*

C. R. Acad. Sci. Paris Sér. I Math.
**332 **(2001), no. 8, 723--728.

(with F. Morel) *Cobordisme algébrique, II*

C. R. Acad. Sci. Paris Sér. I Math.
**332** (2001), no. 9, 815--820.

*Techniques of localization in the theory of algebraic cycles*

J. Alg. Geom. **10** (2001) 299-363.

*Blowing up monomial ideals*

JPAA **160** (2001) 67-103.

(with T. Geisser)
*The Bloch-Kato conjecture and a theorem of
Suslin-Voevodsky*

Jour. f.d. Reine u. Ang. Math

*Inverting the motivic Bott element*

K-Theory **19 **(2000), no. 1, 1--28.

(with H. Esnault)
*The Steinberg curve*

Amer. J. Math. **122**
(2000), no. 4, 783--804

(with T. Geisser)
*The K-theory of fields in characteristic p*

Invent. Math. **139 **(2000), no. 3, 459--493.

** Mixed Motives**
* On-line version*

Math. Surveys and Monographs **57**, x+515 pp.,
AMS, Prov. 1998.

(with H. Esnault, B. Kahn, E. Viehweg)

*The Arason invariant
and mod 2 algebraic cycles*

J. of the AMS, **11 **no. 1, (1998), 73-118.

*Homology of algebraic varieties: an introduction
to the works of Suslin and Voevodsky*

Bull. Amer. Math. Soc. (N.S.)

* Lambda operations, K-theory and motivic cohomology*

** Algebraic K-Theory,** (volume in memory of R. Thomason)

ed. V. Snaith, Fields Inst. Communications **16** (1997) 131-184.

(with H. Esnault, E. Viehweg)

* Chow groups of projective varieties of very small degree*

Duke Math. J. **87** (1997), no. 1, 29-58.

*The weight two K-theory of fields*

K-theory **9** No. 5, (1995) 443-501.

*Bloch's higher Chow groups revisited*

**K-theory Strasbourg
1992**
Astérisque vol. 226,

ed. C. Kassel, J.L. Loday, N. Schappacher,

Soc. Math. de France(1994) 235-320.

(with H. Esnault)
*Surjectivity of cycle maps*

**Journées de Geométrie Algébrique D'Orsay, Juillet 1992**,

Astérisque vol. 218(1993) 203-226.

*Tate motives and the vanishing conjectures for algebraic K-theory*

**Algebraic K-Theory and Algebraic Topology**,

ed. P.G. Goerss and J.F. Jardine,

NATO ASI Series, Series C, Vol. **407 **(1993) 167-188.

*Note:* These publications are in the form of the final revised manuscript,
*before* any

final correction of page-proofs. For the finished version, please check the
actual journal

article.