Goncalo Tabuada

On Grothendieck's standard conjectures of type C and D in positive characteristic [link]
Proceedings of the American Mathematical Society 147 (2019), no. 12, 5039-5054

Feynman quadrics-motive of the massive sunset graph [link]
with Matilde Marcolli
Journal of Number Theory, 195 (2019), 159-183

A note on the Schur-finiteness of linear sections [link]
Mathematical Research Letters, 25 (2018), no. 1, 237-253

Invariants of noncommutative projective schemes [link]
Moscow Mathematical Journal, 18 (2018), no. 4, 787-797

Noncommutative rigidity [link]
Mathematische Zeitschrift, 289 (2018), no. 3, 1281-1298

A note on Grothendieck's standard conjectures of type C and D [link]
Proceedings of the American Mathematical Society, 146 (2018), no. 4, 1389-1399

Equivariant noncommutative motives [link]
Annals of K-theory, 3 (2018), no. 1, 125-156

Additive invariants of orbifolds [link]
with Michel Van den Bergh
Geometry and Topology, 22 (2018), 3003-3048

Some remarks concerning Voevodsky's nilpotence conjecture [link]
with Marcello Bernardara and Matilde Marcolli
Journal für die reine und angewandte Mathematik, 738 (2018), 299-312

The Gysin triangle via localization and A^1-homotopy invariance [link]
with Michel Van den Bergh
Transactions of the American Mathematical Society, 370 (2018), no. 1, 421-446

Modified mixed realizations, new additive invariants, and periods of dg categories [link]
International Mathematics Research Notices, 34 (2017), 7607-7638

A^1-homotopy invariance of algebraic K-theory with coefficients and du Val singularities [link]
Annals of K-theory, 2 (2017), no. 1, 1-25

Kimura-finiteness of quadric fibrations over smooth curves [link]
C. R. Math. Acad. Sci. Paris, 355 (2017), 628-632
(presented by Christophe Soulé)

A^1-homotopy invariants of corner skew Laurent polynomial algebras [link]
Journal of Noncommutative Geometry 11 (2017), no. 4, 1627-1643

Picard groups, weight structures, and (noncommutative) mixed motives [link]
with Mikhail Bondarko
Documenta Mathematica 22 (2017), 45-66

Bost-Connes systems, Categorification, Quantum statistical mechanics, and Weil numbers [link]
with Matilde Marcolli
Journal of Noncommutative Geometry 11 (2017), no. 1, 1-49

A note on secondary K-theory [link]
Algebra and Number Theory, 10 (2016), no. 4, 887-906

Noncommutative mixed (Artin) motives and their motivic Hopf dg algebras [link]
Selecta Mathematica, 22 (2016), no. 2, 735-764

Algebraic K-theory with coefficients of cyclic quotient singularities [link]
C. R. Math. Acad. Sci. Paris, 354 (2016), 449-452
(presented by Michel Duflo)

Noncommutative numerical motives, Tannakian structures, and motivic Galois groups [link]
with Matilde Marcolli
Journal of the European Mathematical Society 18 (2016), 623-655

Noncommutative motives of separable algebras [link]
with Michel Van den Bergh
Advances in Mathematics, 303 (2016), 1122-1161

K-theory of endomorphisms via noncommutative motives [link]
with Andrew Blumberg and David Gepner
Transactions of the American Mathematical Society 368 (2016), no. 2, 1435-1465

From semi-orthogonal decompositions to polarized intermediate Jacobians via Jacobians of noncommutative motives [link]
with Marcello Bernardara
Moscow Mathematical Journal, 16 (2016), no. 2, 205-235

Chow groups of intersections of quadrics via homological projective duality and (Jacobians of) noncommutative motives [link]
with Marcello Bernardara
Izv. Ross. Akad. Nauk. Ser. Mat. 80 (2016), no. 3, 3-22

A^1-homotopy theory of noncommutative motives [link]
Journal of Noncommutative Geometry 9 (2015), no. 3, 851-875

Bivariant cyclic cohomology and Connes' bilinear pairings in noncommutative motives [link]
Journal of Noncommutative Geometry 9 (2015), no. 2, 265-285

Exponentiation of motivic measures [link]
with Niranjan Ramachandran
Journal of the Ramanujan Mathematical Society 30, (2015), no. 4, 349-360

Weil restriction of noncommutative motives [link]
Journal of Algebra, 430 (2015), 119-152

A^1-homotopy invariants of dg orbit categories [link]
Journal of Algebra, 434 (2015), 169-192

From exceptional collections to motivic decompositions via noncommutative motives [link]
with Matilde Marcolli
Journal für die reine und angewandte Mathematik 701 (2015), 153-167

Unconditional noncommutative motivic Galois groups [link]
with Matilde Marcolli
Hodge theory and classical algebraic geometry. Contemporary Mathematics 647 (2015), 109-115

Noncommutative motives of Azumaya algebras [link]
with Michel Van den Bergh
Journal of the Institute of Mathematics of Jussieu, 14 (2015), no. 2, 379-403

Relations between the Chow motive and the noncommutative motive of a smooth projective variety [link]
with Marcello Bernardara
Journal of Pure and Applied Algebra, 219 (2015), no. 11, 5068-5077

Voevodsky's mixed motives versus Kontsevich's noncommutative mixed motives [link]
Advances in Mathematics, 264 (2014), 506-545

Additive invariants of toric and twisted projective homogeneous varieties via noncommutative motives [link]
Journal of Algebra, 417 (2014), 15-38

A Quillen model for classical Morita theory and a tensor categorification of the Brauer group [link]
with Ivo Dell'Ambrogio
Journal of Pure and Applied Algebra, 218 (2014), no. 12, 2337-2355

Uniqueness of the multiplicative cyclotomic trace [link]
with Andrew Blumberg and David Gepner
Advances in Mathematics, 260 (2014), 191-232

Jacobians of noncommutative motives [link]
with Matilde Marcolli
Moscow Mathematical Journal, 14 (2014), no. 3, 577-594

Galois descent of additive invariants [link]
Bulletin of the London Mathematical Society, 46 (2014), no. 2, 385-395

E_n-regularity implies E_(n-1)-regularity [link]
Documenta Mathematica, 19 (2014), 121-139

Witt vectors and K-theory of automorphisms via noncommutative motives [link]
Manuscripta Mathematica, 143 (2014), no. 3-4, 473-482

Noncommutative motives, numerical equivalence, and semi-simplicity [link]
with Matilde Marcolli
American Journal of Mathematics, 136 (2014), no. 1, 59-75

Noncommutative Artin motives [link]
with Matilde Marcolli
Selecta Mathematica, 20 (2014), 315-358

Morita homotopy theory of C*-categories [link]
with Ivo Dell'Ambrogio
Journal of Algebra, 398 (2014), 162-199

Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives [link]
with Denis-Charles Cisinski
Journal of Noncommutative Geometry 8 (2014), no. 4, 1171-1190

Chow motives versus noncommutative motives [link]
Journal of Noncommutative Geometry 7 (2013), no. 3, 767-786

Fundamental isomorphism conjecture via noncommutative motives [link]
with Paul Balmer
Mathematische Nachrichten, 286 (2013), no. 8-9, 791-798

A universal characterization of higher algebraic K-theory [link]
with Andrew Blumberg and David Gepner
Geometry and Topology, 17 (2013), 733-838

Weil cohomologies and derived dg categories [link]
Journal of Pure and Applied Algebra, 217 (2013), 1294-1302

Products, multiplicative Chern characters, and finite coefficients via noncommutative motives [link]
Journal of Pure and Applied Algebra, 217 (2013), 1279-1293

Kontsevich's noncommutative numerical motives [link]
with Matilde Marcolli
Compositio Mathematica, 148 (2012), 1811-1820

Weight structure on Kontsevich's noncommutative mixed motives [link]
Homology, Homotopy and Applications, 14(2) (2012), 129-142

The fundamental theorem via derived Morita invariance, localization, and A^1-homotopy invariance [link]
Journal of K-Theory, 9 (2012), no. 3, 407-420

Transfer maps and projection formulas [link]
Proceedings of the American Mathematical Society, 140 (2012), 2589-2597

Symmetric monoidal structure on noncommutative motives [link]
with Denis-Charles Cisinski
Journal of K-Theory, 9 (2012), no. 2, 201-268

Tensor triangular geometry of noncommutative motives [link]
with Ivo Dell'Ambrogio
Advances in Mathematics, 229 (2012), no. 2, 1329-1357

Co-representability of the Grothendieck group of endomorphisms functor in the category of noncommutative motives [link]
Homology, Homotopy and Applications, 13(2) (2011), 315-328

Universal suspension via noncommutative motives [link]
Journal of Noncommutative Geometry 5 (2011), no. 4, 573-589

A simple criterion for extending natural transformations to higher K-theory [link]
Documenta Mathematica 16 (2011), 657-668

Nonconnective K-theory via universal invariants [link]
with Denis-Charles Cisinski
Compositio Mathematica 147 (2011), 1281-1320

A universal characterization of the Chern character maps [link]
Proceedings of the American Mathematical Society 139 (2011), 1263-1271

On Drinfeld's DG quotient [link]
Journal of Algebra, 323 (2010), 1226-1240

Homotopy theory of dg categories via localizing pairs and Drinfeld's DG quotient [link]
Homology, Homotopy and Applications, 12(1) (2010), 187-219

Matrix invariants of spectral categories [link]
International Mathematics Research Notices, 13 (2010), 2459-2511

Generalized spectral categories, topological Hochschild homology, and trace maps [link]
Algebraic and Geometric Topology, 10 (2010), 137-213

Differential graded versus simplicial categories [link]
Topology and its Applications, 157 (2010), no. 3, 563-593

Postnikov towers, k-invariants and obstruction theory for dg categories [link]
Journal of Algebra, 321 (2009), no. 12, 3850-3877

Homotopy theory of spectral categories [link]
Advances in Mathematics, 221 (2009), no. 4, 1122-1143

Noncommutative André-Quillen cohomology for differential graded categories [link]
Journal of Algebra, 321 (2009), no. 10, 2926-2942

Homotopy theory of well-generated algebraic triangulated categories [link]
Journal of K-Theory, 3 (2009), no. 1, 53-75

Higher K-theory via universal invariants [link]
Duke Mathematical Journal, 145 (2008), no. 1, 121-206

On the structure of Calabi-Yau categories with a cluster tilting subcategory [link]
Documenta Mathematica, 12 (2007), 193-213

Additive invariants of dg categories [link]
International Mathematics Research Notices 53 (2005), 3309-3339
Addendum: International Mathematics Research Notices (2006), Art. ID 75853
Errata: International Mathematics Research Notices 24 (2007), Art. ID rnm149
(in french)

A Quillen model structure on the category of dg categories [link]
C. R. Math. Acad. Sci. Paris, 340 (2005), 15-19
(presented by Christophe Soulé)
(in french)

[Talks]

Conference Motivic and Equivariant Topology, Swansea, United Kingdom
May 2023

Geometry and Topology seminar, Imperial College London, United Kingdom
March 2023

Algebraic Topology Seminar, University of Warwick, United Kingdom
February 2023

Conference Noncommutative shapes (in honor of Michel Van den Bergh's 61th birthday), Antwerp, Belgium
September 2022

Workshop Algebraic cycles, strings and amplitudes, Isaac Newton Institute, Cambridge, United Kingdom
July 2022

W. Killing and K. Weierstrass Colloquium, Gdańsk, Poland
July 2022

Online seminar Quadratic forms, linear algebraic groups and beyond
July 2022

Algebra seminar, Institut de Mathématiques de Jussieu, Paris, France
February 2022

Workshop Homotopical Algebra and Higher Structures, Oberwolfach, Germany
September 2021

Portuguese Mathematical Society meeting (80th birthday celebration), Lisbon, Portugal
July 2021

Noncommutative Geometry and Topology seminar, Czech Academy of Sciences, Prague, Czech Republic
June 2021

New York City Noncommutative Geometry seminar, New York, United States
January 2021

Workshop Noncommutative motives and telescope-type problems, Hausdorff Research Institute for Mathematics, Bonn, Germany
December 2020

Algebraic Topology seminar, University of Warwick, United Kingdom
December 2020

Seminar on Algebra, Geometry and Physics, Max-Planck-Institut für Mathematik, Germany
August 2020

Summer school Motivic, equivariant, and noncommutative homotopy theory, IHÉS, France
(Three-lecture course)
July 2020

JAMI Workshop Riemann-Roch in characteristic one and related topics, Johns Hopkins University, United States
October 2019

Conference The geometry of derived categories, Liverpool, United Kingdom
September 2019

Workshop Algebraic K-theory, Oberwolfach, Germany
June 2019

Algebraic Geometry seminar, University of Warwick, United Kingdom
January 2019

Colloquium, University of Toronto, Canada
January 2019

Colloquium, Yale University, United States
November 2018

Algebraic and Tropical Geometry seminar, Yale University, United States
November 2018

Conference Equivariant and motivic homotopy theory, Isaac Newton Institute, Cambridge, United Kingdom
August 2018

Algebra and Number theory day, Johns Hopkins University, United States
April 2018

Arbeitsgemeinschaft: Topological Cyclic Homology, Oberwolfach, Germany
April 2018

Algebra and Topology seminar, Université Strasbourg, France
January 2018

Colloquium, University of California at Santa Barbara, United States
January 2018

Colloquium, University of California at San Diego, United States
December 2017

Conference Vector bundles and algebraic curves (VBAC 2017), Essen, Germany
(Four-lecture course)
September 2017

Mathematische Arbeitstagung 2017 (in honor of Yuri I. Manin's 80th birthday), Max-Planck-Institut für Mathematik, Bonn, Germany
June 2017

Workshop K-theory in algebraic geometry and number theory, Hausdorff Research Institute for Mathematics, Bonn, Germany
May 2017

Conference Algebro-Geometric and Homotopical Methods, Institut Mittag-Leffler, Sweden
March 2017

Colloquium, University of Southern California, United States
February 2017

Colloquium, Institut de Mathématiques de Jussieu, Paris, France
January 2017

Algebraic Topology seminar, Université Paris 13, France
January 2017

Conference Noncommutative, derived and homotopical methods in geometry, Antwerp, Belgium
September 2016

International K-theory Conference, Sydney, Australia
August 2016

Conference Interacting Algebraic Geometry, Dijon, France
July 2016

Workshop Algebraic K-theory and motivic cohomology, Oberwolfach, Germany
June 2016

Workshop Triangulated Categories and Applications, Banff Institute, Canada
June 2016

Geometry, physics, and representation theory seminar, Northeastern University, United States
April 2016

Conference Mid-Atlantic Topology, Johns Hopkins University, United States
March 2016

Conference Motives, Tokyo, Japan
February 2016

Algebraic Geometry seminar, Università degli Studi di Milano, Italy
July 2015

Colloquium, University of California at Los Angeles, United States
February 2015

Workshop Cohomological Realizations of Motives, Banff Institute, Canada
December 2014

Colloquium, University of Maryland, United States
October 2014

Algebra and Number Theory seminar, University of Maryland, United States
October 2014

Conference K-theory and related topics, Beijing, China
August 2014

Conference Reimagining the Foundations of Algebraic Topology, MSRI, Berkeley, United States
April 2014

Algebraic Geometry seminar, California Institute of Technology, United States
January 2014

Colloquium, California Institute of Technology, United States
January 2014

Infinite Dimensional Algebraic Geometry seminar, Yale University, United States
September 2013

Conference Homotopical methods in algebraic geometry, University of Southern California, United States
June 2013

Colloquium, University of California, Berkeley, United States
May 2013

Conference Interactions between Noncommutative Algebra and Algebraic Geometry, MSRI, Berkeley, United States
April 2013

Conference Motives, Tokyo, Japan
December 2012

Conference Algebraic Topology, Arolla, Switzerland
August 2012

Conference Periods and Motives, Madrid, Spain
July 2012

Conference Noncommutative Algebraic Geometry and its Applications to Physics, Leiden, Netherlands
March 2012

Colloquium, California Institute of Technology, United States
January 2012

Algebraic Topology seminar, Massachusetts Institute of Technology, United States
November 2011

Seminar on Algebra, Geometry and Physics, Max-Planck-Institut für Mathematik, Germany
July 2011

Conference Triangulated categories and applications, Banff Institute, Canada
June 2011

Representation Theory seminar, Northeastern University, United States
April 2011

Midwest Topology conference, University of Chicago, United States
April 2011

Geometric Langlands seminar, University of Chicago, United States
April 2011

Noncommutative Geometry seminar, California Institute of Technology, United States
March 2011

Noncommutative Algebraic Geometry seminar, Massachusetts Institute of Technology, United States
January 2011

Conference Homotopy theory and derived algebraic geometry, Fields Institute, Toronto, Canada
August 2010

Conference Topics in Noncommutative Geometry, Buenos Aires, Argentine
July 2010

Algebraic Topology seminar, Northwestern University, United States
May 2010

Algebraic Topology seminar, University of Illinois at Urbana-Champaign, United States
April 2010

Algebraic Topology seminar, University of Chicago, United States
April 2010

Algebraic Topology seminar, Massachusetts Institute of Technology, United States
March 2010

Algebraic Topology seminar, Stanford University, United States
May 2009

Algebra seminar, University of California at Los Angeles, United States
May 2009

Conference Cats 3, Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy
September 2008

Algebraic Topology seminar, University of Bonn, Germany
July 2008

Conference Homotopy Structures in Geometry and Algebra, Centre de Recerca Matemàtica, Barcelona, Spain
June 2008

Algebra seminar, Laboratoire J. A. Dieudonné, Nice, France
April 2008