PUBLICATIONS


 # Title Co-authors References Download
63. The spectrum of Artin motives M. Gallauer Preprint 2023, 20 pages. pdf, arxiv
62. Universal support for triangulated categories P. S. Ocal A result of Gratz and Stevenson, revisited. To appear in the C. R. Math. Acad. Sci. Paris. pdf, arxiv
61. The geometry of permutation modules M. Gallauer Two preprints merged (Part I from 2022, Part II and preamble from 2023), 75 pages. pdf, on arxiv: Part I and Part II
60. Permutation modules, Mackey functors, and Artin motives M. Gallauer In: Representation of Algebras and Related Structures, EMS Press 2023, Chapter 3, pp. 37-75. pdf, arxiv
59. Cohomological Mackey 2-functors I. Dell'Ambrogio Journal of the Institute of Mathematics of Jussieu, 23, no 1 (2024), pp. 279-309. pdf, arxiv
58. Permutation modules and cohomological singularity M. Gallauer Commentarii Mathematici Helvetici, 97, no 3 (2022), pp. 413-430. pdf, arxiv
57. Finite permutation resolutions M. Gallauer Duke Mathematical Journal, 172, no 2 (2023), pp. 201-229. pdf, arxiv
56. Computing homological residue fields in algebra and topology J. Cameron Proceedings of the American Mathematical Society, 149, no 8 (2021), pp. 3177-3185. pdf, arxiv
55. Resolutions by permutation modules D. Benson Archiv der Mathematik, 15, no 5 (2020), pp. 495-498. pdf, arxiv
54. Relative stable categories and birationality G. Stevenson Journal of the London Mathematical Society, 104, no 4 (2021), pp. 1765-1794. pdf, arxiv
53. Green equivalences in equivariant mathematics I. Dell'Ambrogio Mathematische Annalen, 379 (2021), pp. 1315-1342. pdf, arxiv
52. Homological support of big objects in tensor-triangulated categories - Journal de l'École polytechnique - Mathématiques, Tome 7 (2020), pp. 1069-1088. pdf, arxiv
51. Three real Artin-Tate motives M. Gallauer Advances in Mathematics, 406 (2022), 108535. pdf, arxiv
50. A guide to tensor-triangular classification - In: Handbook of Homotopy Theory. Chapman and Hall/CRC (2019), Chapter 4, pp. 147-164. pdf, arxiv
49. Mackey 2-functors and Mackey 2-motives I. Dell'Ambrogio EMS Monographs in Mathematics, European Mathematical Society (2020), 235 pages. pdf, arxiv
48. Nilpotence theorems via homological residue fields - Tunisian Journal of Mathematics, 2, no 2 (2020), pp. 359-378. dvi, pdf, arxiv
47. Tensor-triangular fields: Ruminations H. Krause and G. Stevenson Selecta Mathematica, 25, no 1 (2019), 25:13 (36 pages). dvi, pdf, arxiv
46. On the surjectivity of the map of spectra associated to a tensor-triangulated functor - Bulletin of the London Mathematical Society, 50, no 3 (2018), pp. 487-495. dvi, pdf, arxiv
45. Separable commutative rings in the stable module category of cyclic groups J. Carlson Algebras and Representation Theory, 21, no 2 (2018), pp. 399-417. dvi, pdf, arxiv
44. The frame of smashing tensor-ideals H. Krause and G. Stevenson Mathematical Proceedings of the Cambridge Philosophical Society, 168, no 2 (2020), pp. 323-343. dvi, pdf, arxiv
43. Affine space over triangulated categories: A further invitation to Grothendieck derivators J. Zhang Journal of Pure and Applied Algebra, 221, no 7 (2017), pp. 1560-1564. dvi, pdf, arxiv
42. Endotrivial representations of finite groups and equivariant line bundles on the Brown complex - Geometry & Topology, 22, no 7 (2018), pp. 4145-4161. dvi, pdf, arxiv
41. The spectrum of the equivariant stable homotopy category of a finite group B. Sanders Inventiones Mathematicae, 208, no. 1 (2017), pp. 283-326. dvi, pdf, arxiv
40. Grothendieck-Neeman duality and the Wirthmüller isomorphism I. Dell'Ambrogio and B. Sanders Compositio Mathematica, 152, no 8 (2016), pp. 1740-1776. dvi, pdf, arxiv
39. The derived category of an étale extension and the separable Neeman-Thomason theorem - Journal of the Institute of Mathematics of Jussieu, 15, no 03 (2016), pp. 613-623. dvi, pdf, arxiv
38. Restriction to finite-index subgroups as étale extensions in topology, KK-theory and geometry I. Dell'Ambrogio and B. Sanders Algebraic and Geometric Topology, 15, no 5 (2015), pp. 3023-3045. dvi, pdf, arxiv
37. Separable extensions in tensor-triangular geometry and generalized Quillen stratification - Annales Scientifiques de l'École Normale Supérieure, 49, no 4 (2016), pp. 907-925. dvi, pdf, arxiv
36. Splitting tower and degree of tt-rings- Algebra and Number Theory, 8, no 3 (2014), pp. 767-779. dvi, pdf, arxiv
35. Stacks of group representations - Journal of the European Mathematical Society, 17, no 1 (2015), pp. 189-228. dvi, pdf, arxiv
34.Tensor triangular Chow groups- Journal of Geometry and Physics, 72 (2013), pp. 3-6. dvi, pdf, ps
33. Modular representations of finite groups with trivial restriction to Sylow subgroups - Journal of the European Mathematical Society, 15, no 6 (2013), pp. 2061-2079. dvi, pdf, ps
32. Bases of total Witt groups and lax-similitude B. Calmès Journal of Algebra and its Applications, 11, no 3 (2012), 1250045, 24 pages. dvi, pdf, ps
31. Fundamental isomorphism conjecture via non-commutative motives G. Tabuada Mathematische Nachrichten, 286, nos 8-9 (2013), pp. 791-798. dvi, pdf, ps
30. Tensor triangular geometry - Proceedings ICM, Hyderabad (2010), Vol. II, pp. 85-112. dvi, pdf, ps
29. Descent in triangulated categories - Mathematische Annalen, 353, no 1 (2012), pp. 109-125. dvi, pdf, ps
28. Separability and triangulated categories - Advances in Mathematics 226, no 5 (2011), pp. 4352-4372. dvi, pdf, ps
27. Generalized tensor idempotents and the telescope conjecture G. Favi Proceedings of the London Mathematical Society (3), 102, no 6 (2011), pp. 1161-1185. dvi, pdf, ps
26. Spectra, spectra, spectra - Tensor triangular spectra versus Zariski spectra of endomorphism rings - Algebraic and Geometric Topology 10, no 3 (2010), pp. 1521-1563. dvi, pdf, ps
25. Picard groups in triangular geometry and applications to modular representation theory - Transactions of the American Mathematical Society 362, no 7 (2010), pp. 3677-3690. dvi, pdf, ps
24. Witt groups of Grassmann varieties B. Calmès Journal of Algebraic Geometry, 21, no 4 (2012), pp. 601-642. dvi, pdf, ps
23. Geometric description of the connecting homomorphism for Witt groups B. Calmès Documenta Mathematica 14 (2009), pp. 525-550. pdf
22. Niveau spectral sequences on singular schemes and failure of generalized Gersten conjecture - Proceedings of the American Mathematical Society 137, no 1 (2009), pp. 99-106. dvi, pdf, ps
21. Gluing representations via idempotent modules and constructing endotrivial modules D. Benson and J. Carlson Journal of Pure and Applied Algebra 213, no 2 (2009), pp. 173-193. dvi, pdf, ps
20. Gluing techniques in triangular geometry G. Favi Quarterly Journal of Mathematics 58, no 4 (2007), pp. 415-441. dvi, pdf, ps
19. Supports and filtrations in algebraic geometry and modular representation theory - American Journal of Mathematics 129, no 5 (2007), pp. 1227-1250. dvi, pdf, ps
18.The spectrum of prime ideals in tensor triangulated categories-Journal für die Reine und Angewandte Mathematik 588 (2005), pp. 149-168. dvi, pdf, ps
17. Products of degenerate quadratic forms - Compositio Mathematica 141, no 6 (2005), pp. 1374-1404. dvi, pdf, ps
16. Shifted Witt groups of semi-local rings R. Preeti Manuscripta Mathematica 117, no 1 (2005), pp. 1-27. dvi, pdf, ps
15. Koszul complexes and symmetric forms over the punctured affine space S. Gille Proceedings of the London Mathematical Society 91, no 2 (2005), pp. 273-299. dvi, pdf, ps
14. Witt groups - In: Handbook of K-Theory, Springer (2005), vol. 2, pp. 539-576. dvi, pdf, ps
13. Model theoretic reformulation of the Baum-Connes and Farrell-Jones conjectures M. Matthey Advances in Mathematics 189, no 2 (2004), pp. 495-500. dvi, pdf, ps
12. Codescent theory II: Cofibrant approximations M. Matthey Homology, Homotopy and Applications 8, no 1 (2006), pp. 211-242. dvi, pdf, ps
11. Codescent theory I: Foundations M. Matthey Topology and its Applications 145 (2004), pp. 11-59. dvi, pdf, ps
10. An introduction to triangular Witt groups and a survey of applications - In: "Algebraic and arithmetic theory of quadratic forms", Talca (Chile) 2002,
Contemporary Mathematics 344 (2004), pp. 31-58. 		dvi, pdf, ps
9. The Gersten conjecture for Witt groups in the equicharacteristic case S. Gille, I. Panin and C. Walter Documenta Mathematica 7 (2002), pp. 203-217. dvi, pdf, ps
8. Vanishing and nilpotence of locally trivial symmetric spaces over regular schemes - Commentarii Mathematici Helvetici 78, no 1 (2003), pp. 101-115. dvi, pdf, ps
7. Presheaves of triangulated categories and reconstruction of schemes - Mathematische Annalen 324, no 3 (2002), pp. 557-580. dvi, pdf, ps
6. Witt cohomology, Mayer-Vietoris, homotopy invariance and the Gersten conjecture - K-Theory 23, no 1 (2001), pp. 15-30. dvi, pdf, ps
5. Idempotent completion of triangulated categories M. Schlichting Journal of Algebra 236, no 2 (2001), pp. 819-834. dvi, pdf, ps
+ fig. (p.5)
4. A Gersten-Witt spectral sequence for regular schemes C. Walter Annales Scientifiques de l'École Normale Supérieure vol. 35, no 1 (2002), pp. 127-152. dvi, pdf, ps
3. Triangular Witt groups. Part II: From usual to derived - Mathematische Zeitschrift 236, no 2 (2001), pp. 351-382. dvi, pdf, ps
2. Triangular Witt groups. Part I: The 12-term localization exact sequence - K-Theory 19, no 4 (2000), pp. 311-363. dvi, pdf, ps
1. Derived Witt groups of a scheme - Journal of Pure and Applied Algebra 141, no 2 (1999), pp. 101-129. dvi, pdf, ps
0. Groupes de Witt dérivés d'un schéma - Ph.D. thesis, University of Lausanne, Switzerland, in French, 130 pages, 1998. Ask for a copy
-1.Triangulated categories with several triangulations-Recurrent question, answered long ago by A. Heller, revisited in the algebraic case, 2 pages (2002).dvi, pdf, ps
-2. An invitation to tensor-triangular geometry - Notices of the AMS, November 2017, Vol. 64, Issue 10. Notices online
-3.The spectrum of Artin motives over finite fieldsM. GallauerAnnouncement of a result that will appear in paper 63, on Artin-Tate motives, 2 pages (2020).pdf
-4. Examples of tensor-triangulated categories - Notes accompanying a video about tensor-triangular geometry's natural habitat, 5 pages (2021). pdf
Some of my papers are on the arXiv.

Last update: 2024 January 19.
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