PUBLICATIONS


 # Title Co-authors References Download
66. Patch-density in tensor-triangular geometry M. Gallauer Preprint 2025, 11 pages. pdf, arxiv
65. The Tate Intermediate Value Theorem B. Sanders Preprint 2025, 35 pages. pdf, arxiv
64. Perfect complexes and completion B. Sanders Preprint 2024, 20 pages. pdf, arxiv
63. The spectrum of Artin motives M. Gallauer Transactions of the American Mathematical Society, 378, no 3 (2025), pp. 1733–1754. pdf, arxiv
62. Universal support for triangulated categories P. S. Ocal Comptes Rendus Math. Acad. Sci. Paris, 362 (2024), pp. 635-637. 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: 2025 March 19.
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