- Support theory via actions of tensor triangulated categories, arXiv:1105.4692 (J. Reine Angew. Math.
**681**(2013) 219-254); - Subcategories of singularity categories via tensor actions, arXiv:1105.4698 ( Compos. Math.
**150**(2014) 229-272); - On the derived category of a graded commutative noetherian ring, with I. Dell'Ambrogio,
arXiv:1107.4764 (J. Algebra
**373**(2013) 356-376). - A note on thick subcategories of stable derived categories, with H. Krause,
arXiv:1111.2220 (Nagoya Math. J.
**212**(2013) 87-96); - Even more spectra: tensor triangular comparison maps via graded commutative 2-rings, with I. Dell'Ambrogio,
arXiv:1204.2185 (Appl. Categ. Structures
**22**(2014) 169-210); - Filtrations via tensor actions, arXiv:1206.2721 (Int. Math. Res. Not.
**2018**(2018) no. 8 2535-2558); - Duality for bounded derived categories of complete intersections, arXiv:1206.2724 (Bull. Lond. Math. Soc.
**46**(2014), no. 2, 245-257) - appendix to: D. Benson, S. Iyengar, H. Krause, Module categories for group algebras over commutative rings, arXiv:1208.1291 (J. K-theory
**11**(2013) 297-329) - Derived categories of absolutely flat rings, arXiv:1210.0399 (Homology Homotopy Appl.
**16**(2014), no. 2, 45-64) - The derived category of a graded Gorenstein ring, with J. Burke, arXiv:1507.00830 ("Commutative algebra and noncommutative algebraic geometry (II)", Math. Sci. Res. Inst. Publ.,
**68**(2015), pp. 93-123) - Strong generators in tensor triangulated categories, with J. Steen, arXiv:1409.0645 (Bull. Lond. Math. Soc.
**47**(2015) 607-616) - Derived categories of representations of small categories over commutative noetherian rings, with B. Antieau, arXiv:1507.00456 (Pacific J. Math.
**283**(2016), no. 1, 21-42) - Gorenstein homological algebra and universal coefficient theorems, with I. Dell'Ambrogio and J. Stovicek, arXiv:1510.00426 (Math. Z.
**287**(2017) no. 3-4 1109-1155) - The prime spectra of relative stable module categories, with S. Baland and A. Chirvasitu, arXiv:1511.03164 (to appear in Trans. Amer. Math. Soc.);
- The local-to-global principle for triangulated categories via dimension functions, arXiv:1601.01205 (J. Algebra
**473**(2017) 406-429); - A tour of support theory for triangulated categories through tensor triangular geometry, arXiv:1601.03595 (chapter in "Building Bridges Between Algebra and Topology" Advanced courses in mathematics - CRM Barcelona);
- Comparisons between singularity categories and relative stable categories of finite groups, with S. Baland, arXiv:1601.07727;
- Enrichment and representability for triangulated categories, with J. Steen, arXiv:1604.00880 (to appear in Doc. Math.
**22**(2017) 1031-1062); - On the graded dual numbers, arcs, and non-crossing partitions of the integers, with S. Gratz, arXiv:1611.02070;
- The frame of smashing tensor-ideals, with P. Balmer and H. Krause, arXiv:1701.05937;
- Morita theory and singularity categories, with J.P.C.Greenlees, arXiv:1702.07957;
- Tensor-triangular fields I: Ruminations, with P. Balmer and H. Krause, arXiv:1707.02167;
- Complete Boolean algebras are Bousfield lattices, arXiv:1707.06007;
- The derived category of the projective line, with H. Krause, arXiv:1709.01717;
- Homotopy invariants of singularity categories, with S. Gratz, arXiv:1803.06144;

- • My Ph.D. thesis
- - written under the supervision of Amnon Neeman at the Australian National University. The results from my thesis, some in a slightly stronger form, appear in papers 1 and 2.
- • A proof that if one can make the cone construction in a triangulated category functorial then the category in question is close to being abelian. This fact probably is, or at least should be, well known; a reference can be found in Verdier's thesis (although Verdier assumes the existence of countable products or coproducts).
- • A defunct preprint proving that in a compactly generated tensor triangulated category the collection of Bousfield classes forms a set.
- This note shows that one can generalise the proof of Ohkawa's theorem due to Dwyer and Palmieri to any compactly generated triangulated category. It was superseded by a more general result of Iyengar and Krause.