Homepage of Thomas Hüttemann

25 The "fundamental theorem" for the higher algebraic \(K\)-theory of strongly \(\mathbb{Z}\)-graded rings
to appear in Documenta Mathematica
arXiv version: arXiv:2003.01506

24 Non-commutative localisation and finite domination over strongly \(\mathbb{Z}\)-graded rings
to appear in Homology, Homotopy and Applications
arXiv version: arXiv:1809.07118

23 An elementary description of \(K_1(R)\) without elementary matrices
with Zuhong Zhang
Algebra and Discrete Mathematics 30 no. 1 (2020), pp. 79–82
DOI 10.12958/adm1568 (download PDF file), arXiv version: arXiv:1910.02771

22 The algebraic K-theory of the projective line associated with a strongly \(\mathbb{Z}\)-graded ring
with Tasha Montgomery
J. Pure Appl. Algebra 224 no. 12 (2020), Article 106425 (20 pages)
DOI 10.1016/j.jpaa.2020.106425, arXiv version: arXiv:1810.06272

21 A “quite superfluous” characterisation of the Jacobson radical of an associative ring
Communications in Algebra 47 no. 11 (2019), pp. 4740–4742
DOI 10.1080/00927872.2019.1593429, arXiv version: arXiv:1707.04601

20 Algebraic jump loci for rank and Betti numbers over Laurent polynomial rings
with Zuhong Zhang
J. Pure Appl. Algebra 223 no. 10 (2019), pp. 4446–4457
DOI 10.1016/j.jpaa.2019.01.015, arXiv version: arXiv:1703.04687

19 Finite domination and Novikov homology over strongly \(\mathbb{Z}\)-graded ring
with Luke Steers
Israel Journal of Mathematics 221 no. 2 (2017), pp. 661–685
DOI 10.1007/s11856-017-1569-9, arXiv version: arXiv:1602.02573

18 Triangular objects and systematic K-theory
with Zuhong Zhang
Communications in Algebra 45 no. 7 (2017), pp. 2757–2774
DOI 10.1080/00927872.2016.1226870, arXiv version: arXiv:1501.05185

17 Finite domination and Novikov rings. Laurent polynomial rings in several variables
with David Quinn
J.  Pure Appl. Algebra 220 no. 7 (2016), pp. 2648–2682 DOI 10.1016/j.jpaa.2015.12.004, arXiv version: arXiv:1410.4352

16 Vector bundles on the projective line and finite domination of chain complexes
Mathematical Proceedings of the Royal Irish Academy 115A (2015), no. 1, Art. 2 (12 pages)
DOI 10.3318/pria.2015.115.2, arXiv version: arXiv:1403.2279

15 Finite domination and Novikov rings. Laurent polynomial rings in two variables
with David Quinn
Journal of Algebra and Its Applications 14 (2015), Arcticle 1550055
DOI 10.1142/S0219498815500553, arXiv version: arXiv:1211.4994

14 On Quillen's calculation of graded K-theory
with Roozbeh Hazrat
Journal of Homotopy and Related Structure 8 no. 2 (2013), pp. 231–238
DOI 10.1007/s40062-012-0020-5, arXiv version: arXiv:1103.6132

13 A note on the graded K-theory of certain graded rings
Communications in Algebra 41 no. 8 (2013), pp. 2991–2995
DOI 10.1080/00927872.2012.668598, arXiv version: arXiv:1102.1831

12 Finite domination and Novikov rings. Iterative approach
(with David Quinn)
Glasgow Mathematical Journal 55 no. 1 (2013), pp. 145–160
DOI 10.1017/S0017089512000419, arXiv version: arXiv:1108.2995

11 A splitting result for the algebraic K-theory of projective toric schemes
Journal of Homotopy and Related Structure 7 no. 1 (2012), pp. 1–30
DOI 10.1007/s40062-012-0003-6, arXiv version: arXiv:1007.5231

10 Double complexes and vanishing of Novikov cohomology
Serdica Mathematical Journal 37 no. 4 (2011), pp. 295–304
arXiv version: arXiv:1108.5942

9 On the derived category of a regular toric scheme
Geometriae Dedicata 148 no. 1 (2010), pp. 175–203
DOI 10.1007/s10711-009-9389-7, arXiv version: arXiv:0805.4089

8 K-Theory of non-linear projective toric varieties
Forum Mathematicum 21 no. 1 (2009), pp. 67–100
DOI 10.1515/FORUM.2009.004, arXiv version: arXiv:math/0508431

7 A cohomological interpretation of Brion's formula
Homology, Homotopy and Applications 9 no. 2 (2007), pp. 321–336
arXiv version: arXiv:math/0607464

6 The Linearisation Map in Algebraic K-Theory
Forum Mathematicum 18 no. 1 (2006), pp. 137–151
DOI 10.1515/FORUM.2006.009
arXiv version: arXiv:math/0508469

5 Total Cofibres of Diagrams of Spectra
New York Journal of Mathematics 11 (2005), pp. 333–343
DOI 10.1023/B:KTHE.0000022924.43719.5d
arXiv version: arXiv:math/0508406

4 Finiteness of Total Cofibres
K-Theory 31 (2004), pp. 101–123
DOI 10.1023/B:KTHE.0000022924.43719.5d

3 Algebraic K-Theory of Non-Linear Projective Spaces
J. Pure Appl. Algebra 170 (2002), pp. 185–242/
DOI 10.1016/S0022-4049(01)00088-3

2 The Fundamental Theorem for the Algebraic K-Theory of Spaces II: the Canonical Involution
(with J. Klein, W. Vogell, F. Waldhausen, B. Williams)
J. Pure Appl. Algebra 167 (2002), pp. 53–82
DOI 10.1016/S0022-4049(01)00067-6

1 The Fundamental Theorem for the Algebraic K-Theory of Spaces I
(with J. Klein, W. Vogell, F. Waldhausen and B. Williams)
J. Pure Appl. Algebra 160 (2001), pp. 21–52
DOI 10.1016/S0022-4049(00)00058-X

1 Enumerative combinatorics, Volume I (Second Edition)
Ir. Math. Soc. Bull. 70, pp. 51–53 (2012).

• Annihilators in \(\mathbb{N}^k\)-graded and \(\mathbb{Z}^k\)-graded rings
  arXiv:1703.01796 (download PDF file)