# Vigleik Angeltveit

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## About

I graduated from Massachusetts Institute of Technology in 2006. Then I spent some time at the University of Chicago, before coming to ANU in 2011.

## Affiliations

- Algebra & topology, Researcher

## Research interests

I work in algebraic topology. In particular, I'm interested in using methods from stable homotopy theory to understand algebraic K-theory.

## Projects

- Algebraic topology, Supervisor
- Complex cobordism & stable homotopy, Supervisor
- Kervaire invariant one problem, Supervisor
- Model Categories, Supervisor
- Model categories in algebraic topology, Supervisor
- Spectral Sequences in Algebraic Topology, Supervisor

## Supervised students

## Location

Room 4.60, Hanna Neumann Building 145

## Publications

### Publications

- Angeltveit, V, 2015, 'The norm map of Witt vectors', Comptes Rendus Mathematique, vol. 353, no. 5, pp. 381–386.
- Angeltveit, V, Gerhardt, T, Hill, M & Lindenstrauss, A, 2014 'On the algebraic K-theory of truncated polynomial algebras in several variables', J. K-Theory 13, no. 1, 57–81.
- Angeltveit, V & Gerhardt, T 2011, 'RO(S1)-graded TR-groups of Fp, Z and ℓ', Journal of Pure and Applied Algebra, vol. 215, no. 6, pp. 1405-1419.
- Angeltveit, V 2011, 'Uniqueness of Morava K-theory', Compositio Mathematica, vol. 147, no. 02, pp. 633-648.
- Angeltveit, V & Gerhardt, T 2011, 'On the Algebraic
*K*-Theory of the Coordinate Axes over the Intergers', Homology, Homotopy and Applications, vol. 13, no. 2, pp. 103-111. - Angeltveit, V, Hill, M & Lawson, T 2010, 'Topological Hochschild homology of ℓ and k
*o*', American Journal of Mathematics, vol. 132, no. 2, pp. 297-330. - Angeltveit, V 2009, 'The cyclic bar construction on A∞ H-spaces', Advances in Mathematics, vol. 222, no. 5, pp. 1589-1610.
- Angeltveit, V, Hill, M & Lawson, T 2009, 'The spectra k
*o*and k*u*are not Thom spectra: an approach using THH', Geometry and Topology Monographs, vol. 16, pp. 1-8. - Angeltveit, V, Gerhardt, T & Hesselholt, L 2009, 'On the K-theory of truncated polynomial algebras over the integers', Journal of Topology, vol. 2, no. 2, pp. 277-294.
- Angeltveit, V 2008, 'Enriched Reedy Categories', Proceedings of the American Mathematical Society, vol. 136, no. 7, pp. 2323-2332.
- Angeltveit, V 2008, 'Topological Hochschild homology and cohomology of A∞ ring spectra', Geometry and Topology, vol. 12, no. 2, pp. 987-1032.
- Angeltveit, V & Rognes, J 2005, 'Hopf algebra structure on topological Hochschild homology', Algebraic and Geometric Topology, vol. 5, pp. 1223-1290.

### Preprints

- Angeltveit, V, & Bohmann, A. M., 'Graded Tambara Functors', ArXiv:1504.00668.
- Angeltveit, V, & Lind, J., 'Uniqueness of BP', ArXiv:1501.01448.
- Angeltveit, V, 'On the K-theory of truncated polynomial rings in non-commuting variables', ArXiv:1409.4157.
- Angeltveit, V, 'Witt vectors and truncation posets', ArXiv:1409.4156.
- Angeltveit, V, Blumberg, A, Gerhardt, T, Hill, M, Lawson, T & Mandell, M, 'Relative cyclotomic spectra and topological cyclic homology via the norm', ArXiv:1401.5001.
- Angeltveit, V, Blumberg, A, Gerhardt, T, Hill, M & Lawson, T, 'Interpreting the Bokstedt smash product as the norm', ArXiv:1206.4218.
- Angeltveit, V 'On the algebraic K-theory of Witt vectors of finite length', ArXiv:1101.1866.