Publications:
The R(S^1)-graded equivariant homotopy of THH(F_p) Algebraic and Geometric Topology 8(4):1961-1987, 2008. Published version or arXiv. Stable Categories and Structured Ring Spectra
Co-edited together with A. Blumberg and M. Hill
MSRI Book Series Number 69, Cambridge University Press, 2022.
Grants:
National Science Foundation Research Training Groups (RTG) Grant, co-PI
RTG: Algebraic and Geometric Topology at Michigan State
2022-2027
National Science Foundation Research Grant
Algebraic K-Theory, Topological Hochschild Homology, and Equivariant Homotopy Theory
2021-2024
National Science Foundation Focused Research Group (FRG) Grant, co-PI
Trace Methods and Applications for Cut-and-Paste K-Theory
2021-2024
National Science Foundation Research Grant
Algebraic K-Theory and Equivariant Homotopy Theory
2018-2021
National Science Foundation CAREER Grant
Equivariant Homotopy and Algebraic K-Theory
2012-2018
National Science Foundation Research Grant
Algebraic K-Theory and Equivariant Homotopy Theory
2010-2013
National Science Foundation Graduate Research Fellowship
2004-2007
National Defense Science and Engineering Graduate Fellowship
2002-2004
On the K-theory of truncated polynomial algebras over the integers Joint with V. Angeltveit and L. Hesselholt Journal of Topology 2(2):277-294, 2009. Published version or arXiv.
RO(S^1)-graded TR-groups of F_p, Z, and l Joint with V. Angeltveit
Journal of Pure and Applied Algebra, 215(6):1405-1419, 2011.
Published version or arXiv.
On the algebraic K-theory of the coordinate axes over the integers Joint with V. Angeltveit
Homology, Homotopy and Applications, 13(2):103-111, 2011.
Published version or arXiv.
On the algebraic K-theory of truncated polynomials in several variables
Joint with V. Angeltveit, M. Hill, and A. Lindenstrauss
Journal of K-theory, 13(1):57-81, 2014.
Published version or arXiv.
Interpreting the Bokstedt smash product as the norm
Joint with V. Angeltveit, A. Blumberg, M. Hill, and T. Lawson
Proceedings of the AMS, 144:5419-5433, 2016.
Published version or arXiv.
Computational tools for topological coHochschild homology
Joint with A.M. Bohmann, A. Hogenhaven, B. Shipley, and S. Ziegenhagen
Topology and its Applications, 235:185-213, 2018.
Published version or arXiv.
Topological cyclic homology via the norm
Joint with V. Angeltveit, A. Blumberg, M. Hill, T. Lawson, and M. Mandell
Documenta Mathematica, 23:2101-2163, 2018.
Published version or arXiv.
The Witt vectors for Green functors
Joint with A. Blumberg, M. Hill, and T. Lawson
Journal of Algebra, 537:197-244, 2019.
Published version or arXiv.
Computational tools for twisted topological Hochschild homology of equivariant spectra
Joint with K. Adamyk, K. Hess, I. Klang, and H. Kong
Topology and its Applications, 316, 2022.
Published version or arXiv.
Topological coHochschild Homology and the Homology of Free Loop Spaces
Joint with A.M. Bohmann and B. Shipley
Mathematische Zeitschrift, 301(1):411-454, 2022.
Published version or arXiv.
A shadow perspective on equivariant Hochschild homologies
Joint with K. Adamyk, K. Hess, I. Klang, and H. Kong
To appear: International Mathematics Research Notices (IMRN), 2022.
arXiv.
Real topological Hochschild homology via the norm and Real Witt vectors
Joint with G. Angelini-Knoll and M. Hill
Submitted. arXiv:2111.06970 (2021).
arXiv.