Papers and Preprints


31: L. Hesselholt, Topological Hochschild homology and the Hasse-Weil zeta function, Alpine Algebraic and Applied Topology (Saas Almagell, Switzerland, 2016), Contemp. Math., Amer. Math. Soc., Providence, RI (to appear).
30: L. Hesselholt, On the K-theory of planar cuspical curves and a new family of polytopes, Algebraic Topology: Applications and New Directions (Stanford, CA, July 23-27, 2012), pp. 145-182, Contemp. Math. 620, Amer. Math. Soc., Providence, RI, 2014.
29: A. J. Berrick, L. Hesselholt, Topological Hochschild homology and the Bass trace conjecture, J. reine angew. Math. 704 (2015), 169-185.
28: L. Hesselholt, The big de Rham-Witt complex, Acta Math. 214 (2015), 135-207.
27: T. Geisser, L. Hesselholt, On a conjecture of Vorst, Math. Z. 270 (2012), 445-452.
26: T. Geisser, L. Hesselholt, On the vanishing of negative K-groups, Math. Ann. 348 (2010), 707-736.
25: T. Geisser, L. Hesselholt, On the relative and bi-relative K-theory of rings of finite characteristic, J. Amer. Math. Soc. 24 (2011), 29-49.
24: V. Angeltveit, T. Gerhardt, L. Hesselholt, On the K-theory of truncated polynomial algebras over the integers, J. Topol. 2 (2009), 277-294.
23: L. Hesselholt, On the Whitehead spectrum of the circle, Algebraic Topology. The Abel Symposium 2007. Proceedings of the Fourth Abel Symposium, Oslo, Norway, August 5-10, 2007, pp. 131-184, Abel Symposia 4, Springer-Verlag, Berlin, 2009.
22: L. Hesselholt, The tower of K-theory of truncated polynomial algebras, J. Topol. 1 (2008), 87-114.
21: L. Hesselholt, On the K-theory of the coordinate axes in the plane, Nagoya Math. J. 185 (2007), 93-109.
20: L. Hesselholt, On the topological cyclic homology of the algebraic closure of a local field, An Alpine Anthology of Homotopy Theory: Proceedings of the Second Arolla Conference on Algebraic Topology (Arolla, Switzerland, 2004), pp. 133-162, Contemp. Math. 399, Amer. Math. Soc., Providence, RI, 2006.
19: T. Geisser, L. Hesselholt, Bi-relative algebraic K-theory and topological cyclic homology, Invent. Math. 166 (2006), 359-395.
18: L. Hesselholt, The absolute and relative de Rham-Witt complexes, Compositio Math. 141 (2005), 1109-1127.
17: T. Geisser, L. Hesselholt, The de Rham-Witt complex and p-adic vanishing cycles, J. Amer. Math. Soc. 19 (2006), 1-36.
16: L. Hesselholt, Galois cohomology of Witt vectors of algebraic integers, Math. Proc. Cambridge Philos. Soc. 137 (2004), 551-557.
15: L. Hesselholt, Algebraic K-theory and trace invariants, Proceedings of the International Congress of Mathematicians (Beijing 2002), pp. 415-425, World Scientific, Beijing, China, 2002.
14: L. Hesselholt, Topological Hochschild homology and the de Rham-Witt complex for Z(p)-algebras, Homotopy theory: Relations with algebraic geometry, group cohomology, and algebraic K-theory (Evanston, IL, 2002), pp. 253-259, Contemp. Math. 346, Amer. Math. Soc., Providence, RI, 2004.
13: L. Hesselholt, I. Madsen, On the de Rham-Witt complex in mixed characteristic, Ann. Sci. Ec. Norm. Sup. 37 (4) (2004), 1-43.
12: T. Geisser, L. Hesselholt, On the K-theory and topological cyclic homology of smooth schemes over a discrete valuation ring, Trans. Amer. Math. Soc. 358 (2006), 131-145.
11: T. Geisser, L. Hesselholt, On the K-theory of complete regular local Fp-algebras, Topology 45 (2006), 475-493.
10: L. Hesselholt, I. Madsen, On the K-theory of local fields, Ann. of Math. 158 (2003), 1-113.
9: L. Hesselholt, I. Madsen, On the K-theory of nilpotent endomorphisms, Homotopy methods in algebraic topology (Boulder, CO, 1999), pp. 127-140, Contemp. Math., 271, Amer. Math. Soc., Providence, RI, 2001.
8: T. Geisser, L. Hesselholt, Topological cyclic homology of schemes, Algebraic K-theory (Seattle, WA, 1997), pp. 41-87, Proc. Sympos. Pure Math., 67, Amer. Math. Soc., Providence, RI, 1999.
7: L. Hesselholt, I. Madsen, Cyclic polytopes and the K-theory of truncated polynomial algebras, Invent. Math. 130 (1997), 73-97.
6: L. Hesselholt, Witt vectors of non-commutative rings and topological cyclic homology, Acta Math. 178 (1997), 109-141; Correction to "Witt vectors of non-commutative rings and topological cyclic homlogy," Acta Math. 195 (2005), 55-60.
5: L. Hesselholt, On the p-typical curves in Quillen's K-theory, Acta Math. 177 (1996), 1-53.
4: L. Hesselholt, I. Madsen, On the K-theory of finite algebras over Witt vectors of perfect fields, Topology 36 (1997), 29-101.
3: L. Hesselholt, I. Madsen, The S1-Tate spectrum for J, Papers in honor of Jose Adem (Spanish). Bol. Soc. Mat. Mexicana 37 (1992), 215-240.
2: L. Hesselholt, Stable topological cyclic homology is topological Hochschild homology, K-theory (Strasbourg, 1992), pp. 175-192, Asterisque 226 (1994).
1: L. Hesselholt, A homotopy theoretical derivation of QMap(K,-)+, Math. Scand. 70 (1992), 193-203.


Books and Surveys


5: L. Hesselholt, I. Madsen Real algebraic K-theory, preliminary version.
4: L. Hesselholt, Lecture notes on the big de Rham-Witt complex, Lectures notes 2009.
3: L. Hesselholt, Lecture notes on Witt vectors, Lectures notes 2005.
2: L. Hesselholt, The absolute de Rham-Witt complex, Preprint 2005.
1: L. Hesselholt, K-theory of truncated polynomial algebras, Handbook of K-theory, vol. 1, pp. 71-110, Springer-Verlag, Berlin, 2005.