Lars Hesselholt

Lars Hesselholt

Professor

ORCID: 0000-0002-3324-2407

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  1. 2023
  2. Published

    Topological cyclic homology and the Fargues–Fontaine curve

    Hesselholt, Lars, 2023, Cyclic Cohomology at 40: Achievements and Future Prospects. American Mathematical Society, p. 197-210 14 p. (Proceedings of Symposia in Pure Mathematics, Vol. 105).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  3. 2020
  4. Published

    Algebraic K-theory of planar cuspidal curves

    Hesselholt, Lars & Nikolaus, T., 2020, K-theory in Algebra, Analysis and Topology -: ICM 2018 Satellite School and Workshop K-theory Conference, Argentina, 2018 July 16–20 and July 23–27, 2018 La Plata and Buenos Aires, Argentina. American Mathematical Society, p. 139-148 (Contemporary Mathematics, Vol. 749).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  5. Published

    On the K-theory of division algebras over local fields

    Hesselholt, Lars, Larsen, M. & Lindenstrauss, A., 2020, In: Inventiones Mathematicae. 219, 1, p. 281–329

    Research output: Contribution to journal › Journal article › Research › peer-review

  6. 2019
  7. Published

    Topological cyclic homology

    Hesselholt, Lars & Nikolaus, T., 2019, Handbook of Homotopy Theory. Miller, H. (ed.). 1 ed. CRC Press, (CRC Press/Chapman and Hall Handbooks in Mathematics Series).

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  8. 2018
  9. Published

    Topological Hochschild homology and the Hasse-Weil zeta function

    Hesselholt, Lars, 2018, An Alpine Bouquet of Algebraic Topology: Alpine Algebraic and Applied Topology Conference August 15–21, 2016 Saas-Almagell, Switzerland. American Mathematical Society, Vol. 708. p. 157-180 24 p. (Contemporary Mathematics, Vol. 708).

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

  10. 2015
  11. Published

    The big de Rham–Witt complex

    Hesselholt, Lars, 2015, In: Acta Mathematica. 214, 1, p. 135-207

    Research output: Contribution to journal › Journal article › Research › peer-review

  12. Published

    Topological Hochschild homology and the Bass trace conjecture

    Berrick, A. J. & Hesselholt, Lars, 2015, In: Journal für die reine und angewandte Mathematik. 704, p. 169–185

    Research output: Contribution to journal › Journal article › Research › peer-review

  13. 2014
  14. Published

    On the K-theory of planar cuspical curves and a new family of polytopes

    Hesselholt, Lars, 2014, Algebraic Topology: Applications and New Directions. Tillmann, U., Galatius, S. & Sinha, D. (eds.). American Mathematical Society, p. 145-182 (Contemporary Mathematics, Vol. 620).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  15. 2012

  16. On a conjecture of Vorst

    Geisser, T. & Hesselholt, Lars, 2012, In: Mathematische Zeitschrift. p. 445-452

    Research output: Contribution to journal › Journal article › Research › peer-review

  17. 2011

  18. On relative and bi-relative algebraic K-theory of rings of finite characteristic

    Geisser, T. & Hesselholt, Lars, 2011, In: Journal of the American Mathematical Society. 24, 1, p. 29–49

    Research output: Contribution to journal › Journal article › Research › peer-review

  19. 2010

  20. On the vanishing of negative K-groups

    Geisser, T. & Hesselholt, Lars, 2010, In: Mathematische Annalen. 348, 3, p. 707-736

    Research output: Contribution to journal › Journal article › Research › peer-review

  21. 2009

  22. On the K-theory of truncated polynomial algebras over the integers

    Angeltveit, V., Gerhardt, T. & Hesselholt, Lars, 2009, In: Journal of Topology. 2, 2, p. 277-294

    Research output: Contribution to journal › Journal article › Research › peer-review

  23. On the Whitehead spectrum of the crcle

    Hesselholt, Lars, 2009, Algebraic Topology: The Abel Symposium 2007. Baas, N., Friedlander, E. M., Jahren, B. & Østvær, P. A. (eds.). Springer, p. 131-184 (Abel Symposia, Vol. 4).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  24. 2008

  25. The tower of K-theory of truncated polynomial algebras

    Hesselholt, Lars, 2008, In: Journal of Topology. 1, 1, p. 87-114

    Research output: Contribution to journal › Journal article › Research › peer-review

  26. 2007

  27. On the K-theory of the coordinate axes in the plane

    Hesselholt, Lars, 2007, In: Nagoya Mathematical Journal. 185, p. 93-109

    Research output: Contribution to journal › Journal article › Research › peer-review

  28. 2006

  29. Bi-relative algebraic K-theory and topological cyclic homology

    Geisser, T. & Hesselholt, Lars, 2006, In: Inventiones Mathematicae. 166, 2, p. 359-395

    Research output: Contribution to journal › Journal article › Research › peer-review

  30. On the K-theory and topological cyclic homology of smooth schemes over a discrete valuation ring

    Geisser, T. & Hesselholt, Lars, 2006, In: Transactions of the American Mathematical Society. 358, p. 131-145

    Research output: Contribution to journal › Journal article › Research › peer-review

  31. On the K-theory of complete regular local Fp-algebras

    Geisser, T. & Hesselholt, Lars, 2006, In: Topology. 45, 3, p. 475–493

    Research output: Contribution to journal › Journal article › Research › peer-review

  32. On the topological cyclic homology of the algebraic closure of a local field

    Hesselholt, Lars, 2006, An Alpine Anthology of Homotopy Theory: Proceedings of the Second Arolla Conference on Algebraic Topology, August 24-29, 2004, Arolla, Switzerland. Arlettaz, D. & Hess, K. (eds.). American Mathematical Society, p. 133-162 (Contemporary Mathematics, Vol. 399).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  33. The de Rham-Witt complex and p-adic vanishing cycles

    Geisser, T. & Hesselholt, Lars, 2006, In: Journal of the American Mathematical Society. 19, p. 1-36

    Research output: Contribution to journal › Journal article › Research › peer-review

  34. 2005

  35. K-theory of truncated polynomial algebras

    Hesselholt, Lars, 2005, Handbook of K-Theory. Friedlander, E. M. & Grayson, D. R. (eds.). Berlin: Springer, Vol. Part I. p. 71-110

    Research output: Chapter in Book/Report/Conference proceeding › Encyclopedia chapter › Research › peer-review

  36. Erratum to: Witt vectors of non-commutative rings and topological cyclic homology

    Hesselholt, Lars, 2005, In: Acta Mathematica. 195, 1, p. 55-60

    Research output: Contribution to journal › Journal article › Research › peer-review

  37. The absolute and relative de Rham–Witt complexes

    Hesselholt, Lars, 2005, In: Compositio Mathematica. 141, 5, p. 1109- 1127

    Research output: Contribution to journal › Journal article › Research › peer-review

  38. 2004

  39. Galois cohomology of Witt vectors of algebraic integers

    Hesselholt, Lars, 2004, In: Mathematical Proceedings of the Cambridge Philosophical Society. 137, 3, p. 551-557

    Research output: Contribution to journal › Journal article › Research › peer-review

  40. On the de Rham–Witt complex in mixed characteristic

    Hesselholt, Lars & Madsen, Ib Henning, 2004, In: Annales Scientifiques de l'Ecole Normale Superieure. 37, 1, p. 1-43

    Research output: Contribution to journal › Journal article › Research › peer-review

  41. Topological Hochschild homology and the de Rham-Witt complex for Z(p) -algebras

    Hesselholt, Lars, 2004, Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic K-Theory : An International Conference on Algebraic Topology, March 24-28, 2002, Northwestern University. Goerss, P. & Priddy, S. (eds.). American Mathematical Society, p. 253-260 (Contemporary Mathematics, Vol. 346).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  42. 2003

  43. On the K-theory of local fields

    Hesselholt, Lars & Madsen, Ib Henning, 2003, In: Annals of Mathematics. 158, 1, p. 1-113

    Research output: Contribution to journal › Journal article › Research › peer-review

  44. 2002

  45. Algebraic K-theory and Trace Invariants

    Hesselholt, Lars, 2002, Proceedings of the International Congress of Mathematicians : Beijing 2002, August 20-28. Tatsien, L. I. (ed.). Beijing: World Scientific, Vol. 2. p. 415-415

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  46. 2001

  47. On the K-theory of nilpotent endomorphisms

    Hesselholt, Lars & Madsen, Ib Henning, 2001, Homotopy Methods in Algebraic Topology: Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 . Greenlees, J. P. C., Bruner, R. R. & Kuhn, N. (eds.). American Mathematical Society, p. 127-140 (Contemporary Mathematics, Vol. 271).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  48. 1999

  49. Topological cyclic homology of schemes

    Geisser, T. & Hesselholt, Lars, 1999, Algebraic K-Theory : AMS-IMS-SIAM Joint Summer Research Conference on Algebraic K-Theory, July 13-24, 1997, University of Washington, Seattle . Raskind, W. & Weibel, C. (eds.). American Mathematical Society, p. 25-40 (American Mathematical Society. Proceedings of Symposia in Pure Mathematics). (Proceedings of symposia in pure mathematics, Vol. 67).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research

  50. 1997

  51. Cyclic polytopes and the K-theory of truncated polynomial algebras

    Hesselholt, Lars & Madsen, Ib Henning, 1997, In: Inventiones Mathematicae. 130, 1, p. 73-97

    Research output: Contribution to journal › Journal article › Research › peer-review

  52. On the K-theory of finite algebras over Witt vectors of perfect fields

    Hesselholt, Lars & Madsen, Ib Henning, 1997, In: Topology. 36, 1, p. 29–101

    Research output: Contribution to journal › Journal article › Research › peer-review

  53. Witt vectors of non-commutative rings and topological cyclic homology

    Hesselholt, Lars, 1997, In: Acta Mathematica. 178, 1, p. 09-141

    Research output: Contribution to journal › Journal article › Research › peer-review

  54. 1996

  55. On the p-typical curves in Quillen's K-theory

    Hesselholt, Lars, 1996, In: Acta Mathematica. 177, 1, p. 1-53

    Research output: Contribution to journal › Journal article › Research › peer-review

  56. 1992

  57. A homotopy theoretical derivation of QMap(K,-)+

    Hesselholt, Lars, 1992, In: Mathematica Scandinavica. 70, 2, p. 193-203

    Research output: Contribution to journal › Journal article › Research › peer-review

ID: 44787774