Organization
Graduate School of Mathematics Division of Mathematics Advanced Topology Professor
Graduate School
Graduate School of Mathematics
Undergraduate School
School of Science
Title
Professor
HESSEILHOLT, Lars
Degree 1
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Ph.D. （ 1994.4 Aarhus University ）
Professional Memberships 4
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Danish Mathematical Society
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European Mathematical Society
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American Mathematical Society
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Royal Danish Academy of Sciences and Letters Foreign Member
Committee Memberships 1
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International Mathematical Union Core Member, Algebra Panel, ICM 2014
Awards 5
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Simons Visiting Professorship
2019
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Rothschild Distinguished Visiting Fellowship
2018
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Clay Senior Scholar
2014 Clay Mathematics Institute
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Niels Bohr Professorship
2013 Danish National Research Foundation
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Fellow of the American Mathematical Society
2012 American Mathematical Society
Papers 31
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On the K-theory of division algebras over local fields Reviewed International coauthorship
Lars Hesselholt, Michael Larsen, and Ayelet Lindenstrauss
Invent. Math. Vol. 219 2020
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Algebraic K-theory of planar cuspidal curves Invited Reviewed International coauthorship
Lars Hesselholt and Thomas Nikolaus
Comtemp. Math. Vol. 749 2020
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On the K-theory of planar cuspical curves and a new family of polytopes Invited Reviewed
L. Hesselholt
Contemp. Math. Vol. 620 page： 145-182 2014
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On a conjecture of Vorst Reviewed
T. Geisser, L. Hesselholt
Math. Z. Vol. 270 page： 445-452 2012
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On the relative and bi-relative K-theory of rings of finite characteristic Reviewed
T. Geisser, L. Hesselholt
J. Amer. Math. Soc. Vol. 24 page： 29-49 2011
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On the vanishing of negative K-groups Reviewed
T. Geisser, L. Hesselholt
Math. Ann. Vol. 348 page： 707-736 2010
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On the Whitehead spectrum of the circle Invited Reviewed
L. Hesselholt
Abel Symposia Vol. 4 page： 131-184 2009
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On the K-theory of truncated polynomial algebras over the integers Reviewed
V. Angeltveit, T. Gerhardt, L. Hesselholt
J. Topol. Vol. 2 page： 277-294 2009
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The tower of K-theory of truncated polynomial algebras Invited Reviewed
L. Hesselholt
J. Topol. Vol. 1 page： 87-114 2008
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On the K-theory of the coordinate axes in the plane Reviewed
L. Hesselholt
Nagoya Math. J. Vol. 185 page： 93-109 2007
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The de Rham-Witt complex and p-adic vanishing cycles Reviewed
T. Geisser, L. Hesselholt
J. Amer. Math. Soc. Vol. 19 page： 1-36 2006
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On the topological cyclic homology of the algebraic closure of a local field Invited Reviewed
L. Hesselholt
Contemp. Math. Vol. 399 page： 133-162 2006
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On the K-theory of complete regular local Fp-algebras Reviewed
T. Geisser, L. Hesselholt
Topology Vol. 45 page： 475-493 2006
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On the K-theory and topological cyclic homology of smooth schemes over a discrete valuation ring Reviewed
T. Geisser, L. Hesselholt
Trans. Amer. Math. Soc. Vol. 358 page： 131-145 2006
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Bi-relative algebraic K-theory and topological cyclic homology Reviewed
T. Geisser, L. Hesselholt
Invent. Math. Vol. 166 page： 359-395 2006
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The absolute and relative de Rham-Witt complexes Reviewed
L. Hesselholt
Compositio Math. Vol. 141 page： 1109-1127 2005
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Correction to "Witt vectors of non-commutative rings and topological cyclic homlogy" Reviewed
L. Hesselholt
Acta Math. Vol. 195 page： 55-60 2005
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Galois cohomology of Witt vectors of algebraic integers Reviewed
L. Hesselholt
Math. Proc. Cambridge Philos. Soc. Vol. 137 page： 551-557 2004
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On the de Rham-Witt complex in mixed characteristic Reviewed
L. Hesselholt, I. Madsen
Ann. Sci. Ec. Norm. Sup. Vol. 37 page： 1-43 2004
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Topological Hochschild homology and the de Rham-Witt complex for Z(p)-algebras Invited Reviewed
L. Hesselholt
Contemp. Math. Vol. 346 page： 253-259 2004
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On the K-theory of local fields Reviewed
L. Hesselholt, I. Madsen
Ann. of Math Vol. 158 page： 1-113 2003
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Algebraic K-theory and trace invariants Invited
L. Hesselholt
Proceedings of the International Congress of Mathematicians (Beijing 2002) Vol. 2 page： 415-425 2002
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On the K-theory of nilpotent endomorphisms Invited Reviewed
L. Hesselholt, I. Madsen
Contemp. Math. Vol. 271 page： 127-140 2001
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Topological cyclic homology of schemes Invited Reviewed
T. Geisser, L. Hesselholt
Proc. Sympos. Pure Math. Vol. 67 page： 41-87 1999
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Witt vectors of non-commutative rings and topological cyclic homology Reviewed
L. Hesselholt
Acta Math. Vol. 178 page： 109-141 1997
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Cyclic polytopes and the K-theory of truncated polynomial algebras Reviewed
L. Hesselholt, I. Madsen
Invent. Math. Vol. 130 page： 73-97 1997
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On the K-theory of finite algebras over Witt vectors of perfect fields Reviewed
L. Hesselholt, I. Madsen
Topology Vol. 36 page： 29-101 1997
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On the p-typical curves in Quillen's K-theory Reviewed
L. Hesselholt
Acta Math. Vol. 177 page： 1-53 1996
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Stable topological cyclic homology is topological Hochschild homology Invited Reviewed
L. Hesselholt
Asterisque Vol. 226 page： 175-192 1994
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The S1-Tate spectrum for J Invited Reviewed
L. Hesselholt, I. Madsen
Bol. Soc. Mat. Mexicana Vol. 37 page： 215-240 1992
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A homotopy theoretical derivation of QMap(K,-)+ Reviewed
L. Hesselholt
Math. Scand. Vol. 70 page： 193-203 1992
Presentations 5
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Topological Hochschild homology and periodicity International conference
L. Hesselholt
Workshop on Motives
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The big de Rham-Witt complex International conference
L. Hesselholt
Number Theory and Non-Commutative Geometry
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Topological cyclic homology and the p-adic L-function International conference
L. Hesselholt
Opening Conference Higher Invariants
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Topological Hochschild homology International conference
L. Hesselholt
Young Topologists' Meeting
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Real algebraic K-theory International conference
L. Hesselholt
Midwest Topology Seminar
KAKENHI (Grants-in-Aid for Scientific Research) 1
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Foundations of rigid geometry from birational viewpoint
Grant number：15H03607 2015.4 - 2019.3
FUJIWARA KAZUHIRO
Authorship：Coinvestigator(s)
Aimed for establishing foundational aspects of rigid geometry, "Foundations of rigid geometry I" (joint with F. Kato at titech) was published from EMS (2018). A new aspect, i.e., spectral theory of filtered rings, is added during the project. Also, perfectoid spaces, which have close connection to rigid geometry, are put into our plan. After P. Scholze's introduction, many applications of perfectoid spaces are known up to now. The principal investigator has tried to understand phenomena behind cohomological purity conjectures from perfectoid viewpoint, and has given a new proof of the absolute purity conjecture.
Teaching Experience (On-campus) 2
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Linear Algebra II
2011
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Linear Algebra I
2011