Lars Hesselholt

Lars Hesselholt (born September 25, 1966 in Vejrumbro , Denmark ) is a Danish mathematician who deals with algebraic topology , algebraic K-theory and p-adic arithmetic geometry.

Hesselholt studied mathematics at Aarhus University with a degree in 1992 and a doctorate in 1994 with Ib Madsen (Topological cyclic homology). As a post-doctoral student he was at the Mittag-Leffler Institute and from 1994 to 1997 Moore Instructor at the Massachusetts Institute of Technology , where he became Assistant Professor in 1997 and Associate Professor in 2001. He has been a professor at Nagoya University since 2008 (making him the first western mathematician to hold a chair in Japan).

He is also Niels Bohr visiting professor at the University of Copenhagen from 2013 to 2018. He was visiting professor at Princeton University (1997/98), in Rennes, at the Institut Henri Poincaré . In 1998 he was a Sloan Research Fellow and from 2011 to 2016 of the Japan Society for the Promotion of Science. In 2014 he is Clay Senior Scholar.

Hesselholt used the trace methods introduced by Madsen, M. Bökstedt, WC Hsiang (1993) and TG Goodwillie (1986) in the algebraic K-theory (topological analogues of Hochschild and cyclic homology) for calculations in the K-theory and verified some special cases of the Quillen-Lichtenbaum conjecture with Madsen, among others.

In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing (Algebraic K-theory and trace invariants). In 2012 he became a member of the Royal Danish Academy of Sciences . He is a fellow of the American Mathematical Society .

He is editor of the Nagoya Mathematical Journal.

Hesselholt is married to a Japanese woman.

Fonts

On the typical curves in Quillen's theory . ${\ displaystyle p}$ ${\ displaystyle K}$ In: Acta Mathematica . Volume 177, No. 1, 1996, pp. 1-53, doi : 10.1007 / BF02392597 .
with Ib Madsen : On the -theory of finite algebras over Witt vectors of perfect fields. ${\ displaystyle K}$ In: Topology. Volume 36, No. 1, 1997, pp. 29-101, doi : 10.1016 / 0040-9383 (96) 00003-1 .
with Ib Madsen: Cyclic polytopes and the -theory of truncated polynomial algebras. ${\ displaystyle K}$ In: Inventiones Mathematicae . Volume 130, No. 1, 1997, pp. 73-97, doi : 10.1007 / s002220050178 .
with Ib Madsen: On the -theory of local fields. ${\ displaystyle K}$ In: Annals of Mathematics . Series 2, Vol. 158, No. 1, 2003, pp. 1-113, JSTOR 3597154 .
with Thomas Geisser: Bi-relative algebraic-theory and topological cyclic homology. ${\ displaystyle K}$ In: Inventiones Mathematicae. Volume 166, No. 2, 2006, pp. 359-395, doi : 10.1007 / s00222-006-0515-y .
with Thomas Geisser: The de Rham-Witt complex and -adic vanishing cycles. ${\ displaystyle p}$ In: Journal of the American Mathematical Society . Volume 19, No. 1, 2006, pp. 1-36, JSTOR 20161268 .

Web links

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Individual evidence

personal data
SURNAME	Hesselholt, Lars
BRIEF DESCRIPTION	Danish mathematician
DATE OF BIRTH	September 25, 1966
PLACE OF BIRTH	Vejrumbro

[1] Lars Hesselholt in the Mathematics Genealogy Project (English)

[2] Receipt of the Niels Bohr lectureship .