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Prof. Jochen Koenigsmann

MA, Diplom, PhD, Habilitation
Status
Academic Faculty

University Lecturer at the Mathematical Institute (Logic Group) and Tutorial Fellow at LMH

Contact form
+44 1865 273568
Research groups
  • Mathematical Logic

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted publications
Defining Z in Q
Koenigsmann, J ANNALS OF MATHEMATICS volume 183 issue 1 73-93 (Jan 2016) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000367717600002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e
Undecidability in number theory
Koenigsmann, J (02 Sep 2013) http://arxiv.org/abs/1309.0441v1
On the 'Section Conjecture' in anabelian geometry
Koenigsmann, J Journal fur die reine und angewandte Mathematik (Crelles Journal) volume 2005 issue 588 221-235 (Nov 2005)
Solvable absolute Galois groups are metabelian
Koenigsmann, J Inventiones mathematicae volume 144 issue 1 1-22 (Apr 2001)
FROM P-RIGID ELEMENTS TO VALUATIONS (WITH A GALOIS-CHARACTERIZATION OF P-ADIC FIELDS)
KOENIGSMANN, J JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK volume 465 165-182 (1995) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1995RV54100007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e
Research interests

Model theory and arithmetic of fields, valuation theory, Galois theory, Hilbert's 10th problem, anabelian Geometry, number theory

Recent publications
Decidability in local and global fields
Koenigsmann, J Proceedings of the International Congress of Mathematicians 45-59 (31 May 2019)
Defining coarsenings of valuations
Jahnke, F Koenigsmann, J Proceedings of the Edinburgh Mathematical Society volume 60 issue 3 665-687 (10 Jan 2017)
DEFINABLE HENSELIAN VALUATIONS
Jahnke, F Koenigsmann, J JOURNAL OF SYMBOLIC LOGIC volume 80 issue 1 85-99 (Mar 2015) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000351311600004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e
Uniformly defining p-henselian valuations
Jahnke, F Koenigsmann, J ANNALS OF PURE AND APPLIED LOGIC volume 166 issue 7-8 741-754 (2015) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000357901400001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e
On a question of Abraham Robinson's
Koenigsmann, J (27 Sep 2013) http://arxiv.org/abs/1309.7138v2
An existential 0-definition of F_q[[t]] in F_q((t))
Anscombe, W Koenigsmann, J (28 Jun 2013) http://arxiv.org/abs/1306.6760v1
Defining $\mathbb{Z}$ in $\mathbb{Q}$
Koenigsmann, J (15 Nov 2010) http://arxiv.org/abs/1011.3424v2
Schlanke Körper (Slim fields).
Junker, M Koenigsmann, J J. Symb. Log. volume 75 481-500 (2010)
Projective extensions of fields
Koenigsmann, J Journal of the London Mathematical Society volume 73 issue 3 639-656 (Jun 2006)
Products of absolute galois groups
Koenigsmann, J International Mathematics Research Notices issue 24 1465-1486 (18 May 2005)
Prizes, awards, and scholarships

Studienstiftung des deutschen Volkes, Dornier-Forschungspreis, Heisenberg-Fellow (DFG), Invited Speaker at ICM Rio 2018

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