Prof. Jochen Koenigsmann
MA, Diplom, PhD, Habilitation
Status
Academic Faculty
University Lecturer at the Mathematical Institute (Logic Group) and Tutorial Fellow at LMH
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
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 (2016) https://www.webofscience.com/api/gateway?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) https://www.webofscience.com/api/gateway?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) Uniformly defining p-henselian valuations
Jahnke, F Koenigsmann, J ANNALS OF PURE AND APPLIED LOGIC volume 166 issue 7-8 741-754 (2015) https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000357901400001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e DEFINABLE HENSELIAN VALUATIONS
Jahnke, F Koenigsmann, J JOURNAL OF SYMBOLIC LOGIC volume 80 issue 1 85-99 (2015) https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000351311600004&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