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Mathematics and Statistics

Photo of Prof Andreas Langer

Prof Andreas Langer

Professor

 A.Langer@exeter.ac.uk


Overview

Research Interests

  • Arithmetic geometry, in particular:
  • Arithmetic conjectures on algebraic cycles in connection with p-adic Hodge-theory,
  • Crystalline cohomology over a non-perfect base
  •  Integral p-adic Hodge- theory

Courses taught in Exeter in 2022-2023 Algebraic Curves,  Algebraic Number Theory

Recent publications:  A.Langer, T Zink: Grothendieck-Messing deformation theory for varieties of K3-type , Tunisian Journal of Math, Vol 1 no4, 2019, pp 455-516

A.Langer: p-adic deformation of motivic Chow groups , Documenta Math. 23 , 2018, 1863-1894

O.Gregory, A.Langer: Overconvergent de Rham-Witt cohomology for semistable varieties, Muenster Mathematical Journal, Vol 13,2. 2020, pp 541-571.

O.Gregory, A.Langer: Higher Displays arising from filtered de Rham-Witt complexes, in: Arithmetic L-functions and Differential Geometric Methods, Proceedings to "Regulators IV" , Paris 2016,Progress in Mathematics Vol 338, 2021, pp 121-140

A.Langer and T. Zink: A Comparison of logarithmic overconvergent de Rham-Witt and logarithmic crystalline cohomology for projective smooth varieties with normal crossing divisor.Padova Math.Journal 2017

A.Langer, T Zink,, Comparison between overconvergent de Rham-Witt and crystalline cohomology for projective smooth varieties, Math. Nachrichten 288, No. 11-12, (2015) 1388-1393

O.Gregory, A.Langer: Hodge-Witt decomposition of relative crystalline cohomology, Journal of the London Mathematical Society, DOI: 10.1112/jlms.12679. Volume 106, issue 4, (2022),      pp 4009-4046

O.Gregory, A.Langer: A Log-Motivic Cohomology for semistable varieties and its p-adic deformation theory, preprint 2023. arxiv.        

A.Langer:  Overconvergent prismatic cohomology, preprint 2023, arxiv.

Grants:  EPSRC Standard Grant Project No T005351/1 , Title: Integral p-adic Hodge-theory and applications to p.adic deformation theory.  1/2020-12/2022

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Publications

Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.

| 2021 | 2020 | 2018 | 2015 | 2013 | 2011 | 2007 | 2005 | 2004 |

2021

2020

2018

2015

2013

  • Langer A, Muralidharan A. (2013) An analogue of Raynaud's Theorem: Weak formal schemes and Dagger spaces, Muenster Journal of Mathematics, volume Volume 6 (2013), pages 271-294.

2011

2007

  • Langer A, Zink T. (2007) De Rham-Witt cohomology and displays, Documenta Mathematica, volume 12, pages 147-191.

2005

2004

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