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
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
- Gregory O, Langer A. (2021) Higher Displays Arising from Filtered de Rham–Witt Complexes, Progress in Mathematics, 121-140, DOI:10.1007/978-3-030-65203-6_5.
2020
- Langer A, Gregory O. (2020) Overconvergent de Rham-Witt cohomology for semistable varieties, Muenster Journal of Mathematics 13 (2020) 541-571, volume 13, pages 541-571, DOI:10.17879/90169635144. [PDF]
2018
- Langer A. (2018) p-adic deformation of motivic Chow groups, Documenta Mathematica, volume 23, pages 1863-1894, DOI:10.25537/dm.2018v23.1863-1894. [PDF]
2015
- Langer A, Zink T. (2015) Comparison between overconvergent de Rham-Witt and crystalline cohomology for projective and smooth varieties, Mathematische Nachrichten, volume 288, no. 11-12, pages 1388-1393, DOI:10.1002/mana.201400220.
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
- Langer A, Davis C, Zink T. (2011) Overconvergent Wittvectors, Journal fuer die Reine und Angewandte Mathematik, volume published online, pages 1-34, DOI:10.1515/Crelle.2011.141.
- Langer A. (2011) On the syntomic regulator for products of elliptic curves, JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, volume 84, pages 495-513, DOI:10.1112/jlms/jdr021. [PDF]
- Davis C, Langer A, Zink T. (2011) Overconvergent de Rham-Witt cohomology, Annales Scientifiques de l'Ecole Normale Superieure, volume 44, no. 2, pages 197-262, DOI:10.24033/asens.2143.
2007
- Langer A, Zink T. (2007) De Rham-Witt cohomology and displays, Documenta Mathematica, volume 12, pages 147-191.
2005
- Langer A, Zink T. (2005) Gauss-manin connection via Witt-differentials, Nagoya Mathematical Journal, volume 179, pages 1-16, DOI:10.1017/s0027763000025587.
2004
- Langer A, Zink T. (2004) De Rham Witt cohomology for a proper and smooth morphism, Journal of the Institute of Mathematics of Jussieu, volume 3, no. 2, pages 231-314, DOI:10.1017/S1474748004000088.
- Langer A. (2004) On the Tate-conjecture for Hilbert modular surfaces in finite characteristic, Journal f?r die reine und angewandte Mathematik (Crelles Journal), volume 2004, no. 570, pages 219-228, DOI:10.1515/crll.2004.033.
