Prof. Dr. Moritz Kerz
Fakultät für Mathematik
Universität Regensburg
93040 Regensburg
Zimmer: M 220
Telefon: (0941) 943 2781
Telefax: (0941) 943 2576
Email: moritz.kerz }at{ mathematik.uni-regensburg.de
PGP
Sprechstunde: Nach Vereinbarung.
Sekretariat:
Andrea Kotzulla
Zimmer: M 218
Telefon: (0941) 943 2598
Email: andrea.kotzulla }at{ mathematik.uni-regensburg.de
Mitglieder der Arbeitsgruppe:
Prof. Dr. Moritz Kerz, M 220, Tel: (0941) 943 2781
Lukas Krinner, M 230, Tel: (0941) 943 2779
Yassin Mousa, M 230, Tel: (0941) 943 2779
Andrea Panontin, M 310, Tel: (0941) 943 3142,
Dr. Yanshuai Qin, M 305, Tel: (0941) 943 3127,
Yuenian Zhou, M 005, Tel: (0941) 943 4907
Dr. Paul Ziegler, M 005, Tel: (0941) 943 4907
Lehre Wintersemester 24/25
Lehre Sommersemester 24
Lehre Sommersemester 23
Lehre Wintersemester 22/23
Lehre Sommersemester 22
Lehre Sommersemester 21
Lehre Wintersemester 20/21
Lehre Sommersemester 20
Lehre Wintersemester 19/20
- Vorlesung:
Lineare Algebra I , Mo und Do 10–12 im H 32; Zentralübung Mo
14–16 im H 32.
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Seminar: Darstellungstheorie endlicher Gruppen, Do 10–12 im M 009 (Johann Haas,
Yassin Mousa).
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AG-Seminar , Mo 16–18 im M 102.
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Oberseminar:
Prismatische Kohomologie, Di 14–16 im M 331.
Lehre Wintersemester 18/19
Research interests:
Arithmetic Geometry, Algebraic K-Theory
Mathematical Publications:
- The complex of words and Nakaoka stability Homology, Homotopy and Applications 7(1) (2005), p. 77–85
- Der Gerstenkomplex der Milnor K-Theorie Diploma thesis, Mainz (2005), 61 pages
- The Milnor-Chow homomorphism revisited K-Theory, Volume 38, Number 1 (2007), p. 49–58 (with Stefan Müller-Stach)
- Milnor K-theory of local rings Ph.D. thesis, Regensburg (2008), 59 pages
- The Gersten conjecture for Milnor K-theory Inventiones mathematicae, Volume 175, Number 1 (2009), p. 1–33
- Covering data and higher dimensional global class field theory J. of Number Theory 129 (2009), p. 2569–2599 (with Alexander Schmidt), Errata: pdf
- Milnor K-theory of local rings with finite residue fields J. Algebraic Geom. 19 (2010), p. 173–191.
- On different notions of tameness in arithmetic geometry Math. Annalen 346, Issue 3 (2010), p. 641–668 (with Alexander Schmidt)
- Higher class field theory and the connected component Manuscripta Math. 135 (2011), p. 63–89
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Ideles in higher
dimension Math. Res. Letters 18, Number 4 (2011), p. 699–713
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Cohomological
Hasse principle and motivic cohomology for
arithmetic schemes Publications Mathématiques de l'IHES, Volume
115, Number 1 (2012), p. 123–183 (with Shuji Saito)
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A finiteness theorem for Galois representations
of function fields over finite fields (after Deligne) Acta Mathematica Vietnamica
37, Number 4 (2012), p. 531–562 (with Hélène Esnault), Errata: pdf
- p-adic deformation of algebraic cycle
classes Inventiones math. 195 (2014), 673–722 (with Spencer
Bloch and Hélène Esnault)
- Cohomological Hasse principle and resolution
of quotient singularities
New York Journal
of Mathematics (2013), 597–645 (with Shuji Saito)
- Lefschetz theorem for abelian fundamental
group with modulus
Algebra and Number Theory 8(3) (2014), 689–701 (with Shuji Saito), Erratum
- Deformation of algebraic cycle classes in
characteristic zero
Algebraic
Geometry 1(3) (2014), 290–310 (with Spencer Bloch and Hélène Esnault)
- Chow group of 0-cycles with modulus and
higher dimensional class field theory Duke Math. J. 165(15) (2016), 2811–2897 (with Shuji Saito).
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Transfinite limits in topos theory
Theory and Applications of Categories 31(7) (2016),
175–200, Errata
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A restriction isomorphism for cycles of
relative dimension zero Cambridge Journal of Mathematics 4(2) (2016), 163–196 (with Hélène Esnault and Olivier Wittenberg)
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On the vanishing of negative homotopy
K-theory Journal of Pure and Applied Algebra 221 (2017), 1641–1644 (with Florian Strunk)
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Algebraic K-theory and descent for
blow-ups Inventiones math. 211 (2018), 523–577
(with Florian Strunk and Georg Tamme)
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On negative algebraic K-groups ICM Proceedings, p. 181 (2018)
, 12 p.
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Higher ideles and class field theory
Nagoya Mathematical Journal 219 (2019), 214–250 (with Yigeng Zhao)
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Towards a non-archimedean analytic analog of the Bass-Quillen conjecture
J. Inst. Math. Jussieu 19 (2020), no. 6, 1931–1946 (with Shuji Saito and Georg Tamme)
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K-theory of non-archimedean rings I
Doc. Math. 24 (2019), 1365–1411 (with Shuji Saito and Georg Tamme)
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Arithmetic subspaces of moduli spaces of rank
one local systems Camb. J. Math. 8 (2020), no. 3, 453–478 (with Hélène Esnault)
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Towards Vorst's conjecture in positive
characteristic Compos. Math. 157 (2021), no. 6, 1143–1171 (with Florian Strunk and Georg Tamme)
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Etale cohomology of rank one l-adic local
systems in positive characteristic Selecta Math. 27 (2021), no. 4, Paper No. 58, 25 pp. (with Hélène Esnault)
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Local systems with quasi-unipotent monodromy
at infinity are dense to appear in Israel Journal of Mathematics (2021) (with Hélène Esnault)
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K-theory of non-archimedean rings II Nagoya Math. Journal 251 (2023), 669–685 (with Shuji Saito
and Georg Tamme)
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Density of Arithmetic Representations of
Function Fields Épijournal Géom. Algébrique 6 (2022), 18 pages (with Hélène Esnault)
Preprints:
Other Notes:
Curriculum Vitae
Fakultät für
Mathematik
SFB
Higher Invariants
Datenschutzerklärung
Impressum