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

Elementargeometrie (LR), Di 8–10 M 101, Do 12–14 M 101.
Seminar on Class Field Theory Mi 10–12 M 101.
AG-Seminar Mi 16–18 M 103.

Lehre Sommersemester 24

Geometrie für Lehramt, Di 8–10, Fr 8–10.
Seminar Darstellungstheorie endlicher Gruppen Fr 10–12.
AG-Seminar Mi 16–18.

Lehre Sommersemester 23

Analysis II für Physiker, Di 8–10, Mi 8–10.
AG-Seminar Mi 16–18.

Lehre Wintersemester 22/23

Lehre Sommersemester 22

Vorlesung Algebraische Geometrie II, Di 12–14, Do 12–14.
Elliptic curves and the Weil conjectures Mo 10–12.

Lehre Sommersemester 21

Kommutative Algebra, Di 10–12, Do 10–12, Zentralübung Mo 16-18, online.

Lehre Wintersemester 20/21

Algebra, Di 10–12 und Mi 8–10 Zentralübung Fr 10–12, online.
Seminar Arithmetik quadratischer Formen , Di 14–16, online (mit Yassin Mousa).

Lehre Sommersemester 20

Lineare Algebra II, Mo und Do 10–12 im H 32; Zentralübung Mo 14–16 im H 32.
Proseminar Zahlentheorie , Do 14–16 im M 102, Literatur
Seminar Quadratische Formen Do 16–18, M 102 (Yassin Mousa).
AG-Seminar Mo 16 (s.t.)–18 im M 101.

Lehre Wintersemester 19/20

Vorlesung: Lineare Algebra I , Mo und Do 10–12 im H 32; Zentralübung Mo 14–16 im H 32.
Seminar: Darstellungstheorie endlicher Gruppen, Do 10–12 im M 009 (Johann Haas, Yassin Mousa).
AG-Seminar , Mo 16–18 im M 102.
Oberseminar: Prismatische Kohomologie, Di 14–16 im M 331.

Lehre Wintersemester 18/19

Vorlesung: Analysis III für Physiker, Mo und Do 8–10 im H 31; Zentralübung Mo 14–16 im H 34.
AG-Seminar: K-Theory of adic rings Di 14–16.
Seminar: Darstellungstheorie endlicher Gruppen (Morten Lüders, Yigeng Zhao)

Archiv Lehre

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
Ideles in higher dimension Math. Res. Letters 18, Number 4 (2011), p. 699–713
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)
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).
Transfinite limits in topos theory Theory and Applications of Categories 31(7) (2016), 175–200, Errata
A restriction isomorphism for cycles of relative dimension zero Cambridge Journal of Mathematics 4(2) (2016), 163–196 (with Hélène Esnault and Olivier Wittenberg)
On the vanishing of negative homotopy K-theory Journal of Pure and Applied Algebra 221 (2017), 1641–1644 (with Florian Strunk)
Algebraic K-theory and descent for blow-ups Inventiones math. 211 (2018), 523–577 (with Florian Strunk and Georg Tamme)
On negative algebraic K-groups ICM Proceedings, p. 181 (2018) , 12 p.
Higher ideles and class field theory Nagoya Mathematical Journal 219 (2019), 214–250 (with Yigeng Zhao)
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)
K-theory of non-archimedean rings I Doc. Math. 24 (2019), 1365–1411 (with Shuji Saito and Georg Tamme)
Arithmetic subspaces of moduli spaces of rank one local systems Camb. J. Math. 8 (2020), no. 3, 453–478 (with Hélène Esnault)
Towards Vorst's conjecture in positive characteristic Compos. Math. 157 (2021), no. 6, 1143–1171 (with Florian Strunk and Georg Tamme)
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)
Local systems with quasi-unipotent monodromy at infinity are dense to appear in Israel Journal of Mathematics (2021) (with Hélène Esnault)
K-theory of non-archimedean rings II Nagoya Math. Journal 251 (2023), 669–685 (with Shuji Saito and Georg Tamme)
Density of Arithmetic Representations of Function Fields Épijournal Géom. Algébrique 6 (2022), 18 pages (with Hélène Esnault)

Preprints:

Semi-stable Lefschetz Pencils 46 pages (2023) (with Hélène Esnault)
A remark on crystalline cohomology 10 pages (2024) (with Georg Tamme)
A non-abelian version of Deligne's Fixed Part Theorem 23 pages (with Hélène Esnault)

Other Notes:

Milnor K-Theory and Motivic Cohomology extended version of notes of a talk given at the Oberwolfach Workshop “Algebraic K-Theory 2006”, 5 pages
Notes on Deligne’s letter to Drinfeld dated March 5, 2007 (with H. Esnault) (version 29.6.11) 19 pages.
Delignes kompatible l-adische Darstellungen Mitteilungen der DMV (2012)
Cantor-Medaille für H. Esnault Mitteilungen der DMV (2019)
Plenarvortrag DMV-Jahrestagung 2020

Curriculum Vitae
Fakultät für Mathematik
SFB Higher Invariants
Datenschutzerklärung Impressum