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:

Theresa Koller
Zimmer: M 226
Telefon: (0941) 943 2990
Email: theresa1.koller }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,
Dr. Florian Strunk, M 219, Tel: (0941) 943 2768

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

• Vorlesung Algebraische Geometrie III
• Seminar über projektive Geometrie.
• AG-Seminar, Mo 14-16, M 101.

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:

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)

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