Mathematisches Institut

Dr. Alexander Ivanov

Mathematisches Institut
Universität Bonn
Endenicher Allee 60
53115 Bonn

Zimmer: N1.004
Telefon: +49(0)228-733791
E-Mail: ivanov"at"math.uni-bonn.de

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Lecture in the winter term 2019/20:

• V4A1 - Algebraic Geometry 1
  Monday, 12 (c.t.) - 14h, Kleiner Hörsaal,
  Thursday, 10(c.t.) - 12h, Kleiner Hörsaal.
  First lecture is on October 7th, 2019.
  

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Lecture in the summer term 2019:

• V5A4 - Selected Topics in Algebraic Geometry: Deligne-Lusztig theory
  Tuesday, 8-10h Seminarraum 0.008, first meeting: April 9th, 2019.
  

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In the winter term 2018/19 I was deputy W1-professor at the Goethe-Universität Frankfurt. My homepage there can be found here

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Arbeitsgruppe Arithmetische Algebraische Geometrie in Bonn

Veranstaltungen SS 17

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Preprints

• (with Charlotte Chan) On loop Deligne-Lusztig varieties of Coxeter type for inner forms of GL_n , preprint 2019, submitted.
  Link to the axriv version.

• (with Jared Weinstein) The smooth locus in infinite-level Rapoport-Zink spaces, preprint 2019, submitted.
  Link to the axriv version.

• (with Charlotte Chan) Cohomological representations of parahoric subgroups, preprint 2019, submitted.
  Link to the axriv version.

• (with Charlotte Chan) Affine Deligne-Lusztig varieties at infinite level preprint 2018, submitted
  Link to the axriv version.

• Reconstructing decomposition subgroups in arithmetic fundamental groups using regulators, preprint 2014, submitted.
  Link to the axriv version.

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Published articles

• Ordinary GL₂(F)-representations in characteristic two via affine Deligne-Lusztig constructions (2018)
  to appear in Math. Res. Lett.
  Link to the axriv version.

• Ramified automorphic induction and zero-dimensional affine Deligne-Lusztig varieties,
  Mathematische Zeitschrift 288, 439-490 (2018).
  Link to the axriv version. Direct link to the journal version.

• Densities of primes and realization of local extensions
  Transactions Amer. Math. Soc. 371(2019), 83-103.
  Link to the axriv version.

• On a generalization of the Neukirch-Uchida theorem
  Moscow Mathematical J. 17 (2017), no. 3, 371-383.
  Link to the axriv version. Direct link to the journal version.
  

• Affine Deligne-Lusztig varieties of higher level and the local Langlands correspondence for GL₂
  Advances in Mathematics 299 (2016), 640-686.
  Link to the axriv version.

• Stable sets of primes in number fields
  Algebra and Number Theory J. 10 (2016), no. 1, 1-36.
  Link to the axriv version. Direct link to the journal version.
  

• On some anabelian properties of arithmetic curves
  Manuscripta Mathematica 144 (2014), no. 3, 545-564.
  Link to the axriv version.

• Cohomology of affine Deligne-Lusztig varieties for GL₂,
  Journal of Algebra 383 (2013), 42-62.
  Link to the axriv version.

Here is the list of my articles on arXiv.

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Unpublished notes

• On the finite type property of certain affine Deligne-Lusztig varieties, 2012.
  Link to the arxiv version.

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Abschlussarbeiten

• Arithmetic and anabelian theorems for stable sets of primes in number fields, Dissertation, Heidelberg, 2013

• The cohomology of affine Deligne Lusztig varieties in the affine flag manifold of GL₂, Diplomarbeit, Bonn, 2009

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Lehre vergangener Semstester

Wintersemester 2017/18

• V5A3 - Advanced Topics in Algebraic Geometry: Linear Algebraic Groups
  Tuesday, 10-12h and Thursday, 10-12, N 0.007 (Neubau), first meeting: 10.10.2017.

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Lebenslauf

Hier ist mein Lebenslauf.

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Links

Rheinische Kleine AG

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Zuletzt geändert: Maerz 2019, Alexander Ivanov