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08.2019 - Oberwolfach Leibniz Fellow (together with Dr. Hans Franzen) at MFO
07.2019 - Return grant (DFG)
01.2019 - 06.2019 Visiting researcher at Sapienza University in Rome, Research Fellowship (DFG)

Teaching and Seminars

Winter semester 2017/18

• Exercise classes Lineare Algebra I. Wednesday, 12-14, NA 3/24.
  
• Oberseminar Lie-Theorie (M. Reineke, G. Röhrle). Monday, 14-16, NA 2/24.
  
• Oberseminar Algebraische Geometrie (H. Flenner, M. Reineke). Monday, 16-18, NA 2/64.
  

CV

Boos Cv   (186.5 kB)

Publications and preprints

• Multi-graded nilpotent tuples
  Communications in Algebra, Volume 47, Issue 8, 2019. arxiv:1609.08593
  
• Parabolic orbits of 2-nilpotent elements for classical groups (with Giovanni Cerulli Irelli and Francesco Esposito)
  To appear in: Journal of Lie Theory. arxiv:1802.06425
  
• The (cyclic) enhanced nilpotent cone via quiver representations (with Gwyn Bellamy)
  manuscripta mathematica. Online first 2018. arxiv:1609.04525
  
• Parabolic Conjugation and Commuting Varieties (with Michael Bulois)
  Transformation Groups. Online first 2018. arxiv:1606.08840
  
• Semi-simplicity of the category of admissible D-modules (with Gwyn Bellamy)
  To appear in: Kyoto Journal of Mathematics. arxiv:1709.08986
  
• Staircase algebras and graded nilpotent pairs
  Journal of Pure and Applied Algebra, Volume 221, Issue 8, Pages 1899-2156, 2017. arxiv:1509.04584
  
• Finite parabolic conjugation and commuting varieties
  Oberwolfach Reports, No. 25/2015, Mathematisches Forschungsinstitut Oberwolfach, 2015.
  
• Non-Reductive Conjugation on the Nilpotent Cone
  Algebras and Representation Theory, Volume 17, Issue 6, pp 1683–1706, 2014. arxiv:1504.05374
  
• Finite Parabolic Conjugation on Varieties of Nilpotent Matrices
  Algebras and Representation Theory, Volume 17, Issue 6, pp 1657–1682, 2014. arxiv:1504.05367
  
• Bn-orbits of 2-nilpotent matrices and generalizations (with Markus Reineke)
  Highlights in Lie algebraic methods, Progr. Math., 295, Birkhäuser/Springer, New York, 2012. arxiv:1004.1996
  

Recent conferences and talks

2019

• June 10th. Algebra and Representation Theory Seminar, Tor Vergata, Rome
  Talk: "Towards degenerations for algebras with self-duality"
  
• April 30th. Incontri di Algebra e Geometria, Sapienza Universität, Rom
  Talk: "Conjugation on the nilpotent cone"
  

2018

• April 20th-21st. Workshop "Discrete Categories in Representation Theory", Bielefeld
  
• March 12th-16th. Workshop "Tropical Geometry meets Representation Theory", Cologne
  
• March 5th-9th. Workshop "Geometry and Representation Theory of Algebraic Groups", Bad Honnef
  

2017

• November 9th. Bibo-Seminar , Bielefeld
  Talk: "The algebraic U-quotient of the nilpotent cone"
  
• September 4th-8th. Conference "Some Trends in Algebra 2017", Prag
  Talk: "The U-invariant ring of the nilpotent cone"
  
• July 21st. Oberseminar Darstellungstheorie, Bonn
  Talk: "Representation theory of the enhanced (cyclic) nilpotent cone"
  
• July 12th. Oberseminar der Arbeitsgruppe "Gruppen und Geometrie", Bielefeld
  Talk: "Examining parabolic group actions with quiver representations"
  
• February 06th. Oberseminar "Quivers and representations of algebras", Kaiserslautern
  Talk: "Using quiver representations to prove finiteness criteria"
  
• January 27th - 28th. Darstellungstheorietage 2016, Bochum (organized together with Britta Späth)
  

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