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In winter semester 22/23 I give the lecture "Darstellungstheorie assoziativer Algebren" (Wednesday 10-12, Friday 10-12). Please find more details below.

My project "Modelling classical types: Algebraic group actions via algebras with symmetries" is funded by DFG during the time period 02/2021 - 01/2024.

I am a member of Graduiertenkolleg 2240 (Heinrich-Heine Universität Düsseldorf and Bergischen Universität Wuppertal).

Recent conferences and talks

2023

• January 27th - 28th. Algebras and Representation Theory Network Meeting, Köln.
  Talk: tba
  
• January 16th. Oberseminar Algebra, Aachen.
  Talk: tba
  

2022

• December 14th. Oberseminar Algebra, Paderborn.
  Talk: tba
  
• October 28 - 29th. Darstellungstheorietage 2022, Kaiserslautern.
  Talk: From type A to all classical Lie types: Let's discuss Symmetric Representation Theory
  
• September 27 - 28th. Conference "Representation Theory and Triangulated Categories", Paderborn.
  
• September 07 - 09th. Workshop "Quivers, Representation Theory and Physics", Köln.
  
• August 03 - 12th. 20th ICRA, Uruguay and Argentina (Online).
  Talk: About symplectic and orthogonal orbit closure relations
  
• May 1st - 7th. Workshop "Interactions between Algebraic Geometry and Noncommutative Algebra ", Mathematisches Forschungsinstitut Oberwolfach.
  Talk: Approaching symplectic/orthogonal orbit closure relations
  
• March 28th. Algebra and Geometry Seminar, Queen's-RMC, Canada (Online).
  Talk: Symmetric quiver representations and degenerations
  
• February 14-16th. Conference "Representation Theory and Geometry", Queen's-RMC, Canada (Online)
  
• January 4th. Flash talks in Representation Theory, NTNU (Online)
  

2021

• November 13th. Workshop "Representations of algebras and sheaves", Bielefeld.
  Talk: Symmetric quiver representations and degenerations
  
• September 1st -10th. A conference in celebration of the work of Bill Crawley-Boevey, Online/ICMS, Edinburgh.
  
• July 15th. GRK 2240 Seminar, HHU Düsseldorf
  Talk: On symplectic and orthogonal orbit closure relations
  
• June 17th. SMRI Algebra and Geometry, Sydney/Online
  Talk: Advertising symmetric quivers and their representations
  
• May 22th to 28th. Women and Mathematics, Institute for Advanced Study, Princeton / Online
  Talk: Classical Lie-theoretic questions via Representation Theory
  
• May 15th-16th. Workshop Women in Combinatorics and Representation Theory, UC Riverside/Online
  Talk: Classical group actions via symmetric representations
  Panel discussion: Sustaining the career
  
• April 29th. FD Seminar, Online
  Talk: On symmetric quivers and their degenerations
  

Publications and preprints

• Symmetric degenerations are not in general induced by type A degenerations (with Giovanni Cerulli Irelli)
  Rendiconti di Matematica e delle sue Applicazioni (7). Volume 43 (2022). arxiv:2107.10559
  
• On degenerations and extensions of symplectic and orthogonal quiver representations (with Giovanni Cerulli Irelli)
  Preprint 2021. arxiv:2106.08666
  
• Semi-simplicity of the category of admissible D-modules (with Gwyn Bellamy)
  Kyoto Journal of Mathematics, Volume 61, Issue 1, 2021. arxiv:1709.08986
  
• Weight Spaces and Attracting Sets for Torus Actions on Quiver Moduli (with Hans Franzen)
  To appear in Bulletin of the London Mathematical Society (Preprint 2020). arxiv:2002.12049
  
• The (cyclic) enhanced nilpotent cone via quiver representations (with Gwyn Bellamy)
  manuscripta mathematica, Volume 161, Issue 3, 2020. arxiv:1609.04525
  
• 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)
  Journal of Lie Theory, Volume 29, Issue 4, 2019. arxiv:1802.06425
  
• Parabolic Conjugation and Commuting Varieties (with Michael Bulois)
  Transformation Groups, Volume 24, Issue 4, 2019. arxiv:1606.08840
  
• 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
  

CV

Boos Cv   (213.7 kB)

Teaching and seminars

Winter semester 2022/23

• Lecture "Darstellungstheorie assoziativer Algebren" with exercise sessions included.
  Wednesday (10-12), Friday (10-12)
  Please register for the moodle course. Lectures start October 12th.
  
• Oberseminar Algebraische Geometrie (M. Reineke)
  Tuesday 12-14, HNC 20
  Topic: tbd
  

Summer semester 2022

• Oberseminar Algebraische Geometrie (M. Reineke)
  Tuesday 12-14, HNC20
  Topic: Open problems about linear degenerations of flag varieties
  

Winter semester 2021/22

• Oberseminar Algebraische Geometrie (M. Reineke)
  Tuesday 12-14 via Zoom
  First Topic: Introduction to Donaldson-Thomas invariants for 3-Calabi-Yau algebras
  Second topic: Linear degenerations of flag varieties
  

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