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Fakultäten der RUB » Fakultät für Mathematik » Lehrstühle » Lehrstuhl Algebra

Aktuelles

Mein Projekt "Modellierung klassischer Typen: Algebraische Gruppenaktionen mittels Algebren mit Symmetrien" wird von der DFG im Zeitraum 02/2021 - 01/2024 gefördert.

Ich bin Mitglied des Graduiertenkollegs 2240 (Heinrich-Heine Universität Düsseldorf und Bergische Universität Wuppertal).

Konferenzen und Vorträge

2024

• 5. Januar. Flash talks in Representation Theory, NTNU (Online).
  

2023

• Wintersemester. Oberseminar Algebra, Paderborn.
  Vortrag: tba
  
• 21. - 23. August. Summer School on Cluster Algebras 2023, Nagoya University (Online).
  Vorlesungsreihe: An introduction to symmetric quiver representations
  
• 3. - 7. Juli. 14th Ukraine Algebra Conference, Sumy State Pedagogical University, Ukraine (Online).
  
• 26. - 30. Juni. Representation Theory in Lyon, University Claude Bernard of Lyon.
  Vortrag: Symmetric quiver representations and beyond
  
• 27. - 28. Januar. Algebras and Representation Theory Network Meeting, Köln.
  Vortrag: On symmetric quiver representations
  
• 16. Januar. Oberseminar Algebra, Aachen.
  Vortrag: On degenerations in symmetric representation varieties
  
• 6. Januar. Flash talks in Representation Theory, NTNU (Online).
  

2022

• 28. - 29. Oktober. Darstellungstheorietage 2022, Kaiserslautern.
  Vortrag: From type A to all classical Lie types: Let's discuss Symmetric Representation Theory
  
• 27. - 28. September. Konferenz "Representation Theory and Triangulated Categories", Paderborn.
  
• 7. - 9. September. Workshop "Quivers, Representation Theory and Physics", Köln.
  
• 3. - 12. August. 20th ICRA 2022, Uruguay and Argentina (Online).
  Vortrag: About symplectic and orthogonal orbit closures
  
• 1. - 7. Mai. Workshop "Interactions between Algebraic Geometry and Noncommutative Algebra", Mathematisches Forschungsinstitut Oberwolfach.
  Vortrag: Approaching symplectic/orthogonal orbit closure relations
  
• 28. März. Algebra and Geometry Seminar, Queen's-RMC, Canada (Online).
  Vortrag: Symmetric quiver representations and degenerations
  
• 14.-16. Februar. Konferenz "Representation Theory and Geometry", Queen's-RMC, Canada (Online).
  
• 4. Januar. "Flash Talks in Representation Theory", NTNU (Online).
  

2021

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

Vorabdrucke und Publikationen

• Symmetric degenerations are not in general induced by type A degenerations (mit Giovanni Cerulli Irelli)
  Rendiconti di Matematica e delle sue Applicazioni (7). Volume 43, 2022.
  
• Approaching symplectic/orthogonal orbit closure relations
  Oberwolfach Reports, No. 23/2022, Mathematisches Forschungsinstitut Oberwolfach, 2022.
  
• On degenerations and extensions of symplectic and orthogonal quiver representations (mit Giovanni Cerulli Irelli)
  Preprint 2021. arxiv:2106.08666
  
• Semi-simplicity of the category of admissible D-modules (mit 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 (mit Hans Franzen)
  Erscheint in Bulletin of the London Mathematical Society (Preprint 2020). arxiv:2002.12049
  
• The (cyclic) enhanced nilpotent cone via quiver representations (mit 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 (mit Giovanni Cerulli Irelli und Francesco Esposito)
  Journal of Lie Theory, Volume 29, Issue 4, 2019. arxiv:1802.06425
  
• Parabolic Conjugation and Commuting Varieties (mit 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, 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, 2014. arxiv:1504.05374
  
• Finite Parabolic Conjugation on Varieties of Nilpotent Matrices
  Algebras and Representation Theory, Volume 17, Issue 6, 2014. arxiv:1504.05367
  
• Bn-orbits of 2-nilpotent matrices and generalizations (mit Markus Reineke)
  Highlights in Lie algebraic methods, Progr. Math., 295, Birkhäuser/Springer, New York, 2012. arxiv:1004.1996
  

Lebenslauf

Boos Cv   (213.7 kB)

Boos Cv De   (209.8 kB)

Lehre und Seminare

Sommersemester 23

• Oberseminar Algebra, Algorithms & Complexity (D. Kuş, M. Reineke, M. Walter)
  Dienstags, 12-14 Uhr in IA 1/53.
  Thema: Discuss interesting algebraic problems (about quivers, tensors, stability, orbit closures, invariants, moment cones, etc.), their interpretations and applications in other disciplines (e.g. theoretical computer science, statistics, quantum information, ...), algorithms for their solution (in particular, how analytical ideas can help solve algebraic problems), and complexity-theoretic barriers.
  

Wintersemester 22/23

• Vorlesung "Darstellungstheorie assoziativer Algebren" mit integrierter Übung
  Mittwoch 10-12, Freitag 10-12
  Schreiben Sie sich bitte in den Moodlekurs der Veranstaltung ein. Der erste Vorlesungstermin ist der 12.10.22.
  
• Oberseminar Algebraische Geometrie (D. Kuş, M. Reineke)
  Dienstags, 12-14 Uhr in HNC20.
  Thema: Brascamp-Lieb capacity and robust subspace recovery
  

Sommersemester 22

• Oberseminar Algebraische Geometrie (D. Kuş, M. Reineke)
  Dienstags, 12-14 Uhr in HNC20.
  Thema: Open problems about linear degenerations of flag varieties
  

Wintersemester 2021/22

• Oberseminar Algebraische Geometrie (D. Kuş, M. Reineke)
  Dienstags, 12-14 Uhr über Zoom.
  Erstes Thema: Introduction to Donaldson-Thomas invariants for 3-Calabi-Yau algebras
  Zweites Thema: Linear degenerations of flag varieties
  

Letzte Änderung: 19.02.2024  | Impressum | Ansprechpartner/in: Inhalt & Technik | Layout: Normal | Kontrast | Druck