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Assoz. Prof. Nils Carqueville, PhD
T: +43-1-4277-73124
Carqueville, N., Meir, E., & Szegedy, L. (2025). Invariants of r-spin TQFTs and non-semisimplicity. Journal of Algebra, 664/Part A, 101-128. https://doi.org/10.48550/arXiv.2306.08608, https://doi.org/10.1016/j.jalgebra.2024.08.039
Brunner, I., Carqueville, N., Fragkos, P., & Roggenkamp, D. (2025). Truncated Affine Rozansky–Witten Models as Extended Defect TQFTs. Communications in Mathematical Physics, 406(2), Article 46. https://doi.org/10.48550/arXiv.2307.06284, https://doi.org/10.1007/s00220-024-05164-7
Carqueville, N., Del Zotto, M., & Runkel, I. (2025). Topological Defects. In S. Paycha, & K. Rejzner (Eds.), Encyclopedia of Mathematical Physics, Second Edition: Analysis & Quantum Field Theory (2. ed., Vol. 5, pp. 621-647). Elsevier. https://doi.org/10.1016/B978-0-323-95703-8.00098-7
Carqueville, N., Mulevicius, V., Runkel, I., Schaumann, G., & Scherl, D. (2024). Reshetikhin–Turaev TQFTs Close Under Generalised Orbifolds. Communications in Mathematical Physics, 405(10), Article 242. https://doi.org/10.1007/s00220-024-05068-6
Carqueville, N., & Szegedy, L. (2023). Fully extended r-spin TQFTs. Quantum Topology, 14(3), 467–532. https://doi.org/10.4171/QT/193
Brunner, I., Carqueville, N., & Roggenkamp, D. (2023). Truncated Affine Rozansky–Witten Models as Extended TQFTs. Communications in Mathematical Physics, 400(1), 371–415. https://doi.org/10.1007/s00220-022-04614-4, https://doi.org/10.48550/arXiv.2201.03284
Carqueville, N., & Müller, L. (2023). Orbifold completion of 3-categories. https://doi.org/10.48550/arXiv.2307.06485
Carqueville, N. (2023). Orbifolds of topological quantum field theories. https://doi.org/10.48550/arXiv.2307.16674
Andriot, D., Carqueville, N., & Cribiori, N. (2022). Looking for structure in the cobordism conjecture. SciPost Physics, 13(3), Article 071. https://doi.org/10.21468/SciPostPhys.13.3.071
Carqueville, N., Mulevicius, V., Runkel, I., Schaumann, G., & Scherl, D. (2021). Orbifold graph TQFTs. arXiv.org. Advance online publication. https://arxiv.org/abs/2101.02482
Carqueville, N., & Montoya, F. M. (2020). Extending Landau-Ginzburg Models to the Point. Communications in Mathematical Physics, 379(3), 955-977. https://doi.org/10.1007/s00220-020-03871-5
Carqueville, N., Runkel, I., & Schaumann, G. (2020). Orbifolds of Reshetikhin–Turaev TQFTs. Theory and Applications of Categories, 35, 513-561. Article 15.
Carqueville, N., Meusburger, C., & Schaumann, G. (2020). 3-dimensional defect TQFTs and their tricategories. Advances in Mathematics, 364, Article 107024. https://doi.org/10.1016/j.aim.2020.107024
Carqueville, N., Schaumann, G., & Runkel, I. (2019). Orbifolds of n-dimensional defect TQFTs. Geometry & Topology, 23(2), 781-864. https://doi.org/10.2140/gt.2019.23.781
Carqueville, N., Schaumann, G., & Runkel, I. (2019). Line and surface defects in Reshetikhin-Turaev TQFT. Quantum Topology, 10(3), 399 - 439. https://doi.org/10.4171/qt/121
Carqueville, N., & Runkel, I. (2018). Introductory lectures on topological quantum field theory. Banach Center Publications, 114, 9-47. https://doi.org/10.4064/bc114-1
Carqueville, N. (2018). Lecture notes on 2-dimensional defect TQFT. Banach Center Publications, 114, 49-84. https://doi.org/10.4064/bc114-2
Carqueville, N. (2015). Calabi-Yau completions and orbifold equivalences. arXiv.org. https://doi.org/https://arxiv.org/abs/1509.00880
Carqueville, N., Brunner, I., & Pencner, D. (2015). Discrete torsion defects. Communications in Mathematical Physics, 337(1), 429-453. https://doi.org/10.1007/s00220-015-2297-9

Introduction to Topological Quantum Theory with Defects

Carqueville, N. (Speaker)

Sept 2025

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Gauging categorical symmetries

Carqueville, N. (Speaker)

Jul 2025

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Higher structures in topological quantum field theory

Carqueville, N. (Speaker)

May 2025

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifold data as gaugeable non-invertible symmetries

Carqueville, N. (Speaker)

Mar 2025

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Algebraic topological quantum field theory

Carqueville, N. (Speaker)

Dec 2024

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Science@School

Carqueville, N. (Speaker)

Nov 2024

Activity: Talks and presentations › Talk or oral contribution › Science to Public

Orbifold data as gaugeable non-invertible symmetries

Carqueville, N. (Speaker)

Jul 2024

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifold completion of 3-categories

Carqueville, N. (Speaker)

Jun 2024

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifolds in topological quantum field theory

Carqueville, N. (Speaker)

Jun 2024

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Science@School: Klimawandel und Klimakrise

Carqueville, N. (Speaker)

Jun 2024

Activity: Talks and presentations › Talk or oral contribution › Science to Public

Orbifold data as gaugeable non-invertible symmetries

Carqueville, N. (Speaker)

Dec 2023

Activity: Talks and presentations › Talk or oral contribution › Science to Science

TQFTs, state sum models, and string net models

Carqueville, N. (Speaker)

Nov 2023

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifold completion of 3-categories

Carqueville, N. (Speaker)

16 Aug 2023

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifold data as gaugeable non-invertible symmetries

Carqueville, N. (Speaker)

Aug 2023

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Extended defect TQFTs

Carqueville, N. (Speaker)

2023

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Klimawandel

Carqueville, N. (Speaker)

2023

Activity: Talks and presentations › Talk or oral contribution › Science to Public

Klimawandel

Carqueville, N. (Speaker)

2023

Activity: Talks and presentations › Talk or oral contribution › Science to Public

Truncated Rozansky-Witten models as extended defect TQFTs

Carqueville, N. (Speaker)

2023

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Truncated Rozansky-Witten models as extended defect TQFTs

Carqueville, N. (Speaker)

2023

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Truncated Rozansky-Witten models as extended defect TQFTs

Carqueville, N. (Speaker)

2023

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Truncated Rozansky-Witten models as extended TQFTs

Carqueville, N. (Speaker)

Dec 2022

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Topological quantum field theory

Carqueville, N. (Speaker)

17 Nov 2022

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Higher categories and topological quantum field theory

Carqueville, N. (Speaker)

Oct 2022

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Symmetrie in Physik und Mathematik

Carqueville, N. (Speaker)

Oct 2022

Activity: Talks and presentations › Talk or oral contribution › Science to Public

Truncated Rozansky-Witten models as extended TQFTs

Carqueville, N. (Speaker)

Aug 2022

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Symmetrie in Mathematik und Physik

Carqueville, N. (Speaker)

Jun 2022

Activity: Talks and presentations › Talk or oral contribution › Science to Public

Truncated Rozansky–Witten models as extended TQFTs

Carqueville, N. (Speaker)

Jun 2022

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Truncated Rozansky–Witten models as extended TQFTs

Carqueville, N. (Speaker)

Jun 2022

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Extended spin TQFTs

Carqueville, N. (Speaker)

2021

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Extended TQFTs

Carqueville, N. (Speaker)

2021

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Fully extended spin TQFTs

Carqueville, N. (Speaker)

2021

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifolds of topological quantum field theories

Carqueville, N. (Speaker)

2021

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifolds of topological quantum field theories

Carqueville, N. (Speaker)

2021

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifolds of topological quantum field theories

Carqueville, N. (Speaker)

2021

Activity: Talks and presentations › Talk or oral contribution › Science to Science

A first taste of topological quantum field theory

Carqueville, N. (Speaker)

Dec 2020

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Defect and extended TQFTs,

Carqueville, N. (Speaker)

Aug 2020

Activity: Talks and presentations › Talk or oral contribution › Science to Science

An Introduction to Topological quantum field theory

Carqueville, N. (Speaker)

Jun 2020

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Topological quantum field theory with defects

Carqueville, N. (Speaker)

Jun 2020

Activity: Talks and presentations › Talk or oral contribution › Science to Science

An introduction to functorial TQFT with defects

Carqueville, N. (Speaker)

May 2020

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Topological quantum field theory and orbifolds

Carqueville, N. (Speaker)

Feb 2020

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Topological quantum field theory and orbifolds

Carqueville, N. (Speaker)

Feb 2020

Activity: Talks and presentations › Talk or oral contribution › Science to Science

3-dimensional defect TQFTs and their tricategories

Carqueville, N. (Speaker)

2017

Activity: Talks and presentations › Talk or oral contribution › Science to Science

ADE orbifolds and beyond

Carqueville, N. (Speaker)

2017

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Algebra via higher categories

Carqueville, N. (Speaker)

2017

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Algebra via higher categories

Carqueville, N. (Speaker)

2017

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Defects in affine Landau-Ginzburg models

Carqueville, N. (Speaker)

2017

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifolds of defect TQFTs

Carqueville, N. (Speaker)

2017

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifolds of defect TQFTs

Carqueville, N. (Speaker)

2017

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifolds of defect TQFTs

Carqueville, N. (Speaker)

2017

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifolds of defect TQFTs

Carqueville, N. (Speaker)

2017

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifolds of n-dimensional defect TQFTs

Carqueville, N. (Speaker)

2017

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Topological quantum field theories: state sums and defects

Carqueville, N. (Speaker)

2017

Activity: Talks and presentations › Talk or oral contribution › Science to Science

Orbifold equivalence for isolated singularities

Carqueville, N. (Speaker)

Dec 2016

Activity: Talks and presentations › Talk or oral contribution › Other

State sums, orbifolds, and isolated singularities

Carqueville, N. (Speaker)

Oct 2016

Activity: Talks and presentations › Talk or oral contribution › Other

Topological quantum field theory: symmetry and defects

Carqueville, N. (Speaker)

Oct 2016

Activity: Talks and presentations › Talk or oral contribution › Other

State sums and orbifolds in 2 and 3 dimensions

Carqueville, N. (Speaker)

Sept 2016

Activity: Talks and presentations › Talk or oral contribution › Other

3-dimensional defect TQFTs and their tricategories

Carqueville, N. (Speaker)

Jul 2016

Activity: Talks and presentations › Talk or oral contribution › Other

Orbifolds in 2d and 3d

Carqueville, N. (Speaker)

Jul 2016

Activity: Talks and presentations › Talk or oral contribution › Other

3-dimensional defect TQFTs and their tricategories

Carqueville, N. (Speaker)

Jun 2016

Activity: Talks and presentations › Talk or oral contribution › Other

From commutative Frobenius algebras to Gray categories with duals

Carqueville, N. (Speaker)

May 2016

Activity: Talks and presentations › Talk or oral contribution › Other

Orbifold completion and 3d defect TQFT

Carqueville, N. (Speaker)

May 2016

Activity: Talks and presentations › Talk or oral contribution › Other

Topological quantum field theory: symmetry and defects

Carqueville, N. (Speaker)

May 2016

Activity: Talks and presentations › Talk or oral contribution › Other

Topological quantum field theory: symmetry and defects

Carqueville, N. (Speaker)

Feb 2016

Activity: Talks and presentations › Talk or oral contribution › Other

Topological quantum field theory: symmetry and defects

Carqueville, N. (Speaker)

Feb 2016

Activity: Talks and presentations › Talk or oral contribution › Other

Topological invariants and new equivalences via higher categories

Carqueville, N. (Speaker)

2016

Activity: Talks and presentations › Talk or oral contribution › Other

Calabi-Yau completion and orbifold equivalence

Carqueville, N. (Speaker)

Aug 2015

Activity: Talks and presentations › Talk or oral contribution › Other

Equivariant completion of defect bicategories

Carqueville, N. (Speaker)

Apr 2015

Activity: Talks and presentations › Talk or oral contribution › Other

Equivariant completion of defect TQFTs

Carqueville, N. (Speaker)

20 Jan 2015

Activity: Talks and presentations › Talk or oral contribution › Other

Equivariant completion of defect bicategories

Carqueville, N. (Speaker)

4 Dec 2014

Activity: Talks and presentations › Talk or oral contribution › Other

Two-dimensional topological field theories with defects

Carqueville, N. (Speaker)

4 Dec 2014

Activity: Talks and presentations › Talk or oral contribution › Other

Equivariant completion of bicategories

Carqueville, N. (Speaker)

Dec 2014

Activity: Talks and presentations › Talk or oral contribution › Other

Equivariant completion of bicategories

Carqueville, N. (Speaker)

Dec 2014

Activity: Talks and presentations › Talk or oral contribution › Other

Equivariant completion and Dynkin quivers

Carqueville, N. (Speaker)

11 Nov 2014

Activity: Talks and presentations › Talk or oral contribution › Other

Science@School

Carqueville, N. (Speaker)

Jun 2014

Activity: Talks and presentations › Talk or oral contribution › Science to Public

Mathematical Physics

Währinger Straße 38-42
1090 Wien
Room: 3524

T: +43-1-4277-73124

nils.carqueville@univie.ac.at