Alexander Schenkel

Dipartimento di Matematica
Università di Trento
Via Sommarive 14
38123 Povo (Trento)
Italia

Office: 2.10

Email: alexander.schenkel [[[at]]] unitn.it
aschenkel83 [[[at]]] gmail.com

About me:

I am an Associate Professor in Mathematical Physics in the Department of Mathematics at the University of Trento.

Before that I was an Assistant Professor and then Associate Professor in Mathematical Physics in the School of Mathematical Sciences at the University of Nottingham and, from 2016 to 2024, also a Royal Society University Research Fellow.

My postdoc positions were in the Department of Mathematics at the University of Regensburg, the Department of Mathematics at Heriot-Watt University Edinburgh (funded by a research fellowship of Deutsche Forschungsgemeinschaft DFG), and the Department of Mathematics at the University of Wuppertal.

I did my PhD in the Department of Theoretical Physics at the University of Wuerzburg.

More information about me can be found in my CV. My ORCID ID is 0000-0001-6790-1784.

Research interests:

Mathematical physics, algebra and topology

Higher categorical structures in quantum field theory

Classical and quantum gauge theory on Lorentzian manifolds

Noncommutative differential geometry, Hopf algebras and deformation quantization

Publications:

See Google Scholar or arXiv or Research Gate or INSPIRE or my full List of Publications.

Teaching:

See my CV for a list of courses that I have taught.

Slides of some (relatively recent) talks:

Quantum Field Theory and Topological Phases via Homotopy Theory and Operator Algebras, MPIM Bonn and CMSA Harvard (July 2025): C*-categorical prefactorization algebras for superselection sectors and topological order

download: MPI-Schenkel.pdf

Seminar, Shing-Tung Yau Center of Southeast University (May 2025): 5d semi-holomorphic higher Chern-Simons theory and 3d integrable field theories

download: 5dCS25.pdf

Topology Seminar, University of Oxford (November 2023): Quantum field theories on Lorentzian manifolds

download: Oxford23.pdf

LMS Undergraduate Summer School, University of Sheffield (July 2023): Interactions between algebra, geometry and quantum theory

download: LMS23_lectures-Schenkel.pdf

Interactions between Poisson Geometry and Quantisation, RTG 2491 Goettingen (March 2023): Higher structures and quantization

download: DAG.pdf

Geometric/Topological Quantum Field Theories and Cobordisms (March 2023): Quantum field theories on Lorentzian manifolds

download: AbuDhabi23.pdf

Interactions and Applications of Homotopical Algebra and Geometry (November 2022): Derived algebraic geometry in mathematical physics

download: Luxembourg22.pdf

AQFTUK York (July 2022): BV and BFV formalism beyond perturbation theory

download: AQFTUK22.pdf

Quantum Algebra Seminar at Queen Mary University London (May 2022): Quantization of derived cotangent stacks

download: QMUL22.pdf

Mathematical Physics Seminar at University of Hertfordshire (April 2022): BV and BFV formalism beyond perturbation theory

download: Herts22.pdf

Geometry and Topology Seminar at Texas Tech University (March 2022): An AQFT perspective on quantum gauge theories

download: Texas22.pdf

Seminar at the Department of Mathematics, University of York (January 2022): On the time-slice axiom in 2d conformal AQFT

download: York22.pdf

Seminar at the Institute of Mathematics, Czech Academy of Sciences (January 2021): Boundary conditions and edge modes in gauge theories

download: Prague21.pdf

Higher Structures and Field Theory, ESI Vienna (August-September 2020): Mini-course on higher structures in algebraic quantum field theory

download: Lecture1.pdf , Lecture2.pdf , Lecture3.pdf

``Mathematics of interacting QFT models'', York (July 2019): Higher structures in algebraic quantum field theory

download: York19.pdf

North British Mathematical Physics Seminar 56, York (June 2019): Factorization Algebras vs Algebraic QFT

download: NBMPS19.pdf

Pure Mathematics Colloquium, Hamburg (April 2018): Homotopical algebraic quantum field theory

download: Hamburg18.pdf

``Quantum Physics meets Mathematics - A workshop on the occasion of Klaus Fredenhagen's 70th birthday'', Hamburg (December 2017): From Fredenhagen's universal algebra to homotopy theory and operads

download: Hamburg17.pdf

``Mathematical models for noncommutativity in physics and quantum spacetime'', Warsaw (November 2017): Categorical techniques for NC geometry and gravity

download: Warsaw17.pdf

Fields, Strings and Geometry Seminars, University of Surrey (October 2017): The stack of Yang-Mills fields

download: Surrey17.pdf

``Foundational and structural aspects of gauge theories'', MITP Mainz (May 2017): Towards homotopical algebraic quantum field theory

download: Mainz17.pdf

Bayrischzell Workshop ``Quantum spacetime structures: Dualities and new geometries'' (May 2016): Mapping spaces and automorphisms groups of toric NC spaces

download: bayrischzell16.pdf

AMS, EMS and SMP Meeting 2015, Special Session on ``Algebraic and Categorical Aspects of Hopf Algebras'', Porto (June 2015): Nonassociative geometry in quasi-Hopf representation categories

download: porto15.pdf

Mathematical Physics Group, University of York & Department of Mathematics, University of Wuerzburg & Department of Mathematics, University of Regensburg (April 2015): Gauge theories in locally covariant quantum field theory

download: april2015.pdf

Department of Mathematics, University of Genova (January 2015): Supergeometry in locally covariant QFT

download: genova15.pdf