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Contact

• workRoom C45a Mathematical Sciences Building
  University Park
  Nottingham
  NG7 2RD
  UK
• Robert.Laugwitz@nottingham.ac.uk

Biography

2015 DPhil Pure Mathematics (Oxford)

2015-16 EPSRC Doctoral Prize Fellowship (University of East Anglia)

2016-2019 Triennial Assistant Professor (Rutgers University)

2019 Senior Research Associate (UEA)

2019-2022 Nottingham Research Fellow

Since 2022 Assistant Professor in Mathematics

Research Summary

I am mainly interested in representation theory, quantum groups, tensor categories, categorification, and exploring applications of these areas to low-dimensional topology and mathematical physics.… read more

Recent Publications

• KEMP, CAMERON, LAUGWITZ, ROBERT and SCHENKEL, ALEXANDER, 2025. Journal of Geometry and Physics. 212, 105456
• FLAKE, JOHANNES, LAUGWITZ, ROBERT and POSUR, SEBASTIAN, 2025. Adv. Math.. (In Press.)
• LAUGWITZ, ROBERT and MIEMIETZ, VANESSA, 2025. Arkiv för Matematik. (In Press.)
• LAUGWITZ, ROBERT and MIEMIETZ, VANESSA, 2025. Documenta Mathematica. (In Press.)

• View all publications

Current Research

I am mainly interested in representation theory, quantum groups, tensor categories, categorification, and exploring applications of these areas to low-dimensional topology and mathematical physics. Some of my research focuses on non-commutative generalizations of symmetric functions.

My research can best be classified with in the areas of Representation Theory (for example, of braided bialgebras, monoidal categories or 2-categories), Quantum Algebra (Hopf algebras, Nichols algebras, etc), Diagrammatic Tensor Categories, and further work in Noncommutative Algebra (Koszul algebras, noncommutative symmetric functions).

Part of my recent work relates to categorification (joint work with Vanessa Miemietz and You Qi). My work with Vladimir Retakh falls into the area of noncommutative geometry.

My preprints are available on the .

• KEMP, CAMERON, LAUGWITZ, ROBERT and SCHENKEL, ALEXANDER, 2025. Journal of Geometry and Physics. 212, 105456
• FLAKE, JOHANNES, LAUGWITZ, ROBERT and POSUR, SEBASTIAN, 2025. Adv. Math.. (In Press.)
• LAUGWITZ, ROBERT and MIEMIETZ, VANESSA, 2025. Arkiv för Matematik. (In Press.)
• LAUGWITZ, ROBERT and MIEMIETZ, VANESSA, 2025. Documenta Mathematica. (In Press.)
• LAUGWITZ, ROBERT, WALTON, CHELSEA and YAKIMOV, MILEN, 2025. Forum of Mathematics, Sigma. (In Press.)
• CHENG, MICHELLE and LAUGWITZ, ROBERT, 2024. Journal of Humanistic Mathematics. 14(2), 286-337
• JOHANNES FLAKE, NATE HARMAN and ROBERT LAUGWITZ, 2023. Proceedings of the London Mathematical Society. 126(4), 1134–1181
• HANNAH, SAMUEL, LAUGWITZ, ROBERT and ROS CAMACHO, ANA, 2023. SIGMA Symmetry Integrability Geom. Methods Appl.. 19, Paper No. 075, 42
• LAUGWITZ, ROBERT and WALTON, CHELSEA, 2023. Comm. Math. Phys.. 403(3), 1363-1409
• FLAKE, JOHANNES, LAUGWITZ, ROBERT and POSUR, SEBASTIAN, 2023. Adv. Math.. 415, Paper No. 108892, 70
• KHOVANOV, MIKHAIL and LAUGWITZ, ROBERT, 2023. Planar diagrammatics of self-adjoint functors and recognizable tree series Pure Appl. Math. Q.. 19(5), 2409-2499
• LAUGWITZ, ROBERT and WALTON, CHELSEA, 2022. International Mathematics Research Notices. 2022(20), 15826-15868
• FLAKE, JOHANNES and LAUGWITZ, ROBERT, 2021. Journal of the London Mathematical Society. 103(3), 1153-1185
• ROBERT LAUGWITZ and YOU QI, 2021. Quantum Topology. 13(3), 539–578
• ROBERT LAUGWITZ, 2020. Communications in Contemporary Mathematics. 22(9), 1950068
• ROBERT LAUGWITZ and VLADIMIR RETAKH, 2020. Moscow Math. Journal. 20(1), 93–126
• LAUGWITZ, ROBERT and WALTON, CHELSEA, 2020. Transformation Groups. 26(3), 957-993
• ROBERT LAUGWITZ and MIEMIETZ, VANESSA, 2020. Advances in Mathematics. 361, 106937
• ROBERT LAUGWITZ, 2019. Communications in Contemporary Mathematics. 21(4), 1850045
• ROBERT LAUGWITZ and VLADIMIR RETAKH, 2018. J. Pure Appl. Algebra. 222(9), 2810-2822
• ROBERT LAUGWITZ, 2017. Comm. Algebra. 45(8), 3653-3666
• ROBERT LAUGWITZ, 2016. Algebr. Represent. Theory. 19(3), 547-578
• ROBERT LAUGWITZ, 2015. J. Pure Appl. Algebra. 219(10), 4541--4596