In my spare time, I like singing karaoke.
Pronouns: he/him/his.
To appear |
Steenrod operations via higher Bruhat orders, (with Guillaume Laplante-Anfossi) |
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Proceedings of the London Mathematical Society. arXiv. |
To appear |
The two higher Stasheff–Tamari orders are equal |
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Journal of the European Mathematical Society. DOI, arXiv. |
2024 |
A survey of congruences and quotients of partially ordered sets |
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EMS Surveys in Mathematical Sciences. DOI, arXiv. |
2024 |
Triangulations of prisms and preprojective algebras of type A, (with Osamu Iyama) |
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International Mathematics Research Notices. DOI, arXiv. |
2024 |
Stability spaces of string and band modules, (with Sibylle Schroll, Aran Tattar, Hipolito Treffinger, and Yadira Valdivieso) |
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Journal of Pure and Applied Algebra. DOI, arXiv. |
2023 |
Quiver combinatorics and triangulations of cyclic polytopes |
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Algebraic Combinatorics. DOI, arXiv. |
2023 |
The first higher Stasheff–Tamari orders are quotients of the higher Bruhat orders |
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Electronic Journal of Combinatorics. DOI, arXiv. |
2022 |
New interpretations of the higher Stasheff–Tamari orders |
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Advances in Mathematics. DOI, arXiv. |
2021 |
The combinatorics of tensor products of higher Auslander algebras of type A, (with Jordan McMahon) |
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Glasgow Mathematical Journal. DOI, arXiv. |
2024 |
From higher Bruhat orders to Steenrod cup-i coproducts, (with Guillaume Laplante-Anfossi) |
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Proceedings of the 35th International Conference on Formal Power Series and Algebraic Combinatorics, Séminaire Lotharingien de Combinatoire. 91B, Art. 10. Link. |
2024 |
Donaldson–Thomas invariants for the Bridgeland–Smith correspondence |
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Cluster Algebras and Its Applications, Oberwolfach Reports. Link. |
2023 |
The higher Stasheff–Tamari orders in representation theory |
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Representations of Algebras and Related Structures. DOI, arXiv. |
2023 |
Studying Triangulations of Even-Dimensional Cyclic Polytopes via Directed Graphs |
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Proceedings of the 34th International Conference on Formal Power Series and Algebraic Combinatorics, Séminaire Lotharingien de Combinatoire 89B, Art. 4. Link. |
2022 |
Triangulations of cyclic polytopes and the higher Auslander algebras of type A |
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Various issues on representation theory and related topics, RIMS Kōkyūroku No. 2234. Link. |
2021 |
The first higher Stasheff–Tamari orders are quotients of the higher Bruhat orders |
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Proceedings of the 33rd International Conference on Formal Power Series and Algebraic Combinatorics, Séminaire Lotharingien de Combinatoire 85B, Art. 6. Link. |
8/2024 |
Donaldson–Thomas invariants for the Bridgeland–Smith correspondence |
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Algebraic Geometry Seminar, University of Cambridge |
8/2024 |
Donaldson–Thomas invariants for the Bridgeland–Smith correspondence |
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International Conference on Representations of Algebras, Shanghai Jiao Tong University |
6/2024 |
Donaldson–Thomas invariants for the barbell quiver with potential |
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Cologne algebra seminar, University of Cologne |
6/2024 |
Donaldson–Thomas invariants for the Bridgeland–Smith correspondence |
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Geometric, Algebraic, and Physical structures around the moduli of Meromorphic Quadratic Differentials, Simons Center for Geometry and Physics, Stony Brook University |
5/2024 |
Donaldson–Thomas invariants for the Bridgeland–Smith correspondence |
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Algebraic Geometry Days in Glasgow, University of Glasgow |
4/2024 |
Donaldson–Thomas invariants for the Bridgeland–Smith correspondence |
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Leeds Algebra Seminar, University of Leeds |
4/2024 |
Donaldson–Thomas invariants for the Bridgeland–Smith correspondence |
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Algebra and Number Theory Seminar, University of Vienna |
3/2024 |
Donaldson–Thomas invariants for the Bridgeland–Smith correspondence |
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Paris Algebra Seminar, Institut de Mathématiques de Jussieu-Paris Rive Gauche |
1/2024 |
Donaldson–Thomas invariants for the Bridgeland–Smith correspondence |
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Clusters and their Applications in the North, University of Glasgow |
1/2024 |
Donaldson–Thomas invariants for the Bridgeland–Smith correspondence |
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Cluster Algebras and Its Applications, Mathematisches Forschungsinstitut Oberwolfach |
10/2023 |
Donaldson–Thomas invariants for the Bridgeland–Smith correspondence |
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Sheffield Geometry and Physics Seminar, University of Sheffield |
10/2023 |
Donaldson–Thomas invariants for the Bridgeland–Smith correspondence |
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EGRET seminar, University of Edinburgh |
9/2023 |
Donaldson–Thomas theory of quivers with potential |
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Exact Asymptotics Theoretical Sciences Visiting Program, Okinawa Institute of Science and Technology |
8/2023 |
Higher-dimensional cluster combinatorics and representation theory |
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OIST Representation Theory Seminar, Okinawa Institute of Science and Technology |
8/2023 |
Triangulations of cyclic polytopes through the lens of reconfiguration |
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Minisymposium on Combinatorial Reconfiguration, International Congress on Industrial and Applied Mathematics, Waseda University, Tokyo |
8/2023 |
Combinatorics of KP solitons |
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Exact Asymptotics Theoretical Sciences Visiting Program, Okinawa Institute of Science and Technology |
7/2023 |
Triangulations of prisms and preprojective algebras of type A |
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Combinatorial Representation Theory in Leeds, University of Leeds |
6/2023 |
A structural view of maximal green sequences |
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Cluster Structures in the North, University of Central Lancashire |
4/2023 |
A structural view of maximal green sequences |
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Maurice Auslander Distinguished Lectures and International Conference |
2/2023 |
A structural view of maximal green sequences |
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Algebra Group Seminar, University of Cologne |
12/2022 |
Cyclic polytopes and representation theory |
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Representation Theory of Algebras session, Canadian Mathematical Society Winter Meeting, Toronto |
11/2022 |
The higher Stasheff–Tamari orders on triangulations of cyclic polytopes |
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Séminaire du LaCIM, Université du Québec à Montréal |
11/2022 |
Cyclic polytopes and representation theory |
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Geometry and Mathematical Physics Seminar, University of Birmingham |
11/2022 |
Cyclic polytopes and representation theory |
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Pure Mathematics Seminar, Lancaster University |
10/2022 |
Mutation in higher cluster categories |
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Seminar@Aarhus, Aarhus University |
9/2022 |
A structural approach to maximal green sequences |
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Silting theory, Algebras and Representations, Charles University, Prague |
I have translated a couple of papers of Carathéodory from German into English. I make no claim to any of the mathematics in these papers.
It is also not impossible that I have introduced errors in the process of translation.