Publications and Preprints

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1. Minimal presentations of finite-dimensional representations of pseudocompact algebras.
   Christof Geiss, Carolin Hartung and Jan Schröer.
   arXiv:2610.18805 — 26 pages (v1).
2. Derksen-Weyman-Zelevinsky mutations of infinite-dimensional modules I: Foundations.
   arXiv:2508.21757 — 44 pages (v1).
3. Bangle functions are the generic basis for cluster algebras from punctured surfaces with boundary.
   With Christof Geiss and Jon Wilson.
   arXiv:2310.03306 — 47 pages (v3).
4. Gentle algebras arising from surfaces with orbifold points, Part II: Locally free Caldero-Chapoton functions.
   With Lang Mou.
   Advances in Mathematics 492 (2026), article 110905. DOI: 10.1016/j.aim.2026.110905.
   arXiv:2309.16061 — 45 pages (v3).
5. Laminations of punctured surfaces as τ-regular irreducible components.
   With Christof Geiss and Jon Wilson.
   International Mathematics Research Notices 2025, no. 19, article rnaf264 (46 pages). DOI: 10.1093/imrn/rnaf264.
   arXiv:2308.00792 — 46 pages (v3).
6. On the resolution of kinks of curves on punctured surfaces.
   With Christof Geiss.
   Algebraic & Geometric Topology 25 (2025), no. 6, 3679–3706 (28 pages). DOI: 10.2140/agt.2025.25.3679.
   arXiv:2307.11376 — 24 pages (v2).
7. Semilinear clannish algebras associated to triangulations of surfaces with orbifold points.
   Based on joint work with Raphael Bennett-Tennenhaus.
   Oberwolfach Reports 20 (2023), no. 1, 464–468 (5 pages). DOI: 10.4171/OWR/2023/7.
   Oberwolfach talk, February 2023; contribution to Report No. 7/2023, “Representation Theory of Quivers and Finite-Dimensional Algebras”.
   arXiv:2303.05964 — 4 pages (v1).
8. Semilinear clannish algebras arising from surfaces with orbifold points.
   With Raphael Bennett-Tennenhaus.
   Annals of Representation Theory 2 (2025), no. 4, 439–504 (66 pages). DOI: 10.5802/art.32.
   arXiv:2303.05326 — 50 pages (v2).
9. Semicontinuous maps on module varieties.
   With Christof Geiss and Jan Schröer.
   Journal für die reine und angewandte Mathematik (Crelle’s Journal) 816 (2024), 1–17 (17 pages). DOI: 10.1515/crelle-2024-0049.
   arXiv:2302.02085 — 17 pages (v2).
10. Landau-Ginzburg potentials via projective representations.
    With Bea de Laporte (formerly Bea Schumann).
    Journal of Combinatorial Algebra (2024), published online first, 16 September 2024. DOI: 10.4171/JCA/98.
    arXiv:2208.00028 — 27 pages (v2).
11. Gentle algebras arising from surfaces with orbifold points of order 3, Part I: scattering diagrams.
    With Lang Mou.
    Algebras and Representation Theory 27 (2024), 679–722 (44 pages). DOI: 10.1007/s10468-023-10233-x.
    arXiv:2203.11563 — 39 pages (v3).
12. Quivers with potentials associated to triangulations of closed surfaces with at most two punctures.
    With Jan Geuenich and José Luis Miranda-Olvera.
    Séminaire Lotharingien de Combinatoire, B84c (2022), 21 pages.
    arXiv:2008.10168 — 19 pages (v1).
13. Generic Caldero-Chapoton functions with coefficients and applications to surface cluster algebras.
    With Christof Geiss and Jan Schröer.
    arXiv:2007.05483 — 45 pages (v1).
14. Derived categories of skew-gentle algebras and orbifolds.
    With Sibylle Schroll and Yadira Valdivieso.
    Glasgow Mathematical Journal 64 (2022), no. 3, 649–674 (26 pages). DOI: 10.1017/S0017089521000422.
    arXiv:2006.05836 — 29 pages (v4).
15. Schemes of modules over gentle algebras and laminations of surfaces.
    With Christof Geiss and Jan Schröer.
    Selecta Mathematica (New Series) 28 (2022), no. 1, article 8, 78 pages. DOI: 10.1007/s00029-021-00710-w.
    arXiv:2005.01073 — 72 pages (v3).
16. On a family of Caldero-Chapoton algebras that have the Laurent phenomenon.
    With Diego Velasco.
    Journal of Algebra 520 (2019), 90–135 (46 pages). DOI: 10.1016/j.jalgebra.2018.11.012.
    arXiv:1704.07921 — 33 pages (v4).
17. Species with potential arising from surfaces with orbifold points of order 2, Part II: arbitrary weights.
    With Jan Geuenich.
    International Mathematics Research Notices 2020, no. 12, 3649–3752 (104 pages). DOI: 10.1093/imrn/rny090.
    arXiv:1611.08301 — 67 pages (v2).
18. Derived invariants for surface cut algebras of global dimension 2 II: the punctured case.
    With Claire Amiot and Pierre-Guy Plamondon.
    Communications in Algebra 49 (2021), no. 1, 114–150 (37 pages). DOI: 10.1080/00927872.2020.1797066.
    arXiv:1606.07364 — 32 pages (v1).
19. Species with potential arising from surfaces with orbifold points of order 2, Part I: one choice of weights.
    With Jan Geuenich.
    Mathematische Zeitschrift 286 (2017), nos. 3–4, 1065–1143 (79 pages). DOI: 10.1007/s00209-016-1795-6.
    arXiv:1507.04304 — 64 pages (v3).
20. Strongly primitive species with potentials: aims and limitations.
    Based on joint work with Andrei Zelevinsky.
    Oberwolfach Reports 10 (2013), no. 4, 3404–3407 (4 pages). DOI: 10.4171/OWR/2013/58.
    European Mathematical Society. Contribution to Report No. 58/2013, “Cluster Algebras and Related Topics”.
    arXiv:2302.13504 — 4 pages (v1).
21. The representation type of Jacobian algebras.
    With Christof Geiss and Jan Schröer.
    Advances in Mathematics 290 (2016), 364–452 (89 pages). DOI: 10.1016/j.aim.2015.09.038.
    arXiv:1308.0478 — 71 pages (v3).
22. Strongly primitive species with potentials I: Mutations.
    With Andrei Zelevinsky.
    Boletín de la Sociedad Matemática Mexicana (Third Series) 22 (2016), no. 1, 47–115 (69 pages). DOI: 10.1007/s40590-015-0063-9.
    arXiv:1306.3495 — 51 pages (v1).
23. On triangulations, quivers with potentials and mutations.
    Contemporary Mathematics 657 (2016), 103–127 (25 pages). DOI: 10.1090/conm/657/13092.
    In “Mexican Mathematicians Abroad: Recent Contributions”, edited by Bárcenas, Galaz-García and Moreno Rocha. American Mathematical Society.
    arXiv:1302.1936 — 23 pages (v2).
24. Caldero-Chapoton algebras.
    With Giovanni Cerulli Irelli and Jan Schröer.
    Transactions of the American Mathematical Society 367 (2015), no. 4, 2787–2822 (36 pages). DOI: 10.1090/S0002-9947-2014-06175-8.
    arXiv:1208.3310 — 35 pages (v2).
25. Quivers with potentials associated to triangulated surfaces, part IV: Removing boundary assumptions.
    Selecta Mathematica (New Series) 22 (2016), no. 1, 145–189 (45 pages). DOI: 10.1007/s00029-015-0188-8.
    arXiv:1206.1798 — 36 pages (v5).
26. Linear independence of cluster monomials for skew-symmetric cluster algebras.
    With Giovanni Cerulli Irelli, Bernhard Keller and Pierre-Guy Plamondon.
    Compositio Mathematica 149 (2013), no. 10, 1753–1764 (12 pages). DOI: 10.1112/S0010437X1300732X.
    arXiv:1203.1307 — 14 pages (v4).
27. Quivers with potentials associated to triangulated surfaces, part III: Tagged triangulations and cluster monomials.
    With Giovanni Cerulli Irelli.
    Compositio Mathematica 148 (2012), no. 6, 1833–1866 (34 pages). DOI: 10.1112/S0010437X12000528.
    arXiv:1108.1774 — 27 pages (v4).
28. Quivers with potentials associated to triangulated surfaces, part II: Arc representations.
    arXiv:0909.4100 — 52 pages (v2).
29. Cones and convex bodies with modular face lattices.
    With Max Neumann-Coto and Martha Takane.
    Proceedings of the American Mathematical Society 140 (2012), 4337–4350 (14 pages). DOI: 10.1090/S0002-9939-2012-11278-X.
    arXiv:0903.0643 — 12 pages (v1).
30. Quivers with potentials associated to triangulated surfaces.
    Proceedings of the London Mathematical Society 98 (2009), no. 3, 797–839 (43 pages). DOI: 10.1112/plms/pdn051.
    arXiv:0803.1328 — 44 pages (v3).
31. Quivers with potentials associated with triangulations of Riemann surfaces.
    Ph.D. thesis. 245 pages. December 2010.
    Department of Mathematics, Northeastern University. Boston, Massachusetts, USA.
    Thesis advisor: Andrei Zelevinsky.