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29 Publications


2026 | Journal Article | LibreCat-ID: 66309
A. Gross, I. Kaur, M. Ulirsch, and A. Werner, “Semi-homogeneous vector bundles on abelian varieties: moduli spaces and their tropicalization,” Moduli, vol. 3, Art. no. e8, 2026, doi: 10.1017/S2949764726100228.
LibreCat | DOI
 

2025 | Preprint | LibreCat-ID: 66304
D. Coles and M. Ulirsch, “Towards the tropicalization of reductive groups,” arXiv:2503.21654. 2025.
LibreCat | arXiv
 

2025 | Preprint | LibreCat-ID: 66303
A. Gross, A. Kuhrs, M. Ulirsch, and D. Zakharov, “Tropical reductive groups and principal bundles on metric graphs,” arXiv:2511.05422. 2025.
LibreCat | arXiv
 

2025 | Journal Article | LibreCat-ID: 66308
F. Röhrle and M. Ulirsch, “Logarithmic concavity of bimatroids,” Annals of Combinatorics, vol. 30, no. 2, pp. 501–523, 2025, doi: 10.1007/s00026-025-00780-z.
LibreCat | DOI
 

2025 | Journal Article | LibreCat-ID: 66315
M. C. E. Hofmann and M. Ulirsch, “An Abel-Jacobi theorem for metrized complexes of Riemann surfaces,” Advances in Geometry, vol. 25, no. 2, pp. 263–278, 2025, doi: 10.1515/advgeom-2025-0010.
LibreCat | DOI
 

2025 | Book Chapter | LibreCat-ID: 66318
A. Küronya, P. Souza, and M. Ulirsch, “Tropicalization of toric prevarieties,” in EMS Series of Congress Reports, EMS Press, 2025.
LibreCat | DOI
 

2024 | Preprint | LibreCat-ID: 66306
J. Giansiracusa, F. Rincón, V. Schleis, and M. Ulirsch, “Log-concavity for independent sets of valuated matroids,” arXiv:2407.05808. 2024.
LibreCat | arXiv
 

2023 | Preprint | LibreCat-ID: 66312
B. Bolognese, A. Küronya, and M. Ulirsch, “$P=W$ phenomena on abelian varieties,” arXiv:2303.03734. 2023.
LibreCat | arXiv
 

2023 | Journal Article | LibreCat-ID: 66325
Y. Len, M. Ulirsch, and D. Zakharov, “Abelian tropical covers,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 176, no. 2, pp. 395–416, 2023, doi: 10.1017/S0305004123000518.
LibreCat | DOI
 

2023 | Journal Article | LibreCat-ID: 66358
L. Battistella, K. Kühn, A. Kuhrs, M. Ulirsch, and A. Vargas, “Buildings, valuated matroids, and tropical linear spaces,” Journal of the London Mathematical Society, vol. 109, no. 1, Art. no. e12850, 2023, doi: 10.1112/jlms.12850.
LibreCat | DOI
 

2022 | Journal Article | LibreCat-ID: 66316
A. Gross, M. Ulirsch, and D. Zakharov, “Principal bundles on metric graphs: the $\mathrm{GL}_n$ case,” Advances in Mathematics, vol. 411, Art. no. 108775, 2022, doi: 10.1016/j.aim.2022.108775.
LibreCat | DOI
 

2022 | Journal Article | LibreCat-ID: 66329
M. Brandt and M. Ulirsch, “Symmetric powers of algebraic and tropical curves: a non-Archimedean perspective,” Transactions of the American Mathematical Society, Series B, vol. 9, no. 20, pp. 586–618, 2022, doi: 10.1090/btran/113.
LibreCat | DOI
 

2022 | Journal Article | LibreCat-ID: 66317
M. Melo, S. Molcho, M. Ulirsch, and F. Viviani, “Tropicalization of the universal Jacobian,” Épijournal de Géométrie Algébrique, vol. Volume 6, Art. no. 8352, 2022, doi: doi.org/10.46298/epiga.2022.8352.
LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 66326
Y. Len and M. Ulirsch, “Skeletons of Prym varieties and Brill--Noether theory,” Algebra & Number Theory, vol. 15, no. 3, pp. 785–820, 2021, doi: 10.2140/ant.2021.15.785.
LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 66361
Y. Len and M. Ulirsch, “Skeletons of Prym varieties and Brill–Noethertheory,” Algebra & Number Theory, vol. 15, no. 3, pp. 785–820, 2021, doi: 10.2140/ant.2021.15.785.
LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 66321
M. Ulirsch, “A non-Archimedean analogue of Teichmüller space and its tropicalization,” Selecta Mathematica, vol. 27, no. 3, p. 39, 2021, doi: 10.1007/s00029-021-00651-4.
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 66333
M. Moeller, M. Ulirsch, and A. Werner, “Realizability of tropical canonical divisors,” Journal of the European Mathematical Society, vol. 23, no. 1, pp. 185–217, 2020, doi: 10.4171/JEMS/1009.
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 66324
M. Brandt and M. Ulirsch, “Divisorial motivic zeta functions for marked stable curves,” Michigan Mathematical Journal, vol. 71, no. 2, 2020, doi: 10.1307/mmj/20195792 .
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 66336
R. Cavalieri, M. Chan, M. Ulirsch, and J. Wise, “A MODULI STACK OF TROPICAL CURVES,” Forum of Mathematics, Sigma, vol. 8, Art. no. e23, 2020, doi: 10.1017/fms.2020.16.
LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 66339
M. Ulirsch, “Non-Archimedean geometry of Artin fans,” Advances in Mathematics, vol. 345, pp. 346–381, 2019, doi: 10.1016/j.aim.2019.01.008.
LibreCat | DOI
 

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