29 Publications
2025 | Preprint | LibreCat-ID: 66304
Towards the tropicalization of reductive groups
D. Coles, M. Ulirsch, ArXiv:2503.21654 (2025).
LibreCat
| arXiv
D. Coles, M. Ulirsch, ArXiv:2503.21654 (2025).
2025 | Preprint | LibreCat-ID: 66303
Tropical reductive groups and principal bundles on metric graphs
A. Gross, A. Kuhrs, M. Ulirsch, D. Zakharov, ArXiv:2511.05422 (2025).
LibreCat
| arXiv
A. Gross, A. Kuhrs, M. Ulirsch, D. Zakharov, ArXiv:2511.05422 (2025).
2024 | Preprint | LibreCat-ID: 66306
Log-concavity for independent sets of valuated matroids
J. Giansiracusa, F. Rincón, V. Schleis, M. Ulirsch, ArXiv:2407.05808 (2024).
LibreCat
| arXiv
J. Giansiracusa, F. Rincón, V. Schleis, M. Ulirsch, ArXiv:2407.05808 (2024).
2024 | Preprint | LibreCat-ID: 66308
Logarithmic concavity of bimatroids
F. Röhrle, M. Ulirsch, ArXiv:2402.15317 (2024).
LibreCat
| arXiv
F. Röhrle, M. Ulirsch, ArXiv:2402.15317 (2024).
2024 | Preprint | LibreCat-ID: 66315
An Abel-Jacobi theorem for metrized complexes of Riemann surfaces
M.C.E. Hofmann, M. Ulirsch, ArXiv:2408.03851 (2024).
LibreCat
| arXiv
M.C.E. Hofmann, M. Ulirsch, ArXiv:2408.03851 (2024).
2023 | Preprint | LibreCat-ID: 66312
$P=W$ phenomena on abelian varieties
B. Bolognese, A. Küronya, M. Ulirsch, ArXiv:2303.03734 (2023).
LibreCat
| arXiv
B. Bolognese, A. Küronya, M. Ulirsch, ArXiv:2303.03734 (2023).
2023 | Journal Article | LibreCat-ID: 66358
Buildings, valuated matroids, and tropical linear spaces
L. Battistella, K. Kühn, A. Kuhrs, M. Ulirsch, A. Vargas, Journal of the London Mathematical Society 109 (2023).
LibreCat
| DOI
L. Battistella, K. Kühn, A. Kuhrs, M. Ulirsch, A. Vargas, Journal of the London Mathematical Society 109 (2023).
2023 | Journal Article | LibreCat-ID: 66309
Semi-homogeneous vector bundles on abelian varieties: moduli spaces and their tropicalization
A. Gross, I. Kaur, M. Ulirsch, A. Werner, ArXiv:2312.12980 (2023).
LibreCat
| DOI
| arXiv
A. Gross, I. Kaur, M. Ulirsch, A. Werner, ArXiv:2312.12980 (2023).
2022 | Journal Article | LibreCat-ID: 66316
Principal bundles on metric graphs: the $\mathrm{GL}_n$ case
A. Gross, M. Ulirsch, D. Zakharov, ArXiv:2206.10219 (2022).
LibreCat
| DOI
| arXiv
A. Gross, M. Ulirsch, D. Zakharov, ArXiv:2206.10219 (2022).
2021 | Preprint | LibreCat-ID: 66318
Tropicalization of toric prevarieties
A. Küronya, P. Souza, M. Ulirsch, ArXiv:2107.03139 (2021).
LibreCat
| arXiv
A. Küronya, P. Souza, M. Ulirsch, ArXiv:2107.03139 (2021).
2021 | Journal Article | LibreCat-ID: 66317
Tropicalization of the universal Jacobian
M. Melo, S. Molcho, M. Ulirsch, F. Viviani, ArXiv:2108.04711 (2021).
LibreCat
| DOI
| arXiv
M. Melo, S. Molcho, M. Ulirsch, F. Viviani, ArXiv:2108.04711 (2021).
2021 | Journal Article | LibreCat-ID: 66361
Skeletons of Prym varieties and Brill–Noethertheory
Y. Len, M. Ulirsch, Algebra & Number Theory 15 (2021) 785–820.
LibreCat
| DOI
Y. Len, M. Ulirsch, Algebra & Number Theory 15 (2021) 785–820.
2020 | Preprint | LibreCat-ID: 66321
A non-Archimedean analogue of Teichmüller space and its tropicalization
M. Ulirsch, ArXiv:2004.07508 (2020).
LibreCat
| arXiv
M. Ulirsch, ArXiv:2004.07508 (2020).
2019 | Journal Article | LibreCat-ID: 66326
Skeletons of Prym varieties and Brill--Noether theory
Y. Len, M. Ulirsch, ArXiv:1902.09410 (2019).
LibreCat
| arXiv
Y. Len, M. Ulirsch, ArXiv:1902.09410 (2019).
2019 | Preprint | LibreCat-ID: 66322
Tropical double ramification loci
M. Ulirsch, D. Zakharov, ArXiv:1910.01499 (2019).
LibreCat
| arXiv
M. Ulirsch, D. Zakharov, ArXiv:1910.01499 (2019).
2019 | Preprint | LibreCat-ID: 66324
Divisorial motivic zeta functions for marked stable curves
M. Brandt, M. Ulirsch, ArXiv:1907.05125 (2019).
LibreCat
| arXiv
M. Brandt, M. Ulirsch, ArXiv:1907.05125 (2019).
2019 | Journal Article | LibreCat-ID: 66325
Abelian tropical covers
Y. Len, M. Ulirsch, D. Zakharov, ArXiv:1906.04215 (2019).
LibreCat
| DOI
| arXiv
Y. Len, M. Ulirsch, D. Zakharov, ArXiv:1906.04215 (2019).
2018 | Journal Article | LibreCat-ID: 66329
Symmetric powers of algebraic and tropical curves: a non-Archimedean perspective
M. Brandt, M. Ulirsch, ArXiv:1812.08740 (2018).
LibreCat
| DOI
| arXiv
M. Brandt, M. Ulirsch, ArXiv:1812.08740 (2018).
2017 | Journal Article | LibreCat-ID: 66354
Functorial tropicalization of logarithmic schemes: the case of constant coefficients
M. Ulirsch, Proceedings of the London Mathematical Society 114 (2017) 1081–1113.
LibreCat
| DOI
M. Ulirsch, Proceedings of the London Mathematical Society 114 (2017) 1081–1113.
2017 | Journal Article | LibreCat-ID: 66333
Realizability of tropical canonical divisors
M. Moeller, M. Ulirsch, A. Werner, ArXiv:1710.06401 (2017).
LibreCat
| DOI
| arXiv
M. Moeller, M. Ulirsch, A. Werner, ArXiv:1710.06401 (2017).
2017 | Preprint | LibreCat-ID: 66334
Clutching and gluing in tropical and logarithmic geometry
A. Huszar, S. Marcus, M. Ulirsch, ArXiv:1706.07554 (2017).
LibreCat
| arXiv
A. Huszar, S. Marcus, M. Ulirsch, ArXiv:1706.07554 (2017).
2017 | Journal Article | LibreCat-ID: 66336
A moduli stack of tropical curves
R. Cavalieri, M. Chan, M. Ulirsch, J. Wise, ArXiv:1704.03806 (2017).
LibreCat
| DOI
| arXiv
R. Cavalieri, M. Chan, M. Ulirsch, J. Wise, ArXiv:1704.03806 (2017).
2017 | Journal Article | LibreCat-ID: 66337
Towards a tropical Hodge bundle
B. Lin, M. Ulirsch, ArXiv:1701.04385 (2017).
LibreCat
| DOI
| arXiv
B. Lin, M. Ulirsch, ArXiv:1701.04385 (2017).
2016 | Journal Article | LibreCat-ID: 66338
Logarithmic Picard groups, chip firing, and the combinatorial rank
T. Foster, D. Ranganathan, M. Talpo, M. Ulirsch, ArXiv:1611.10233 (2016).
LibreCat
| arXiv
T. Foster, D. Ranganathan, M. Talpo, M. Ulirsch, ArXiv:1611.10233 (2016).
2016 | Journal Article | LibreCat-ID: 66339
Non-Archimedean geometry of Artin fans
M. Ulirsch, ArXiv:1603.07589 (2016).
LibreCat
| DOI
| arXiv
M. Ulirsch, ArXiv:1603.07589 (2016).
2015 | Journal Article | LibreCat-ID: 66362
Faithful Realizability of Tropical Curves
M.-W. Cheung, L. Fantini, J. Park, M. Ulirsch, International Mathematics Research Notices 2016 (2015) 4706–4727.
LibreCat
| DOI
M.-W. Cheung, L. Fantini, J. Park, M. Ulirsch, International Mathematics Research Notices 2016 (2015) 4706–4727.
2015 | Preprint | LibreCat-ID: 66349
Skeletons and fans of logarithmic structures
D. Abramovich, Q. Chen, S. Marcus, M. Ulirsch, J. Wise, ArXiv:1503.04343 (2015).
LibreCat
| arXiv
D. Abramovich, Q. Chen, S. Marcus, M. Ulirsch, J. Wise, ArXiv:1503.04343 (2015).
2014 | Journal Article | LibreCat-ID: 66352
Tropical geometry of moduli spaces of weighted stable curves
M. Ulirsch, ArXiv:1405.6940 (2014).
LibreCat
| DOI
| arXiv
M. Ulirsch, ArXiv:1405.6940 (2014).
2013 | Journal Article | LibreCat-ID: 66355
Tropical compactification in log-regular varieties
M. Ulirsch, ArXiv:1309.4011 (2013).
LibreCat
| DOI
| arXiv
M. Ulirsch, ArXiv:1309.4011 (2013).
29 Publications
2025 | Preprint | LibreCat-ID: 66304
Towards the tropicalization of reductive groups
D. Coles, M. Ulirsch, ArXiv:2503.21654 (2025).
LibreCat
| arXiv
D. Coles, M. Ulirsch, ArXiv:2503.21654 (2025).
2025 | Preprint | LibreCat-ID: 66303
Tropical reductive groups and principal bundles on metric graphs
A. Gross, A. Kuhrs, M. Ulirsch, D. Zakharov, ArXiv:2511.05422 (2025).
LibreCat
| arXiv
A. Gross, A. Kuhrs, M. Ulirsch, D. Zakharov, ArXiv:2511.05422 (2025).
2024 | Preprint | LibreCat-ID: 66306
Log-concavity for independent sets of valuated matroids
J. Giansiracusa, F. Rincón, V. Schleis, M. Ulirsch, ArXiv:2407.05808 (2024).
LibreCat
| arXiv
J. Giansiracusa, F. Rincón, V. Schleis, M. Ulirsch, ArXiv:2407.05808 (2024).
2024 | Preprint | LibreCat-ID: 66308
Logarithmic concavity of bimatroids
F. Röhrle, M. Ulirsch, ArXiv:2402.15317 (2024).
LibreCat
| arXiv
F. Röhrle, M. Ulirsch, ArXiv:2402.15317 (2024).
2024 | Preprint | LibreCat-ID: 66315
An Abel-Jacobi theorem for metrized complexes of Riemann surfaces
M.C.E. Hofmann, M. Ulirsch, ArXiv:2408.03851 (2024).
LibreCat
| arXiv
M.C.E. Hofmann, M. Ulirsch, ArXiv:2408.03851 (2024).
2023 | Preprint | LibreCat-ID: 66312
$P=W$ phenomena on abelian varieties
B. Bolognese, A. Küronya, M. Ulirsch, ArXiv:2303.03734 (2023).
LibreCat
| arXiv
B. Bolognese, A. Küronya, M. Ulirsch, ArXiv:2303.03734 (2023).
2023 | Journal Article | LibreCat-ID: 66358
Buildings, valuated matroids, and tropical linear spaces
L. Battistella, K. Kühn, A. Kuhrs, M. Ulirsch, A. Vargas, Journal of the London Mathematical Society 109 (2023).
LibreCat
| DOI
L. Battistella, K. Kühn, A. Kuhrs, M. Ulirsch, A. Vargas, Journal of the London Mathematical Society 109 (2023).
2023 | Journal Article | LibreCat-ID: 66309
Semi-homogeneous vector bundles on abelian varieties: moduli spaces and their tropicalization
A. Gross, I. Kaur, M. Ulirsch, A. Werner, ArXiv:2312.12980 (2023).
LibreCat
| DOI
| arXiv
A. Gross, I. Kaur, M. Ulirsch, A. Werner, ArXiv:2312.12980 (2023).
2022 | Journal Article | LibreCat-ID: 66316
Principal bundles on metric graphs: the $\mathrm{GL}_n$ case
A. Gross, M. Ulirsch, D. Zakharov, ArXiv:2206.10219 (2022).
LibreCat
| DOI
| arXiv
A. Gross, M. Ulirsch, D. Zakharov, ArXiv:2206.10219 (2022).
2021 | Preprint | LibreCat-ID: 66318
Tropicalization of toric prevarieties
A. Küronya, P. Souza, M. Ulirsch, ArXiv:2107.03139 (2021).
LibreCat
| arXiv
A. Küronya, P. Souza, M. Ulirsch, ArXiv:2107.03139 (2021).
2021 | Journal Article | LibreCat-ID: 66317
Tropicalization of the universal Jacobian
M. Melo, S. Molcho, M. Ulirsch, F. Viviani, ArXiv:2108.04711 (2021).
LibreCat
| DOI
| arXiv
M. Melo, S. Molcho, M. Ulirsch, F. Viviani, ArXiv:2108.04711 (2021).
2021 | Journal Article | LibreCat-ID: 66361
Skeletons of Prym varieties and Brill–Noethertheory
Y. Len, M. Ulirsch, Algebra & Number Theory 15 (2021) 785–820.
LibreCat
| DOI
Y. Len, M. Ulirsch, Algebra & Number Theory 15 (2021) 785–820.
2020 | Preprint | LibreCat-ID: 66321
A non-Archimedean analogue of Teichmüller space and its tropicalization
M. Ulirsch, ArXiv:2004.07508 (2020).
LibreCat
| arXiv
M. Ulirsch, ArXiv:2004.07508 (2020).
2019 | Journal Article | LibreCat-ID: 66326
Skeletons of Prym varieties and Brill--Noether theory
Y. Len, M. Ulirsch, ArXiv:1902.09410 (2019).
LibreCat
| arXiv
Y. Len, M. Ulirsch, ArXiv:1902.09410 (2019).
2019 | Preprint | LibreCat-ID: 66322
Tropical double ramification loci
M. Ulirsch, D. Zakharov, ArXiv:1910.01499 (2019).
LibreCat
| arXiv
M. Ulirsch, D. Zakharov, ArXiv:1910.01499 (2019).
2019 | Preprint | LibreCat-ID: 66324
Divisorial motivic zeta functions for marked stable curves
M. Brandt, M. Ulirsch, ArXiv:1907.05125 (2019).
LibreCat
| arXiv
M. Brandt, M. Ulirsch, ArXiv:1907.05125 (2019).
2019 | Journal Article | LibreCat-ID: 66325
Abelian tropical covers
Y. Len, M. Ulirsch, D. Zakharov, ArXiv:1906.04215 (2019).
LibreCat
| DOI
| arXiv
Y. Len, M. Ulirsch, D. Zakharov, ArXiv:1906.04215 (2019).
2018 | Journal Article | LibreCat-ID: 66329
Symmetric powers of algebraic and tropical curves: a non-Archimedean perspective
M. Brandt, M. Ulirsch, ArXiv:1812.08740 (2018).
LibreCat
| DOI
| arXiv
M. Brandt, M. Ulirsch, ArXiv:1812.08740 (2018).
2017 | Journal Article | LibreCat-ID: 66354
Functorial tropicalization of logarithmic schemes: the case of constant coefficients
M. Ulirsch, Proceedings of the London Mathematical Society 114 (2017) 1081–1113.
LibreCat
| DOI
M. Ulirsch, Proceedings of the London Mathematical Society 114 (2017) 1081–1113.
2017 | Journal Article | LibreCat-ID: 66333
Realizability of tropical canonical divisors
M. Moeller, M. Ulirsch, A. Werner, ArXiv:1710.06401 (2017).
LibreCat
| DOI
| arXiv
M. Moeller, M. Ulirsch, A. Werner, ArXiv:1710.06401 (2017).
2017 | Preprint | LibreCat-ID: 66334
Clutching and gluing in tropical and logarithmic geometry
A. Huszar, S. Marcus, M. Ulirsch, ArXiv:1706.07554 (2017).
LibreCat
| arXiv
A. Huszar, S. Marcus, M. Ulirsch, ArXiv:1706.07554 (2017).
2017 | Journal Article | LibreCat-ID: 66336
A moduli stack of tropical curves
R. Cavalieri, M. Chan, M. Ulirsch, J. Wise, ArXiv:1704.03806 (2017).
LibreCat
| DOI
| arXiv
R. Cavalieri, M. Chan, M. Ulirsch, J. Wise, ArXiv:1704.03806 (2017).
2017 | Journal Article | LibreCat-ID: 66337
Towards a tropical Hodge bundle
B. Lin, M. Ulirsch, ArXiv:1701.04385 (2017).
LibreCat
| DOI
| arXiv
B. Lin, M. Ulirsch, ArXiv:1701.04385 (2017).
2016 | Journal Article | LibreCat-ID: 66338
Logarithmic Picard groups, chip firing, and the combinatorial rank
T. Foster, D. Ranganathan, M. Talpo, M. Ulirsch, ArXiv:1611.10233 (2016).
LibreCat
| arXiv
T. Foster, D. Ranganathan, M. Talpo, M. Ulirsch, ArXiv:1611.10233 (2016).
2016 | Journal Article | LibreCat-ID: 66339
Non-Archimedean geometry of Artin fans
M. Ulirsch, ArXiv:1603.07589 (2016).
LibreCat
| DOI
| arXiv
M. Ulirsch, ArXiv:1603.07589 (2016).
2015 | Journal Article | LibreCat-ID: 66362
Faithful Realizability of Tropical Curves
M.-W. Cheung, L. Fantini, J. Park, M. Ulirsch, International Mathematics Research Notices 2016 (2015) 4706–4727.
LibreCat
| DOI
M.-W. Cheung, L. Fantini, J. Park, M. Ulirsch, International Mathematics Research Notices 2016 (2015) 4706–4727.
2015 | Preprint | LibreCat-ID: 66349
Skeletons and fans of logarithmic structures
D. Abramovich, Q. Chen, S. Marcus, M. Ulirsch, J. Wise, ArXiv:1503.04343 (2015).
LibreCat
| arXiv
D. Abramovich, Q. Chen, S. Marcus, M. Ulirsch, J. Wise, ArXiv:1503.04343 (2015).
2014 | Journal Article | LibreCat-ID: 66352
Tropical geometry of moduli spaces of weighted stable curves
M. Ulirsch, ArXiv:1405.6940 (2014).
LibreCat
| DOI
| arXiv
M. Ulirsch, ArXiv:1405.6940 (2014).
2013 | Journal Article | LibreCat-ID: 66355
Tropical compactification in log-regular varieties
M. Ulirsch, ArXiv:1309.4011 (2013).
LibreCat
| DOI
| arXiv
M. Ulirsch, ArXiv:1309.4011 (2013).