29 Publications

Mark all

[29]
2026 | Journal Article | LibreCat-ID: 66309
Gross, Andreas, Inder Kaur, Martin Ulirsch, and Annette Werner. “Semi-Homogeneous Vector Bundles on Abelian Varieties: Moduli Spaces and Their Tropicalization.” Moduli 3 (2026). https://doi.org/10.1017/S2949764726100228.
LibreCat | DOI
 
[28]
2025 | Preprint | LibreCat-ID: 66304
Coles, Desmond, and Martin Ulirsch. “Towards the Tropicalization of Reductive Groups.” ArXiv:2503.21654, 2025.
LibreCat | arXiv
 
[27]
2025 | Preprint | LibreCat-ID: 66303
Gross, Andreas, Arne Kuhrs, Martin Ulirsch, and Dmitry Zakharov. “Tropical Reductive Groups and Principal Bundles on Metric Graphs.” ArXiv:2511.05422, 2025.
LibreCat | arXiv
 
[26]
2025 | Journal Article | LibreCat-ID: 66308
Röhrle, Felix, and Martin Ulirsch. “Logarithmic Concavity of Bimatroids.” Annals of Combinatorics 30, no. 2 (2025): 501–23. https://doi.org/10.1007/s00026-025-00780-z.
LibreCat | DOI
 
[25]
2025 | Journal Article | LibreCat-ID: 66315
Hofmann, Maximilian C. E., and Martin Ulirsch. “An Abel-Jacobi Theorem for Metrized Complexes of Riemann Surfaces.” Advances in Geometry 25, no. 2 (2025): 263–78. https://doi.org/10.1515/advgeom-2025-0010.
LibreCat | DOI
 
[24]
2025 | Book Chapter | LibreCat-ID: 66318
Küronya, Alex, Pedro Souza, and Martin Ulirsch. “Tropicalization of Toric Prevarieties.” In EMS Series of Congress Reports. EMS Press, 2025. https://doi.org/10.4171/ECR/22/16.
LibreCat | DOI
 
[23]
2024 | Preprint | LibreCat-ID: 66306
Giansiracusa, Jeffrey, Felipe Rincón, Victoria Schleis, and Martin Ulirsch. “Log-Concavity for Independent Sets of Valuated Matroids.” ArXiv:2407.05808, 2024.
LibreCat | arXiv
 
[22]
2023 | Preprint | LibreCat-ID: 66312
Bolognese, Barbara, Alex Küronya, and Martin Ulirsch. “$P=W$ Phenomena on Abelian Varieties.” ArXiv:2303.03734, 2023.
LibreCat | arXiv
 
[21]
2023 | Journal Article | LibreCat-ID: 66325
Len, Yoav, Martin Ulirsch, and Dmitry Zakharov. “Abelian Tropical Covers.” Mathematical Proceedings of the Cambridge Philosophical Society 176, no. 2 (2023): 395–416. https://doi.org/10.1017/S0305004123000518.
LibreCat | DOI
 
[20]
2023 | Journal Article | LibreCat-ID: 66358
Battistella, Luca, Kevin Kühn, Arne Kuhrs, Martin Ulirsch, and Alejandro Vargas. “Buildings, Valuated Matroids, and Tropical Linear Spaces.” Journal of the London Mathematical Society 109, no. 1 (2023). https://doi.org/10.1112/jlms.12850.
LibreCat | DOI
 
[19]
2022 | Journal Article | LibreCat-ID: 66316
Gross, Andreas, Martin Ulirsch, and Dmitry Zakharov. “Principal Bundles on Metric Graphs: The $\mathrm{GL}_n$ Case.” Advances in Mathematics 411 (2022). https://doi.org/10.1016/j.aim.2022.108775.
LibreCat | DOI
 
[18]
2022 | Journal Article | LibreCat-ID: 66329
Brandt, Madeline, and Martin Ulirsch. “Symmetric Powers of Algebraic and Tropical Curves: A Non-Archimedean Perspective.” Transactions of the American Mathematical Society, Series B 9, no. 20 (2022): 586–618. https://doi.org/10.1090/btran/113.
LibreCat | DOI
 
[17]
2022 | Journal Article | LibreCat-ID: 66317
Melo, Margarida, Samouil Molcho, Martin Ulirsch, and Filippo Viviani. “Tropicalization of the Universal Jacobian.” Épijournal de Géométrie Algébrique Volume 6 (2022). https://doi.org/doi.org/10.46298/epiga.2022.8352.
LibreCat | DOI
 
[16]
2021 | Journal Article | LibreCat-ID: 66326
Len, Yoav, and Martin Ulirsch. “Skeletons of Prym Varieties and Brill--Noether Theory.” Algebra & Number Theory 15, no. 3 (2021): 785–820. https://doi.org/10.2140/ant.2021.15.785.
LibreCat | DOI
 
[15]
2021 | Journal Article | LibreCat-ID: 66361
Len, Yoav, and Martin Ulirsch. “Skeletons of Prym Varieties and Brill–Noethertheory.” Algebra & Number Theory 15, no. 3 (2021): 785–820. https://doi.org/10.2140/ant.2021.15.785.
LibreCat | DOI
 
[14]
2021 | Journal Article | LibreCat-ID: 66321
Ulirsch, Martin. “A Non-Archimedean Analogue of Teichmüller Space and Its Tropicalization.” Selecta Mathematica 27, no. 3 (2021): 39. https://doi.org/10.1007/s00029-021-00651-4.
LibreCat | DOI
 
[13]
2020 | Journal Article | LibreCat-ID: 66333
Moeller, Martin, Martin Ulirsch, and Annette Werner. “Realizability of Tropical Canonical Divisors.” Journal of the European Mathematical Society 23, no. 1 (2020): 185–217. https://doi.org/10.4171/JEMS/1009.
LibreCat | DOI
 
[12]
2020 | Journal Article | LibreCat-ID: 66324
Brandt, Madeline, and Martin Ulirsch. “Divisorial Motivic Zeta Functions for Marked Stable Curves.” Michigan Mathematical Journal 71, no. 2 (2020). https://doi.org/10.1307/mmj/20195792 .
LibreCat | DOI
 
[11]
2020 | Journal Article | LibreCat-ID: 66336
Cavalieri, Renzo, Melody Chan, Martin Ulirsch, and Jonathan Wise. “A MODULI STACK OF TROPICAL CURVES.” Forum of Mathematics, Sigma 8 (2020). https://doi.org/10.1017/fms.2020.16.
LibreCat | DOI
 
[10]
2019 | Journal Article | LibreCat-ID: 66339
Ulirsch, Martin. “Non-Archimedean Geometry of Artin Fans.” Advances in Mathematics 345 (2019): 346–81. https://doi.org/10.1016/j.aim.2019.01.008.
LibreCat | DOI
 
[9]
2019 | Preprint | LibreCat-ID: 66322
Ulirsch, Martin, and Dmitry Zakharov. “Tropical Double Ramification Loci.” ArXiv:1910.01499, 2019.
LibreCat | arXiv
 
[8]
2018 | Journal Article | LibreCat-ID: 66338
Foster, Tyler, Dhruv Ranganathan, Mattia Talpo, and Martin Ulirsch. “Logarithmic Picard Groups, Chip Firing, and the Combinatorial Rank.” Mathematische Zeitschrift 291, no. 1–2 (2018): 313–27. https://doi.org/10.1007/s00209-018-2085-2.
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 66334
Huszar, Alana, Steffen Marcus, and Martin Ulirsch. “Clutching and Gluing in Tropical and Logarithmic Geometry.” Journal of Pure and Applied Algebra 223, no. 5 (2018): 2036–61. https://doi.org/10.1016/j.jpaa.2018.08.014.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 66354
Ulirsch, Martin. “Functorial Tropicalization of Logarithmic Schemes: The Case of Constant Coefficients.” Proceedings of the London Mathematical Society 114, no. 6 (2017): 1081–1113. https://doi.org/10.1112/plms.12031.
LibreCat | DOI
 
[5]
2017 | Book Chapter | LibreCat-ID: 66337
Lin, Bo, and Martin Ulirsch. “Towards a Tropical Hodge Bundle.” In Fields Institute Communications. New York, NY: Springer New York, 2017. https://doi.org/10.1007/978-1-4939-7486-3_16.
LibreCat | DOI
 
[4]
2016 | Book Chapter | LibreCat-ID: 66349
Abramovich, Dan, Qile Chen, Steffen Marcus, Martin Ulirsch, and Jonathan Wise. “Skeletons and Fans of Logarithmic Structures.” In Simons Symposia. Cham: Springer International Publishing, 2016. https://doi.org/10.1007/978-3-319-30945-3_9.
LibreCat | DOI
 
[3]
2015 | Journal Article | LibreCat-ID: 66362
Cheung, Man-Wai, Lorenzo Fantini, Jennifer Park, and Martin Ulirsch. “Faithful Realizability of Tropical Curves.” International Mathematics Research Notices 2016, no. 15 (2015): 4706–27. https://doi.org/10.1093/imrn/rnv269.
LibreCat | DOI
 
[2]
2015 | Journal Article | LibreCat-ID: 66355
Ulirsch, Martin. “Tropical Compactification in Log-Regular Varieties.” Mathematische Zeitschrift 280, no. 1–2 (2015): 195–210. https://doi.org/10.1007/s00209-015-1418-7.
LibreCat | DOI
 
[1]
2015 | Journal Article | LibreCat-ID: 66352
Ulirsch, Martin. “Tropical Geometry of Moduli Spaces of Weighted Stable Curves.” Journal of the London Mathematical Society 92, no. 2 (2015): 427–50. https://doi.org/10.1112/jlms/jdv032.
LibreCat | DOI
 

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29 Publications

Mark all

[29]
2026 | Journal Article | LibreCat-ID: 66309
Gross, Andreas, Inder Kaur, Martin Ulirsch, and Annette Werner. “Semi-Homogeneous Vector Bundles on Abelian Varieties: Moduli Spaces and Their Tropicalization.” Moduli 3 (2026). https://doi.org/10.1017/S2949764726100228.
LibreCat | DOI
 
[28]
2025 | Preprint | LibreCat-ID: 66304
Coles, Desmond, and Martin Ulirsch. “Towards the Tropicalization of Reductive Groups.” ArXiv:2503.21654, 2025.
LibreCat | arXiv
 
[27]
2025 | Preprint | LibreCat-ID: 66303
Gross, Andreas, Arne Kuhrs, Martin Ulirsch, and Dmitry Zakharov. “Tropical Reductive Groups and Principal Bundles on Metric Graphs.” ArXiv:2511.05422, 2025.
LibreCat | arXiv
 
[26]
2025 | Journal Article | LibreCat-ID: 66308
Röhrle, Felix, and Martin Ulirsch. “Logarithmic Concavity of Bimatroids.” Annals of Combinatorics 30, no. 2 (2025): 501–23. https://doi.org/10.1007/s00026-025-00780-z.
LibreCat | DOI
 
[25]
2025 | Journal Article | LibreCat-ID: 66315
Hofmann, Maximilian C. E., and Martin Ulirsch. “An Abel-Jacobi Theorem for Metrized Complexes of Riemann Surfaces.” Advances in Geometry 25, no. 2 (2025): 263–78. https://doi.org/10.1515/advgeom-2025-0010.
LibreCat | DOI
 
[24]
2025 | Book Chapter | LibreCat-ID: 66318
Küronya, Alex, Pedro Souza, and Martin Ulirsch. “Tropicalization of Toric Prevarieties.” In EMS Series of Congress Reports. EMS Press, 2025. https://doi.org/10.4171/ECR/22/16.
LibreCat | DOI
 
[23]
2024 | Preprint | LibreCat-ID: 66306
Giansiracusa, Jeffrey, Felipe Rincón, Victoria Schleis, and Martin Ulirsch. “Log-Concavity for Independent Sets of Valuated Matroids.” ArXiv:2407.05808, 2024.
LibreCat | arXiv
 
[22]
2023 | Preprint | LibreCat-ID: 66312
Bolognese, Barbara, Alex Küronya, and Martin Ulirsch. “$P=W$ Phenomena on Abelian Varieties.” ArXiv:2303.03734, 2023.
LibreCat | arXiv
 
[21]
2023 | Journal Article | LibreCat-ID: 66325
Len, Yoav, Martin Ulirsch, and Dmitry Zakharov. “Abelian Tropical Covers.” Mathematical Proceedings of the Cambridge Philosophical Society 176, no. 2 (2023): 395–416. https://doi.org/10.1017/S0305004123000518.
LibreCat | DOI
 
[20]
2023 | Journal Article | LibreCat-ID: 66358
Battistella, Luca, Kevin Kühn, Arne Kuhrs, Martin Ulirsch, and Alejandro Vargas. “Buildings, Valuated Matroids, and Tropical Linear Spaces.” Journal of the London Mathematical Society 109, no. 1 (2023). https://doi.org/10.1112/jlms.12850.
LibreCat | DOI
 
[19]
2022 | Journal Article | LibreCat-ID: 66316
Gross, Andreas, Martin Ulirsch, and Dmitry Zakharov. “Principal Bundles on Metric Graphs: The $\mathrm{GL}_n$ Case.” Advances in Mathematics 411 (2022). https://doi.org/10.1016/j.aim.2022.108775.
LibreCat | DOI
 
[18]
2022 | Journal Article | LibreCat-ID: 66329
Brandt, Madeline, and Martin Ulirsch. “Symmetric Powers of Algebraic and Tropical Curves: A Non-Archimedean Perspective.” Transactions of the American Mathematical Society, Series B 9, no. 20 (2022): 586–618. https://doi.org/10.1090/btran/113.
LibreCat | DOI
 
[17]
2022 | Journal Article | LibreCat-ID: 66317
Melo, Margarida, Samouil Molcho, Martin Ulirsch, and Filippo Viviani. “Tropicalization of the Universal Jacobian.” Épijournal de Géométrie Algébrique Volume 6 (2022). https://doi.org/doi.org/10.46298/epiga.2022.8352.
LibreCat | DOI
 
[16]
2021 | Journal Article | LibreCat-ID: 66326
Len, Yoav, and Martin Ulirsch. “Skeletons of Prym Varieties and Brill--Noether Theory.” Algebra & Number Theory 15, no. 3 (2021): 785–820. https://doi.org/10.2140/ant.2021.15.785.
LibreCat | DOI
 
[15]
2021 | Journal Article | LibreCat-ID: 66361
Len, Yoav, and Martin Ulirsch. “Skeletons of Prym Varieties and Brill–Noethertheory.” Algebra & Number Theory 15, no. 3 (2021): 785–820. https://doi.org/10.2140/ant.2021.15.785.
LibreCat | DOI
 
[14]
2021 | Journal Article | LibreCat-ID: 66321
Ulirsch, Martin. “A Non-Archimedean Analogue of Teichmüller Space and Its Tropicalization.” Selecta Mathematica 27, no. 3 (2021): 39. https://doi.org/10.1007/s00029-021-00651-4.
LibreCat | DOI
 
[13]
2020 | Journal Article | LibreCat-ID: 66333
Moeller, Martin, Martin Ulirsch, and Annette Werner. “Realizability of Tropical Canonical Divisors.” Journal of the European Mathematical Society 23, no. 1 (2020): 185–217. https://doi.org/10.4171/JEMS/1009.
LibreCat | DOI
 
[12]
2020 | Journal Article | LibreCat-ID: 66324
Brandt, Madeline, and Martin Ulirsch. “Divisorial Motivic Zeta Functions for Marked Stable Curves.” Michigan Mathematical Journal 71, no. 2 (2020). https://doi.org/10.1307/mmj/20195792 .
LibreCat | DOI
 
[11]
2020 | Journal Article | LibreCat-ID: 66336
Cavalieri, Renzo, Melody Chan, Martin Ulirsch, and Jonathan Wise. “A MODULI STACK OF TROPICAL CURVES.” Forum of Mathematics, Sigma 8 (2020). https://doi.org/10.1017/fms.2020.16.
LibreCat | DOI
 
[10]
2019 | Journal Article | LibreCat-ID: 66339
Ulirsch, Martin. “Non-Archimedean Geometry of Artin Fans.” Advances in Mathematics 345 (2019): 346–81. https://doi.org/10.1016/j.aim.2019.01.008.
LibreCat | DOI
 
[9]
2019 | Preprint | LibreCat-ID: 66322
Ulirsch, Martin, and Dmitry Zakharov. “Tropical Double Ramification Loci.” ArXiv:1910.01499, 2019.
LibreCat | arXiv
 
[8]
2018 | Journal Article | LibreCat-ID: 66338
Foster, Tyler, Dhruv Ranganathan, Mattia Talpo, and Martin Ulirsch. “Logarithmic Picard Groups, Chip Firing, and the Combinatorial Rank.” Mathematische Zeitschrift 291, no. 1–2 (2018): 313–27. https://doi.org/10.1007/s00209-018-2085-2.
LibreCat | DOI
 
[7]
2018 | Journal Article | LibreCat-ID: 66334
Huszar, Alana, Steffen Marcus, and Martin Ulirsch. “Clutching and Gluing in Tropical and Logarithmic Geometry.” Journal of Pure and Applied Algebra 223, no. 5 (2018): 2036–61. https://doi.org/10.1016/j.jpaa.2018.08.014.
LibreCat | DOI
 
[6]
2017 | Journal Article | LibreCat-ID: 66354
Ulirsch, Martin. “Functorial Tropicalization of Logarithmic Schemes: The Case of Constant Coefficients.” Proceedings of the London Mathematical Society 114, no. 6 (2017): 1081–1113. https://doi.org/10.1112/plms.12031.
LibreCat | DOI
 
[5]
2017 | Book Chapter | LibreCat-ID: 66337
Lin, Bo, and Martin Ulirsch. “Towards a Tropical Hodge Bundle.” In Fields Institute Communications. New York, NY: Springer New York, 2017. https://doi.org/10.1007/978-1-4939-7486-3_16.
LibreCat | DOI
 
[4]
2016 | Book Chapter | LibreCat-ID: 66349
Abramovich, Dan, Qile Chen, Steffen Marcus, Martin Ulirsch, and Jonathan Wise. “Skeletons and Fans of Logarithmic Structures.” In Simons Symposia. Cham: Springer International Publishing, 2016. https://doi.org/10.1007/978-3-319-30945-3_9.
LibreCat | DOI
 
[3]
2015 | Journal Article | LibreCat-ID: 66362
Cheung, Man-Wai, Lorenzo Fantini, Jennifer Park, and Martin Ulirsch. “Faithful Realizability of Tropical Curves.” International Mathematics Research Notices 2016, no. 15 (2015): 4706–27. https://doi.org/10.1093/imrn/rnv269.
LibreCat | DOI
 
[2]
2015 | Journal Article | LibreCat-ID: 66355
Ulirsch, Martin. “Tropical Compactification in Log-Regular Varieties.” Mathematische Zeitschrift 280, no. 1–2 (2015): 195–210. https://doi.org/10.1007/s00209-015-1418-7.
LibreCat | DOI
 
[1]
2015 | Journal Article | LibreCat-ID: 66352
Ulirsch, Martin. “Tropical Geometry of Moduli Spaces of Weighted Stable Curves.” Journal of the London Mathematical Society 92, no. 2 (2015): 427–50. https://doi.org/10.1112/jlms/jdv032.
LibreCat | DOI
 

Search

Filter Publications

Display / Sort

Citation Style: Chicago

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