Preprints

1. Logarithmic concavity of bimatroids 

with Felix Röhrle.

2. Semi-homogeneous vector bundles on abelian varieties: moduli spaces and their tropicalization 

with Andreas Gross, Inder Kaur, and Annette Werner.

3. $P=W$ phenomena on abelian varieties

with Barbara Bolognese and Alex Küronya.

4. Tropicalization of toric prevarieties 

with Pedro Souza and Alex Küronya.

5. Tropical double ramification loci 

with Dmitry Zakharov.

Publications

6. Buildings, valuated matroids, and tropical linear spaces 

with Luca Battistella, Kevin Kühn, Arne Kuhrs, and Alejandro Vargas. 

J. Lond. Math. Soc., 109 (2024) Issue 1, 12850.

7. Abelian tropical covers 

with Yoav Len and Dmitry Zakharov. 

Math. Proc. Cambridge Phil. Soc., 176 (2024) Issue 2, pp. 395--416.

8. Principal bundles on metric graphs: the $\mathrm{GL}_n$ case 

with Andreas Gross and Dmitry Zakharov. 

Adv. Math., 411 (2022) Part A,  108775.

9. Tropicalization of the universal Jacobian 

with Margarida  Melo, Samouil Molcho, and Filippo Viviani. 

Épijournal de Géométrie Algébrique, Volume 6 (2022).

10. Symmetric powers of algebraic and tropical curves: a non-Archimedean perspective 

with Madeline Brandt. 

Trans. Amer. Math. Soc. Ser. B, 9 (2022), 586--618.

11. Divisorial motivic zeta functions for marked stable curves 

with Madeline Brandt. 

Michigan Math. J., 71 (2022), 271--282.

12. A non-Archimedean analogue of Teichmüller space and its tropicalization. 

Selecta Math., 27 (2021), no. 3, article 29.

13. Skeletons of Prym varieties and Brill-Noether theory 

with Yoav Len. 

Algebra Number Theory, 15 (2021), no. 3, 785--820.

14. Realizability of tropical canonical divisors 

with Martin Möller and Annette Werner. 

J. Eur. Math. Soc. (JEMS), 23 (2021), no. 1, 185–217. 

15. A moduli stack of tropical curves 

with Renzo Cavalieri, Melody Chan, and Jonathan Wise. 

Forum Math. Sigma, Volume 8 (2020), e23.

16. Logarithmic Picard groups, chip firing, and the combinatorial rank 

with Tyler Foster, Dhruv Ranganathan, and Mattia Talpo. 

Math. Z., Volume 291 (2019), Issue 1–2, Pages 313–327.

17. Non-Archimedean geometry of Artin fans. 

Adv. Math., Volume 345 (2019), Pages 346-381.

18. Clutching and gluing in tropical and logarithmic geometry 

with Alana Huszar and Steffen Marcus. 

J. Pure Appl. Algebra, Volume 223 (2019), Issue 5, Pages 2036--2061.

19. Tropicalization is a non-Archimedean analytic stack quotient. 

Math. Res. Lett. 24 (2017) No. 4, 1205--1237.

20. Functorial tropicalization of logarithmic schemes: The case of constant coefficients. 

Proc. Lond. Math. Soc. (2017) 114 (6), 1081--1113. 

21. Faithful realizability of tropical curves 

with Man-Wai Cheung, Lorenzo Fantini, and Jennifer Park. 

Int. Math. Res. Notices (2016) 2016 (15): 4706--4727. 

22. Tropical geometry of moduli spaces of weighted stable curves. 

J. Lond. Math. Soc. (2015) 92 (2): 427--450.

23. Tropical compactification in log-regular varieties. 

Math. Z., June 2015, Volume 280, Issue 1-2, pp 195--210.

Conference Proceedings

24. Towards a tropical Hodge bundle 

with Bo Lin. 

Combinatorial Algebraic Geometry, 353-368, Fields Institute Communications (2017), Volume 80, Springer 2017, Editors: Greg Smith and Bernd Sturmfels.

25. Skeletons and fans of logarithmic structures 

with Dan Abramovich, Qile Chen, Steffen Marcus, and Jonathan Wise. 

Non-Archimedean and Tropical Geometry, 287-336, Simons Symposia (2016), Editors: Matt Baker and Sam Payne.

Outreach

26. From the dollar game to the Riemann-Roch Theorem 

with Sara Lamboglia. 

Snapshots of modern mathematics from Oberwolfach, Nr. 1/2021.

Non-refereed publications, theses, and reports

27. Towards a logarithmic compactification of strata of abelian differentials. 

Oberwolfach Reports Volume 16, Issue 2, 2019, pp. 1681--1682.

28. What is the fundamental group of a tropical curve? 

Oberwolfach Reports, Volume 16, Issue 2, 2019, pp. 1270--1271.

29. Skeletons of Prym varieties and Brill-Noether theory. 

Oberwolfach Reports Volume 16, Issue 1, 2019, pp. 534--536.

30. Around tropical curves. 

Oberwolfach Reports, Volume 15, Issue 3, 2018, pp. 2583–2650.

31. Newton-Okounkov bodies and reified valuations of higher rank 

with Alberto Camara, Iago Giné, Roberto Gualdi, Nikita Kalinin, Joachim Roé, Stefano Urbinati, and Xavier Xarles. 

Extended Abstracts February 2016, Positivity and Valuations, Trends in Mathematics, Springer.

32. Logarithmic structures, Artin fans, and tropical compactifications

Oberwolfach Reports Volume 12, Issue 4, 2015, pp. 3271–3331. 

33. Tropical geometry of logarithmic schemes, my PhD-Thesis