Embedded Files
On Strongly F-regular Inversion of Adjunction, arXiv:1310.8252 [math.AG], 2013. Journal of Algebra 434(2015), 207-226; MR3342393. DOI: 10.1016/j.jalgebra.2015.03.025.
On the Adjunction Formula for 3-folds in Characteristic p>5, arXiv:1505.05903 [math.AG], 2015. Joint with Christopher Hacon. Mathematische Zeitschrift 284 (2016), no. 1-2, 255-269; MR3545494. DOI: 10.1007/s00209-016-1655-4.
The F-Different and a Canonical Bundle Formula, arXiv:1508.07295 [math.AG], 2015. Joint with Karl Schwede. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XVII (2017), 1173-1205; MR3726839. DOI: 10.2422/2036-2145.201510 012.
On the Abundance Problem for 3-folds in Characteristic p>5, arXiv:1610.03403 [math.AG], 2016. Joint with Joe Waldron. Mathematische Zeitschrift, 292 (2019), no. 3-4, 937–946; MR3980278. DOI: 10.1007/s00209- 018-2110-5.
Finiteness of Log Minimal Models and Nef Curves on 3-Folds in Characteristic p>5, arXiv:1711.10901 [math.AG], 2017. Nagoya Mathematical Journal, 239 (2020), 76–109; MR4138896. DOI: 10.1017/nmj.2018.28.
Appendix A: Contracting the Section of a Weierstrass Threefold, an appendix to the ‘Bridgeland Stability on Blow Ups and Counterexamples’ by Cristian Martinez and Benjamin Schmidt, arXiv:1708.08567 [math.AG], 2017. Mathematische Zeitschrift, 292 (2019), no. 3-4, 1509–1510; MR3980301. DOI: 10.1007/s00209-018-2149-3.
On the Boundedness of Anti-Canonical Volumes of Singular Fano 3-Folds in Characteristic p>5, arXiv:1808.02102 [math.AG], 2018. International Mathematics Research Notices, 2021, no. 9, 6848–6870, DOI: 10.1093/imrn/rnz048.
Kawamata-Viehweg Vanishing Theorem for del Pezzo Surfaces over Imperfect Fields of Characteristic p>3, arXiv:1709.03237 [math.AG], 2017. Osaka Journal of Mathematics, 58 (2021), no. 2, 477–486. Article Link: KV vanishing.pdf.
Boundedness of Log-Pluricanonical Maps for Surfaces of Log-General Type in Positive Characteristic, arXiv:2003.13324 [math.AG], 2020. Accepted for publication in the Osaka Journal of Mathematics, 59(1): 65-74, 2022. Article Link: Boundedness.pdf.
On the Log Minimal Model Program for 3-folds over Imperfect Fields of Characteristic p>5, arXiv:1911.04394, [math.AG], 2019. Joint with Joe Waldron. Journal of the London Mathematical Society, 106 (4), 3895–3937, 2022. DOI: 10.1112/jlms.12677.
On the Log Abundance for Compact Kahler 3-folds, arXiv:2201.01202 [math.AG], 2022. Joint with Wenhao Ou. Manuscripta Mathematica, 173, 341–404, 2024. DOI: 10.1007/s00229-023-01467-6.
On the 4-Dimensional Minimal Model Program for Kähler Varieties, arXiv:2205.12205, [math.AG], 2022. Joint with Christopher Hacon and Mihai Paun. Advances in Mathematics, 2024, DOI: 10.1016/j.aim.2024.109615.
The Log Minimal Model Program for Kähler 3-Folds, arXiv:2009.05924, [math.AG], 2020. Joint with Christopher Hacon. Accepted for publication in the Journal of Differential Geometry, see here: accepted list.
Existence of Good Minimal Models for Kähler Varieties of Maximal Albanese Dimension, arXiv:2208.02227, [math.AG], 2022. Joint with Christopher Hacon. Comptes Rendus. Mathématique, 362, 83--91, 2024, Special Volume in memory of J. P. Demailly. DOI: 10.5802/crmath.581.
Preprints
Preprints
MMP for Generalized pairs on Kähler 3-Folds, arXiv:2305.00524, [math. AG], 2023. Joint with Christopher Hacon and José Ignacio Yánez. Submitted.
On the Log Abundance for Compact Kähler Threefolds II, arXiv:2306.00671, [math.AG], 2023. Joint with Wenhao Ou. Submitted.
On the Minimal Model Program for Kähler 3-Folds, arXiv:2306.11708, [math.AG], 2023. Joint with Christopher Hacon. Submitted.
A Base-point Free Theorem for Algebraically Integrable Foliations, \href{.pdf}{arXiv.2307.03530, [math.AG], 2023. Joint with Priyankur Chaudhuri. Submitted.
ACC for LC Thresholds for Algebraically Integrable Foliations, arXiv.2307.07157, [math.AG], 2023. Joint with Jihao Liu and Roktim Mascharak. Submitted.
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