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Publications

    • K-stability of Fano varieties via admissible flags, joint with Ziquan Zhuang, 38 pages. (arXiv)
    • Stability of fibrations over one-dimensional bases, joint with Maksym Fedorchuk and Igor Krylov, submitted, 34 pages. (arXiv)
    • Double Veronese cones with 28 nodes, joint with Ivan Cheltsov, Jihun Park and Constantin Shramov, submitted, 47 pages. (arXiv)
    • Birational rigidity of orbifold degree 2 del Pezzo fibrations, joint with Igor Krylov, submitted, 23 pages. (arXiv)
    • Stable rationality of higher dimensional conic bundles, Épijournal Geom. Algébrique, 2 (2018), Art. 5, 13 pp., joint with Okada Takuzo. (arXiv)
    • On a conjecture of Tian, Mathematische Zeitschrift, 288 (2018), no. 1-2, 217-241,  joint with Ivan Cheltsov and Josef Schicho. (arXiv)
    • Birationally rigid pfaffian Fano 3-folds, Algebraic Geometry , (2018) Volume 5, Issue 2, pp.160-199, joint with Okada Takuzo. (arXiv)
    • Geometric aspects of robust testing for normality and sphericity, Stochastic Analysis and Applications, (2017) 35(3), 511-532, joint with Wolf-Dieter Richter, Lubos Strelec and Milan Stehlik.
    • On pliability of del Pezzo fibrations and Cox rings, J. Reine Angew. Math. (Crelle’s Journal), 2017 (723), pp.101-125. (arXiv)
    • On conjugacy classes of the Klein simple group in Cremona group, Glasgow Math. Journal, 59 (2017), no. 2, 395–400. (arXiv)
    • Mori dream spaces and birational rigidity of Fano 3-folds, Advances in Mathematics, 292 (2016), 410-445, joint with Francesco Zucconi. (arXiv)
    • Non-rigid quartic 3-folds, Compositio Mathematica, volume 152 (2016), pp. 955-983, joint with Anne-Sophie Kaloghiros. (arXiv)
    • Circle of Sarkisov links on a Fano 3-fold, Proc. Edinburgh Math. Soc., (2) 60 (2016), no. 1, 1-16, joint with Francesco Zucconi. (arXiv)
    • An algebraic study of linkages with helical joints, J. Pure Appl. Algebra, 219 (2015), 2245-2259, joint with Zijia Li and Josef Schicho. (arXiv)
    • Singular del Pezzo fibrations and birational rigidity, Automorphisms in Birational and Affine Geometry, Spring Proc. Math. Stat., 79 (2014), 3-15. (arXiv)
    • On del Pezzo fibrations that are not birationally rigid, J. London Math. Soc., (86) 2012, no. 1, 36-62. (arXiv)