ORCID: 0000-0001-6511-2845
Journal Articles
- On the boundedness of singularities via normalized volume, Journal of the Institute of Mathematics of Jussieu (2026) [arXiv]
- Dually Lorentzian polynomials, Monatsh. Math. 208 (2025) [arXiv]
- Bounding toric singularities with normalized volume, Bull. Lond. Math. Soc. 56 (2024) [arXiv]
- On the instability of syzygy bundles on toric surfaces, Annali di Matematica (2025) [arXiv]
- Log del Pezzo \(\mathbb C^*\)-surfaces, Kähler-Einstein metrics, Kähler-Ricci solitons and Sasaki-Einstein metrics, Michigan Mathematical Journal 34 (2023) [arXiv]
- Toric topology of the Grassmannian of planes in \(\mathbb C^5\)and the del Pezzo surface of degree 5, Mosc. Math. J. 21 (2021) [arXiv]
- Fano schemes for generic sums of products of linear forms, J. Algebra Appl. 19 (2020) [arXiv]
- Flexible affine cones and flexible coverings, Math. Z. 290 (2018) [arXiv]
- On the classification of Kähler-Ricci solitons on Gorenstein del Pezzo surfaces, Eur. J. Math. 4 (2018) [arXiv]
- \(F\)-split and \(F\)-regular varieties with a diagonalizable group action, J. Algebr. Geom. 26 (2017) [arXiv]
- K-stability for Fano manifolds with torus action of complexity 1, Duke Math. J. 166 (2017) [arXiv]
- Equivariant vector bundles on \(T\)-varieties, Transform. Groups 20 (2015) [arXiv]
- Fano threefolds with 2-torus action, Doc. Math. 19 (2014) [arXiv]
- Infinite transitivity on universal torsors, J. Lond. Math. Soc., II. Ser. 89 (2014) [arXiv]
- Kähler-Einstein metrics on symmetric Fano \(T\)-varieties, Adv. Math. 246 (2013) [arXiv]
- Normal singularities with torus actions, Tôhoku Math. J. (2) 65 (2013) [arXiv]
- Cox rings and pseudoeffective cones of projectivized toric vector bundles, Algebra Number Theory 6 (2012) [arXiv]
- Polarized complexity-1 T-varieties, Mich. Math. J. 60 (2011) [arXiv]
- Multigraded factorial rings and Fano varieties with torus action, Doc. Math. 16 (2011) [arXiv]
- Torus invariant divisors, Isr. J. Math. 182 (2011) [arXiv]
- The Cox ring of an algebraic variety with torus action, Adv. Math. 225 (2010) [arXiv]
- Algebraic geometry codes from polyhedral divisors, J. Symb. Comput. 45 (2010) [arXiv]
- Milnor algebras could be isomorphic to modular algebras, J. Symb. Comput. 44 (2009) [arXiv]
- Gluing affine torus actions via divisorial fans, Transform. Groups 13 (2008) [arXiv]
Books
- The Calabi problem for Fano threefolds , Araujo, Carolina and Castravet, Ana-Maria and Cheltsov, Ivan and Fujita, Kento and Kaloghiros, Anne-Sophie and Martinez-Garcia, Jesus and Shramov, Constantin and Süß, Hendrik and Viswanathan, Nivedita, Lond. Math. Soc. Lect. Note Ser., 485, Cambridge: Cambridge University Press, 2023
Conference Proceedings
- On the Cheltsov-Rubinstein conjecture Birational geometry, Kähler-Einstein metrics and degenerations. Proceedings of the conferences, Moscow, Russia, April 8–13, 2019, Shanghai, China, June 10–14, 2019, Pohang, South Korea, November 18–22, 2019 , Cham: Springer, 2023 [arXiv]
- K-polystability of two smooth Fano threefolds Birational geometry, Kähler-Einstein metrics and degenerations. Proceedings of the conferences, Moscow, Russia, April 8–13, 2019, Shanghai, China, June 10–14, 2019, Pohang, South Korea, November 18–22, 2019 , Cham: Springer, 2023 [arXiv]
- Orbit spaces of maximal torus actions on oriented Grassmannians of planes Interactions with lattice polytopes. Selected papers based on the presentations at the workshop, Magdeburg, Germany, September 14–16, 2017 , Cham: Springer, 2022 [arXiv]
- Stability of tangent bundles on smooth toric Picard-rank-\(2\) varieties and surfaces Facets of algebraic geometry. A collection in honor of William Fulton’s 80th birthday. Volume 2 , Cambridge: Cambridge University Press, 2022 [arXiv]
- The geometry of \(T\)-varieties Contributions to algebraic geometry. Impanga lecture notes. Based on the Impanga conference on algebraic geometry, Banach Center, Bȩdlewo, Poland, July 4–10, 2010 , Zürich: European Mathematical Society (EMS), 2012 [arXiv]
Preprints
- On the first-order deformations of seminormal affine toric varieties 2026, [arXiv:2608.30671]
- Linear operators preserving volume polynomials 2025, [arXiv:2506.22415]
- Diagonalizations of denormalized volume polynomials 2025, [arXiv:2502.13305]
- Canonical divisors on T-varieties 2008, [arXiv:0811.0626]