nLab Artan Sheshmani

Selected works

Artan Sheshmani is a professor of mathematics at Beijing Institute of Mathematical Sciences and Applications (BIMSA), and he is affiliate member at HSE and MIT IAiFi.

Selected works

Algebraic geometry and mathematical physics

  • Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani, Shifted Symplectic Structures on Derived Quot-Stacks II- Derived Quot-Schemes as DG manifolds, Advances in Mathematics, Vol 462, 10092 (2025), [arXiv:2312.02815]

  • Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani and Shing-Tung Yau, Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds, American Journal of Mathematics, Accepted (2025), [arXiv:2007.13194].

  • Michael Mcbreen,Artan Sheshmani and Shing-Tung Yau, Twisted Quasimaps and Symplectic Duality for Hypertoric Spaces, 46 pages, Published version., Annales de L’Institut Fourier (2025)

  • Artan Sheshmani and Shing-Tung Yau, Higher rank flag shaves on surfaces and Vafa-Witten invariants, 55 pages, European Journal of Mathematics, Vol 10, 44, (2024). [arXiv:1911.00124].

  • Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani, Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms, 33 pages, [arXiv:1908.00651], Advances in Mathematics, Vol 438, 109477, (2024).

  • Michael Mcbreen, Artan Sheshmani and Shing-Tung Yau, Elliptic stable envelopes and hypertoric loop spaces, 21 pages, [arXiv:2010.00670], Selecta Mathematica, 29, 73, (2023).

  • Cody Long, Artan Sheshmani, Cumrun Vafa and Shing-Tung Yau, Non-Holomorphic Cycles and Non-BPS Black Branes, 57 pages, [arXiv:2104.06420], Communications in Mathematical Physics, (2023).

  • Sergei Gukov, Artan Sheshmani and Shing-Tung Yau, 3-manifolds and Vafa-Witten theory, 27 pages, [arXiv:2207.05775], Adv. Theor. Math. Phys, Volume 27, Issue 2, 2023).

  • Dennis Borisov and Ludmil Katzarkov and Artan Sheshmani, Shifted symplectic structures on derived Quot-stacks, Advances in Mathematics, Vol 403, 34 pages.

  • Enno Kessler,Artan Sheshmani and Shing-Tung Yau, Super J-holomorphic Curves: Construction of the Moduli Space, 50 pages, Mathematischel Annalen (2021) [arXiv:1911.05607]

  • Amin Gholampour and Artan Sheshmani, Donaldson-Thomas invariants, linear systems and punctual Hilbert schemes, 10 pages, Mathematical Research Letters (2021), [arXiv:1909.02679]

  • Emanuel Diaconescu, Artan Sheshmani and Shing-Tung Yau, Atiyah class and sheaf counting on local Calabi Yau 4 folds, Advances in Mathematics, Vol 368, 15 July, 2020, 54 pages, [arXiv:1810.09382]

  • Amin Gholampour, Artan Sheshmani and Shing-Tung Yau, Nested Hilbert schemes on surfaces: Virtual fundamental class, 47 pages, Advances in Mathematics, Vol 365, 13, May 2020, [arXiv:1701.08899]

  • Amin Gholampour, Artan Sheshmani and Shing-Tung Yau, Localized Donaldson-Thomas theory of surfaces, 28 pages, American Journal of Mathematics, Vol 142, 2, April 2020, [arXiv:1701.08902]

  • Melissa Liu and Artan Sheshmani , Stacky GKM Graphs and Orbifold Gromov-Witten Theory, 38 pages, Asian Journal of Mathematics 24 (5) , pp. 48. [arXiv:1807.05697]

  • Amin Gholampour and Artan Sheshmani, Donaldson-Thomas Invariants of 2-Dimensional sheaves inside threefolds and modular forms, 22 pages, Advances in Mathematics, Vol. 326, No. 21, p. 79-107, [arXiv:1309.0050]

  • Sergei Gukov, Melissa Liu, Artan Sheshmani and Shing-Tung Yau, On topological approach to local theory of surfaces in Calabi-Yau threefolds, 39 pages, Advances in Theoretical and Mathematical Physics, Vol 21, no 7, p. 1679-1728, [arXiv:609.04363]

  • Melissa Liu and Artan Sheshmani, Equivariant Gromov-Witten Invariants of Algebraic GKM Manifolds, 22 pages (2017), SIGMA, 13, 048, pp 1-21, [arXiv:1407.1370]

  • Amin Gholampour, Artan Sheshmani and Yukinobu Toda, Stable pairs on nodal K3 brations, 38 pages, International Mathematical Research Notices, Vol. 2017, No. 00, pp. 1-50, [arXiv:1308.4722]

  • Vincent Bouchard, Thomas Creutzig, Emanuel Diaconescu, Charles Doran, Callum Quigley,Artan Sheshmani, Vertical D4-D2-D0 bound states on K3 brations and modularity, 54 pages, (2016), Communications in Mathematical Physics Volume 350, Issue 3, pp 1069-1121, [arXiv:1601.04030]

  • Artan Sheshmani, Weighted Euler characteristic of the moduli space of higher rank Joyce-Song pairs, 48 pages, European Journal of Mathematics (EJM), Vol 2, issue 2 (2016), [arXiv:1107.0295]

  • Amin Gholampour and Artan Sheshmani, Intersection numbers on the relative Hilbert schemes of points on surfaces, 11 pages, Asian Journal of Mathematics, Vol 21, 3, Pp. 531-542 (2016), [arXiv:1504.01107]

  • Artan Sheshmani, Wall-crossing and invariants of higher rank stable pairs, 31 pages, Illinois Journal of Mathematics, Vol 59, 1, 55-83 (2016), [arXiv:1101.2252]

  • Artan Sheshmani, Higher rank stable pairs and virtual localization, 40 pages, Communications in Analysis and Geometry, Vol 24, 1 (2016), [arXiv:1011.6342]

  • Amin Gholampour and Artan Sheshmani, Generalized Donaldson-Thomas Invariants of 2-Dimensional sheaves on local P2, 29 pages, Adv. Theor. Math. Phys., Volume 19, Number 3, 673-699 (2015), [arXiv:1309.0056]

  • Amin Gholampour, Artan Sheshmani and Richard P. Thomas, Counting curves on surfaces in Calabi-Yau threefolds, 10 pages, Mathematische Annalen, Volume 360, Issue 1-2, pp 67-78 (2014), [arXiv:1309.0051]

  • Artan Sheshmani, Introduction to higher rank theory of stable pairs, 11 pages, AMS Proc. Symp. Pure Math. Vol 85, Amer. Math. Soc. (2012), [arXiv:1210.4202]

  • Artan Sheshmani, Towards studying the higher rank Pandharipande-Thomas theory of stable pairs, 207 pages. Thesis (Ph.D.)-University of Illinois at Urbana Champaign (2011). 209 pp. ISBN, 978-1267-16462-9.

  • Artan Sheshmani, Hilbert Schemes, Donaldson-Thomas theory, Vafa-Witten and Seiberg-Witten theories, Notices of the International Congress of Chines Mathematics (2019) (j.mp:2U7qd01, pdf)

  • Artan Sheshmani, Xiaopeng Xia and Beihui Yuan, On the normality of commuting scheme for general linear Lie algebra, 30 pages, [arXiv:2505.13013]

  • Yuxiang Liu, Artan Sheshmani and Shing-Tung Yau, Multi-rigidity of Schubert classes in partial flag varieties, 39 pages, [arXiv:2410.21726]

  • Yuxiang Liu, Artan Sheshmani and Shing-Tung Yau, Rigid Schubert classes in partial flag varieties, 36 pges, [arXiv:2401.11375].

  • Enno Kessler, Artan Sheshmani and Shing-Tung Yau, Super Gromov-Witten invariants via torus localizations, 69 pages, [arXiv:2311.09074]

  • Enno Kessler, Artan Sheshmani and Shing-Tung Yau, Torus actions on moduli spaces of super stable maps of genus zero, 41 pages, arXiv:2306.09730.

Birational geometry

  • Caucher Birkar and Jia Jia and Artan Sheshmani, Sheaf stable pairs, Quot schemes and Birational geometry, 44 pages, [arXiv:2406.00230]

  • Yang He and Artan Sheshmani, Geography of Landau-Ginzburg models and threefold syzygies, 57 pages, [arXiv:2506.15427]

  • Angel Toledo and Artan Sheshmani, Relative Monoidal Bondal-Orlov, 36 pages, [arXiv:2410.20942]

Derived geometry of PDEs

Machine learning

  • Artan Sheshmani, Yi-zhuang You, Categorical representation learning: morphism is all you need, Machine Learning: Science and Technology 3:1 (2021) 16 pages arXiv:2103.14770 doi

  • Artan Sheshmani, Yi-zhuang You, Wenbo Fu, Ahmadreza Azizi, Categorical representation learning and RG flow operators for algorithmic classifiers, 31 pages, Machine Learning: Science and Technology 4, 015012 (2023) 31 pages arXiv:2203.07975 doi

  • Artan Sheshmani, Yizhuang You, Baturalp Buyukates, Amir Ziashahabi, Salman Avestimehr, Renormalization group flow, optimal transport and diffusion-based generative model,Physica Review E, (2024), arXiv:2402.17090

  • Amir Ziashahabi, Baturalp Buyukates, Artan Sheshmani, Yi-Zhuang You and Salman Avestimehr, Frequency-Domain Diffusion Model with Scale-Dependent Noise Schedule, Frequency-Domain Diffusion Model with Scale-Dependent Noise Schedule, IEEE International Symposium on Information Theory, (2024).

category: people

Last revised on August 25, 2025 at 10:06:38. See the history of this page for a list of all contributions to it.