北京雁栖湖应用数学研究院

• 2023 -      北京雁栖湖应用数学研究院      研究员
• 2017 - 2023      Harvard University CMSA (Simons Collaboration on Homological Mirror Symmetry)      Senior Personnel (Professor)
• 2016 - 2022      奥尔胡斯大学      副教授
• 2016 - 2021      哈佛大学      资深基础数学学者
• 2015 - 2016      Kavli Institute for the Physics and Mathematics of the Universe      助理教授
• 2015 - 2016      麻省理工学院      访问助理教授
• 2013 - 2016      俄亥俄州立大学      Zassenhaus助理教授
• 2012 - 2013      马克思普朗克数学研究所      会员
• 2011 - 2012      不列颠哥伦比亚大学      博士后研究员
• 2010 - 2011      剑桥大学牛顿数学科学研究所      Postdoctoral research affiliate Member
• 2006 - 2010      伊利诺伊大学香槟分校      助教

• 2025      Invited speaker to ICBS 2025
• 2024      Invited speaker to ICBS 2024
• 2024      Invited speaker to ICCM 2024
• 2024      2024---Yeuk-Lam Best Paper Award
• 2023      Invited speaker to ICCM 2023
• 2023      Ruolin best paper award
• 2021      Affiliate Member, MIT IAiFi Institute      2021-Current
• 2017      Associate member, International laboratory for Mirror Symmetry and Automorphic Forms, National Research University Higher School of Economics, Russian Federation      2017-Current
• 2017      Honorary Member of the MIT Imaginarium of Technology, MIT Media Lab ( and got featured in IMT/ MIT news).
• 2010      University of Illinois Dissertation Completion Fellowship
• 2009      James D. Hogan and university of Illinois Fellowships      2009, 2010
• 2009      David G. Bourgin Fellowship
• 2009      Member of Phi Kappa Phi national honor society
• 2007      R.E.G.S 2 Fellowship      2007, 2009
• 2006      Department of Mathematics internal Fellowship      2006, 2008
• 2006      Outstanding instructor at the University of Illinois (4 consecutive years)      2006-2009
• 2006      NSF graduate student travel awards (5 consecutive years)      2006-2010
• 2004      Ranked 1'st place in M.Sc. level in M.E.
• 2003      Brilliant talent award by IRAN's Ministry of Science, Research and Technology. M.Sc. entrance without nationwide exam
• 2003      Ranked 3'rd place in B.Sc. level (out of 152) in M.E.
• 2000      Brilliant talent award by IRAN's Ministry of Science, Research and Technology. Permission to double major in M.E. and C.E.
• 1999      Ranked 61'st place in IRAN's nationwide university entrance exam among 500000+ participants

• [1] Jacob Kryczka and Artan Sheshmani, Tyurin Degenerations, Derived Lagrangians and Categorification of DT Invariants, arXiv:2510.2032 (2025)
• [2] Artan Sheshmani, Shing-Tung Yau and Benjamin Zhou, Tropical super Gromov-Witten invariants, arXiv:2510.17400 (2025)
• [3] A. Malter, A. Sheshmani, Towards non-commutative crepant resolutions of affine toric Gorenstein varieties, arXiv:2509.11664 (2025)
• [4] Yang He, Artan Sheshmani, Geography of Landau-Ginzburg models and threefold syzygies, https://arxiv.org/abs/2506.15427 (2025)
• [5] Artan Sheshmani, Xiaopeng Xia and Beihui Yuan, On the normality of commuting scheme for general linear Lie algebra, arXiv:2505.13013 (2025)
• [6] Dennis Borisov, Artan Sheshmani, Ludmil Katzarkov, Shing-Tung Yau, Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds, accepted by American Journal of Mathematics (2025)
• [7] Michael Mcbreen, Artan Sheshmani, Shing-Tung Yau, Twisted Quasimaps and Symplectic Duality for Hypertoric Spaces, Annales de L'Institut Fourier (2025)
• [8] D Borisov, L Katzarkov, A Sheshmani, Shifted symplectic structures on derived Quot-stacks II–derived Quot-schemes as dg manifolds, Advances in Mathematics, 462, 110092 (2025)
• [9] Dennis Borisov, Ludmil Katzarkov and Artan Sheshmani, Shifted symplectic structures on derived Quot-stacks II -- Derived Quot-schemes as dg manifolds, Advances in Mathematics, 462(110092) (2025)
• [10] Jacob Kryczka and Artan Sheshmani, D-Geometric Hilbert and Quot DG-Schemes, arXiv preprint arXiv:2411.02387 (2024)
• [11] Yuxiang Liu, Artan Sheshmani and Shing-Tung Yau, Multi-rigidity of Schubert classes in partial flag varieties, arXiv:2410.21726 (2024)
• [12] Artan Sheshmani and Angel Toledo, Relative Monoidal Bondal-Orlov, arXiv:2410.20942 (2024)
• [13] Jacob Kryczka, Artan Sheshmani and Shing-Tung Yau, Derived moduli spaces of nonlinear PDEs II: Variational tricomplex and BV formalism, arXiv preprint arXiv:2406.16825 (2024)
• [14] Artan Sheshmani and Shing-Tung Yau, Higher rank flag sheaves on surfaces, European Journal of Mathematics, 10(2024), 44
• [15] A Ziashahabi, B Buyukates, A Sheshmani, YZ You, S Avestimehr, Frequency Domain Diffusion Model with Scale-Dependent Noise Schedule, IEEE International Symposium on Information Theory (2024)
• [16] Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani and Shing-Tung Yau, Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms, Advances in Mathematics, 438 (2024)
• [17] Yuxiang Liu, Artan Sheshmani, Shing-Tung Yau, Rigid Schubert classes in partial flag varieties, arXiv:2401.11375 (2024)
• [18] J Kryczka, A Sheshmani, ST Yau, Derived moduli spaces of nonlinear pdes i: Singular propagations, arXiv preprint arXiv:2312.05226 (2023)
• [19] Enno Kessler, Artan Sheshmani, Shing-Tung Yau, Super Gromov-Witten Invariants via torus localization, arXiv:2311.09074(2023)
• [20] Enno Kessler, Artan Sheshmani, Shing-Tung Yau, Torus actions on moduli spaces of super stable maps of genus zero, arXiv preprint arXiv:2306.09730 (2023)
• [21] Cody Long, Artan Sheshmani, Cumrun Vafa and Shing-Tung Yau, Non-holomorphic cycles and non-BPS black branes, Communications in Mathematical Physics, 399(3), 1991-2043 (2023)
• [22] Michael Mcbreen, Artan Sheshmani and Shing-Tung Yau, Elliptic stable envelopes and hypertoric loop spaces, Selecta Mathematica, 26(2023), 73
• [23] Sergei Gukov, Artan Sheshmani and Shing-Tung Yau, 3-manifolds and Vafa-Witten theory, Advances in Theoretical and Mathematical Physics, 27(2023), 2
• [24] Artan Sheshmani, Yizhuang You, Wenbo Fu, and Ahmadreza Azizi, Categorical Representation Learning and RG flow operators for algorithmic classifiers, Machine Learning: Science and Technology (Accepted), 4, 015012 (2022)
• [25] Artan Sheshmani, and Yizhuang You, Categorical Representation Learning: Morphism is All You Need, Machine Learning: Science and Technology, 3(1), 015016 (2021)
• [26] Melissa Liu, Artan Sheshmani, Stacky GKM Graphs and Orbifold Gromov-Witten Theory, Asian Journal of Mathematics, 24(5) (2021)
• [27] Amin Gholmapour, Artan Sheshmani, Shing-Tung Yau, Localized Donaldson-Thomas theory of surfaces, American Journal of Mathematics, 142(2), 405-442 (2020)
• [28] DE Diaconescu, A Sheshmani, ST Yau, Atiyah class and sheaf counting on local Calabi Yau fourfolds, Advances in Mathematics, 368(13 ) (2020)
• [29] Amin Gholampour and Artan Sheshmani, Donaldson-Thomas invariants, linear systems and punctual Hilbert schemes, Mathematical Research Letters (Accepted), 25, 1049-1064 (2019)
• [30] A Gholampour, A Sheshmani, Donaldson–Thomas invariants of 2-dimensional sheaves inside threefolds and modular forms, Advances in Mathematics, 326(21), 79-107 (2018)
• [31] Melissa Liu, Artan Sheshmani, Equivariant Gromov-Witten invariants of algebraic GKM manifolds, SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 13, 048 (2017)
• [32] V Bouchard, T Creutzig, DE Diaconescu, C Doran, C Quigley et al., Vertical D4–D2–D0 bound states on K3 fibrations and modularity, Communications in Mathematical Physics, 350(3), 1069-1121 (2017)
• [33] Sergei Gukov, Melissa Liu, Artan Sheshmani, Shing-Tung Yau, On topological approach to local theory of surfaces in Calabi-Yau threefolds, Advances in Theoretical and Mathematical Physics, 21(2017 no 7), 1679-1728 (2016)
• [34] Artan Sheshmani, Weighted Euler characteristic of the moduli space of higher rank Joyce-Song pairs, European Journal of Mathematics, 2, 661–715 (2016)
• [35] Amin Gholampour, Artan Sheshmani, , Intersection numbers on the relative Hilbert schemes of points on surfaces, Asian Journal of Mathematics, 21(3), 531-542 (2015)
• [36] A Gholampour, A Sheshmani, Generalized Donaldson-Thomas Invariants of 2-Dimensional sheaves on local P^ 2, Advances in Theoretical and Mathematical Physics, 19(3), 673 – 699 (2015)
• [37] A Gholampour, A Sheshmani, R Thomas, Counting curves on surfaces in Calabi–Yau 3-folds, Mathematische Annalen, 360(1), 67-78 (2014)
• [38] Artan Sheshmani, Higher rank stable pairs and virtual localization, Communications in Analysis and Geometry, 24(1), 139-193 (2010)
• [39] Banavara Shashikanth, Artan Sheshmani, Scott David Kelly, Wei Mingjun, Hamiltonian structure and dynamics of a neutrally buoyant rigid sphere interacting with thin vortex rings, Journal of Mathematical Fluid Mechanics, 12(3), 335-353 (2010)
• [40] BN Shashikanth, A Sheshmani, SD Kelly, JE Marsden, Hamiltonian structure for a neutrally buoyant rigid body interacting withvortex rings of arbitrary shape: the case of arbitrary smooth body shape, Theoretical and Computational Fluid Dynamics, 22(1), 37-64 (2006)
• [41] Mohsen Asghari, Artan Sheshmani,, A thermo elastic solution for functionally graded beams using stress function, Proc. ICCES Conf. (2004)
• [42] A Sheshmani, YZ You, B Buyukates, A Ziashahabi, S Avestimehr, Renormalization group flow, optimal transport, and diffusion-based generative model, Physical Review E, 111(1) (2025)
• [43] AS Caucher Birkar, Jia Jia, Sheaf stable pairs, Quot schemes and Birational geometry, Other, 44 (2024)
• [44] J KRYCZKA, A SHESHMANI, ST YAU, A Derived Geometric Approach to Propagation of Solution Singularities for Non-linear PDEs I: Foundations (2023)
• [45] M Saadat, F Berlinger, A Sheshmani, R Nagpal, GV Lauder, H Haj-Hariri, Hydrodynamic advantages of in-line schooling, Bioinspiration & Biomimetics, 16(4) (2021)
• [46] A Gholampour, A Sheshmani, ST Yau, Nested Hilbert schemes on surfaces: virtual fundamental class, Advances in Mathematics, 365 (2020)
• [47] E Keßler, A Sheshmani, ST Yau, Super quantum cohomology I: Super stable maps of genus zero with Neveu-Schwarz punctures, arXiv preprint arXiv:2010.15634 (2020)
• [48] A Sheshmani, Hilbert Schemes, Donaldson-Thomas Theory, Vafa-Witten and Seiberg Witten Theories, Notices of International Congress of Chinese Mathematicians, 7(2), 25-31 (2019)
• [49] D Borisov, L Katzarkov, A Sheshmani, Shifted symplectic structures on derived Quot-stacks I: Differential graded manifolds, Advances in Mathematics, 403 (2019)
• [50] D Borisov, A Sheshmani, ST Yau, Global shifted potentials for moduli spaces of sheaves on cy4 (2019)
• [51] E Keßler, A Sheshmani, ST Yau, Super$ J $-holomorphic Curves: Construction of the Moduli Space, Mathematische Annalen (2019)
• [52] A Gholampour, A Sheshmani, Y Toda, Stable Pairs on Nodal$K3$Fibrations, International Mathematics Research Notices, 17, 5297-5346 (2018)
• [53] A Sheshmani, Wall-crossing and invariants of higher rank Joyce–Song stable pairs, Illinois Journal of Mathematics, 59(1), 55-83 (2015)
• [54] A Sheshmani, An introduction to the theory of Higher rank stable pairs and Virtual localization, Proc. Symp. Pure Math., 85, 455-466 (2012)
• [55] A Sheshmani, Towards studying of the higher rank theory of stable pairs, University of Illinois at Urbana-Champaign (2011)
• [56] K Behfar, A Sheshmani, R Naghdabadi, General Derivations for Conjugate Strains of Eshelby-Like Stress Tensors, Engineering Systems Design and Analysis, 353-356 (2004)

Research in Detail

Enumerative and Derived Algebraic Geometry, Mirror Symmetry:

My research explores the deep connections between geometry and physics, traversing a landscape from classical counting problems to the quantum foundations of string theory. It begins with Enumerative Algebraic Geometry, the classical art of counting geometric objects. This field rests on the monumental foundation laid by Alexander Grothendieck, whose introduction of scheme theory fundamentally rewrote the language of algebraic geometry. Schemes provide a unified framework where complicated geometric spaces and their underlying algebraic equations are treated as a single entity, turning seemingly intractable geometric problems into more manageable algebraic ones. This powerful perspective is essential for precisely formulating and solving enumerative questions, which serve as concrete testing grounds for new theories and a bridge to physical phenomena.

To solve these classical problems and venture into new territories, one may employ some powerful machineryies developed within modern Algebraic Geometry, such as Deformation theory, Derived Category Theory, Intersection Theory, then Derived Algebraic Geometry and the theory of stacks. Stacks, a conceptual descendant of scheme theory, are the correct language for studying "spaces of spaces," known as moduli spaces. These spaces, which parameterize all possible geometric objects like curves or vector bundles, are often poorly behaved—possessing singularities and symmetries that make them difficult to handle. Stacks gracefully manage this complexity by remembering automorphisms, much like a folder on a computer can remember that it contains multiple copies of the same file. Derived geometry then builds upon this by incorporating homological algebra and homotopy theory directly into the geometric foundations, allowing us to "smooth out" these moduli spaces conceptually and perform calculus on them. This derived framework is essential for rigorously defining the sophisticated invariants that arise in modern theoretical physics.

The profound interplay between these fields culminates in Mirror Symmetry, a phenomenon first discovered in String Theory. This duality posits that for a certain Calabi-Yau space (the geometry of a string theory's extra dimensions), there exists a mirror partner where complex and symplectic geometry are swapped. The full power of this correspondence can only be unlocked using the modern tools descended from Grothendieck's vision. The enumerative predictions on one side are computed using techniques from modern algebraic geometry or derived geometry applied to moduli stacks on the other, providing a powerful computational tool. My work sits at this exciting nexus, using this advanced geometric lexicon to probe the very nature of Mirror Symmetry, thereby using insights from string theory to solve profound mathematical problems and, conversely, using rigorous mathematics to illuminate the underlying structure of our physical universe.

Current and Former Postdocs / Students in Artan Sheshmani's Group:

• 2025---current Nicolo Piazzalunga (Postdoc at BIMSA, co-mentoring with Shing-Tung Yau)
• 2024---current Benjamin Zhou (Postdoc at YMSC, co-mentoring with Shing-Tung Yau)
• 2024---current Yang He (Postdoc at BIMSA co-mentoring with Caucher Birkar)
  
• 2024---current Angel Toledo (Postdoc at BIMSA)
• 2024---2025 Aimeric Malter (Postdoc at BIMSA)
  
• 2024---2025 Xiaopeng Xia (Postdoc at BIMSA)
• 2023---2025 Jacob Kryczka (Postdoc at BIMSA)
  
• 2023---2025 Yuxiang Liu (Postdoc at BIMSA)
  
• 2020---2021 Cody Long (Postdoc at Harvard CMSA and Harvard Physics department)-Co-supervising with Matthew Reece
  
• 2019---2021 Michael Mcbreen (Postdoc at Harvard CMSA and center for QGM)-Now Assist. Professor at Chinese University of Hong Kong
• 2018---2020 Dennis Borisov (Postdoc at Harvard CMSA and center for QGM)-Now Assist. Professor at U. Windsor
• 2018---2021 Enno Kessler (Postdoc at Harvard CMSA), Co-supervising with Shing-Tung Yau.
• 2018---2019 Joakim Fargeman, Bsc student at Aarhus University, Now PhD Student at University of Texas Austin.

Lectures:

• Theory of schemes and stacks, Derived Categories and Intersection theory, I, (BIMSA, Fall 2025 Spring 2026)
• Theory of schemes and stacks, Derived Categories and Intersection theory, II, (BIMSA, Fall 2024 Spring 2025)
• Theory of schemes and stacks, Derived Categories and Intersection theory, I, (BIMSA, Fall 2024 Spring 2025)
• Counting sheaves and objects in derived category in dimensions 2,3,4,5 (BIMSA, Spring 2024)
• Counting sheaves and objects in derived category in dimensions 2,3,4,5 (BIMSA, Fall 2023)
• Gromov-Witten and Donaldson-Thomas theory (BIMSA, Spring 2023)
• Derived Algebraic / Differential Geometry (BIMSA, Fall 2022)
• Gromov-Witten/ Donaldson-Thomas theory and birational/symplectic invariants for algebraic surfaces--24 lectures (Spring 2021)
• Derived Algebraic/Differential Geometry (Together with Dennis Borisov--18 lectures) (Spring 2019)
• Quantum cohomology, Nakajima varieties and Quantum groups (19 lectures) (Spring 2018)
• Special lectures series on Donaldson-Thomas and Gromov-Witten theories (9 lectures) (Spring 2017)
• Nested Hilbert schemes and DT theory of local threefolds (Spring 2017) 
• The theory of nested Hilbert schemes on surfaces (Spring 2017)
• Talk at JDG 2017 (Summer 2017)
• On S-duality Modularity Conjecture for Quintic Threefolds (Fall 2015)