List of Papers

1. D. Borisov, L. Katzarkov, A. Sheshmani, Shifted symplectic structures on derived Quot-stacks II – derived Quot-schemes as dg manifolds, Advances in Mathematics, 462 (2025), 110092,

https://www.sciencedirect.com/science/article/pii/S000187082400608X, IF: 1.5  (Q1)

2. M. S. Costa, L. Grama, L. Katzarkov, Generalized toric varieties, LVMB manifolds and Lie groupoids, European Journal of Mathematics (2024) 10:54,

https://doi.org/10.1007/s40879-024-00769-7, IF: 0.5  (Q3)

3. D. Auroux, A. Efimov, L. Katzarkov, Lagrangian Floer theory for trivalent graphs and homological mirror symmetry for curves. Sel. Math. New Ser. 30, 95 (2024). https://doi.org/10.1007/s00029-024-00988-6, IF:1.2  (Q1)

4. R. Paul Horja, L. Katzarkov, Discriminants and toric K-theory, Advances in Mathematics, 453 (2024), 109831

https://www.sciencedirect.com/science/article/pii/S0001870824003463, , IF: 1.5  (Q1)

5. M. Green, P. Griffiths, L. Katzarkov, Shafarevich mappings and period mappings, Pure andApplied Mathematics Quarterly  20 (2024), n. 5, 2197-2229,

https://dx.doi.org/10.4310/PAMQ.241105214711, IF: 0.5  (Q3)

6. F. Haiden. L. Katzarkov, M. Kontsevich. P. Pandit. Semistability, modular lattices, anditerated logarithms. J. Differential Geom. 123 (1) 21 – 66, 2023. 

https://doi.org/10.4310/jdg/1679503804, IF: 1.3  (Q1)

7. C. Doran, A. Harder, L. Katzarkov, M. Ovcharenko, V. Przyjalkowski, Modularity of Landau-Ginzburg models, accepted for publication in Proceedings of the Steklov Institute of Mathematics,  preprint available at arXiv:2307.15607v1,

https://arxiv.org/abs/2307.15607, IF:0.8  (Q2)

8. S. Ivanov, A. Petkov, The CR Almost Schur Lemma and the positivity conditions, Ann. Sc. Norm. Super. Pisa Cl. Sci.(5) XIII, (2023), DOI: 10.2422/2036-2145.202301_011, https://journals.sns.it/index.php/annaliscienze/article/view/6116, IF: 1.2  (Q1)

9. S. Ivanov, A. Petkov, The Almost Schur Lemma in Quaternionic Contact Geometry, Rev. RealAcad. Cienc. Exactas Fis. Nat. Ser. A-Mat. (2023) 117:77, https://doi.org/10.1007/s13398-023-01403-z, IF: 1.8  (Q1)

10. S. Ivanov, N. Stanchev, Riemannian curvature identities on almost Calabi-Yau with torsion6-manifold and generalized Ricci solitons, (2024) Annali di Matematica Pura ed Applicata(1923 -), DOI:10.1007/s10231-024-01494-4, Published Online: 19 August 2024,https://link.springer.com/article/10.1007/s10231-024-01494-4, IF: 1  (Q1)

11. S. Ivanov, N. Stanchev, The Riemannian Bianchi identities of metric connections with skewtorsion and generalized Ricci solitons, Results Math 79, 270 (2024). https://doi.org/10.1007/s00025-024-02302-4, IF: 1.1  (Q1)

12. S. Ivanov, M. Tchomakova and S. Zamkovoy, Conformal paraquaternionic contact curvature and the local flatness theorem, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 119 (1) (2024), DOI: 10.1007/s13398-024-01688-8,

https://link.springer.com/article/10.1007/s13398-024-01688-8,  IF: 1.8  (Q1)

13. S. Ivanov, M. Tchomakova and I. Minchev, Twistor and Reflector spaces for paraquaternionic contact manifolds, Mathematics 2024, 12, 3355 https://doi.org/10.3390/ math12213355,

https://www.mdpi.com/2227-7390/12/21/3355,   IF: 2.3  (Q1)

14. F. Haiden. L. Katzarkov, C. Simpson, Spectral networks and stability conditions for Fukayacategories with coefficients, Comm. Math. Phys. 405 (2024), no. 11, Paper No. 264, 68 pp., https://link.springer.com/content/pdf/10.1007/s00220-024-05138-9.pdf, IF: 2.2  (Q1)

15. Yu-Wei Fan, Simion Filip, Fabian Haiden, Ludmil Katzarkov, Yijia Liu,
On pseudo-Anosov autoequivalences, Advances in Mathematics, Vol.
384, (2021), 107732.

https://doi.org/10.1016/j.aim.2021.107732, IF: 1.675 (Q1)

16. Ludmil Katzarkov, Pranav Pandit, Theodore Spaide, Calabi-Yau structures, sphericalfunctors, and shifted symplectic structures, Advances in Mathematics,
Vol. 392, (2021), 108037.

https://doi.org/10.1016/j.aim.2021.108037, IF: 1.675 (Q1)

17. Ludmil Katzarkov, Ernesto Lupercio, Laurent Meersseman, Alberto Verjovsky, Quantum(Non-Commutative) Toric Geometry: Foundations, Advances in Mathematics, Vol. 391, (2021), 107945.

https://doi.org/10.1016/j.aim.2021.107945, IF: 1.675 (Q1)

18. Stefan Ivanov, Ivan Minchev, Dimiter Vassilev, Solution of the Qc Yamabe Equation on a 3-Sasakian Manifold and the Quaternionic Heisenberg Group, Analysis & PDE, Vol. 16 (2023), No. 3, pp. 839–860, DOI: 10.2140/apde.2023.16.839,

https://msp.org/apde/2023/16-3/apde-v16-n3-p07-p.pdf, IF: 2.344 (Q1)

19. Stefan Ivanov, Hristo Manev, Mancho Manev, Para-Sasaki-like Riemannian manifolds andnew Einstein metrics, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (RACSAM) Vol. 115, 112 (2021).

https://doi.org/10.1007/s13398-021-01053-z, IF: 2.276 (Q1)

20. Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani, Shifted symplectic structures on derived Quot-stacks I – Differential graded manifolds –, Advances in Mathematics, Vol. 403 (2022), 108369.

https://doi.org/10.1016/j.aim.2022.108369, IF: 1.675 (Q1)

21. Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani, Shing-Tung Yau, Strictification andGluing of Lagrangian Distributions on Derived Schemes with Shifted Symplectic Forms, Advances in Mathematics, Vol. 438 (2024), 109477,

https://www.sciencedirect.com/science/article/pii/S0001870823006205, IF: 1.675 (Q1)

22. L. Katzarkov, K.-S. Lee, J. Svoboda, A. Petkov, Interpretations of Spectra, Springer Proc. Math. Stat., 409, Springer, Cham, 2023, 371–407. ISBN: 978-3-031-17858-0; 978-3-031-17859-7, https://doi.org/10.1007/978-3-031-17859-7_20, SJR (2023): 0.168

23. E. Beccera, L. Katzarkov, E.  Lupercio, Revisiting the Classical McKay Correspondence, Derived Equivalences and the Spectrum of Kleinian Surface Singularities: A Look Throughthe Mirror, Serdica Math. J. 50 (2024), 285304.

https://doi.org/10.55630/serdica.2024.50.285-304

24. L. Cavenaghi, L. Grama, L. Katzarkov, New look at Milnor Spheres, submitted to Publications mathématiques de l’IHÉS, preprint at arXiv:2404.19088v2, https://doi.org/10.48550/arXiv.2404.19088

25. S. Gukov, L. Katzarkov, J. Svoboda, Z^b for plumbed manifolds and splice diagrams, preprint at arXiv:2304.00699, https://doi.org/10.48550/arXiv.2304.00699, submitted

26. D. Borisov, L. Katzarkov, A. Sheshmani, S.-T. Yau, Global Shifted Potentials for Moduli Stacks of Sheaves оn Calabi-Yau Four-Folds, submitted to American Journal ofMathematics, preprint at arXiv:2007.13194v2, https://arxiv.org/abs/2007.13194

27. L. Katzarkov, K.-S. Lee, E. Lupercio, L. Meersseman, On Hodge Polynomials for Non-Algebraic Complex Manifolds, submitted to Proceedings of the National Academy of Sciences

28. L. Cavenaghy, L. Grama, L. Katzarkov, M. Kontsevich, A (Multiplicative) Blow-Up Formula for the Chen-Ruan Cohomology and Applications, preprint

29. L. Cavenaghy, L. Grama, L. Katzarkov, M. Kontsevich, Birational invariants from ncHodge theory, preprint

30. L. Cavenaghy, L. Grama, L. Katzarkov, M. Kontsevich, Atomic Contents and EquivariantBirational Geometry, in preparation

31. E. Becerra, L. Katzarkov, E. Lupercio, The Stringy Spectrum of an Orbifold, preprint

32. L. Cavenaghi, L. Grama, L. Katzarkov, A Gromov-Witten Approach to G-EquivariantBirational Invariants, arXiv:2405.07322v2, https://doi.org/10.48550/arXiv.2405.07322,submitted,

33. S. Ivanov, N. Stanchev, The Riemannian curvature identities of a G2 connection with skew-symmetric torsion and generalized Ricci solitons, arXiv:2307.05619, https://arxiv.org/abs/2307.05619, submitted

34. S. Ivanov, A. Petkov, The Riemannian curvature identities for the torsion connection onSpin(7)-manifold and generalized Ricci solitons, arXiv:2307.06438, https://arxiv.org/pdf/2307.06438, submitted

35. S. Ivanov, M. Tchomakova and S. Zamkovoy, Geometry of paraquaternionic contact structures, arXiv:2404.16713, https://arxiv.org/abs/2404.16713, submitted

36. S. Ivanov, A. Petkov, Li-Yau sub-gradient estimates and Perelman-type entropy formulas for the heat equation in quaternionic contact geometry, arXiv:2405.14845, https://arxiv.org/abs/2405.14845, submitted

37. Jiachang Xu, Faithful tropicalization and Skeleton of M_{0,}, arXiv:2301.04797, https://arxiv.org/abs/2301.04797, submitted

38. Morgan Brown, Jiachang Xu, Muyuan Zhang, On the structure of the complement of the skeleton, arXiv:2407.09036, https://arxiv.org/pdf/2407.09036, submitted

39. L. Katzarkov, K.-S. Lee, Vector bundles on elliptic surfaces and logarithmic transformations, preprint https://arxiv.org/pdf/2204.08927.pdf, submitted

40. Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani, Shing-Tung Yau, Global Shifted Potentials for Moduli Stacks of Sheaves on Calabi-Yau Four-Folds, preprint https://arxiv.org/abs/2007.13194v2,  submitted

41. Ilya Karzhemanov, Ludmil Katzarkov, Exceptional collections and phantoms of special Dolgachev surfaces, submitted to Advances in Mathematics, preprint available at arXiv:2310.13319v1, https://arxiv.org/abs/2310.13319