Ljudmila Kamenova

Teaching

Spring'23: Topology, Geometry II, MAT 531.

Publications

I work in the field of complex differential geometry, in particular on hyperkähler manifolds and on Kobayashi and algebraic hyperbolicity questions. Here is my CV.

Partially supported by a grant from the Simons Foundation/SFARI (522730, LK) 2017-2024.

1. (with C. Lehn) Non-hyperbolicity of holomorphic symplectic varieties, submitted (pdf), arXiv:2212.11411 [math.AG].
   
   
2. (with M. Verbitsky) Roundness of the ample cone and existence of double Lagrangian fibrations on hyperkahler manifolds, submitted (pdf), arXiv:2109.08088 [math.AG].
   
   
3. (with C. Vafa) Kobayashi non-hyperbolicity of Calabi-Yau manifolds via mirror symmetry (pdf), Commun. Math. Phys. 378 (2020) 329-334 arXiv:1908.08573 [math.DG].
   
   
4. (with R. van Bommel and A. Javanpeykar) Boundedness in families with applications to arithmetic hyperbolicity, submitted (pdf), arXiv:1907.11225 [math.AG].
   
   
5. (with M. Verbitsky) Holomorphic Lagrangian subvarieties in holomorphic symplectic manifolds with Lagrangian fibrations and special Kahler geometry, European Journal of Mathematics 8 (2022) 514-522, (pdf), arXiv:1902.05497 [math.DG].
   
   
6. (with G. Mongardi and A. Oblomkov) Symplectic involutions of K3[n] type and Kummer n type manifolds, Bull. London Math. Soc. 54 (2022) 894-909, (pdf), arXiv:1809.02810 [math.AG].
   
   
7. (with A. Javanpeykar) Demailly's notion of algebraic hyperbolicity: geometricity, boundedness, moduli of maps, Math. Zeit. 296 (2020) 1645-1672, (pdf), arXiv:1807.03665 [math.AG].
   
   
8. Twistor spaces and compact manifolds admitting both Kaehler and non-Kaehler structures, J. Geom. Symm. Phys. 46 (2017) 25-35 (pdf), arXiv:1711.07948 [math.DG].
   
   
9. (with F. Bogomolov and M. Verbitsky) Algebraically hyperbolic manifolds have finite automorphism groups, Commun. Contemp. Math. 22 (2020) No. 2, 1950003, 10 pp. (pdf), arXiv:1709.09774 [math.AG].
   
   
10. (with M. Verbitsky) Pullbacks of hyperplane sections for Lagrangian fibrations are primitive, Commun. Contemp. Math. 21 (2019) No. 8, 1850065, 7 pp. (pdf), arXiv:1612.07378 [math.AG].
    
    
11. Survey of finiteness results for hyperkaehler manifolds, Proceedings of miniPAGES, Banach Center Publications 116 (2018) 77-86, (pdf), arXiv:1607.03215 [math.AG].
    
    
12. (with M. Verbitsky) Algebraic non-hyperbolicity of hyperkaehler manifolds with Picard rank greater than one, NYJM 23 (2017) 489-495, (pdf), arXiv:1604.02601 [math.AG].
    
    
13. (with F. Bogomolov, S. Lu and M. Verbitsky) On the Kobayashi pseudometric, complex automorphisms and hyperkaehler manifolds, "Geometry over nonclosed fields - Simons Symposium 2015", Springer-Verlag (2017) 1-17 (pdf), arXiv:1601.04333 [math.AG].
    
    
14. Finiteness of Lagrangian fibrations with fixed invariants, C. R. Acad. Sci. Paris 354, Ser. I, No. 7 (2016) 707-711 (pdf), arXiv:1509.01897 [math.AG].
    
    
15. (editor, with R. Donagi, M. Douglas, M. Rocek) String-Math 2013 , Proceedings of Symposia in Pure Mathematics, Volume 88, AMS (2014)
    
    
16. (with Steven Lu and Misha Verbitsky) Kobayashi pseudometric on hyperkähler manifolds, J. Lond. Math. Soc. (2014) 90(2): 436-450 (pdf), arXiv:1308.5667 [math.AG].
    
    
17. (with Misha Verbitsky) Families of Lagrangian fibrations on hyperkähler manifolds, Adv. Math. 260 (2014) 401-413 (pdf), arXiv:1208.4626 [math.AG].
    
    
18. Hyper-Kaehler Fourfolds Fibered by Elliptic Products, Epijournal de Geometrie Algebrique, Vol. 2 (2018), Article Nr. 7 (pdf), arXiv:1208.3778 [math.AG].
    
    
19. Hyper-Kaehler Fibrations and Hilbert Schemes, PhD Thesis (2006) (pdf), MIT Library.
    
    
20. Complex structures on ruled surfaces, Proc. of the 30-th Spring Conf. of UBM, Borovets, April 8-11, 2001, p.163-168 (2001) (pdf).

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