Ljudmila Kamenova



Archives of the Mathematisches Forschungsinstitut Oberwolfach

Research Associate Professor in the Department of Mathematics, Stony Brook University

Office:
Department of Mathematics, Room 3-115
Stony Brook University
Stony Brook, NY 11794-3651
(631) 632-8262

E-mail : kamenova@math.stonybrook.edu


Interview for the Notices of the AMS, Vol. 65, No. 4 (2018) 416-417.


Travel and activities

visiting SCGP, August 2020 - August 2022, Stony Brook, NY

MPS Conference on Higher Dimensional Geometry, February 23-25, 2022, Simons Foundation, New York, NY

Deformation of Geometric Structures in Current Mathematics: A Celebration of the Works of Masatake Kuranishi, May 9 - 12, 2022, CMSA, Harvard University, Cambridge, MA

Geometric and Arithmetic Frontiers of Orbifolds: a focused introductory workshop, May 30 - June 3, 2022, UQAM, Montreal, Canada

visiting ICMS, Sofia, June 25 - July 2, 2022, Sofia, Bulgaria

2022 Simons Summer Workshop, July 25 - August 12, 2022, SCGP, Stony Brook, NY

MPS Conference on Higher Dimensional Geometry, August 22 - 26, 2022, SCGP, Stony Brook, NY

Birational Complexity of Algebraic Varieties, December 12 - 16, 2022, SCGP, Stony Brook, NY

co-organizing Program: Hyperkahler quotients, singularities, and quivers, January 2 - February 23, 2023, SCGP, Stony Brook, NY

co-organizing Workshop: Hyperkahler quotients, singularities, and quivers, January 30 - February 3, 2023, SCGP, Stony Brook, NY

  • Conferences organized


    Teaching

    Fall'22: Topics in Differential Geometry: K3 Surfaces and Hyperkaehler Manifolds MAT 644.

  • Past Teaching


    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 M. Verbitsky) Roundness of the ample cone and existence of double Lagrangian fibrations on hyperkahler manifolds, submitted (pdf), arXiv:2109.08088 [math.AG].

    2. (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].

    3. (with R. van Bommel and A. Javanpeykar) Boundedness in families with applications to arithmetic hyperbolicity, submitted (pdf), arXiv:1907.11225 [math.AG].

    4. (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].

    5. (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].

    6. (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].

    7. 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].

    8. (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].

    9. (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].

    10. Survey of finiteness results for hyperkaehler manifolds, Proceedings of miniPAGES, Banach Center Publications 116 (2018) 77-86, (pdf), arXiv:1607.03215 [math.AG].

    11. (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].

    12. (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].

    13. 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].

    14. (editor, with R. Donagi, M. Douglas, M. Rocek) String-Math 2013 , Proceedings of Symposia in Pure Mathematics, Volume 88, AMS (2014)

    15. (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].

    16. (with Misha Verbitsky) Families of Lagrangian fibrations on hyperkähler manifolds, Adv. Math. 260 (2014) 401-413 (pdf), arXiv:1208.4626 [math.AG].

    17. Hyper-Kaehler Fourfolds Fibered by Elliptic Products, Epijournal de Geometrie Algebrique, Vol. 2 (2018), Article Nr. 7 (pdf), arXiv:1208.3778 [math.AG].

    18. Hyper-Kaehler Fibrations and Hilbert Schemes, PhD Thesis (2006) (pdf), MIT Library.

    19. Complex structures on ruled surfaces, Proc. of the 30-th Spring Conf. of UBM, Borovets, April 8-11, 2001, p.163-168 (2001) (pdf).


    Personal

  • Family

  • Badminton

  • Aikido

  • Erdös Number: 4