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 IMPA, January 5 - 11, 2020, Rio de Janeiro, Brazil

Varieties with Trivial Canonical Class, April 6 - 10, 2020, CIRM, Luminy, France (online)

Komplexe Analysis - Algebraicity and Transcendence, August 16 - 22, 2020, MFO, Oberwolfach, Germany (online)

leader of a research group at Women in Mathematical Physics, September 20 - 25, 2020, BIRS, Banff, Canada (online)

K-stability, September 28 - October 2, 2020, SCGP, Stony Brook, NY (online)

Stability in mirror symmetry, December 7 - 11, 2020, AIM, San Jose, CA (online)

online seminar talk at UCSD, February 12, 2021, UCSD Algebraic Geometry Seminar

online seminar talk at IMI/BAS, March 12, 2021, IMI/BAS Seminar of Algebra and Logic

online seminar talk at SCGP, April 22, 2021, SCGP Weekly Meeting in Math

speaker at the undergraduate event Panorama of Geometry and Topology, April 24, 2021, University of Iowa (online)

online seminar talk at University of Iowa, April 27, 2021, Differential Geometry Seminar

Simons Summer Workshop: Strings and Geometry, July 12 - August 6, 2021, SCGP, Stony Brook, NY (in person)

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

  • Conferences organized


    Teaching

    Fall'21: Applied Real Analysis, MAT 341.

  • Past Teaching


    Putnam

    If you are a Stony Brook undergraduate student and if you would like to participate in the 2019 Putnam competition, please send me an e-mail. Note that you may not participate in it more than four times. In 2012/13 the SBU team placed 4th out of 402 teams! In 2014/15 the SBU team placed 13th out of 431 teams.

    Prof. Robert Hough is organizing a Putnam seminar this Fall (2019).


    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) 2017-2022.

    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 (2021) (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. (2021) (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

  • Bridge

  • Badminton

  • Aikido

  • Erdös Number: 4