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.

On hyperkaehler geometry - written for the SCGP, Fall 2023.

Travel and activities

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

Komplexe Analysis - Differential and Algebraic methods in Kähler spaces, April 9 - 14, 2023, Oberwolfach, Germany

Supergravity, Generalized Geometry and Ricci Flow, April 17 - 21, 2023, SCGP, Stony Brook, NY

Homological Mirror Symmetry, April 25 - 28, 2023, SCGP, Stony Brook, NY

Western Hemisphere Virtual Symplectic Seminar, June 9, 2023, WHVSS

2023 Simons Physics Summer Workshop -- Celebrating 20 Years, June 26 - July 21, 2023, SCGP, Stony Brook, NY

2023 Simons Math Summer Workshop, August 7 - 25, 2023, SCGP, Stony Brook, NY

leader of a group in Women in Mathematical Physics II, August 13 - 18, 2023, BIRS, Banff, Canada (participating remotely)

Birationality in complex and symplectic geometries, September 25 - 29, 2023, CIRGET/ UQAM, Canada

Complex Lagrangians, Mirror Symmetry, and Quantization, October 15 - 20, 2023, BIRS, Banff, Canada

Conference: General Geometries and Gauge Theory, December 11 - 16, 2023, University of Miami, Coral Gables, FL

Singularity theory and hyperbolicity, March 18 - 22, 2024, Newtwon Institute, Cambridge, UK

Moduli Spaces and Singularities, May 20 - 24, 2024, CRM, Montreal, Canada

  • Conferences organized

    Teaching

    Fall'23: Linear Algebra, MAT 310.

  • 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 G. Mongardi and A. Oblomkov) Erratum: Symplectic involutions of K3[n] type and Kummer n type manifolds, submitted, (pdf), here is the original paper: arXiv:1809.02810 [math.AG].

    2. (with G. Mongardi and A. Oblomkov) Fixed loci of symplectic authomorphisms of K3[n] and n-Kummer type manifolds, submitted, arXiv:2308.14692 [math.AG].

    3. Finiteness of stable Lagrangian fibrations, to appear in Sao Paolo Journal of Mathematical Sciences, arXiv:2308.05844 [math.AG].

    4. (with C. Lehn) Non-hyperbolicity of holomorphic symplectic varieties, submitted (pdf), arXiv:2212.11411 [math.AG].

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

    6. (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].

    7. (with R. van Bommel and A. Javanpeykar) Boundedness in families with applications to arithmetic hyperbolicity, to appear in the Journal of London Math. Soc. (pdf), arXiv:1907.11225 [math.AG].

    8. (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].

    9. (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].

    10. (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].

    11. 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].

    12. (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].

    13. (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].

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

    15. (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].

    16. (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].

    17. 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].

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

    19. (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].

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

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

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

    23. 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