Archives of the Mathematisches Forschungsinstitut Oberwolfach

Research Associate Professor in the
Department of Mathematics, Stony Brook University
Office:
Department of Mathematics, Room 3115
Stony Brook University
Stony Brook, NY 117943651
(631) 6328262
Email : kamenova@math.stonybrook.edu
Interview for the Notices of the AMS, Vol. 65, No. 4 (2018) 416417.
Travel and activities
plenary speaker at 8th ENYGMMa,
May 3, 2024, Graduate Center  CUNY, NYC, NY
IMSAC Days in Sofia,
August 8  10, 2024, Institute of Mathematics and Informatics, Bulgarian
Academy of Sciences, Sofia, Bulgaria
Conferences organized
Teaching
Fall'24: Topology, Geometry I, MAT 530.
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)
20172024.
 (with F. Bogomolov and M. Verbitsky)
Sections of Lagrangian fibrations on holomorphic symplectic manifolds,
arXiv:2407.07877 [math.AG].
 (with Y. Dutta, E.Izadi and L. Marquand)
Some density results for hyperkaehler manifolds,
arXiv:2403.04868 [math.AG].
 (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].
 (with G. Mongardi and A. Oblomkov)
Fixed loci of symplectic authomorphisms of K3[n] and nKummer type manifolds,
submitted,
arXiv:2308.14692 [math.AG].
 Finiteness of stable Lagrangian fibrations,
Sao Paulo J. Math. Sci. (2023) ,
arXiv:2308.05844 [math.AG].
 (with C. Lehn) Nonhyperbolicity of holomorphic symplectic varieties,
submitted (pdf),
arXiv:2212.11411 [math.AG].
 (with M. Verbitsky)
Roundness of the ample cone and existence of double Lagrangian fibrations
on hyperkahler manifolds, Kyoto J. Math. (2024)
(pdf),
arXiv:2109.08088 [math.AG].
 (with C. Vafa) Kobayashi nonhyperbolicity of CalabiYau manifolds via
mirror symmetry (pdf),
Commun. Math. Phys. 378 (2020) 329334
arXiv:1908.08573 [math.DG].
 (with R. van Bommel and A. Javanpeykar)
Boundedness in families with applications to arithmetic hyperbolicity,
Journal of the London Math. Soc. (2024),
(pdf),
arXiv:1907.11225 [math.AG].
 (with M. Verbitsky)
Holomorphic Lagrangian subvarieties in holomorphic symplectic manifolds
with Lagrangian fibrations and special Kahler geometry,
European Journal of Mathematics 8 (2022) 514522,
(pdf),
arXiv:1902.05497 [math.DG].
 (with G. Mongardi and A. Oblomkov)
Symplectic involutions of K3[n] type and Kummer n type manifolds,
Bull. London Math. Soc. 54
(2022) 894909, (pdf),
arXiv:1809.02810 [math.AG].
 (with A. Javanpeykar)
Demailly's notion of algebraic hyperbolicity: geometricity, boundedness,
moduli of maps, Math. Zeit. 296 (2020) 16451672,
(pdf),
arXiv:1807.03665 [math.AG].
 Twistor spaces and compact manifolds admitting both Kaehler and
nonKaehler structures,
J. Geom.
Symm. Phys.
46 (2017) 2535 (pdf),
arXiv:1711.07948 [math.DG].
 (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].
 (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].
 Survey of finiteness results for hyperkaehler manifolds,
Proceedings of miniPAGES, Banach Center Publications
116
(2018) 7786,
(pdf),
arXiv:1607.03215 [math.AG].
 (with M. Verbitsky) Algebraic nonhyperbolicity of hyperkaehler
manifolds with Picard rank greater than one,
NYJM 23 (2017) 489495,
(pdf),
arXiv:1604.02601 [math.AG].
 (with F. Bogomolov, S. Lu and M. Verbitsky) On the Kobayashi
pseudometric, complex automorphisms and hyperkaehler manifolds,
"Geometry over
nonclosed fields  Simons Symposium 2015", SpringerVerlag (2017) 117
(pdf),
arXiv:1601.04333 [math.AG].
 Finiteness of Lagrangian fibrations with fixed invariants,
C. R. Acad. Sci. Paris 354, Ser. I, No. 7 (2016)
707711
(pdf),
arXiv:1509.01897 [math.AG].
 (editor, with R. Donagi, M. Douglas, M. Rocek)
StringMath 2013 ,
Proceedings of Symposia in Pure Mathematics, Volume 88, AMS (2014)
 (with Steven Lu and Misha Verbitsky) Kobayashi pseudometric on
hyperkähler manifolds, J. Lond. Math. Soc. (2014) 90(2):
436450
(pdf),
arXiv:1308.5667 [math.AG].
 (with Misha Verbitsky) Families of Lagrangian fibrations on
hyperkähler manifolds, Adv. Math. 260 (2014) 401413
(pdf),
arXiv:1208.4626 [math.AG].
 HyperKaehler Fourfolds Fibered by Elliptic Products,
Epijournal de Geometrie Algebrique, Vol. 2 (2018),
Article Nr. 7
(pdf),
arXiv:1208.3778 [math.AG].
 HyperKaehler Fibrations and Hilbert Schemes, PhD Thesis (2006)
(pdf),
MIT Library.
 Complex structures on ruled surfaces, Proc. of the 30th
Spring Conf. of UBM, Borovets, April 811, 2001, p.163168 (2001)
(pdf).
Personal
Family
Bridge
Badminton
Aikido
Erdös Number: 4