Papers and preprints
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Renormalization and Siegel disks for complex Hénon maps
(with D. Gaidashev, M. Yampolsky)
J. Eur. Math. Soc. 23 (2021), 1053-1073. arXiv:1604.07069
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Hedgehogs in higher dimensions and their applications
(with M. Lyubich, R. Tanase)
Astérisque 416 (2020), 213-251.
arXiv:1611.09840
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Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of $(\mathbb{C}^2,0)$
(with T. Firsova, M. Lyubich, R. Tanase),
Astérisque 416 (2020), 193-211.
arXiv:1611.09342
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A structure theorem for semi-parabolic Hénon maps
(with R. Tanase) Advances in Mathematics 350 (2019), 1000-1058.
arXiv:1411.3824
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Semi-parabolic tools for hyperbolic Hénon maps and continuity of Julia sets in $\mathbb{C}^2$
(with R. Tanase) Trans. Amer. Math. Soc. 370 (2018), 3949-3996. arXiv:1508.03625
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Hénon maps with biholomorphic escaping sets
(with S. Bonnot, R. Tanase) Complex Dynamics and its Synergies (2017) 3:3, DOI 10.1186/s40627-017-0010-9
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A new proof of a theorem of Hubbard and Oberste-Vorth
(with R. Tanase) Fixed Point Theory and Applications
(2016) 2016:43, DOI 10.1186/s13663-016-0528-1, arXiv:1511.03256
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A global model for the Julia set $J^+$, in preparation
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Critical locus in the HOV region
(with T. Firsova, R. Tanase), in preparation
Thesis
Topological models for hyperbolic and semi-parabolic complex Hénon maps, Cornell University, 2013
Selected talks and slides
- Workshop for Young Researchers in Mathematics (WYRM) 11th edition, 20 May 2022
- Conferinta Cercetarii Stiintifice din Academia Romana (CCSAR-2021),
Bucharest, Romania, November 22-23, 2021
- Dynamics and Computations Seminar, Uppsala University, Sweden, May 10, 2021
- Colloquium Talk IMAR Monthly Lecture, Bucharest, Romania, May 19, 2021
- Illustrating Dynamics and Probability workshop, ICERM, Providence, RI, November 10-15, 2019
- New Developments in Complex Analysis and Function Theory, University of Crete, Heraklion, July 2-6, 2018
- Dynamics, Number Theory and Analysis Seminar, University of Uppsala, May 18, 2018
- Mini-course on Hénon maps with a semi-neutral fixed point (joint with R. Tanase) at the
Workshop on Holomorphic Dynamics, Holbæk, Denmark, November 30 - December 3, 2017
- Workshop on New Frontiers in Complex Dynamics: From One to Several Variables, The Fields Institute, Toronto, July 17-21, 2017
- JMM-AMS Special Session on Ergodic Theory and Dynamical Systems, Atlanta, January 4-7, 2017
- New Trends in One-dimensional Dynamics, celebrating the 70th birthday of Welington de Melo, IMPA, Rio de Janeiro, November 14-18, 2016
- Dynamics Seminar, University of Uppsala, October 11, 2016
- Dynamics Seminar, University of Chicago, April 11, 2016
- Special session on Holomorphic Dynamics, AMS Sectional Meeting, Stony Brook, March 18-20, 2016
- 50th Spring Topology and Dynamical Systems Conference, Special Session in Dynamical Systems, Baylor University, TX, March 9-13, 2016
- Dynamics Seminar, University of Michigan, October 26, 2015
- Dynamics Seminar, University of Toronto, September 28, 2015
- Dynamical Developments: a conference in Complex Dynamics and Teichmuller theory,
in honor of the 70th birthday of John Hubbard, Bremen, Germany, August 17-20, 2015
- International Congress of Romanian Mathematicians, special session
on "Dynamics and Ergodic Theory", Iasi, Romania, June 26 - July 1, 2015
- Dynamics Seminar, Cornell University, April 17, 2015
- Dynamics Seminar, An Afternoon on Hénon Dynamical Systems, Imperial College London, March 12, 2015
- The International Congress of Mathematicians (ICM), special session on "Dynamical Systems and Ordinary
Differential Equations", short communication, Seoul, South Korea, August 13-21, 2014
- Sixth Iberoamerican Congress on Geometry, CUNY Graduate Center, May 20-24, 2014
- CMS Winter Meeting, special session on "Holomorphic Dynamics and Related Topics", Ottawa, Canada, December 6-8, 2013
- Joint International Meeting of the American Mathematical Society (AMS) and the Romanian Mathematical Society (RMS),
special session on "Complex Geometry and Dynamics", Alba Iulia, Romania, June 27-30, 2013
- Seminário de Sistemas Dinâmicos, University of São Paulo, Brazil, October 3, 2012
- Interactions between continuous and discrete holomorphic dynamical systems, Banff, Canada, July 8-13, 2012
- Analysis Seminar, Cornell University, February 13, 2011