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| The University of Chicago |
| 5801 S Ellis Ave, |
| Chicago, IL 60637, USA |
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| Email: herakornelia at gmail.com |
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| 2019- |
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Dickson Instructor, The University of Chicago, Chicago, USA |
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| 2018-2019 |
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Assistant research fellow, Alfréd Rényi Institute of Mathematics, Budapest, Hungary |
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| 2015-2019 |
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PhD in Mathematics, Eötvös Loránd University, Budapest, Hungary |
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Supervisor: Tamás Keleti |
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PhD Dissertation: Hausdorff dimension of unions of affine subspaces and related questions
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| 2013-2015 |
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MSc in Mathematics, Eötvös Loránd University, Budapest, Hungary |
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Supervisor: Róbert Szőke |
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MSc Thesis: Bochner's tube theorem and its spherical version (in Hungarian) |
| 09/2013-02/2014 |
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Heidelberg University, Heidelberg, Germany |
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Exchange semester |
| 2010-2013 |
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BSc in Mathematics, Eötvös Loránd University, Budapest, Hungary |
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Supervisor: Miklós Laczkovich |
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BSc Thesis: Kakeya sets and related problems (in Hungarian) |
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Publications
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K. Héra, T. Keleti and A. Máthé:
A Fubini-type theorem for Hausdorff dimension,
arXiv:2106.09661.
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K. Héra, P. Shmerkin, A. Yavicoli:
An improved bound for the dimension of (α,2α)-Furstenberg sets,
Rev. Mat. Iberoam, in press (2020).
arXiv:2001.11304.
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K. Héra:
Hausdorff dimension of Furstenberg-type sets associated to families of affine subspaces,
Ann. Acad. Sci. Fenn. Math. 44, (2019), 903–923.
DOI,
arXiv:1809.04666.
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K. Héra, T. Keleti and A. Máthé:
Hausdorff dimension of unions of affine subspaces and of Furstenberg-type sets,
J. Fractal Geom. 6, (2019), 263-284.
DOI,
arXiv:1701.02299.
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A. Chang, M. Csörnyei, K. Héra and T. Keleti:
Small unions of affine subspaces and skeletons via Baire category,
Adv. Math. 328, (2018), 801-821.
DOI,
arXiv:1701.01405.
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M. Csörnyei, K. Héra, M. Laczkovich:
Closed sets with the Kakeya property,
Mathematika 63, (2017), 184-195.
DOI,
arXiv:1802.00286.
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K. Héra, M. Laczkovich:
The Kakeya problem for circular arcs,
Acta Mathematica Hungarica 150, (2016), 479–511.
DOI,
arXiv:1802.00290.
Conference talks
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Hausdorff dimension of unions of affine subspaces and related problems,
The Eighth Pacific Rim Conference in Mathematics, virtual, August 2020
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Hausdorff dimension of Furstenberg-type sets associated to families of affine subspaces,
Madison Lectures in Fourier Analysis, Madison, USA, May 2019
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Fubini-type results for Hausdorff dimension,
Fractal Geometry and Stochastics 6, Bad Herrenalb, Germany, October 2018
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Dimension of Furstenberg-type sets associated to families of affine subspaces,
Geometric Measure Theory and its Connections 2018, Helsinki, Finland, June 2018
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Hausdorff dimension of unions of subsets of affine subspaces,
Workshop on Fractals II, Jerusalem, Israel, August 2017
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Hausdorff dimension of union of affine subspaces,
Workshop on Geometric Measure Theory, University of Warwick, United Kingdom, July 2017
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The Kakeya-problem and related questions,
Swiss-Hungarian Science Workshop on Research Before the PhD, Lausanne, Switzerland,
November 2016
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Minimal Hausdorff dimension of the union of cube skeletons,
30th International summer conference on real functions theory, Stara Lesna, Slovakia, September 2016
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Sets containing the skeleton of a unit cube centered at every point of R^n,
Symposium in Real Analysis XL, Sarajevo, Bosnia and Herzegovina, June 2016
Meeting talks
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Background on Bernoulli convolutions
Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry, Oberwolfach, Germany, October 2017
Seminar talks
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Hausdorff dimension of unions of affine subspaces and related problems,
Ergodic Theory and Dynamical Systems Seminar, University of Bristol, virtual, November 2020
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Hausdorff dimension of Furstenberg-type sets,
The Second Mid-Atlantic Analysis Meeting, virtual, October 2020
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Hausdorff dimension of Furstenberg-type sets,
Virtual Harmonic Analysis Seminar, UK Harmonic Analysis group, virtual, October 2020
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Hausdorff dimension of unions of affine subspaces and related problems,
Calderon-Zygmund Analysis Seminar, The University of Chicago, virtual, October 2020
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Dimension of Furstenberg-type sets associated to families of affine subspaces,
Harmonic Analysis and Geometric Measure Theory Seminar, University of Buenos Aires, Argentina, April 2019
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Furstenberg-type estimates for unions of affine subspaces
Harmonic Analysis Seminar, University of British Columbia, Canada, January 2018
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Furstenberg-type estimates for unions of affine subspaces
Mittag-Leffler Institute, Research program on Fractal geometry and dynamics, Stockholm, Sweden, November 2017
Posters
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Minimal Hausdorff dimension of the union of cube skeletons,
Recent Developments in Harmonic Analysis, MSRI, Berkeley, USA, May 2017
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