Antti Kykkänen

Doctoral student, Inverse problems
Department of mathematics and statistics
University of Jyväskylä

Email: antti.k.kykkanen[at]jyu.fi

Google Scholar

Research interests: Geometric inverse problems, inverse problems on gas giants, inverse problems in non-smooth geometries.

During the spring 2024 I'm organizing a seminar series aimed at masters and graduate students at the University of Jyväskylä. See details.

Inverse Days 2023

Inverse Days 2023 at Sibeliustalo in Lahti.

Preprints

  • Geometric inverse problems on gas giants
    Maarten V. de Hoop, Joonas Ilmavirta, Antti Kykkänen, Rafe Mazzeo. Preprint: arXiv:2403.05475. March 2024
  • Microlocal analysis of the X-ray transform in non-smooth geometry
    Joonas Ilmavirta, Antti Kykkänen, Kelvin Lam. Preprint: arXiv:2309.12702. Sep 2023
  • Convergence in the space of compact labeled metric spaces
    Reijo Jaakkola, Antti Kykkänen. Preprint: arXiv:2210.00535. Oct 2022

Publications

  • Tensor tomography on negatively curved manifolds of low regularity
    Joonas Ilmavirta, Antti Kykkänen. Journal of Geometric Analysis, 2024 (To appear). Preprint: arXiv:2303.08208. Mar 2023

Selected Conference and Seminar Talks

  • Geometric Inverse Problems and Gas Giants (Invited)
    SIAM Conference on Imaging Science, 30.05.2024, Atlanta, Georgia, USA

  • Geometric inverse problems on gas giant planets
    Analysis seminar, 20.03.2024, University of Jyväskylä, Jyväskylä, Finland

  • Geometry of gas giant planets and inverse problems
    Geometry and Topology seminar, 07.02.2024, NC State, Raleigh, North Carolina, USA

  • On certain inverse problems in geometry (Invited)
    Young Researchers Session, Finnish Mathematical Days, 05.01.2024, Aalto University, Espoo, Finland

  • Geometry of giant gas planets and inverse problems (Invited)
    Inverse Problems Session, Finnish Mathematical Days, 04.01.2024, Aalto University, Espoo, Finland

  • Geometry of giant gas planets
    Inverse days, 15.12.2023, Sibelius Talo, Lahti, Finland

  • Inverse Problems - Mathematics of indirect measurement
    Business Networking Day at University of Jyväskylä, 2.11.2023, Paviljonki, Jyväskylä, Finland

  • Geometry of giant gas planets
    Geo-mathematical imaging group seminar, 13.10.2023, Rice University, Houston, USA

  • Geodesic X-ray tomography on manifolds of low regularity (Invited)
    Applied Inverse Problems, Geomathematics minisymposium, 8.9.2023, University of Göttingen, Göttingen, Germany

  • Labeled Gromov-Hausdorff distance
    Seminar for young researchers, 21.9.2022, University of Jyväskylä, Jyväskylä, Finland

  • Pestov identities and X-ray tomography on non-smooth Riemannian manifolds
    Poster: Inverse Problems in Analysis and Geometry, 2.8.2022, University of Helsinki, Helsinki, Finland

  • X-ray tomography in smooth and rough geometries
    Inverse Problems Seminar, 2.6.2022, University of Jyväskylä, Jyväskylä, Finland

  • Pestov identities and X-ray tomography on manifolds with non-smooth Riemannian metrics
    Inverse Days, 15.12.2021, Tampere University, Tampere, Finland

  • Geometriset inversio-ongelmat
    Integraatiofest, 13.11.2021, University of Helsinki, Helsinki, Finland

Academic Work Experience

  • Jan 2022 - : PhD student, Department of Mathematics and Statistics, University of Jyväskylä

  • Apr 2021 - May 2022: Non-Military Service, Department of Mathematics and Statistics, University of Helsinki

  • Sep 2020 - Mar 2021: Project Researcher, Faculty of Information Technology and Communication Sciences, Tampere University

  • Jan 2017 - Aug 2020: Consists of multiple part-time periods: Research Assistant, Faculty of Information Technology and Communication Sciences, Tampere University

Teaching and Similar

  • Organizer: Seminar for graduate and undergraduate students at the University of Jyväskylä, Sep 2022 - : Website for Fall 2024

  • Substitute Teacher: Multivariable Integral Calculus, Tampere University, 2020.

  • Organizer: Workshops for Mathematics students, Tampere University 2017 - 2020: Assisting students with their course work.

  • Teacher's Assistant: Numerous undergraduate and masters level courses at Tampere University, 2017 - 2021: Various topics including mathematical analysis, topology, linear algebra and probability.

  • Representing the department: Representing the department of mathematics and statistics at JYU at applicant's day 2022 and 2023.

Grants

  • 2022: Funding for doctoral studies awarded by the Finnish academy of science and letters (26000€).

Thesis