# Antti Kykkänen

Doctoral student, Inverse problems

Department of mathematics and statistics

University of Jyväskylä

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

**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 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

**Pestov identities and X-ray tomography on manifolds of low regularity**

Joonas Ilmavirta, Antti Kykkänen.

Inverse problems and imaging, 2023, Volume 17, Issue 6: 1301-1328.

Preprint: arXiv:2112.05523.

## 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

**Master's thesis, 2020:**(Finnish).

Äärellisesti määrättyjen modulien homologista algebraa

Title in English: Homological algebra of finitely determined modules.