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Accepted manuscript or preprint versions of the articles may be found below in pdf form. The final versions appear in the indicated journals.
Submitted articles
 (with S. Sahoo) The linearized Calderón problem for polyharmonic operators. pdf
 (with H. Schlüter) Jacobian of solutions to the conductivity equation in limited view. pdf
 (with S. Ma and S. Sahoo) The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform. pdf
 (with P.Z. Kow, S. Larson and H. Shahgholian) Quadrature domains for the Helmholtz equation with applications to nonscattering phenomena. pdf
 (with M. Lassas, L. Oksanen and A. Tetlow) Inverse problems for nonlinear Schrödinger equations with timedependent coefficients. pdf
 (with S. Ma and L. Potenciano) Fixed angle inverse scattering for sound speeds close to constant. pdf
 The Calderón problem and normal forms. pdf
Monographs
 (with G. Paternain and G. Uhlmann) Geometric inverse problems, with emphasis on two dimensions.
Monograph to be published by Cambridge University Press. This version is free to view and download for personal use only. pdf
Articles in refereed scientific journals
 (with L. Oksanen, P. Stefanov and G. Uhlmann) Inverse problems for real principal type operators.
Amer. J. Math. (to appear). pdf
 (with G. Paternain) The nonAbelian Xray transform on surfaces.
J. Diff. Geom. (to appear). pdf
 (with G. Paternain) Carleman estimates for geodesic Xray transforms.
Ann. Sci. Éc. Norm. Supér. (to appear). pdf
 (with L. Tzou) Inverse problems for semilinear elliptic PDE with measurements at a single point.
Proc. AMS (to appear). pdf
 (with M. Lassas and T. Liimatainen) The Calderón problem for the conformal Laplacian.
Comm. Anal. Geom. (to appear). pdf
 (with S. Lu and B. Xu) Increasing stability in the linearized inverse Schrödinger potential problem with power type nonlinearities.
Inverse Problems 38 (2022), no. 6, 065009. pdf
 (with K. Krupchyk and T. Liimatainen) Linearized Calderón problem and exponentially accurate quasimodes for analytic manifolds.
Adv. Math. 403 (2022), 108362. pdf
 (with S. Ma) Fixed angle inverse scattering in the presence of a Riemannian metric.
J. Inverse Illposed Probl. 30 (2022), no, 4, 495520. pdf
 (with T. Liimatainen, Y.H. Lin and T. Tyni) Inverse problems for elliptic equations with fractional power type nonlinearities.
J. Diff. Eq. 306 (2022), 189219. pdf
 (with H. Koch and A. Rüland) On instability mechanisms for inverse problems.
Ars Inveniendi Analytica (2021), no. 7, 93 pp. pdf
 (with H. Shahgholian) Free boundary methods and nonscattering phenomena.
Res. Math. Sci. 8 (2021), special issue "Transmission eigenvalues and related spectral problems in scattering theory", 58. pdf
 (with C. Meroño and L. Potenciano) The fixed angle scattering problem with a first order perturbation.
Ann. Henri Poincaré 22 (2021), 36993746. pdf
 (with G. Paternain) A sharp stability estimate for tensor tomography in nonpositive curvature.
Math. Z. 298 (2021), 13231344. pdf
 (with M. Lassas, T. Liimatainen and Y.H. Lin) Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations.
Rev. Mat. Iberoamericana 37 (2021), no. 4, 15531580. pdf
 (with M. Lassas, T. Liimatainen and Y.H. Lin) Inverse problems for elliptic equations with power type nonlinearities.
J. Math. Pures Appl. 145 (2021), 4482. pdf
 (with Rakesh) Fixed angle inverse scattering for almost symmetric or controlled perturbations.
SIAM J. Math. Anal. 52 (2020), no. 6, 54675499. pdf
 (with D. Dos Santos Ferreira, Y. Kurylev, M. Lassas and T. Liimatainen) The linearized Calderón problem in transversally anisotropic geometries.
Int. Math. Res. Not. (2020), no. 22, 87298765. pdf
 (with P. Angulo, D. Faraco and L. Guijarro) Limiting Carleman weights and conformally transversally anisotropic manifolds.
Trans. Amer. Math. Soc. 373 (2020), 51715197. pdf
 Applications of microlocal analysis in inverse problems.
Mathematics 8 (2020), no. 7, 1184. pdf
 (with T. Ghosh, A. Rüland and G. Uhlmann) Uniqueness and reconstruction for the fractional Calderón problem with a single measurement.
J. Funct. Anal. 279 (2020), no. 1, 108505. pdf
 (with Rakesh) The fixed angle scattering problem and wave equation inverse problems with two measurements.
Inverse Problems 36 (2020), 035005. pdf
 (with T. Ghosh and G. Uhlmann) The Calderón problem for the fractional Schrödinger equation.
Analysis & PDE 13 (2020), no. 2, 455475. pdf
 (with C. Meroño and L. Potenciano) Resolvent estimates for the magnetic Schrödinger operator in dimension n ≥ 2.
Rev. Math. Complutense 33 (2020), 619641. pdf
 (with M. Lassas and T. Liimatainen) The Poisson embedding approach to the Calderón problem.
Math. Annalen 377 (2020), 1967. pdf
 (with A. Rüland) The fractional Calderón problem: low regularity and stability.
Nonlinear Analysis 193 (2020), special issue "Nonlocal and Fractional Phenomena", 111529. pdf
 (with A. Rüland) Quantitative approximation properties for the fractional heat equation.
Math. Control Relat. Fields 10 (2020), no. 1, 126. pdf
 (with J. Ilmavirta and J. Lehtonen) Geodesic Xray tomography for piecewise constant functions on nontrapping manifolds.
Math. Proc. Cambridge Philos. Soc. 168 (2020), no. 1, 2941. pdf
 (with G. Paternain, G. Uhlmann and H. Zhou) The geodesic Xray transform with matrix weights.
Amer. J. Math. 141 (2019), 17071750. pdf
 (with B. Harrach and V. Pohjola) Dimension bounds in monotonicity methods for the Helmholtz equation.
SIAM J. Math. Anal. 51 (2019), no. 4, 29953019. pdf
 (with C. Guillarmou and L. Tzou) The linearized Calderón problem on complex manifolds.
Acta Math. Sinica 35 (2019), special issue in honor of Carlos Kenig, no. 6, 10431056. pdf
 (with A. Rüland) Quantitative Runge approximation and inverse problems.
Int. Math. Res. Not. (2019), no. 20, 62166234. pdf
 (with B. Harrach and V. Pohjola) Monotonicity and local uniqueness for the Helmholtz equation.
Analysis & PDE 12 (2019), no. 7, 17411771. pdf
 (with A. Rüland) Exponential instability in the fractional Calderón problem.
Inverse Problems 34 (2018), no. 4, 045003. pdf
 (with T. Brander, B. Harrach and M. Kar) Monotonicity and enclosure methods for the pLaplace equation.
SIAM J. Appl. Math. 78 (2018), no. 2, 742758. pdf
 (with J. Lehtonen and J. Railo) Tensor tomography on CartanHadamard manifolds.
Inverse Problems 34 (2018), special issue: 100 years of the Radon transform, no. 4, 044004. pdf
 (with F. Chung, P. Ola and L. Tzou) Partial data inverse problems for Maxwell equations via Carleman estimates.
Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 3, 605624. pdf
 (with L. Päivärinta and E. Vesalainen) Strictly convex corners scatter.
Rev. Mat. Iberoamericana 33 (2017), no. 4, 13691396. pdf
 (with V. Julin and T. Liimatainen) pharmonic coordinates for Hölder metrics and applications.
Comm. Anal. Geom. 25 (2017), no. 2, 395430. pdf
 (with F. Chung and L. Tzou) Partial data inverse problems for the Hodge Laplacian.
Analysis & PDE 10 (2017), no. 1, 4393. pdf
 (with C. Guo and M. Kar) Inverse problems for pLaplace type equations under monotonicity assumptions.
RIMUT 48 (2016), special issue in honor of Giovanni Alessandrini, 7999. pdf
 (with D. Dos Santos Ferreira, Y. Kurylev and M. Lassas) The Calderón problem in transversally anisotropic geometries.
J. Eur. Math. Soc. 18 (2016), no. 11, 25792626. pdf
 (with T. Liimatainen) Local gauge conditions for ellipticity in conformal geometry.
Int. Math. Res. Not. (2016), no. 13, 40584077. pdf
 (with J. Ilmavirta) Broken ray transform on a Riemann surface with a convex obstacle.
Comm. Anal. Geom. 24 (2016), no. 2, 379408. pdf
 (with C. Guillarmou, G. Paternain and G. Uhlmann) The Xray transform for connections in negative curvature.
Comm. Math. Phys. 343 (2016), no. 1, 83127. pdf
 (with G. Hu and E. Vesalainen) Shape identification in inverse medium scattering problems with a single farfield pattern.
SIAM J. Math. Anal. 48 (2016), no. 1, 152165. pdf
 (with G. Paternain and G. Uhlmann) Invariant distributions, Beurling transforms and tensor tomography in higher dimensions.
Math. Ann. 363 (2015), no. 1, 305362. pdf
 (with T. Brander and M. Kar) Enclosure method for the pLaplace equation.
Inverse Problems 31 (2015), 045001. pdf
 (with M. Lassas and L. Tzou) Inverse problems and invisibility cloaking for FEM models and resistor networks.
Math. Models Methods Appl. Sci. 25 (2015), no. 2, 309342. pdf
 (with G. Paternain and G. Uhlmann) On the range of the attenuated ray transform for unitary connections.
Int. Math. Res. Not. (2015), no. 4, 873897. pdf
 (with P. Caro) Stability of the Calderón problem in admissible geometries.
Inverse Probl. Imaging 8 (2014), no. 4, 939957. pdf
 (with T. Liimatainen) nharmonic coordinates and the regularity of conformal mappings.
Math. Res. Lett. 21 (2014), no. 2, 341361. pdf
 (with G. Paternain and G. Uhlmann) Spectral rigidity and invariant distributions on Anosov surfaces.
J. Diff. Geom. 98 (2014), no. 1, 147181. pdf
 (with C. Kenig) Recent progress in the Calderón problem with partial data.
Contemp. Math. 615 (2014), 193222. pdf
 (with G. Paternain and G. Uhlmann) Tensor tomography: progress and challenges.
Chinese Ann. Math. Ser. B 35 (2014), no. 3, 399428. pdf
 (with D. Dos Santos Ferreira and C. Kenig) On L^p resolvent estimates for LaplaceBeltrami operators on compact manifolds.
Forum Math. 26 (2014), no. 3, 815849. pdf
 (with C. Kenig) The Calderón problem with partial data on manifolds and applications.
Analysis & PDE 6 (2013), no. 8, 20032048. pdf
 (with G. Paternain and G. Uhlmann) Tensor tomography on surfaces.
Invent. Math. 193 (2013), no. 1, 229247. pdf
 (with D. Dos Santos Ferreira and C. Kenig) Determining an unbounded potential from Cauchy data in admissible geometries.
Comm. PDE 38 (2013), no. 1, 5068. pdf
 (with J. Chen, G. Zhao, E. Rahtu and M. Pietikäinen) Automatic dynamic texture segmentation using local descriptors and optical flow.
IEEE Trans. Image Processing 22 (2013), no. 1, 326339. pdf
 (with G. Paternain and G. Uhlmann) The attenuated ray transform for connections and Higgs fields.
Geom. Funct. Anal. 22 (2012), no. 5, 14601489. pdf
 (with T. Liimatainen) Nowhere conformally homogeneous manifolds and limiting Carleman weights.
Inverse Probl. Imaging 6 (2012), no. 3, 523530. pdf
 (with X. Zhong) An inverse problem for the pLaplacian: boundary determination.
SIAM J. Math. Anal. 44 (2012), no. 4, 24742495. pdf
 (with C. Kenig and G. Uhlmann) Reconstructions from boundary measurements on admissible manifolds.
Inverse Probl. Imaging 5 (2011), no. 4, 859877. pdf
 (with G. Uhlmann) The attenuated ray transform on simple surfaces.
J. Diff. Geom. 88 (2011), no. 1, 161187. pdf
 (with C. Guillarmou and L. Tzou) Inverse scattering at fixed energy on surfaces with Euclidean ends.
Comm. Math. Phys. 303 (2011), no. 3, 761784. pdf
 (with C. Kenig and G. Uhlmann) Inverse problems for the anisotropic Maxwell equations.
Duke Math. J. 157 (2011), no. 2, 369419. pdf
 (with L. Päivärinta and G. Uhlmann) Inverse scattering for the magnetic Schrödinger operator.
J. Funct. Anal. 259 (2010), no. 7, 17711798. pdf
 (with V. Brytik and M. de Hoop) Sensitivity analysis of waveequation tomography: a multiscale approach.
J. Fourier Anal. Appl. 16 (2010), no. 4, 544589. pdf
 (with L. Tzou) Inverse problems with partial data for a Dirac system: a Carleman estimate approach.
Adv. Math. 225 (2010), no. 1, p. 487513. pdf
 (with P. Caro and P. Ola) Inverse boundary value problem for Maxwell equations with local data.
Comm. PDE 34 (2009), no. 11, p. 14251464. pdf
 (with D. Dos Santos Ferreira, C. Kenig, and G. Uhlmann) Limiting Carleman weights and anisotropic inverse problems.
Invent. Math. 178 (2009), no. 1, p. 119171. pdf
 (with L. Tzou) Carleman estimates and inverse problems for Dirac operators.
Math. Ann. 344 (2009), no. 1, p. 161184. pdf
 Stability for solutions of wave equations with C^{1,1} coefficients.
Inverse Probl. Imaging 1 (2007), no. 3, p. 537556. pdf
 (with K. Knudsen) Determining nonsmooth first order terms from partial boundary measurements.
Inverse Probl. Imaging 1 (2007), no. 2, p. 349369. pdf
 Semiclassical pseudodifferential calculus and the reconstruction of a magnetic field.
Comm. PDE 31 (2006), no. 11, p. 16391666. pdf
 (with J.N. Wang) Complex spherical waves and inverse problems in unbounded domains.
Inverse Problems 22 (2006), no. 6, p. 22992309. pdf
 (with E. Rahtu and J. Heikkilä) A new convexity measure based on a probabilistic interpretation of images.
IEEE Trans. Pattern Analysis and Machine Intelligence 28 (2006), no. 9, p. 15011512. pdf
 (with R. Brown) Identifiability at the boundary for firstorder terms.
Appl. Anal. 85 (2006), no. 67, p. 735749. pdf
 (with E. Rahtu and J. Heikkilä) Affine invariant pattern recognition using Multiscale Autoconvolution.
IEEE Trans. Pattern Analysis and Machine Intelligence 27 (2005), no. 6, p. 908918. pdf
 Inverse problems for nonsmooth first order perturbations of the Laplacian.
Ann. Acad. Sci. Fenn. Math. Diss. 139 (2004), 67 pp. pdf
Articles in other scientific journals
 Rungen lause ja sovelluksia inversioongelmiin. (in Finnish)
Arkhimedes 3 (2018). pdf
 On the work of Joonas Ilmavirta. (translated in Polish)
Wiadomosci Matematyczne, to appear. pdf
 Konformigeometrian mittaehtoja. (in Finnish)
Suomalaisen Tiedeakatemian vuosikirja (2015). pdf
 Matka maapallon keskipisteeseen  sädemuunnosten matematiikkaa. (in Finnish)
Arkhimedes 12 (2014), p. 1218. pdf
 Ihmisen uudet silmät  käänteisten ongelmien matematiikkaa. (in Finnish)
Solmu 3 (2011), p. 2830. pdf
 Inversioongelmat  matematiikkaa ja sen sovelluksia. (in Finnish)
Arkhimedes 5 (2006), p. 2025. pdf
Chapters in books and other compilations
 Distributions and Fourier transform.
Chapter in Encyclopedia of Applied and Computational Mathematics (edited by B. Engquist), SpringerVerlag, 2015. pdf
 The Calderón problem on Riemannian manifolds.
Chapter in Inverse Problems and Applications: Inside Out II (edited by G. Uhlmann), MSRI Publications, Cambridge University Press, 2012. pdf
 Töissä tiedeyhteisössä. (in Finnish)
Chapter in Letters to a young researcher (edited by M. Paso), Finnish Academy of Science and Letters, 2011. pdf
 (with M. Lassas and G. Uhlmann) Wave imaging.
Chapter in Handbook of Mathematical Methods in Imaging (edited by O. Scherzer), SpringerVerlag, 2011. pdf
Articles in refereed conference proceedings
 The fractional Calderón problem.
Journées équations aux dérivées partielles (2017), Exp. No. 7, 8 p. pdf
 (with E. Rahtu, J. Kannala, and J. Heikkilä) Segmenting salient objects from images and videos.
Proc. European Conference on Computer Vision, ECCV 2010, Lecture Notes in Computer Science 6315, p. 366379. pdf
 (with E. Rahtu and J. Heikkilä) Compressing sparse feature vectors using random orthoprojections.
Proc. International Conference on Pattern Recognition, ICPR 2010, p. 13971400. pdf
 Inverse boundary value problems for the magnetic Schrödinger equation.
Proc. Inverse Problems in Applied Sciences  Towards Breakthrough (Sapporo 2006), J. Phys Conf. Series 73 (2007) 012020. pdf  (with E. Rahtu and J. Heikkilä) Affine registration using multiscale approach.
Proc. Finnish Signal Processing Symposium, FINSIG 2007. pdf
 (with E. Rahtu and J. Heikkilä) Nonlinear functionals in the construction of multiscale affine invariants.
Proc. Scandinavian Conference on Image Analysis, SCIA 2007, p. 482491. pdf
 (with E. Rahtu and J. Heikkilä) Multiscale autoconvolution histograms for affine invariant pattern recognition.
Proc. British Machine Vision Conference, BMVC 2006, vol. 3, p. 10591068. pdf
 (with E. Rahtu and J. Heikkilä) A new affine invariant image transform based on ridgelets.
Proc. British Machine Vision Conference, BMVC 2006, vol. 3, p. 10391048. pdf
 (with J. Kannala and J. Heikkilä) Algorithms for computing a planar homography from conics in correspondence.
Proc. British Machine Vision Conference, BMVC 2006, vol. 1, p. 7786. pdf
 (with E. Rahtu, J. Heikkilä, and J. Flusser) Generalized affine moment invariants for object recognition.
Proc. International Conference on Pattern Recognition, ICPR 2006, vol. 2, p. 634637. pdf
 (with E. Rahtu and J. Heikkilä) A new efficient method for producing global affine invariants.
Proc. International Conference on Image Analysis and Processing, ICIAP 2005, p. 407414. pdf
 (with J. Kannala, E. Rahtu, and J. Heikkilä) A new method for affine registration of images and point sets.
Proc. Scandinavian Conference on Image Analysis, SCIA 2005, p. 224234. pdf
 (with E. Rahtu and J. Heikkilä) Convexity recognition using MultiScale Autoconvolution.
Proc. International Conference on Pattern Recognition, ICPR 2004, vol. 1, p. 692695. pdf
