• Unique Continuation for Fractional Schrödinger Equations with Rough Potential, ArXiv Preprint, Communications in Partial Differential Equations, 40.1 (2015): 77-114,
• On the Backward Uniqueness Property of the Heat Equation in Two-Dimensional Conical Domains, ArXiv Preprint, manuscripta mathematica, July 2015, Volume 147, Issue 3, pp 415-436,
• The Cubic-to-Orthorhombic Phase Transition - Rigidity and Non-Rigidity Properties in the Linear Theory of Elasticity, MPI MIS Preprint, Archive for Rational Mechanics and Analysis, July 2016, Volume 221, Issue 1, pp 23-106,
• A Rigidity Result for a Reduced Model of a Cubic-to-Orthorhombic Phase Transition in the Geometrically Linear Theory of Elasticity, ArXiv Preprint, Journal of Elasticity, April 2016, Volume 123, Issue 2, pp 137-177,
• (with Georgy Kitavtsev and Stephan Luckhaus) Surface Energies Arising in Microscopic Modeling of Martensitic Transformations, ArXiv Preprint, Mathematical Models and Methods in Applied Sciences, 25.04 (2015): 647-683,
• On quantitative unique continuation properties of fractional Schrödinger equations: Doubling, vanishing order and nodal domain estimates, Trans. Amer. Math. Soc. 369 (2017), 2311-2362,
• (with Herbert Koch and Wenhui Shi) The variable coefficient thin obstacle problem: Carleman estimates, ArXiv Preprint,  Advances in Mathematics, Oct. 2016, Vol. 301, pp. 820–866,
• (with Herbert Koch and Wenhui Shi) The variable coefficient thin obstacle problem: Optimal regularity and regularity of the regular free boundary, ArXiv Preprint, Annales de l'Institut Henri Poincaré / C, 34 (2017) 4, p. 845-897,
• (with Georgy Kitavtsev and Stephan Luckhaus) Surface Energies Emerging in a Microscopic, Two-Dimensional Two-Well Problem, ArXiv Preprint, Proceedings of the Royal Society of Edinburgh, Section: A Mathematics, 147 (2017) 5, p.1041-1089,
• (with Herbert Koch and Wenhui Shi) The Variable Coefficient Thin Obstacle Problem: Higher Regularity, ArXiv Preprint, Advances in Differential Equations Volume 22, Numbers 11-12, November/December 2017,
• (with Herbert Koch and Wenhui Shi) Higher Regularity for the fractional thin obstacle problem, ArXiv Preprint,  New York journal of mathematics, 25 (2019), p. 745-838,
• (with Christian Zillinger and Barbara Zwicknagl) Higher Sobolev regularity of convex integration solutions in elasticity : the planar geometrically linearized hexagonal-to-rhombic phase transformation, ArXiv Preprint,  Journal of elasticity, 138 (2020) 1, p. 1-76,
• (with Wenhui Shi) Optimal Regularity for the Thin Obstacle Problem with C^{0,α} Coefficients, ArXiv Preprint, Calc. Var. (2017) 56: 129,
• Quantitative Invertibility and Approximation for the Truncated Hilbert and Riesz Transforms ArXiv Preprint, Revista Matemática Iberoamericana, 35 (2019) 7, p. 1997-2024,
• (with Mikko Salo) The fractional Calderón problem: low regularity and stability, ArXiv Preprint, Nonlinear analysis / A, 193 (2020), 111529,
• (with Mikko Salo) Quantitative Approximation Properties for the Fractional Heat Equation, ArXiv Preprint, Mathematical control and related fields, 10 (2020) 1, p. 1-26,
• (with Mikko Salo) Quantitative Runge Approximation and Inverse Problems, ArXiv Preprint, International mathematics research notices, 2019 (2019) 20, p. 6216-6234.
• (with Christian Zillinger and Barbara Zwicknagl) Higher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Dirichlet Problem with Affine Data in int(Klc), ArXiv Preprint, SIAM journal on mathematical analysis, 50 (2018) 4, p. 3791-3841.
• (with Jamie M Taylor and Christian Zillinger) Convex integration arising in the modelling of shape-memory alloys: some remarks on rigidity, flexibility and some numerical implementations ArXiv Preprint, Journal of nonlinear science, 29 (2019) 5, p. 2137-2184.
• (with Tuhin Ghosh, Mikko Salo and Gunther Uhlmann) Uniqueness and reconstruction for the fractional Calderón problem with a single measurement, ArXiv Preprint, Journal of Functional Analysis 279.1 (2020): 108505.
• (with Mikko Salo) Exponential instability in the fractional Calderón problem, ArXiv Preprint, Inverse problems, 34 (2018) 4, 045003.
• Unique continuation for sublinear elliptic equations based on Carleman estimates, ArXiv Preprint, Journal of differential equations, 265 (2018) 11, p. 6009-6035.
• (with Eva Sincich) Lipschitz stability for the finite dimensional fractional Calderón problem with finite Cauchy data, ArXiv Preprint, Inverse problems and imaging, 13 (2019) 5, p. 1023-1044.
• (with Jenn-Nan Wang) On the fractional Landis conjecture, ArXiv Preprint, Journal of functional analysis, 277 (2019) 9, p. 3236-3270.
• (with Mihajlo Cekić and Yi-Hsuan Lin) The Calderón problem for the fractional Schrödinger equation with drift, ArXiv Preprint, Calculus of Variations and Partial Differential Equations 59.3 (2020): 1-46.
• (with María-Ángeles García-Ferrero) Strong unique continuation for the higher order fractional Laplacian , ArXiv Preprint, Mathematics in engineering, 1 (2019) 4, p. 715-774.
• (with Georgy Kitavtsev, Gianluca Lauteri, Stephan Luckhaus) A compactness and structure result for a discrete multi-well problem with SO(n) symmetry in arbitrary dimension, ArXiv Preprint, Archive for rational mechanics and analysis, 232 (2019) 1, p. 531-555.
• (with Ru-Yu Lai, Yi-Hsuan Lin) The Calderón problem for a space-time fractional parabolic equation, SIAM Journal on Mathematical Analysis 52.3 (2020): 2655-2688.
• (with Francesco Della Porta) Convex integration solutions for the geometrically non-linear two-well problem with higher Sobolev regularity, Mathematical Models and Methods in Applied Sciences, 30(03), 611-651.
• (with Pierluigi Cesana, Francesco Della Porta, Christian Zillinger, Barbara Zwicknagl) Exact constructions in the (non-linear) planar theory of elasticity : from elastic crystals to nematic elastomers, Archive for Rational Mechanics and Analysis 237.1 (2020): 383-445.
• (with Eva Sincich) On Runge approximation and Lipschitz stability for a finite-dimensional Schrödinger inverse problem, Applicable Analysis (2020): 1-12.
• (with María-Ángeles García-Ferrero) On Two Methods for Quantitative Unique Continuation Results for Some Nonlocal Operators, submitted, ArXiv Preprint, Communications in Partial Differential Equations 45.11 (2020): 1512-1560.
• (with Giovanni Covi) On some partial data Calderón type problems with mixed boundary conditions, ArXiv Preprint, Journal of Differential Equations 288 (2021): 141-203.
• (with Aingeru Fernández-Bertolin, Luz Roncal, Diana Stan) Discrete Carleman estimates and three balls inequalities, submitted, ArXiv Preprint, Calculus of Variations and Partial Differential Equations 60 (2021): 1-28.
• On Single Measurement Stability for the Fractional Calderón Problem, ArXiv Preprint, SIAM J. Math. Anal., 53(5), 5094–5113.
• (with Francesco Della Porta, Jamie M Taylor, Christian Zillinger)  On a probabilistic model for martensitic avalanches incorporating mechanical compatibility, ArXiv Preprint, Nonlinearity, Volume 34, Number 7, 4844.
• (with María-Ángeles García-Ferrero and Wiktoria Zatoń): Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation, ArXiv Preprint, accepted in Inverse Problems & Imaging.
• (with Herbert Koch and Mikko Salo): On Instability Mechanisms in Inverse Problems, ArXiv Preprint, Ars Inveniendi Analytica (2021), Paper No. 7, 93 pp.
• (with Wenhui Shi): Higher Regularity for the Signorini Problem for the Homogeneous, Isotropic Lamé System, ArXiv Preprint, Nonlinear Analysis 217 (2022): 112762.
• (with Antonio Tribuzio): On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square, ArXiv Preprint, Archive for Rational Mechanics and Analysis, 243(1), 401-431.
• (with Giovanni Covi and  María Ángeles García-Ferrero): On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols, ArXiv Preprint, Journal of Differential Equations, Volume 341, 2022, 79-149.
• (with Antonio Tribuzio): On the Energy Scaling Behaviour of Singular Perturbation Models with Prescribed Dirichlet Data Involving Higher Order Laminates, ArXiv Preprint, ESAIM: Control, Optimisation and Calculus of Variations 29 (2023): 68.
• (with Antonio Tribuzio): On Scaling Laws for Multi-Well Nucleation Problems without Gauge Invariances, ArXiv Preprint, Journal of Nonlinear Science 33.2 (2023): 25.
• (with Ibrokhimbek Akramov, Hans Knüpfer and Martin Kružík): Minimal Energy for Geometrically Nonlinear Elastic Inclusions in Two Dimensions, ArXiv Preprint, Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2023): 1-24.
• (with Camillo Tissot and Bogdan Raiţă): On Scaling Properties for Two-State Problems and for a Singularly Perturbed T3 Structure, ArXiv Preprint, Acta Applicandae Mathematicae 184.1 (2023): 5.
• (with Theresa M. Simon): On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation, ArXiv Preprint, Journal of Elasticity 153.3 (2023): 455-475.

Preprints:

• (with Aingeru Fernández-Bertolin, Luz Roncal) On (Global) Unique Continuation Properties of the Fractional Discrete Laplacian, ArXiv Preprint.

• (with Giovanni Covi, Tuhin Ghosh and Gunther Uhlmann): A Reduction of the Fractional Calderón Problem to the Local Calderón Problem by Means of the Caffarelli-Silvestre Extension, ArXiv Preprint.

• (with Antonio Tribuzio): On the Scaling of the Cubic-to-Tetragonal Phase Transformation with Displacement Boundary Conditions, ArXiv Preprint.

• (with Bogdan Raiţă, Camillo Tissot and Antonio Tribuzio): On Scaling Properties for a Class of Two-Well Problems for Higher Order Homogeneous Linear Differential Operators, ArXiv Preprint.

• Revisiting the Anisotropic Fractional Calderón Problem Using the Caffarelli-Silvestre Extension, ArXiv Preprint.