My area of expertise is in relativistic quantum field theory (QFT), namely the theory which describes the physics of elementary particles. This broad and topical area often combines ideas from various other mathematical disciplines such as Analysis, Algebra and Differential Geometry; and vice versa, these disciplines have been influenced by developments in QFT. Within the context of my research, I analyze mathematical models of QFT with rigorous methods, in particular with tools from Functional Analysis and Complex Analysis.
I use a novel constructive approach based on techniques in Operator Algebra and Functional Analysis to construct interacting QFTs with bound states in 1+1 dimensional Minkowski space (e.g., the Z(N)Ising model and the sineGordon model). There are very few rigorously constructed interacting models of QFT, so that this aspect of my work is not only a very challenging topic in mathematical physics, but also requires the development of novel techniques in mathematics, in particular, the study of selfadjoint extensions of certain symmetric operators which are not amenable to an application of the standard results in the literature.
Another aspect of my work is the study of lower bounds to the smeared energy density (quantum energy inequalities) in selfinteracting models of QFT, which is a topic of interest not only in physics (Cosmology, Astrophysics) since they exclude the existence of exotic spacetime geometries, such as wormholes, warp drives and time machines, but also with respect to the mathematical techniques applied: it requires very detailed estimates on lower bounds of certain integral operators, including integral kernels with singularities, and in that respect requires advanced techniques of Functional Analysis.
More recently, with colleagues at Bristol, I started working in mathematical aspects of Quantum information theory.
Contact
I am currently a Research Assistant in MathematicalPhysics at the University of Göttingen, after a stay in England as a Lecturer in Applied Mathematics at the University of Bristol.
Daniela Cadamuro
University of Göttingen
Institute of Mathematics
Bunsenstrasse 35
D37073 Göttingen
Germany
eMail: first name.last name@mathematik.unigoettingen.de
List of Publications
2016 In preparation: D. Cadamuro, P. Kammerlander, S. Salek, K. Wiesner: ``Quantum Information Bottleneck Method''.
 D. Cadamuro, Y. Tanimoto: ``Wedgelocal fields in integrable models with bound states II. Diagonal Smatrix'', arXiv:1601.07092.
 D. Cadamuro: ``Quantum energy inequalities in integrable quantum field theories'', proceeding of the Fourteenth Marcel Grossmann Meeting, arXiv:1512.03946.
 H. Bostelmann, D. Cadamuro:``Negative energy densities in integrable quantum field theories at oneparticle level'', Physical Review D 93: 065001 (2015).
 D. Cadamuro, Y. Tanimoto: ``Wedgelocal fields in integrable models with bound states'', Commun. Math. Phys. 340, 661697
 H. Bostelmann, D. Cadamuro: ``Characterization of local observables in integrable quantum field theories'', Commun. Math. Phys. 337, 11991240
 H. Bostelmann, D. Cadamuro, C. J. Fewster: ``Quantum Energy Inequality for the Massive Ising Model'', Physical Review D 88: 025019.
 H. Bostelmann, D. Cadamuro:``An operator expansion for integrable quantum field theories'', J. Phys. A: Math. Theor. 46, 095401.
 D. Cadamuro:``A Characterization Theorem for Local Operators in Factorizing Scattering Models'', Ph.D. thesis, arXiv:1211.3583 [mathph].
Teaching portfolio
I have substantial teaching experience in the UK higher education sector, gained in particular during my stay at the University of Bristol as a temporary Lecturer. In particular, I would like to mention:Lecture course: "Mathematics 1A20 Calculus".

Winter term 20132014, approximately 240 students.
Content of the course: 20credit module on Calculus for first year students in the Sciences and in Economics, mostly home students. Duties related to the course: Organization of the weekly tutorials, setting the final exam, invigilating and marking the exam.
 Winter term 20152016, approximately 90 students;
 Winter term 20142015, approximately 90 students;
 Spring term 2014, approximately 90 students.
Content of the course: 40credit module on Calculus for foundation year and first year students in the Sciences and in Economics, mostly overseas students. Duties related to the course: Organization of the weekly tutorials, setting the final exam, invigilating and marking the exam.
 Spring term 2015, approximately 30 students;
 Spring term 2014, approximately 30 students.
Content of the course: 10credit level 4 module (fourth year and PhD students) on a specialized topic in Mathematical Physics, namely functional integration and its applications in Quantum Theory. Duties related to the course: Organization of the weekly exercise classes, setting homeworks and solutions, setting the final exam, invigilating and marking the exam.
List of invited talks
 Junior Hausdorff Trimester Program ``Mathematical Physics'', Hausdorff Research Institute for Mathematics, Bonn 2022 November 2012.
 Mathematical Physics workshop, ETH Zürich, Institute for Theoretical Physics, Zürich November 2013.
 Quantum field theory seminar, University of Goettingen, Institute of Theoretical Physics, Goettingen 9 July 2014.
 ``Quantum Field Theory, Gravitation and Elementary Particles seminar'', Institute for TheoreticalPhysics, University of Leipzig, Leipzig 23 June 2015.
 14th Marcel Grossmann meeting, University ``La Sapienza'', Rome 1218 July 2015.
 Workshop ``Quantum Field Theory: Infrared problems and constructive aspects'', Technical University of Munich (TUM), Munich October 89 2015.
 Integrable systems seminar, University of Leeds, School of Mathematics, Leeds 23 October 2015.
 ``Geometry, Algebra, Mathematical Physics and Topology seminar'', Cardiff University, School of Mathematics, Cardiff 5 November 2015.
 ``DPGFrühjahrstagung'', University of Hamburg, Hamburg 29 February  4 March 2016.
 Conference ``Women at the Intersection of Mathematics and High Energy Physics'', Mainz Institute for Theoretical Physics, Mainz 610 March 2017 (forthcoming).