Zentrum MathematikTechnische Universität München

85748 Garching(+49) 89 289 17032

daniela.cadamuro@tum.dehttp://www-m5.ma.tum.de/Allgemeines/DanielaCadamuro

Daniela Cadamuro

Employment:• January 2017 - present, post-doc, Department of Mathematics, Technische Universität

München, Germany.• November 2015 - December 2016, post-doc, Department of Mathematics, University

of Göttingen, Germany.• September 2013 - November 2015, lecturer in Applied Mathematics, School of Math-

ematics, University of Bristol, UK.• January 2013 - August 2013, tutor in Mathematics and Physics, Leeds ISC, Leeds

Metropolitan University, UK.

Qualifications:• 2012, Ph.D. in theoretical physics (supervisor: K.-H. Rehren), University of Göttingen,

Germany.title: “A Characterization Theorem for Local Operators in Factorizing Scattering Models”,grade: magna cum laude.

• 2007, M.Sc. in theoretical phyiscs (supervisor M. Ferraris), University of Turin, Italy.title: “Affine theories in two and three dimensions”, grade: 110/110 cum laude e menzione(with distinction).

• 2005, B.Sc. in physics (supervisor L. Fatibene), University of Turin, Italy.title: “Magnetic monopole”, grade: 110/110.

Publications

My main research interests are in relativistic quantum field theory, i.e., the theory which describesthe physics of elementary particles. Models describing interaction among particles are generallydifficult to construct. But examples called “quantum integrable models” in lower dimensions aremore amenable to a rigorous construction due to their simplified type of interaction. Here, I amparticularly interested in the construction of integrable models with bound states.

These models also represent an ideal context to study lower bounds to the smeared energydensity (quantum energy inequalities), which are essential for the stability of spacetime, sincethey exclude the existence of “exotic” spacetime geometries. My aim here is to show that QEIsexist for interacting models of particles.

Other examples of “quantum inequalities” appear in the context of quantum mechanics. Iinvestigate inequalities for the probability backflow of a particle scattering onto a potential, with

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results that might be directly verifiable in experiments. I currently work on extending the proofof these inequalities to a larger class of potentials.

Also, I recently became interested in mathematical aspects of Quantum Information Theory,working on the problem of data compression in quantum communication.

Articles in journals. In mathematical physics publications, the order of authors is alwaysalphabetical.

1. H. Bostelmann, D. Cadamuro: “An operator expansion for integrable quantum field theories”,J. Phys. A: Math. Theor. 46, 095401 (2013).

2. H. Bostelmann, D. Cadamuro, C. J. Fewster: “Quantum Energy Inequality for the MassiveIsing Model”, Physical Review D 88: 025019 (2013).

3. H. Bostelmann, D. Cadamuro: “Characterization of local observables in integrable quantumfield theories”, Commun. Math. Phys. 337, 1199-1240 (2014).

4. D. Cadamuro, Y. Tanimoto: “Wedge-local fields in integrable models with bound states”,Commun. Math. Phys. 340, 661-697 (2015).

5. H. Bostelmann, D. Cadamuro: “Negative energy densities in integrable quantum field theo-ries at one-particle level”, Physical Review D 93: 065001 (2016).

6. D. Cadamuro, Y. Tanimoto: “Wedge-local fields in integrable models with bound states II.Diagonal S-matrix”, Annales Henri Poincaré 18, 233 - 279 (2017).

7. H. Bostelmann, D. Cadamuro, G. Lechner: “Quantum backflow and scattering”, PhysicalReview A 96: 012112 (2017).

8. D. Cadamuro, Y. Tanimoto: “Wedge-local observables for factorizing S-matrix with gap inthe coupling constant”, Reviews in Mathematical Physics 30, 1850010 (2018).

Preprints:

9. S. Salek, D. Cadamuro, P. Kammerlander, K. Wiesner: “Quantum Rate-Distortion Codingof Relevant Information”, arXiv:1704.02903 (2017)

10. H. Bostelmann, D. Cadamuro: “Explicit construction of local observables in integrable quan-tum field theories”, arXiv:1806.00269 (2018).

11. D. Cadamuro, W. Dybalski:“Relative normalizers of automorphism groups, infravacua andthe problem of velocity superselection in QED”, arXiv:1807.07919 (2018).

Other published works, including conference proceedings

• D. Cadamuro: “A Characterization Theorem for Local Operators in Factorizing ScatteringModels”, Ph.D. thesis, arXiv:1211.3583 [math-ph] (2012).

• D. Cadamuro: “Quantum energy inequalities in integrable quantum field theories”,arXiv:1512.03946 (2015), Proceedings of the Fourteenth Marcel Grossman Meeting on Gen-eral Relativity.

• D. Cadamuro: “Wedge-local fields in interacting quantum field theories with bound states”,arXiv:1608.07837 (2016), Oberwolfach Reports for the Oberwolfach Workshop 1630 “RecentMathematical Developments in Quantum Field Theory”.

• D. Cadamuro: “Quantum backflow in scattering situations”, arXiv:1710.04322 (2017), Ober-wolfach Reports for the Oberwolfach Workshop 1737 “Mathematical Questions and Chal-lenges in Quantum Electrodynamics and its Applications”.

• D. Cadamuro: “Direct construction of pointlike observables in the Ising model”,arXiv:1806.01686 (2018), Oberwolfach Reports for the Oberwolfach Workshop 1748 “Re-flection Positivity”.

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In preparation:

• D. Cadamuro, Y. Tanimoto: “Wedge-local observables in the Thirring model”.

Impact of the research (outside academia):

My results on the project “Quantum backflow and scattering” jointly with H. Bostelmann andG. Lechner have recently attracted the attention of the international media, being covered byonline news outlets in the UK, Spain, Germany, the US, and China, including the Daily MailDaily MailDaily Mail(with a press article entitled “Scientists discover all quantum particles can travel BACKWARDin breakthrough that could pave the way for ultra-secure encryption”), GizmodoGizmodoGizmodo (“Pushing Par-ticles Forwards Might Make Them Go Backwards Because Quantum Physics Is Bonkers”), andSpektrum der WissenschaftSpektrum der WissenschaftSpektrum der Wissenschaft (the German sister publication of Scientific American, “Reisen Quan-ten manchmal rückwärts?”).

Research grants

Research activitiesInvited conference talks:2018 29 July - 3 August, workshop “Physics and Mathematics of Quantum Field Theory”;

Banff International Research Station for Mathematical Innovation and Discovery, Banff(forthcoming).

2017 26 November - 2 December, workshop “Reflection Positivity”(1748); MathematischesForschungsintitut Oberwolfach, “Direct construction of pointlike observables in the Isingmodel”.10 - 16 September, workshop “Mathematical Questions and Challenges in QuantumElectrodynamics and its Applications”(1737); Mathematisches Forschungsintitut Ober-wolfach, “Quantum backflow in scattering situations”.5 - 7 September, workshop “Modern mathematics of Quantum Theory”; University ofYork, UK, “Direct construction of pointlike obsevables in the Ising model”.2 - 3 June, conference “21st UK Meeting on Integrable Models, Conformal Field The-ory and Related Topics”; University of Leeds, UK, “Construction of two-dimensionalquantum integrable models via wedge-local fields”.29 May - 2 June 2017, conference “Foundational and structural aspects of gaugetheories”; Mainz Institute for Theoretical Physics, Johannes Gutenberg University, “Ex-tending the algebraic construction of integrable QFTs”.4 - 7 April 2017, conference “QFT: Concepts, Constructions and Curved Spacetimes”;University of York, “Construction of quantum integrable models with bound states”.6 - 10 March 2017, conference “Women at the Intersection of Mathematics and HighEnergy Physics”; Mainz Institute for Theoretical Physics, “Locality of observables inquantum field theory”.

2016 24 - 30 July, workshop “Recent Mathematical Developments in Quantum Field The-ory”(1630); Mathematisches Forschungsintitut Oberwolfach, “Wedge-local fields in inter-acting quantum field theories with bound states”.29 February - 4 March, “DPG-Frühjahrstagung (Spring Meeting)”; University of Ham-burg, “Wedge-local fields in interacting quantum field theories with bound states”.

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2015 8 - 9 October, workshop “Quantum Field Theory: Infrared problems and constructiveaspects”; Technical University of Munich (TUM), “Wedge-local fields in integrable modelswith bound states”.12 - 18 July, 14th Marcel Grossmann meeting ; University “La Sapienza”, Rome ,“Energydensity and quantum energy inequalities in integrable QFTs”.

2013 19 November, Mathematical-physics workshop; ETH Zurich, Institute for TheoreticalPhysics, “A Quantum Energy Inequality for the Massive Ising Model”.

Invited seminar talks:2018 29 March, Seminar “maths bites trento”; Dipartimento di Matematica, Unversità di

Trento, “An introduction to algebraic quantum field theory”.22 January, Research seminar “Mathematics and Physics of local quantum field theo-ries”; Institut für Mathematik, Humboldt-Universität zu Berlin, “Lower bounds for theenergy density in quantum integrable models”.

2017 29 November, Institut für Theoretische Physik, ETH Zürich, “Construction of inte-grable models with bound states”.10 November, Oberseminar Analysis; Fakultät für Mathematik, Universität Regens-burg, “Lower bounds for the energy density in quantum integrable models”.26 October, Seminario di Fisica Matematica; Dipartimento di Matematica, Universitàdi Genova “Lower bounds for the energy density in quantum integrable models”.

2016 19 October, Algebra and Geometry seminar ; School of Mathematics and Statistics,Lancaster University, “Quantum inequalities”.4 July, Applied Mathematics seminar ; School of Mathematics, Statistics and ActuarialScience, University of Kent, “Quantum energy inequalities”.

2015 5 November, Geometry, Algebra, Mathematical Physics and Topology seminar ; Schoolof Mathematics, Cardiff University, “Wedge-local fields in integrable models with boundstates”.23 October, Integrable systems seminar ; School of Mathematics, University of Leeds,“Lower bounds for the energy density in quantum integrable models”.23 June, Quantum Field Theory, Gravitation and Elementary Particles seminar ; Insti-tute for Theoretical-Physics, University of Leipzig, “Energy density and quantum energyinequalities in integrable QFTs”.20 June, Mathematical Phsyics seminar ; Technical University of Munich (TUM), “Neg-ative energy densities in integrable quantum field theories at one-particle level”.

2014 9 July, Quantum field theory seminar ; Institute for Theoretical Physics, University ofGöttingen, “Wedge local fields in integrable models with bound states”.

Contributed conference and seminar talks:2018 12 June, Mathematical Physics seminar ; Department of Mathematics, University of

York, “Removing velocity superselection with infravacuum representations”.

2017 20 November, Seminar on “Quantum Field Theory, Gravitation, and Elementary Par-ticles”; Institut für Theoretische Physik, Universität Leipzig, “The quantum stress-energytensor”.13 - 17 March, “DPG-Frühjahrstagung”; University of Bremen, “Quantum backflow inscattering situations”.1 March, Quantum information seminar ; Department of Mathematics, University ofYork, “The quantum information Bottleneck method”.

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20 - 21 January, 39th Workshop “Foundations and Constructive Aspects of QFT”;Department of Mathematics, University of Münster, “Quantum backflow in scatteringsituations ”.

2016 27 - 30 September, DESY Theory Workshop “Rethinking Quantum Field Theory”;DESY Hamburg, “Wedge-local fields in interacting quantum field theories with boundstates”.2 May, Quantum field theory seminar ; University of Göttingen, “QFT models withbound states”.4 - 5 April, BritGrav16 ; University of Nottingham, “Lower bounds for the energydensity in quantum integrable models”.22 February, Quantum field theory, Gravitation and Elementary particle physics sem-inar ; Institute for Theoretical Physics, University of Leipzig, “Wedge local fields for theZ(N)-Ising and the AN−1 -affine Toda theories”.11 February, Mathematical physics seminar ; Department of Mathematics, Universityof York, “Wedge local fields for the Z(N)-Ising and the AN−1-affine Toda theories”.

2015 12 - 13 June, ICFT 2015 - UK Meeting on Integrable and Conformal Field Theory ;University of Durham, “Lower bounds for the energy density in quantum integrablemodels”.29 - 30 May , 36th Workshop “Foundations and Constructive Aspects of QFT”; Uni-versity of Leipzig, “Wedge-local fields in the sine-Gordon model”.11 - 13 February, Workshop “New Trends in Algebraic Quantum Field Theory”; INFN- Laboratori Nazionali di Frascati, “Energy density and quantum energy inequalities inintegrable QFTs’’.

2014 14 - 15 November, 35th Workshop “Foundations and Constructive Aspects of QFT”;Goslar, “Wedge-local fields in the sine-Gordon model and more”.10 October, Mathematical physics seminar ; Department of Mathematics, Universityof Bristol, “Quantum energy inequalities in models with factorizing scattering matrix”.2 October, Mathematical physics seminar ; Department of Mathematics, University ofYork, “Wedge local fields in integrable models with bound states”.15 - 19 September, Conference “Operator and geometric analysis on quantum theory”;CIRM (Centro Internazionale per la Ricerca Matematica), Levico Terme,“Quantum en-ergy inequalities in models with factorizing scattering matrix ”.25 - 26 April, 34th Workshop “Foundations and Constructive Aspects of QFT”;Institute for quantum gravity, University of Erlangen, “Wedge local fields in integrablemodels with bound states”.17 March, Analysis seminar ; School of Mathematics, University of Bristol, “Localobservables in algebraic quantum field theories”.8 January, Mathematical Physics seminar ; University of Rome “Tor Vergata”, “A Quan-tum Energy Inequality for the Massive Ising Model”.

2013 14 - 16 November, 33rd Workshop “Foundations and Constructive Aspects of QFT”;Institute for Theoretical Physics, University of Goettingen, “A Quantum Energy In-equality for the Massive Ising Model”.8 November, Mathematical Physics seminar ; School of Mathematics, University ofBristol, “Characterization of local observables in integrable quantum field theories”.18 June, Mathematical Physics seminar ; School of Mathematics and Statistics, TheUniversity of Sheffield, “A Quantum Energy Inequality for the Massive Ising Model”.25 June, Quantum Field Theory seminar ; Institute of Theoretical Physics, Georg-August University of Göttingen, “A Quantum Energy Inequality for the Massive IsingModel”.

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2012 23 - 24 November, 31st LQP Workshop “Foundations and Constructive Aspects ofQFT”; Institute of Theoretical Physics, University of Leipzig, “Locality in integrableQFTs - characterization and explicit examples”.30 July - 1 August, “Mathematical aspects of QFT and QSM”; II. Institute of The-oretical Physics at DESY, Hamburg, “Characterization of local operators in factorizingscattering models”.27 February-2 March , DPG Frühjahrstagung 2012 ; Institute of Theoretical Physics,Georg-August University of Göttingen, “Characterization of local operators in factorizingscattering models”.

2011 18 - 19 November, 29th Workshop “Foundations and Constructive Aspects of QFT”;Institute of Theoretical Physics, University of Leipzig, “A Theorem of Characterizationfor Local Operators in Factorizing Scattering Models”.21 September - 1 October, “Rigorous Quantum Field Theory in the LHC era”; TheErwin Schrödinger International Institute for Mathematical Physics, University of Wien,“Characterization of local operators in factorizing scattering models, part II”.25-30 April, EU-NCG 4th Annual Meeting ; Simion Stoilow Institute of Mathematics,Bucharest, “Characterization of Local Operators in Factorizing Scattering Models”.

Invited research visits:2018 4 - 15 June, visitor at the Department of Mathematics, University of York (H. Bostel-

mann), and visitor at the School of Mathematics, University of Leeds (S. Ruijsenaars).9 - 13 April, visitor at the School of Mathematics, Cardiff University (G. Lechner),talk: “An introduction to quantum integrable models in the algebraic framework”.

2017 11 - 15 December, visitor at the Department of Mathematics, University of Rome“Tor Vergata” (Y. Tanimoto), talk: “Direct construction of pointlike observables in theIsing model”.1 - 5 May, participant at the programme “Operator algebras: subfactors and theirapplications”, Isaac Newton Institute, Cambridge.27 February - 3 March, visitor at the Department of Mathematics, University of York(H. Bostlemann and G. Lechner).

2016 19 - 20 October, visitor at the Department of Mathematics and Statistics, LancasterUniversity (R. Hillier).12 - 17 September, participant at the Intensive trimester “Mathematics and Physicsat the Crossroads”; LNF, Frascati and INdAM, Rome, “Lower bounds for the energydensity in quantum integrable models”.22 - 26 February, visitor at the Institute for Theoretical Phsyics, Unversity of Leipzig(M. Froeb and K. Sanders).

2015 22 - 26 June, visitor at the institute for Theoretical Physics, Unversity of Leipzig(M. Froeb and K. Sanders).

2014 7 - 11 July, visitor at the Institute for Theoretical Physics, University of Göttingen(Y. Tanimoto).7 - 10 January, visitor at the Department of Mathematics, University of Rome “TorVergata” (G. Morsella).

2012 20 - 22 November, participant at the Junior Hausdorff Trimester Program “Math-ematical Physics”; Hausdorff Research Institute for Mathematics, Bonn, “Locality inintegrable QFTs - characterization and explicit examples”.

Conference and seminar organisation

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2017 Organizer of the Workshop on Macroscopic Limits of Quantum Systems, TechnischeUniversität München, 30 March - 1 April 2017 - with M. Duell, W. Dybalski and S. Si-monella.

2016/17 Organizer of the Mathematical Physics seminar at the University of Göttingen, halfWiSe 2016-2017 - with K.H. Rehren and D. Bahns.

2016 Organizer of the Mathematical Physics seminar at the University of Göttingen, SoSe2016 - with K.H. Rehren and D. Bahns.

2013/15 Organizer of sessions of the Mathematical Physics seminar at the University of Bristol,Sep. 2013 - Nov. 2015 - with A. Maltsev.

Editorial duties:

• Editor of the Springer Proceedings in Mathematics and Statistics for the Workshop on“Macroscopic Limits of Quantum Systems”, Technische Universität München.

Other activities:• Member of the Committee for the assignment of a position of Juniorprofessor in “Mathema-

tische Statistik”, Institute for Mathematical Stochastics, University of Göttingen, GöttingenJune 2016.

• Referee for Communications in Mathematical Physics, Physics Letters A.

• Invitation to the Emmy Noether-Treffen, 13 - 15 July 2018, Potsdam.

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Teaching

Courses taught:2015 half winter term, “Introductory Foundation Mathematics”, University of Bristol.

spring term, “Advanced Quantum Theory”, University of Bristol.

2014/15 winter term, “Maths 1EM Calculus”, University of Bristol.

2014 spring term, “Advanced Quantum Theory”, University of Bristol.This course was taught to local students at Bristol, as well as live transmitted to studentsat Oxford, Imperial College, Warwick and Bath.spring term, “Maths 1EM Calculus”, University of Bristol.

2013/14 winter term, “Maths 1A20 Calculus”, University of Bristol.

2013 January - August, teaching of lectures, seminars and workshops in pure mathematics,applied mathematics and physics, Leeds ISC, Leeds Metropolitan University.

Exercise classes and tutorials:2017 summer semester, exercise classes for the course “Algebraic Quantum Field Theory”,

Ludwig-Maximilian-University of Munich (with M. Duell).

2016/17 half winter term, exercise classes for the course “Classical field theory”, University ofGöttingen (in German).

2014/15 entire academic year, tutorials in Calculus, Linear Algebra and Geometry, Universityof Bristol.entire academic year, tutorials in Computational Mathematics, Calculus and Me-chanics, University of Bristol.

2013 spring term, seminars for the course “Introduction to Applied Mathematics”, Universityof York.

2009 - 12 exercise classes for the course “Mathematical methods for physics II”, Georg-AugustUniversity of Göttingen, academic years 2009-2010, 2010-2011 and 2011-2012.

2008 - 10 exercise classes for the course “Quantum mechanics”, Georg-August University of Göt-tingen, academic years 2008-2009 and 2009-2010.

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