GRK 1493:  Mathematical Structures in Modern Quantum Physics

• Subject Area: Mathematics ; Particles, Nuclei and Fields
• Term: from 2008 to 2017
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 51442683

• Final Report Year: 2017

Final Report Abstract

Die moderne Mathematik wird stark von Ideen stimuliert, die in Überlegungen und Theorien zur Physik von Materie, Zeit und Raum auf der Quantenskala wurzeln. Diet heoretische Behandlung der dort auftretenden Phänomene benötigt neue Konzepte und Methoden aus sehr verschiedenen Bereichen der Mathematik, von neuartigen Zugängen zu Geometrie und Topologie, etwa der groben und nichtkommutativen Geometrie, über neue Techniken in der Analysis unendlicher Systeme bis zur Theorie der Invarianten von Operatoralgebren und zur Kategorientheorie. Das Graduiertenkolleg befasst sich mit Themen an dieser Schnittstelle von Mathematik und Physik. Es hat zum Ziel, Doktorandinnen und Doktoranden in der reinen Mathematik und der theoretischen Physik ein inspirierendes Umfeld zu bieten, in dem einerseits die notwendige Spezialisierung in der eigenen fachlichen Thematik gelingt, andererseits der Blick geöffnet wird für andere Disziplinen und eine gewisse Breite der Ausbildung gewährleistet ist. Es unterstützt den wissenschaftlichen Nachwuchs dabei, früh wissenschaftliche Selbstständigkeit und Reife zu entwickeln.

Publications

• A sharpened nuclearity condition and the uniqueness of the vacuum in QFT. Comm. Math. Phys. 283 (2008), 523
  W. Dybalski
  
• A sharpened nuclearity condition for massless fields. Lett. Math. Phys. 84 (2008), 217
  W. Dybalski
  
• A short proof of the approximation conjecture for amenable groups. J. Funct. Anal. 255 (2008), 1102–1106
  D. Pape
  
• Spectral theory of automorphism groups and particle structures in quantum field theory. Georg-August-Universität Göttingen (2008)
  W. Dybalski
  
• A new spectral triple over a space of connections. Comm. Math. Phys. 290 (2009), 389–398
  J. Aastrup, J. Grimstrup, R. Nest
  
• Boundary integral method in the linear theory of micropolar thermoelasticity with microtemperatures. Proc. 8th Int. Congress on Thermal stresses, TS2009. 1–4 June, University of Illinois at Urbana-Champaign (2009), 469–472
  M. M. Svanadze
  
• Coincidence arrangements of local observables and uniqueness of the vacuum in QFT. J. Phys. A 42 (2009), 365201
  W. Dybalski
  
• Conformally covariant quantization of Maxwell field in de Sitter space. Phys. Rev. D 80 (2009), 124005
  S. Faci, E. Huguet, J. Queva, J. Renaud
  
• Heat equation approach to an index theorem on odd-dimensional manifolds. Bull. Belg. Math. Soc. Simon Stevin 16 (2009), 647–664
  M. Esfahani Zadeh
  
• Holonomy loops, spectral triples and quantum gravity. Classical Quantum Gravity 26 (2009), 165001, 17 pp.
  J. Aastrup, J. Grimstrup, R. Nest
  
• Index theory for boundary value problems via continuous fields of C∗-algebras. J. Funct. Anal. 257 (2009), 2645–2692
  J. Aastrup, R. Nest, E. Schrohe
  
• Landweber exact formal group laws and smooth cohomology theories. Algebr. Geom. Topol. 9 (2009), 1751–1790
  U. Bunke, T. Schick, I. Schröder, M. Wiethaup
  
• On spectral triples in quantum gravity. I. Classical Quantum Gravity 26 (2009), 065011, 53pp
  J. Aastrup, J. Grimstrup, R. Nest
  
• On spectral triples in quantum gravity. II. J. Noncommut. Geom. 3 (2009), 47–81
  J. Aastrup, J. Grimstrup, R. Nest
  
• On the Reeh–Schlieder property in curved spacetime. Comm. Math. Phys. 288 (2009), 271–285
  K. Sanders
  
• Spectral theory of automorphism groups and particle structures in QFT. Ph.D. Thesis. Published by VDM
  W. Dybalski
  
• Bidifferentialkalküle und integable Systeme. Lviv/Ukraine (2010)
  O. Chvartatskyi
  
• Boundary value problems of the theory of viscoelasticity for Kelvin– Voigt materials. PAMM, Proc. Appl. Math. Mech. 10 (2010), 307–308
  M. M. Svanadze
  
• Boutet de Monvel’s calculus and groupoids I. J. Noncommut. Geom. 4 (2010), 313–329
  J. Aastrup, S. Melo, B. Monthubert, E. Schrohe
  
• Continuous spectrum of automorphism groups and the infraparticle problem. Comm. Math. Phys. 300 (2010), 273
  W. Dybalski
  
• Equivalence of the (generalised) Hadamard and microlocal spectrum condition for (generalised) free fields in curved spacetime. Commun. Math. Phys. 295 (2010), 485–501
  Ko Sanders
  
• Explicit solution of the boundary value problems of the theory of elasticity for solids with double porosity. PAMM, Proc. Appl. Math. Mech. 10 (2010), 337–338
  Tsagareli, M.M. Svanadze
  
• Large time limit and the L2 local index theorem. Oberwolfach Rep. 28 (2010), Workshop Analysis and Geometric Singularities 10.4171
  S. Azzali
  
• Local Thermal Equilibrium in Quantum Field Theory on Flat and Curved Spacetimes. Class. Quant. Grav. 27 (2010), 235002
  C. Solveen
  
• Non-integral central extensions of loop groups. Contemp. Math. 519 (2010), 203–214
  Ch. Wockel
  
• Solution of boundary problems of poro-elastostatics for elastic circular ring with double porosity. Bulletin of Yerevan State University of Architecture and Construction 15/2 (2010), 171–177. (In Russian)
  I. Tsagareli, M. M. Svanadze
  
• Some Aspects on Coarse Homotopy Theory. Georg-August-Universität Göttingen (2010)
  B. Norouzizadeh
  
• The locally covariant Dirac field. Rev. Math. Phys. 22 (2010), 381–430
  Ko Sanders
  
• Asymptotic completeness in a class of massless relativistic quantum field theories. Comm. Math. Phys. 305 (2011), 427
  W. Dybalski, Y. Tanimoto
  
• Boundary value problems of steady vibrations in the theory of thermoviscoelasticity for Kelvin–Voigt materials. Proc. 9th Int. Congress on Thermal stresses, TS2011. 5–9 June, 2011, Budapest, Hungary
  M. M. Svanadze
  
• Categorified central extensions, étale Lie 2-groups and Lie’s Third Theorem for locally exponential Lie algebras. Adv. Math. 228 (2011) 2218-2257
  Ch. Wockel
  
• Chern classes for differential SU-cobordism. Georg-August-Universität Göttingen (2011)
  I. Schröder
  
• Exactly solvable Schrödinger operators. Ann. Henri Poincaré 12 (2011), 397–418
  J. Dereziński; M. Wrochna
  
• Explicit solutions of the boundary value problems of the theory of thermoelasticity with microtemperatures for elastic circle. PAMM, Proc. Appl. Math. Mech. 11 (2011)
  I. Tsagareli, M. M. Svanadze
  
• L2-rho form for normal coverings of fibre bundles. Int. J. Math. 22 (2011)
  S. Azzali
  
• Local Commutators and Deformations in Conformal Chiral Quantum Field Theories. Int. J. Modern Physics A 26 (2011), 3357–3383
  A. Kukhtina, K.-H. Rehren
  
• Local Extensions of Completely Rational Conformal Quantum Field Theories. Georg-August-Universität Göttingen (2011)
  A. Kukhtina
  
• Local Extensions of Completely Rational Conformal Quantum Field Theories. Georg-August-Universität Göttingen (2011)
  A. Kukhtina
  
• Noncommutative manifolds and Seiberg-Witten equations. Georg-August-Universität Göttingen (2011)
  V. Alekseev
  
• On invariants and scalar chiral correlation functions in N = 1 superconformal field theories. Int. J. Mod. Phys. A 26 (2011), 2007–2025
  H. Knuth
  
• On semi-classical states of quantum gravity and noncommutative geometry. Comm. Math. Phys. 302 (2011), 675–696
  J. Aastrup, J. Grimstrup, R. Nest, M. Paschke
  
• On Turing machines, groupoids, and Atiyha problem. Georg-August- Universität Göttingen (2011)
  L. Grabowski
  
• Periodic Cyclic Cohomology for Smooth Generalized Crossed Products. Université Paris Diderot - Paris 7 (2011)
  O. Gabriel
  
• Principal 2-bundles and their gauge 2-groups. Forum Math. 23 (2011), 565–610
  Ch. Wockel
  
• Quantum Gravity coupled to Matter via Noncommutative Geometry. Classical Quantum Gravity 28 (2011), 075014, 10 pp.
  J. Aastrup, J. Grimstrup, M. Paschke
  
• Spectral flow, index and the signature operator. J. of Topology and Analysis 3 (2011), 37–67
  S. Azzali, C. Wahl
  
• Superconnections and index theory. J. Geometry and Physics 61 (2011), 1601–1624
  A. Kahle
  
• The Index Bundle for Gap-Continuous Families, Morse-Type Index Theorems and Bifurcation. Georg-August-Universität Göttingen (2011)
  N. Waterstraat
  
• Universal Coefficient Theorems in Equivariant KK-theory. Georg-August-Universität Göttingen (2011)
  M. Köhler
  
• A Bicategory Approach to Differential Cohomology, (2012)
  M. Upmeier
  
• A CharacterizationTheorem for Local Operators in Factorizing Scattering Models. Georg-August-Universität Göttingen (2012)
  D. Cadamuro
  
• A K-theoretic proof of the Morse Index Theorem in semi-Riemannian Geometry. Proc. Amer. Math. Soc., 140, 2012, 337-349
  N. Waterstraat
  
• Amenability and vanishing of L2-Betti numbers: an operator algebraic approach. J. Funct. Anal., 263(4):1103–1128, 2012
  Vadim Alekseev and David Kyed
  
• Composition theorems for paired Lagrangian distributions. Georg-August- Universität Göttingen (2012)
  N. Nguyen
  
• Distribution of rational points on algebraic varieties. Courant Institute of Mathematical Sciences, New York University (2012)
  T. Sho
  
• Explicit GL(2) trac formulas and uniform, mixed Weyl laws. Georg-August- Universität Göttingen (2012)
  M. Palm
  
• Higher Lefschetz invariants for foliated manifolds. Georg-August-Universität Göttingen (2012)
  A. Fermi
  
• Homeomorphisms between limbs of the Mandelbrot set. Proc. Amer. Math. Soc. 140 (2012), 1947-1956
  D. Dudko, D. Schleicher
  
• Homomorphisms of quantum groups, Münster J. of Math. 5 (2012), 1-24
  R. Meyer; S. Roy; S. L. Woronowicz
  
• Index Theory and Positive Scalar Curvature. Georg-August-Universität Göttingen (2012)
  D. Pape
  
• Integrable QFT and Longo-Witten endomorphisms. Ann. Henri. Poincaré. 16 (2) (2012) 569–608
  M. Bischoff; Y. Tanimoto
  
• Local Equilibrium States in Quantum Field Theory in Curved Spacetime. Georg-August-Universität Göttingen (2012)
  C. Solveen
  
• Local Thermal Equilibrium and KMS states in Curved Spacetime. Class. Quant. Grav. 29 (2012), 245015
  C. Solveen
  
• Quantum Field Theory in static external potentials and Hadamard states. Ann. Henri Poincaré 13 (2012), 1841–1871
  M. Wrochna
  
• Superconformal Invariants and Correlation Functions. Georg-August-Universität Göttingen (2012)
  H. Knuth
  
• The Decoration Theorem of the Mandelbrot Set and Applications in Holomorphic Dynamics. Jacobs University Bremen (2012)
  D. Dudko
  
• The Geometry of the Milnor Number. Georg-August-Universität Göttingen (2012)
  A. Szawlowski
  
• Categorification and applications in topology and representation theory. Georg-August-Universität Göttingen (2013)
  D. Tubbenhauer
  
• Conformal Properties of Generalized Dirac Operator. Georg-August-Universität Göttingen (2013)
  V.Thakre
  
• K-theory, cyclic cohomology and pairings for quantum Heisenberg manifolds. J. Noncom. Geom. 7 2013 301-333
  O. Gabriel
  
• Morita “Equivalences” of Equivariant Torus Spectral Triples, Lett Math Phys (2013) 103: 131
  J. J. Venselaar
  
• On a variational principle in thermodynamics. Continuum Mech. Thermodyn. (2013) 25: 779
  J. Merker; M. Krüger
  
• On–shell extension of distributions. Ann. Henri Poincaré (2013)
  D. Bahns; M. Wrochna
  
• Singularities of two-point functions in Quantum Field Theory. Georg- August-Universität Göttingen (2013)
  M. Wrochna
  
• Six-term exact sequences for smooth generalized crossed products. J. Noncommut. Geom. 7 (2013), no. 2, 499–524
  O. Gabriel, M. Grensing
  
• The equality of the homogeneous and the Gabor wave front set, (2013)
  R. Schulz and P. Wahlberg
  
• The global wave front set of tempered oscillatory integrals with inhomogeneous phase functions. J. Fourier Anal. Appl. 19 (2013), no. 5, 1093–1121
  S. Coriasco; R. Schulz
  
• Unruh Effect and the Concept of Temperature. Class. Quant. Grav. 30 (2013), 085011
  D. Buchholz; C. Solveen
  
• “An operator expansion for integrable quantum field theories”, J. Phys. A: Math. Theor. 46, 095401 (2013)
  H. Bostelmann, D. Cadamuro
  
• “Quantum Energy Inequality for the Massive Ising Model”, Physical Review D 88: 025019 (2013)
  H. Bostelmann, D. Cadamuro, C. J. Fewster
  
• Algebraic Structure and Integration in Generalized Differential Cohomology. Georg-August-Universität Göttingen (2014)
  M. Upmeier
  
• Amenable groups and a geometric view on unitarisibility. Universität Leipzig (2014)
  P. Schlicht
  
• Borel-Weil-Bott Theorem via Equivariant McKean-Singer Formula
  S.Hong
  
• Construction of Hadamard states by pseudo–differential calculus. Comm. Math. Phys. 325 (2) (2014), 713–755
  C. Gérard; M. Wrochna
  
• C∗-quantum groups with projection. Georg-August-Universität Göttingen (2014)
  S. Roy
  
• Existence of solutions of quasilinear elliptic equations on manifolds with conic points. Georg-August-Universität Göttingen (2014)
  T.. Nguyen
  
• Fixed points of compact quantum groups actions on Cuntz algebras. Ann. Henri Poincaré 15 (2014), no. 5, 1013–1036
  O. Gabriel
  
• Higher Groupoid Actions, Bibundles, and Differentiation. Georg-August-Universität Göttingen (2014)
  D. Li
  
• Invariant states of quantum birth and death chains
  D. Bücher
  
• Microlocal Analysis of Tempered Distributions. Georg-August-Universität Göttingen (2014)
  R. Schulz
  
• Microlocal properties of bisingular operators. J. Pseudo-Differ. Oper. Appl. 5 (2014), no. 1, 43–67
  M. Borsero; R. Schulz
  
• Modular structure of chiral Fermi fields in conformal quantum field theory. Georg-August-Universität Göttingen (2014)
  G. Tedesco
  
• Non-classical problems for viscoelastic solids with microstructure. Georg- August-Universität Göttingen and Ivane Javakhishvili Tbilisi State University (2014)
  M. Svanadze
  
• On Turing dynamical systems and the Atiyah problem. Invent. Math., 198(1):27-69, 2014
  Ł. Grabowski
  
• Quantum group-twisted tensor products of C∗-algebras, Internat. J. of Math. 25 (2014), no.2 1450019, 37
  R. Meyer; S. Roy; S. Woronowicz
  
• SG-Lagrangian submanifolds and their parametrization, (2014)
  S. Coriasco and R. Schulz
  
• sl3-web bases, intermediate crystal bases and categorification. J. Algebraic Combin. 40 (2014), no. 4, 1001–1076
  D. Tubbenhauer
  
• The sl3-web algebra. Math. Z. 277 (2014), no. 1-2, 401–479
  Mackaay, M.; Pan, W.; D. Tubbenhauer
  
• Topological construction of C∗-correspondences for groupoid C∗-algebras. Georg-August-Universität Göttingen (2014)
  R. Holkar
  
• Virtual Khovanov homology using cobordisms. J. Knot Theory Ramifications 23 (2014), no. 9, 1450046, 91 pp.
  D. Tubbenhauer
  
• 4-sphere with non central radius and its instanton sheaf
  Lucio S. Cirio, C. Pagani
  
• A classification of localizing subcategories by relative homological algebra. Georg-August-Universität Göttingen (2015)
  G.. Nadareishvili
  
• A colimit construction for groupoids. Georg-August-Universität Göttingen (2015)
  S. Albandik
  
• Algebraic Structure and Integration Maps in Cocycle Models for Differential Cohomology. Algebr. Geom. Topol. 15 (2015), 65–83
  M. Upmeier
  
• Analytic singularities near radial points. Georg-August-Universität Göttingen (2015)
  J. Zheng
  
• Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case. Documenta Math. 20 (2015) 1137– 1184
  M. Bischoff; Y. Kawahigashi; R. Longo
  
• Characterization of local observables in integrable quantum field theories', (2015)
  H. Bostelmann, D. Cadamuro
  
• Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy. SIGMA. 11 (2015), 028-1–028-20
  O. I. Chvartatskyi, Yu. M. Sydorenko
  
• Duflo Isomorphism and Chern-Weil Theory
  S. Hong
  
• Geometric twisted K-homology, T-duality isomorphism and T-duality for circle actions. Georg-August-Universität Göttingen (2015)
  B. Liu
  
• Haagerup property for Drinfeld doubles, Math. Proc. R. Ir. Acad. 115A (2015), no. 2, 9
  S. Roy
  
• Harish-Chandra’s volume formula via Weyl’s Law and Euler-Maclaurin formula. Differ. Geom. Appl. 38 (2015) 58-68
  S. Hong
  
• Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions, (2015)
  M. Cappiello and R. Schulz
  
• Product systems over Ore monoids. Doc. Math. 20 (2015), 1331–1402
  R. Meyer, S. Albandik
  
• Quotients of spectra of almost factorial domains and Mori dream spaces
  M. Maslovaric
  
• Tensor categories of endomorphisms of von Neumann algebras (with applications to Quantum Field Theory). Springer- Briefs in Math. Phys. 3 (2015) 1–94
  M. Bischoff; Y. Kawahigashi; R. Longo; K.-H. Rehren
  
• The Drinfeld double for C∗-algebraic quantum groups, J. Operator Theory 74 (2015), no. 2, 485–515
  S. Roy
  
• The Geometry of Quantum Lens Spaces: Real Spectral Triples and Bundle Structure. Math Phys Anal Geom 18:9 (2015)
  A. Sitarz.; J. J. Venselaar
  
• Vanishing of ℓ2-cohomology as a computational problem. Bull. London Math. Soc. (2015) 47 (2): 233-247
  Ł. Grabowski
  
• ’Riemann Equations’ in Bidifferential Calculus. J.Math.Phys. 56 (2015), 103512-1–103512-36
  O. Chvartatskyi, F. Müller-Hoissen, N. Stoilov
  
• A Lie-algebraic approach to the local index theorem on compact homogeneous spaces. Adv. Math. 296 (2016) 127-153
  S. Hong
  
• Airy equation for the topological string partition function in a scaling limit. Lett. Math. Phys. 106 (2016), no. 6, 719–729
  M. Alim, Sh.-T. Yau, J. Zhou
  
• Braided Actions of DHR Categories and Reconstruction of Chiral Conformal Field Theories. Georg-August-Universität Göttingen (2016)
  L. Giorgetti
  
• Braided actions of DHR categories and reconstruction of chiral conformal field theories. Georg-August-Universität Göttingen, PhD thesis (2016)
  L. Giorgetti
  
• Braided quantum SU(2) groups , J. Noncommut. Geom. 10 (2016), no. 4, 1611-1625
  P. Kasprzak; R. Meyer; S. Roy; S. Woronowicz
  
• Coarse Geometry for Noncommutative Spaces. Georg-August-Universität Göttingen (2016)
  T. Banerjee
  
• Colimits in the correspondence bicategory. Münster J. Math. 9 (2016), 51–76
  R. Meyer, S. Albandik
  
• Critical exponents for semilinear Tricomi-type equations. Georg-August-Universität Göttingen (2016)
  D. He
  
• Gauss-Manin connection in disguise: Calabi-Yau threefolds. Comm. Math. Phys. 344 (2016), no. 3, 889–914
  M. Alim, H. Movasati, E. Scheidegger, Sh.-T. Yau
  
• Homotopy moment maps. Advances in Mathematics 303 (2016), 954–1043
  M. Callies; Y. Frégier; C. L. Rogers; M. Zambon
  
• Irrational ℓ2 invariants arising from the lamplighter group. Groups Geom. Dyn. 10 (2016), no. 2, 795–817
  Ł. Grabowski
  
• Matter Power Spectrum in Hidden Neutrino Interacting Dark Matter Models: A Closer Look at the Collision Term. JCAP 1611 (2016), 043
  Binder, Tobias and Covi, Laura and Kamada, Ayuki and Murayama, Hitoshi and Takahashi, Tomo and Yoshida, Naoki
  
• On an analogue of L2-Betti numbers for finite field coefficients and a question of Atiyah. Georg-August-Universität Göttingen (2016)
  J. Neumann
  
• Permuting actions, moment maps and the generalized Seiberg-Witten equations. Georg-August-Universität Göttingen (2016)
  M. Callies
  
• Phase boundaries in algebraic conformal QFT. Comm. Math. Phys. 342 (1) (2016) 1–45
  M. Bischoff; Y. Kawahigashi; R. Longo; K.-H. Rehren
  
• Positive scalar curvature and product formulas for secondary index invariants. J. Topol. 9 (2016), 687-724
  R. Zeidler
  
• Quantum group-twisted tensor products of C∗-algebras-II, J. Noncommut. Geom. 10 (2016), no. 3, 859-888
  R. Meyer; S. Roy; S. Woronowicz
  
• Refinements of the Chern-Dold character: cocycle additions in differential cohomology. J. Homotopy Relat. Struct. 11 (2016), 291–307
  M. Upmeier
  
• Secondary large-scale index theory and positive scalar curvature. Georg- August-Universität Göttingen (2016)
  R. Zeidler
  
• Self-Consistent Sources for Integrable Equations via Deformations of Binary Darboux Transformations. Lett. Math. Phys. 106 (2016), 1139–1179
  O. Chvartatskyi, A. Dimakis, F. Müller-Hoissen
  
• Wedge-local observables in the deformed sine-Gordon model
  D. Cadamuro, Y. Tanimoto
  
• Wedge-local fields in interacting quantum field theories with bound states. Oberwolfach Reports for the Oberwolfach Workshop 1630 “Recent Mathematical Developments in Quantum Field Theory”
  D. Cadamuro
  
• An index obstruction to positive scalar curvature on fiber bundles over aspherical manifolds. Algebr. Geom. Topol. 17 (2017), 3081-3094
  R. Zeidler
  
• Bantay’s trace in unitary modular tensor categories. Adv. Math. 319 (2017), 211–223
  L. Giorgetti; K.-H. Rehren
  
• Braided categories of endomorphisms as invariants for local quantum field theories. Comm. Math. Phys. (2017)
  L. Giorgetti; K.-H. Rehren
  
• Diagram categories for Uq-tilting modules at roots of unity. Transform. Groups 22 (2017), no. 1, 29–89
  Andersen, H. H.; D. Tubbenhauer
  
• Duality for convex monoids, Order 34 (2017), no. 2, 349-362
  F. Roumen; S. Roy
  
• Early kinetic decoupling of dark matter: when the standard way of calculating the thermal relic density fails. Physical Review D
  Binder, Tobias and Bringmann, Torsten and Gustafsson, Michael and Hryczuk, Andrzej
  
• Faithful actions of locally compact quantum groups on classical spaces, Lett. Math. Phys. 107 (2017), no. 7, 1375-1390
  D. Goswami; S. Roy
  
• Generalized Volterra lattices: binary Darboux transformations and self-consistent sources. J. Geom. Phys. 113 (2017), 226–238
  O. Chvartatskyi, F. Müller-Hoissen, K. Toda
  
• Khovanskii bases of Cox-Nagata rings and tropical geometry. (2017)
  Georg Merz; Martha Bernal, Daniel Corey, Maria Donten-Bury, Naoki Fujita
  
• NLS breathers, rogue waves, and solutions of the Lyapunov equation for Jordan blocks. J. Phys. A: Math. Theor. 50 (15) (2017), 1–18
  O. Chvartatskyi, F. Müller-Hoissen
  
• Noncommutative principal bundles through twist deformation
  Paolo Aschieri, Pierre Bieliavsky, C. Pagani, Alexander Schenkel
  
• On semilinear Tricomi equations with critical exponents or in two space dimensions. (2017)
  D. He, I. Witt, H. Yin
  
• On the global solution problem for semilinear generalized Tricomi equations, I. Calc. Var. (2017) 56: 21
  D. He, I. Witt, und H. Yin
  
• On the global solution problem for semilinear generalized Tricomi equations, II. (2017)
  D. He, I. Witt, H. Yin
  
• On the Mori Theory of Bott-Samelson Varieties. (2017)
  Georg Merz; Henrik Seppänen, David Schmitz
  
• On weak Lie 3-algebras
  M. Dehling
  
• Properads and Homotopy Algebras Related to Surfaces. (2017)
  M. Doubek; B. Jurco; L. Peksova
  
• Quantum energy inequalities in integrable quantum field theories. Proceedings of the Fourteenth Marcel Grossman Meeting on General Relativity
  D. Cadamuro
  
• Ricci flow and local invariants of 4-dimensional Riemannian manifolds. Georg-August-Universität Göttingen (2017)
  I. Tergiakidis
  
• Scattering Resonances for Polyhedral Obstacles. Georg-August-Universität Göttingen (2017)
  M. Lippl
  
• Semidirect products of C∗-quantum groups: multiplicative unitaries approach, Commun. Math. Phys. 351 (2017), no. 1, 249-282
  R. Meyer; S. Roy; S. Woronowicz
  
• Some Remarks on the Hyperkähler Reduction. (2017)
  Robin Raymond
  
• The decoration theorem for Mandelbrot and multibrot sets. Int. Math. Res. Not. IMRN 2017, no. 13, 3985–4028
  D. Dudko
  
• Wedge-local fields in integrable models with bound states II. Diagonal S-matrix. Ann. Henri Poincaré 18 (2017), 233–279
  D. Cadamuro; Y. Tanimoto
  
• The maximal quantum group-twisted tensor product of C∗- algebras, J. Noncommut. Geom.
  S. Roy; T. Timmermann
  
• Braided multiplicative unitaries as regular objects
  D. Bücher, S. Roy
  
• Braided multiplicative unitaries as regular objects
  Ralf Meyer; Sutanu Roy
  
• Multi-Gieseker semistability and moduli of quiver sheaves
  M. Maslovaric; Henrik Seppänen
  
• Noncommutative coarse geometry
  T. Banerjee; R. Meyer
  
• Symmetric homotopy theory for operads
  M. Dehling, B. Vallette