GRK 1463:  Analysis, Geometrie und Stringtheorie

• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2008 bis 2017
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 43618843

• Erstellungsjahr: 2018

Zusammenfassung der Projektergebnisse

Das Graduiertenkolleg Analysis, Geometrie und Stringtheorie hat durch seine Forschungsergebnisse ebenso wie durch seine Schulen und Tagungen national und international hohe Sichtbarkeit erlangt. Es ist uns gelungen, für das Kolleg sehr gute Promovierende zu gewinnen. Neun Promotionen wurden mit der Bestnote summa cum laude ausgezeichnet, darunter die von Simon Brandhorst, der damit den Wissenschaftspreis Hannover 2018 errang. Über Auslandsaufenthalte und vielfältige Konferenzteilnahmen wurden die Doktorandinnen und Doktoranden erfolgreich in das internationale Forschungsumfeld eingebunden. Viele der Postdocs und bereits einige der Doktorandinnen und Doktoranden haben permanente Stellen im akademischen Bereich gefunden. Die Arbeit der beteiligten Wissenschaftlerinnen und Wissenschaftler hat durch die Publikation ihrer Arbeiten in hervorragenden Zeitschriften wie ‘Annals of Mathematics’, ‘Inventiones Mathematicae’ und ‘Journal of High Energy Physics’, einen ERC Starting Grant durch Matthias Schütt und einen ERC Advanced Grant als Co-PI durch das assoziierte Mitglied Reinhard Werner sowie zahlreiche Konferenz- und Vortragseinladungen im In- und Ausland vielfältige Anerkennung erfahren. Zwischen den beteiligten Instituten hat sich eine rege Zusammenarbeit entwickelt, die sich sowohl in gemeinsamen Aktivitäten in der Lehre als auch in gemeinsamen Publikationen niedergeschlagen hat. Unter den Studierenden stießen die interdisziplinären Lehrangebote und Forschungsaktivitäten auf großes Interesse. Das Graduiertenkolleg hat auf diese Weise sowohl zur Vernetzung innerhalb der Mathematik und als auch zur Zusammenarbeit zwischen Mathematik und Theoretischer Physik beigetragen. Mit seinem Vorlesungsund Vortragsprogramm, den Workshops und Schulen hat es das wissenschaftliche Leben deutlich bereichert und einen neuen Schwerpunkt in der Fakultät geschaffen. Das Riemann Center for Geometry and Physics, das 2012 aus dem GRK heraus gegründet wurde und mit vielfältigen Workshops und Sommerschulen sowie den Riemann Fellowships zum internationalen Austausch beiträgt, ist sichtbares Zeichen der strukturellen Wirkung des GRK. Insgesamt war das GRK ein Glücksfall: für die Doktorandinnen und Doktoranden, weil es ihnen eine Ausbildung gegeben hat, mit der sie sowohl im akademischen als auch im privatwirtschafltichen Sektor punkten konnten, für die Postdoktorandinnen und Postdoktoranden, weil es ihre Karriere zum Teil deutlich beflügelt hat, für die beteiligten Wissenschaftlerinnen und Wissenschaftler, weil in der Kooperation neue Forschungsfelder erschlossen und ausgezeichnete Resultate erzielt wurden, und für die Fakultät, weil es maßgeblich zur Zusammenarbeit der beteiligten Institute und zum Zusammenwachsen der 2004 neu gegründeten Fakultät für Mathematik und Physik beigetragen hat.

Projektbezogene Publikationen (Auswahl)

• Chains of skyrmions, JHEP 2008(12), 093-093, 2008
  D. Harland, R. S. Ward
  
• Differential geometric aspects of thett∗-equations, From Hodge theory to integrability and TQFT tt*-geometry, Proc. Sympos. Pure Math. 78 Amer. Math. Soc. Providence, RI, 2008, 75-86
  V. Cortés, L. Schäfer
  
• On tt∗-bundles and related pluriharmonic maps, Proceedings of the International Conference “Differential Geometry-Dynamical Systems”, BSG Proc., 15, Geom. Balkan Press (2008), 198-210
  L. Schäfer
  
• Variations of (para-)Hodge structures and their period maps in tt∗-geometry, Algebra Geom. Vol. 49 (2008), no. 1, 285-300
  L. Schäfer
  
• Cyclic coverings, Calabi-Yau manifolds and Complex multiplication, Lecture Notes in Mathematics 1975, Springer-Verlag (2009) Berlin, Heidelberg
  J.-C. Rohde
  
• Duality Covariant Quantum Field Theory on Noncommutative Minkowski space, J. High Energy Phys. 0902 (2009) 031
  A. Fischer, R.J. Szabo
  
• Dynamics of Periodic Monopoles, Phys. Lett. B 675 (2009), 262-266
  D. Harland, R. S. Ward
  
• Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices, Nucl. Phys. B 821 (2009) 380-398
  D. Harland, S. Kürkçüoglu
  
• Geometric structures on Lie groups with flat bi-invariant metric, Journal of Lie Theory 19 (2009), 423-437
  V. Cortés, L. Schäfer
  
• Kinks, chains, and loop groups in the CP n sigma models, J. Math. Phys. 50 (2009) 122902
  D. Harland
  
• Maximal automorphisms of Calabi-Yau manifolds versus maximally unipotent monodromy, Manuscripta Math. 131 (2009), 459-474
  J.-C. Rohde
  
• Nonlinear integral equations and determinant formulae of the open XXZ spin chain, J. Phys. A 42 (2009), no. 11, 115202, 17 pp.
  A. Seel, T. With
  
• The Kodaira Dimension of Lefschetz Fibrations, Asian J. Math., 13 (2009) no. 3 341–358
  J. Dorfmeister, W. Zhang
  
• The noncommutative sine-Gordon breather, J. Math. Phys. 50 (2009) 095201
  A. Fischer, O. Lechtenfeld
  
• The projective McKay correspondence, Int. Math. Res. Not. IMRN 2009, no. 8, 1355-1387
  C. Brav
  
• Two-dimensional steady edge waves. Part I: Periodic waves, Wave Motion 46 (2009), no. 6, 363-371
  M. Ehrnström, J. Escher, B. Matioc
  
• Two-dimensional steady edge waves. Part II: Solitary waves, Wave Motion 46 (2009), no. 6, 372-378
  M. Ehrnström, J. Escher, B. Matioc
  
• Correlation functions of the integrable isotropic spin-1 chain at finite temperature, J. Stat. Mech. (2010) P11011
  F. Göhmann, A. Seel, J. Suzuki
  
• Decomposition and minimality of Lagrangian submanifolds in nearly Kähler manifolds, Ann. Global Anal. and Geom. 37 (2010), 221-240
  L. Schäfer, K. Smoczyk
  
• Dimer models and Calabi-Yau algebras, Oberwolfach Report, Volume 7, Issue 2, 2010
  N.T. Broomhead
  
• Extremal Quantum Correlations and Cryptographic Security, Phys. Rev. Lett. 106, 250502
  T. Franz, F. Furrer, R. F. Werner
  
• Heterotic compactifications on nearly Kähler manifolds, [hep-th] (01.07.2010). JHEP 1009 (2010) 074
  O. Lechtenfeld, C. Nölle, A.D. Popov
  
• Heterotic compactifications on nearly Kähler manifolds, JHEP 1009 (2010) 074
  O. Lechtenfeld, C. Nölle, A.D. Popov
  
• Nearly pseudo-Kähler and nearly para-Kähler six-manifolds, Published in Handbook of pseudo-Riemannian geometry and supersymmetry, IRMA Lect. Math. Theor. Phys. 16, EMS Publ. House, Zürich (2010)
  L. Schäfer, F. Schulte-Hengesbach
  
• Rational Cohomology of R¯2 (and S¯2)
  S. Krug
  
• Some mirror partners with complex multiplication, Commun. Number Theory Phys. 4 (2010) no. 3, 597-607
  J.-C. Rohde
  
• Some Mirror partners with Complex multiplication,(04.06.2010). Comm. Number Theory and Physics (2010), 597-607
  Christian Rohde
  
• The Relative Symplectic Cone and T2− fibrations, J. of Symplectic Geom. 8 (2010), no. 1, 1-35
  J. Dorfmeister, T.-J. Li
  
• UV/IR Duality in Noncommutative Quantum Field Theory. General Relativity and Gravitation 43 (2010) 2509-2522
  A. Fischer, R.J. Szabo
  
• Yang-Mills instantons and dyons on homogeneous G2-manifolds, [hep-th] (11.06.2010). JHEP 1010 (2010) 044
  I. Bauer, T.A. Ivanova, O. Lechtenfeld, F. Lubbe
  
• Yang-Mills flows on nearly Kähler manifolds and G2 instantons, Commun. Math. Phys. 300 (2010) 185-204
  D. Harland, T.A.Ivanova, O. Lechtenfeld, A.D. Popov
  
• A variational approach to dislocation problems for periodic Schrödinger operators. J. Math. Anal. Appl. 381 (2011) 166-178
  R. Hempel, M. Kohlmann
  
• Braid groups and Kleinian singularities, Math. Ann. 351 (2011), no. 4, 1005-1017
  C. Brav, H. Thomas
  
• Chern-Simons flows on Aloff-Wallach spaces and Spin(7)-instantons. Phys.Rev.D 83(2011)105028
  A.S. Haupt,T.A. Ivanova, O. Lechtenfeld, A.D. Popov
  
• Functional Bethe ansatz methods for the open XXX chain. J. Phys. A 44 (2011), no. 1, 015001, 19 pp.
  H. Frahm, J. H. Grelik, A. Seel, T. Wirth
  
• Geometric aspects of the periodic µ-Degasperis-Procesi equation. Progr. Nonlinear Differential Equations Appl. 80 (2011) 193-209
  J. Escher, M. Kohlmann, B. Kolev
  
• Geometric Interpretations of a Counterexample to Hilbert’s 14th Problem, and Rings of Bounded Polynomials on Semialgebraic Sets
  S. Krug
  
• Global existence and blow-up for a weakly dissipative µDP equation. Nonlinear Analysis TMA 74 (2011) 4746-4753
  M. Kohlmann
  
• Half-flat Structures and Special Holonomy, Proc. Lond. Math. Soc. 3 (2011) no. 1, 113-158
  V. Cortés, T. Leistner, L. Schäfer, F. Schulte-Hengesbach
  
• Hopf solutions and elastic rods, Phys. Review D, 83(6) 2011
  D. Harland, J.M. Speight, P.M. Sutcliffe
  
• Isometric embedding of semi-Riemannian metrics into Minkowski space, Analysis 31 (2011), 313-329
  M. Bergner, L. Schäfer
  
• Mean curvature flow of space-like Lagrangian submanifolds in almost para-Kähler manifolds, Calculus of Variations and Partial Differential Equations 41, no. 1-2 (2011), 111–125
  M. Chursin, L. Schäfer, K. Smoczyk
  
• Min- and Max-Entropy in Infinite Dimensions, Commun. Math. Phys. 306, 165-186 (01.02.2011)
  F. Furrer, J. Aberg, R. Renner
  
• Min- and Max-Entropy in Infinite Dimensions, Commun. Math. Phys. 306, 165-186, 2011
  Aberg, F. Furrer, R. Renner
  
• Noncommutative deformation of the Ward metric, (Talk by O.L. at the Workshop on Noncommutative Field Theory and Gravity, Corfu Summer Institute on Elementary Particles and Physics, Corfu, Greece, 04-18 September 2011)
  M. Goffeng, O. Lechtenfeld
  
• On the structure of nearly pseudo-Kähler manifolds, Monatsh. Math. 163 (2011), no. 3, 339-371
  L. Schäfer
  
• On time-like Willmore surfaces in Minkowski space, Journal of Geometry and Physics 61, no. 10 (Oct.2011), 1985-1995
  M. Bergner, L. Schäfer
  
• Picard-Fuchs equations of special one-parameter families of invertible polynomials, Dissertation (2011)
  S. Gährs
  
• Propagators and matrix basis on noncommutative Minkowski space, Phys. Rev. D 84 (2011) 125010
  A. Fischer, R.J. Szabo
  
• Spectral properties of grain boundaries at small angles of rotation. J. Spectr. Theory 1 (2011) 197-219
  R. Hempel, M. Kohlmann
  
• Steady water waves with multiple critical layers, SIAM J. Math. Anal. 43 (2011), 1436 –1456
  M. Ehrnström, J. Escher, E. Wahlen
  
• The curvature of semidirect product groups associated with two-component Hunter- Saxton systems. J. Phys. A: Math. Theor. 44 (2011) 225203 (17 pp.)
  M. Kohlmann
  
• The geometry of the two-component Camassa-Holm and Degasperis-Procesi equations, J. Geom. Phys. 61 (2011), 436-452
  J. Escher, M. Kohlmann, J. Lenells
  
• The large N limit of the Nahm transform, Commun. Math. Phys. 311, 689-712 (2011)
  D. Harland
  
• The periodic two-dimensional b-equation on the diffeomorphism group of the torus, J. Phys. A 44 (2011), no. 46, 465205, 17 pp.
  M. Kohlmann
  
• The periodic µ-b-equation and Euler equations on the circle. J. Nonlinear Math. Phys. 18 (2011) 1-8
  M. Kohlmann
  
• The quantum Cartan algebra associated to a bicovariant differential calculus, Rep. Math. Phys. 68 (2011), no. 3, 319-346
  L.S. Cirio, C. Pagani, A. Zampini
  
• Time-like surfaces of prescribed anisotropic mean curvature in Minkowski space, Discrete Contin. Dyn. Syst. 2011, Dynamical systems, differential equations and applications. 8th AIMS Conference. Suppl. Vol. I, 155-162
  M. Bergner, L. Schäfer
  
• Well-posedness, instabilities, and bifurcation results for the flow in a rotating Hele-Shaw cell, . J. Math. Fluid Mech. 13 (2011), 271–293
  M. Ehrström, J. Escher, B. Matioc
  
• Yang-Mills instantons on cones and sinecones over nearly-Kähler manifolds. JHEP 1109 (2011) 103
  K.-P. Gemmer, O. Lechtenfeld, C. Nölle, A.D. Popov
  
• Averaging t-structures and extension closure of aisles, Journal of Algebra 394, 51-78 (2012)
  N.T. Broomhead, D. Pauksztello, D. Ploog
  
• Calabi-Yau manifolds and generic Hodge groups, Asian J. Math. 16 (2012), no. 4, 745-773
  J.-C. Rohde
  
• Continuous Variable Quantum Key Distribution: Finite-Key Analysis of Composable Security against Coherent Attacks, Phys. Rev. Letter 109, 100502, Erratum (2014): Phys. Rev. Letter 112, 019902
  F. Furrer, T. Franz, M. Berta, A. Leverrier,V. B. Scholz, M. Tomamichel, R.F. Werner
  
• Dimer models and Calabi-Yau algebras, Mem. Amer. Math. Soc., 215 (2012), no. 1011, viii+86. MR 2908565
  N.T. Broomhead
  
• Dimer models and Calabi-Yau algebras, Memoirs of the American Mathematical Society, v. 215
  N.T. Broomhead
  
• Dislocation problems for periodic Schrödinger operators and mathematical aspects of small angle grain boundaries. Spectral theory, mathematical system theory, evolution equations, differential and difference equations, 421-432, Oper. Theory Adv. Appl., 221, Birkhäuser, Basel, 2012
  R. Hempel, M. Kohlmann
  
• Foliations of semi-Riemannian manifolds, Results in Mathematics 61 (2012) 97-126. 165
  L. Schäfer
  
• Homogeneous heterotic supergravity solutions with linear dilaton, J. Phys. A: Math. Theor. 45 (2012) 045402
  C. Nölle
  
• Instantons and Killing Spinors, JHEP 2012 (3) (2012)
  D. Harland, C. Nölle
  
• Lifshitz black holes in IIA supergravity , JHEP 1205 (2012) 122
  L. Barclay, R. Gregory, S. Parameswaran, G. Tasinato, I. Zavala
  
• Micro-Structure Models of Diffusion in Fissured Media,. J. Evol. Equ. 12 (2012), no. 2, 459-480
  J. Escher, D. Treutler
  
• On initial boundary value problems for variants of the Hunter-Saxton equation, Z. Angew. Math. Phys. 63 (2012), no. 3, 441-452
  M. Kohlmann
  
• Revisiting Coupling Selection Rules in Heterotic Orbifold Models., JHEP 1205 (2012) 008
  T. Kobayashi, S. L. Parameswaran, S. Ramos-Sanchez, I. Zavala
  
• Singularities of ball quotients, Geom. Dedicata 159, 39-407 (2012)
  N. Behrens
  
• Well posedness for a quasilinear generalisation of the matched microstructure mode, Nonlinear Anal. B: Real World Appl.2: 13 (2012), pp. 2622-2632
  D. Treutler
  
• Accidental SUSY: Enhanced Bulk Supersymmetry from Brane Back-reaction, JHEP 1302 (2013) 120
  C. P. Burgess, L. van Nierop, S. Parameswaran, A. Salvio and M. Williams
  
• All complete intersection Calabi-Yau four-folds, JHEP 1307 (2013) 070
  J. Gray, A.S. Haupt and A. Lukas
  
• Heterotic G2-manifold compactifications with fluxes and fermionic condensates, JHEP 1311 (2013) 182
  K.-P. Gemmer and O. Lechtenfeld
  
• Heterotic string plus fivebrane systems with asymptotic AdS3, Adv. Theor. Math. Phys. 17 (2013) 771-827
  K.-P. Gemmer, A. Haupt, O. Lechtenfeld, C. Nölle and A.D. Popov
  
• Lorentzian Legendrian Mean Curvature Flow, Mathematische Zeitschrift 274, no. 3 (2013), 1093-1111
  L. Schäfer
  
• Minimality of Fiber Sums along Spheres, Asian J. Math. 17 (2013), no. 3, 423-442
  J. Dorfmeister
  
• Non-natural non-symplectic involutions on symplectic manifolds of K3[2]- type
  H. Ohashi, M. Wandel
  
• On the HSL-flow, Calc. Var. Partial Differential Equations 46 (2013), no. 1-2, 311-323
  L. Schäfer
  
• On the HSL-flow, Calc. Var. Partial Differential Equations 46, no. 1 (2013), 311-323
  L. Schäfer
  
• On the inverse of the sum of two sectorial operators. J. Funct. Anal. 265, no. 2, 208-222 (2013)
  N. Roidos
  
• Picard-Fuchs equations of special one-parameter families of invertible polynomials, Arithmetic and geometry of K3 surfaces and Calabi-Yau threefolds, 285-310, Fields Inst. Commun., 67, Springer, New York, 2013
  S. Gährs
  
• R- charge Conservation and More in Factorizable and Non-Factorizable Orbifolds, JHEP 1305 (2013) 076
  N. G. C. Bizet, T. Kobayashi, D. K. M. Pena, S. L. Parameswaran, M. Schmitz and I. Zavala
  
• Relative Ruan and Gromov-Taubes invariants of symplectic 4-manifolds, Commun. Contemp. Math. 15 (2013), no. 1, 1250062, 50 pp.
  J. Dorfmeister, T.-J. Li
  
• Renormalization of vacuum expectation values in spontaneously broken gauge theories, JHEP 1307 (2013) 132
  M. Sperling, D.Stöckinger, and A.Voigt
  
• Sphaleron solutions of the Skyrme model from Yang-Mills holonomy. Phys. Lett. B 723 (2013) 236-240
  Y. Shnir, G. Zhilin
  
• Steady-state fingering patterns for a periodic Muskat problem, Methods Appl. Anal. 20 (2013), no. 1, 33.46
  M. Ehrnström, J. Escher, B. Matioc
  
• The Cahn-Hilliard Equation and the Allen-Cahn Equation on Manifolds with Conical Singularities, Comm. Partial Differential Equations, 38:5, 925-943, (2013)
  N. Roidos, E. Schrohe
  
• AdS6 solutions of type II supergravity, JHEP (2014) 2014:99
  F. Apruzzi, M. Fazzi, A. Passias, D. Rosa, A. Tomasiello
  
• All AdS7 solutions of type II supergravity, J. High Energ. Phys. (2014) 2014: 64
  F. Apruzzi, M. Fazzi, D. Rosa, A. Tomasiello
  
• Autoequivalences of toric surfaces, Proceedings of the American Mathematical Society 142 (4), 1133-1146
  N.T. Broomhead, D. Ploog
  
• Bounded imaginary powers of cone differential operators on higher order Mellin-Sobolev spaces and applications to the Cahn-Hilliard equation, J. Differential Equations 257 (2014) 611-637
  N. Roidos, E. Schrohe
  
• Calabi-Yau Fourfolds in Products of Projective Space, Proc. Symp. Pure Math. 88 (2014) 281-290
  James Gray, Alexander S. Hauptand Andre Lukas
  
• Conical Ricci-flat nearly para-Kähler manifolds, Ann. Global Anal. Geom. 45 (2014), no. 1, 11-24
  L. Schäfer
  
• Discrete R-symmetries and Anomaly Universality in Heterotic Orbifolds, JHEP 1402 (2014) 098
  N. G. Cabo Bizet, T. Kobayashi, D. K. Mayorga Pena, S. L. Parameswaran, M. Schmitz and I. Zavala
  
• Gauged Hopfions, Phys. Rev. D 89 (2014) 105010)
  Ya. Shnir, G. Zhilin
  
• Instantons in six dimensions and twistors, Nucl. Phys. B 882 (2014) 205-218
  T.A. Ivanova, O. Lechtenfeld, A.D. Popov and M. Tormählen
  
• Instantons on sine-cones over Sasakian manifolds, Phys.Rev. D90 (2014) 065028
  S. Bunk, T. A. Ivanova, O. Lechtenfeld, A. D. Popov, M. Sperling
  
• On rational Frobenius manifolds of rank three with symmetries,, Journal of Geometry and Physics, Volume 84 (2014), 73-86
  A. Basalaev, A. Takahashi
  
• Orbifold GW theory as the Hurwitz-Frobenius submanifold, Journal of Geometry and Physics, Volume 77 (2014), 30-42
  A. Basalaev
  
• Order α′ heterotic domain walls with warped nearly Kähler geometry, JHEP 1411 (2014) 152
  A.S. Haupt, O. Lechtenfeld, E.T. Musaev
  
• Preserving closedness of operators under summation. J. Funct. Anal. 266, no. 12, 6938-6953 (2014)
  N. Roidos
  
• Pseudo-holomorphic Curves in nearly Kähler manifolds, Differ. Geom. Appl. 36 (2014), 24–43
  F. Lubbe and L. Schäfer
  
• Quantum Curves for Hitchin Fibrations and the Eynard-Orantin Theory, Letters in Mathematical Physics, vol. 104, no. 5, 635–671, 2014
  O. Dumitrescu, M. Mulase
  
• Renormalization of vacuum expectation values in spontaneously broken gauge theories: Two-loop results, JHEP 1401 (2014) 068
  M. Sperling, D.Stöckinger, and A.Voigt
  
• Scattering theory of the pp-form Laplacian on manifolds with generalized cusps J. Spectr. Theory 4 (2014), no. 1, 177-209
  E. Hunsicker, N. Roidos, A. Strohmaier
  
• Spontaneous symmetry breaking in dual-core baby- Skyrmion systems, Phys. Rev. D 89 (2014) 085021
  B.A. Malomed, Ya. Shnir and G. Zhilin
  
• Stability of tautological bundles on the degree two Hilbert scheme of surfaces, Nagoya Math. J. 214 (2014), 79-94
  M. Wandel
  
• The staggered six-vertex model: conformal invariance and corrections to scaling, Nucl. Phys. B 879 [FS] (2014) 382-406
  H. Frahm, A. Seel
  
• Thin monodromy in Sp(4), Compos. Math. 150 (2014), no. 3, 333-343
  C. Brav, H. Thomas
  
• Topological Invariants and Fibration Structure of Complete Intersection Calabi-Yau Four-Folds, JHEP 1409, 093 (2014)
  James Gray, Alexander S. Hauptand Andre Lukas
  
• Worldsheet instantons and coupling selection rules in heterotic orbifolds. Phys. Part. Nucl. Lett. 11 (2014) no.7, 981
  S. L. Parameswaran and I. Zavala
  
• “All AdS7 solutions of type II supergravity,” JHEP 1404 (2014) 064
  F. Apruzzi, M. Fazzi, D. Rosa, and A. Tomasiello
  
• Curvature Estimates for Graphical Mean Curvature Flow in Higher Codimension, Diss., Leibniz Universität Hannover (2015)
  F. Lubbe
  
• G2 monopoles, Phys. Rev. D 92 (2015) 045025
  Y. Shnir, G. Zhilin
  
• Instantons on Calabi-Yau cones, ucl. Phys. B 901 (2015) 354-381
  M. Sperling
  
• Instantons on conical half-flat 6-manifolds, JHEP 1501 (2015) 030
  S. Bunk, O. Lechtenfeld, A. D. Popov, M. Sperling
  
• Kodaira Dimension of Fiber Sums along Spheres, Geom. Dedicata 177 (2015), 1-25
  J. Dorfmeister
  
• Moduli Spaces of semistable pairs in Donaldson-Thomas Theory, Manuscripta Math. 147 (2015), no. 3-4, 477-500
  M. Wandel
  
• On a notion of speciality of linear systems in P n, a,Trans. Amer. Math. Soc. 367 (2015), 5447-5473
  C. Brambilla, O. Dumitrescu, E. Postinghel
  
• On Global Solutions for Quasilinear One-Dimensional Parabolic Problems with Dynamical Boundary Conditions, J. Differential Equations 259 (2015), 7060-7085
  S. Gvelesiani, F. Lippoth, Ch. Walker
  
• On Segre’s bound for fat points in P n, Journal of Pure and Applied Algebra, vol. 220, no. 6, 2307–2323, 2015
  E. Ballico, O. Dumitrescu, E. Postinghel
  
• On the effective cone of P n blown-up at n + 3 points, Experimental Mathematics, vol. 25, no. 4, 452–465, 2015
  M. C. Brambilla, O. Dumitrescu, E. Postinghel
  
• Sasakian quiver gauge theories and instantons on cones over lens 5-spaces, Nucl. Phys. B 899 (2015) 848-902
  O. Lechtenfeld, A.D. Popov, M. Sperling, R.J. Szabo
  
• Sasakian quiver gauge theories and instantons on cones over lens 5-spaces, Nucl. Phys. B 899 (2015) 848-903
  Olaf Lechtenfeld, Alexander D. Popov, Marcus Sperling, Richard J. Szabo
  
• Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity, Phys.Rev.Lett., 115 (2015) no.6, 061601
  F. Apruzzi, M. Fazzi, A. Passias, A. Rota and A. Tomasiello
  
• SL(2,C) action on cohomological field theories and Gromov–Witten theory of elliptic orbifolds, Oberwolfach report Nr. 22/2015
  A. Basalaev
  
• Spectral triples and finite summability on Cuntz-Krieger algebras, Documenta Math. 20 (2015), p. 89–170
  M. Goffeng, B. Mesland
  
• Supersymmetric AdS5 solutions of massive IIA supergravity, JHEP 1506 (2015) 195
  F. Apruzzi, M. Fazzi, A. Passias and A. Tomasiello
  
• The K-theory of bisingular pseudodifferential algebras, J. Pseudo-Differ. Oper. Appl. (2015) 6:361-382
  K. Bohlen
  
• Traces of Holomorphic Families of Operators on the Noncommutative Torus and on Hilbert Modules. Geometric Methods in Physics. Trends in Mathematics, pp 3–38. Birkhäuser Basel 2015
  S. Azzali, C. Lévy, C. Neira Jimenez, S. Paycha
  
• Tychonoff-like product theorems for local topological properties’, Topology Proc. 45 (2015), 121-138
  Simon F. Brandhorst, Marcel Erné
  
• Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications, JHEP 1502 (2015) 183
  F. Apruzzi, F. F. Gautason, S. Parameswaran, and M. Zagermann
  
• “Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications,” JHEP 1502 (2015) 183
  F. Apruzzi, F. F. Gautason, S. Parameswaran, and M. Zagermann
  
• Boutet de Monvel operators on singular manifolds, C. R. Acad. Sci. Paris, Ser. I 354 (2016), 239-243
  K. Bohlen
  
• Classification of automorphisms on a deformation family of hyper-Kähler fourfolds by p-elementary lattices., Kyoto J. Math. 56 (2016), no. 3, 465-499
  Samuel Boissière, Chiara Camere, Alessandra Sarti
  
• Clusters of eigenvalues for the magnetic Laplacian with Robin condition J. Math. Phys. 57 (2016), no. 6, 063510, 19 pp.
  M. Goffeng, A. Kachmar and M. Persson Sundqvist
  
• Coulomb branches for rank 2 gauge groups in 3d N = 4 gauge theories, JHEP 1608 (2016) 016
  A. Hanany, M. Sperling
  
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