GRK 1692:  Curvature, Cycles and Cohomology

• Subject Area: Mathematics
• Term: from 2010 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 169166737

• Final Report Year: 2020

Final Report Abstract

Das Graduiertenkolleg an der Mathematischen Fakultät der Universität Regensburg wurde fakultätsübergreifend von Wissenschaftlern aus den drei Schwerpunkten der Fakultät • Angewandte Analysis; • Globale Analysis, Geometrie und Topologie; • Arithmetisclie Geometrie getragen. Ausgehend von der Idee, dass das Erlernen von Elementen der allen beteiligten Gebieten gemeinsamen grundlegenden Sprache und Techniken eine fruchtbare Interaktion zwischen den Doktoranden in den verschiedenen Spezialgebieten ermöglichen kann, wurde das Ausbildungs- und Forschungsprogramm konzipiert und umgesetzt. Dieses Umfeld führte zu interessanten Ergebnissen der Forschungsaktivitäten der Doktoranden des Gradiertenkollegs in den beteiligten Spezialgebieten. Aus dem Bereich der Arithmetischen Geometrie wurden Ergbenisse zur arithmetischen Schnittheorie im nicht-archimedischen Fall, zur Theorie der Höhen und zur Theorie der Auflösung von Singularitäten erhalten. Die Beiträge aus dem Bereich der Globalen Analysis, Geometrie und Topologie sind vielfältig. Sie reichen von Ergebnissen über die Topologie des Raumes der Riemannschen Metriken mit vorgegegeben Spektraleigenschaften des assoziierten Diracoperators, der Konstruktion von groben Homologietheorien bis zur Berechnung von Invarianten der Topologie von 3-dimensionalen Mannigfaltigkeiten. Zu diesem Bereich zählen auch die für die mathematische Physik interessanten Fortschritte zum Fermionic-Projector-Ansatz. Die zentrale Frage der im Bereich der angewandten Analysis betrachteten Projekt sind Existenz, Eindeutigkeit und qualitatives Verhalten der Lösungen von geometrischen Evolutionsgleichungen, insbesondere für Netzwerke von Kurven in der Ebene und Flächen im Raum, aber auch für an Spinoren gekoppelte Evolutionen von Riemannschen Metriken und Abbildmigen. Neben der fachwissenschaftlichen Ausbildung hat das Graduiertenkolleg durch Aktivitäten im Bereich von Schlüsselqualifikationen, Teamarbeit und durch Vermittlung von allgemeinen Aspekten wissenschaftlicher Arbeit mit Themen wie „Gute wissenschaftliche Praxis" oder „Karrieremöglichkeiten für promovierte Mathematiker (innen)“ zur Entwicklung der Doktoranden beigetragen.

Publications

• Minimal elastic networks, Indiana Univ. Math. J.
  A. DairAcqua, M. Novaga, A. Pluda
  (See online at https://doi.org/10.1512/iumj.2020.69.8036)
• Generic metrics and the mass endomorphism on spin threemanifolds, Ann. Glob. Anal. Geom., 37, pp. 163-171, 2010
  A. Hermann
  (See online at https://doi.org/10.1007/s10455-009-9179-3)
• A Dynamical Bogomolov Property, preprint 2011
  L. Pottmeyer
  (See online at https://doi.org/10.48550/arXiv.1103.1294)
• Homotopy Theoretic Models of Type Theory, in: Typed Lambda Calculi and Applications. Lecture notes in Computer Science 6690, pp. 45-60, Springer, 2011
  P. Arndt, K. Kapulkin
  (See online at https://doi.org/10.1007/978-3-642-21691-6_7)
• A universal deformation ring with unexpected Kruli dimension. Math. Z, 275, pp. 647-652, 2012
  J. Sprang
  (See online at https://doi.org/10.1007/s00209-013-1152-y)
• Classification of traces and associated determinants on odd-class operators in odd dimensions, SIGMA Symmetry, Integrability and Geometric: Methods and Applications, 8, paper 023, 2012
  C. Neira-Jimenez, M. F. Ouedraogo
  (See online at https://doi.org/10.3842/SIGMA.2012.023)
• Dirac eigenspinors for generic metrics, PhD thesis, Universität Regensburg, 2012
  A. Hermann
  (See online at https://doi.org/10.5283/epub.25024)
• Displays and gauges, PhD thesis, Universität Regensburg, 2012
  M. Wid
  (See online at https://doi.org/10.5283/epub.25489)
• Higher congruence companion forms, Acta Arith., 156, pp. 159-175, 2012
  R. Adibhatla, J. Manoharmayum
  (See online at https://doi.org/10.4064/aa156-2-4)
• Characteristic polyhedra of idealistic exponents with history, PhD thesis, Universität Regensburg, 2013
  B. Schober
  (See online at https://doi.org/10.5283/epub.28877)
• Classification of traces and hypertraces on spaces of classical pseudodifferential operators, Noncommut Geom., 7, pp. 457-498, 2013
  M. Lesch, C. Neira-Jimenez
  (See online at https://doi.org/10.4171/JNCG/123)
• Continuity of Dirac Spectra. Ann. Glob. Anal. Geom., 44, pp. 541-563, 2013
  N. Nowaczyk
  (See online at https://doi.org/10.1007/s10455-013-9381-1)
• Fields with the Bogomolov Property, PhD thesis, Universität Regensburg, 2013
  L. Pottmeyer
  (See online at https://doi.org/10.5283/epub.27605)
• Heights and totally real numbers, Rendiconti Lined - Matematica e Applicazioni, 24, pp. 471-483, 2013
  L. Pottmeyer
  (See online at https://doi.org/10.4171/rlm/662)
• Minimal number of points with bad reduction for elliptic curves over P. Rocky Mountain Journal of Mathematics, 43, No. 6, 2013
  J. Sprang
  (See online at https://doi.org/10.1216/RMJ-2013-43-6-2017)
• Modularity of certain mod p^n Galois representations
  R. Adibhatla
  (See online at https://doi.org/10.48550/arXiv.1304.3043)
• Volume comparison for hypersurfaces in Lorentzian manifolds and singularity theorems, Ann. Glob. Anal. Geom., 43, pp. 233-251, 2013
  J.-H. Treude, J.D.E. Grant
  (See online at https://doi.org/10.1007/s10455-012-9343-z)
• Volume-Preserving Mean Curvature and Willmore Flows with Line Tension, PhD thesis, Universität Regensburg, 2013
  L. Müller
  (See online at https://doi.org/10.5283/epub.29195)
• Comparison Theorems between Overconvergent Cohomology and Rigid Cohomology with Coefficient. Oberwolfach Report 32/2014, 1784-1786
  V. Ertl
  
• Deformations of Generalized Complex Branes, preprint, 2014
  B. Collier
  (See online at https://doi.org/10.48550/arXiv.1403.2970)
• Isometric embeddings in bounded cohomology, J. Topol. Anal. 6 (2014), no. 1, 125
  M. Bucher, M. Burger, A. lozzi, R. Frigerio, C. Pagliantini, M.B. Pozzetti
  (See online at https://doi.org/10.1142/S1793525314500058)
• Lokale Schnitttheorie an riicht-archimedischen Stellen für Produkte semistabiler Kurven, PhD thesis, Universität Regensburg. 2013
  J. Kolb
  (See online at https://doi.org/10.5283/epub.28447)
• Mass endomorphism, surgery and perturbations, Ann. Inst. Fourier (Grenoble) 64 (2014), no. 2, 467-487
  B. Ammann, M. Dahl, A. Hermann, E. Humbert
  (See online at https://doi.org/10.5802/aif.2855)
• Optimal control of Allen-Cahn systems, preprint, Trends in PDE constrained optimization, 11-26, Internat. Ser. Numer. Math., 165, Birkhäuser/Springer, Cham., 2014
  L. Blank, M. H. Farshbaf-Shaker, C. Hecht, J. Michl, C. Rupprecht
  (See online at https://doi.org/10.1007/978-3-319-05083-6_3)
• Zero sets of eigenspinors for generic metrics. Comm. Anal. Geom. 22 (2014), no. 2, 177-218
  A. Hermann
  (See online at https://doi.org/10.4310/CAG.2014.v22.n2.a1)
• A characterization of ordinary modular eigenforms with CM, Arithmetic and geometry, 24-35, London Math. Soc. Lecture Note Ser., 420, Cambridge Univ. Press, Cambridge, 2015
  R. Adibhatla and P. Tsaknias
  (See online at https://doi.org/10.1017/CBO9781316106877.007)
• A refinement of Hironaka’s additive group schemes for an extended invariant. Dissertation, Universität Regensburg (2015)
  B. Dietel
  (See online at https://doi.org/10.5283/epub.31359)
• Causal fermion systems as a candidate for a unified physical theory. Journal of Physics: Conference Series. Vol: 626. No. 1. lOP Publishing, 2015
  F. Finster, J. Kleiner
  (See online at https://doi.org/10.1088/1742-6596/626/1/012020)
• Formal asymptotic limit of a diffuse-interface tumor-growth model. Mathematical Models and Methods in Applied Sciences 25, 06, 1011-1043 (2015)
  D. Hilhorst. J. Kampmann, T. N. Nguyen, K. G. Van Der Zee
  (See online at https://doi.org/10.1142/S0218202515500268)
• Heights of points with bounded ramification, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 14 (2015), no. 3, 965-981
  L. Pottmeyer
  (See online at https://doi.org/10.2422/2036-2145.201302_002)
• On convergence of solutions to equilibria for fully nonlinear parabolic problems with nonlinear boundary conditions, J. Evol. Equ. 15 (2015), no. 4, 913-959
  H. Abels, N. Arab, H. Garcke
  (See online at https://doi.org/10.1007/s00028-015-0287-1)
• Stability of Spherical Caps under the Volume-Preserving Mean Curvature Flow with Line Tension, Nonlinear Anal. 117 (2015), 8-37
  H. Abels, H. Garcke, L. Müller
  (See online at https://doi.org/10.1016/j.na.2014.11.020)
• Uniformly finite homology and amenable groups, Algebr. Geom. Topol. 15 (2015), no. 1, 467-492
  M. Blank, F. Diana
  (See online at https://doi.org/10.2140/agt.2015.15.467)
• A coupled surface-Calm-Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes. Mathematical Models and Methods in Applied Sciences 26, 06, 1149-1189 (2016)
  H. Garckc, J. Karnpmann, A. Rätz, M. Röger
  (See online at https://doi.org/10.1142/S0218202516500275)
• About the mass of certain second order elliptic operators, Adv. Math. 294 (2016), 596-633
  A. Hermann, E. Humbert
  (See online at https://doi.org/10.1016/j.aim.2016.03.008)
• Arithmetic Divisors on Products of Curves over non-Arcliimedean Fields, Dissertation, Universität Regensburg (2016)
  P. Vollmer
  (See online at https://doi.org/10.5283/epub.34146)
• Differential cohomology theories as sheaves of spectra, J. Homotopy Relat. Struct. 11 (2016), no. 1, 1-66
  U. Bunke, T. Nikolaus, M. Völkl
  (See online at https://doi.org/10.1007/s40062-014-0092-5)
• Full faithfulness for overconvergent F-de Rhain-Witt connections. Comptesrendus - Mathematique vol. 354, no. 7, pp. 653-658, (2016)
  V. Ertl
  (See online at https://doi.org/10.1016/j.crma.2016.04.004)
• Integral foliated simplicial volume of hyperbolic 3-manitoids. Groups Geom. Dyn. 10 (2016), no. 3, 825-865
  C. Löh, C. Paigliantini
  (See online at https://doi.org/10.5283/epub.35322)
• Local Well-Posedness for Volume-Preserving Mean Curvature and Willmore Flows with Line Tension, Math. Nachr. 289 (2016), no. 2-3, 136-174
  H. Abels, H. Garcke, L. Müller
  (See online at https://doi.org/10.1002/mana.201400102)
• Noether-like theorems for causal variational principles. Calculus of Variations and Partial Differential Equations 55.2 (2016): 35
  F. Finster, J. Kleiner
  (See online at https://doi.org/10.1007/s00526-016-0966-y)
• On the structure of the absolute Galois group of local fields of residue characteristic 2, Dissertation, Universität Regensburg (2016)
  F. Schneider
  (See online at https://doi.org/10.5283/epub.34985)
• Optimal control of elastic vector-valued Allen- Cahn variational inequalities, SIAM J. Control Optim. 54 (2016), no. 1, 129-152
  M. H. Farshbaf-Shaker, C. Hecht
  (See online at https://doi.org/10.1137/130937354)
• Quantum Mathematical Physics: A Bridge Between Mathematics and Physics. Birkhäuser, 2016
  Finster, J. Kleiner, C. Röken, J. Tolksdorf
  (See online at https://doi.org/10.1007/978-3-319-26902-3)
• The fermionic projector in a time-dependent external potential: Mass oscillation property and hadamard states, J. Math. Phys. 57, 072303 (2016)
  F. Finster, S. Murro and C. Röken
  (See online at https://doi.org/10.1063/1.4954806)
• The spinorial energy functional: solutions of the gradient flow on Berger spheres. In: Ann. Global Anal. Georn. 49 (2016) pp. 329-348
  J. Wittmann
  (See online at https://doi.org/10.1007/s10455-015-9494-9)
• A Hamiltonian formulation of causal variational principles. Calculiis of Variations and Partial Differential Equations 56.3 (2017): 73
  F. Finster, J. Kleiner
  (See online at https://doi.org/10.1007/s00526-017-1153-5)
• A new class of Fermionic Projectors: Möller operators and mass oscillation properties, Lett Math. Phys. 117, 2433-2451 (2017)
  N. Drago and S. Murro
  (See online at https://doi.org/10.1007/s11005-017-0998-z)
• Dynamics of Causal Fermion Systems-Field Equations and Correction Terms for a New Unified Physical Theory. Dissertation Regensburg. 2017
  J. Kleiner
  (See online at https://doi.org/10.5283/epub.36289)
• Homogenization of layered materials with rigid components in single-slip finite crystal plasticity. Calc. Var., 5, 75 (2017)
  F. Christowiak, C. Kreisbeck
  (See online at https://doi.org/10.1007/s00526-017-1171-3)
• Linking forms revisited. Pure and Applied Mathematics Quaterly (2017)
  A. Conway, S. Friedl, G. Herrmann
  (See online at https://doi.org/10.4310/PAMQ.2016.v12.n4.a3)
• Non-existence of natural states for Abelian Chern-Simons theory, J. Geom. Phys. 116, 119-123 (2017)
  C. Dappiaggi, H. Gimperlein, S. Murro and A. Schenkel
  (See online at https://doi.org/10.1016/j.geomphys.2017.01.015)
• Quantum states on the algebra of Dirac fields: a functional analytic approach, Dissertation, Universität Regensburg (2017)
  S. Murro
  (See online at https://doi.org/10.5283/epub.35661)
• Short time existence of the heat flow for Diracharmonic maps on closed manifolds, In: Calc. Var. Partial Differential Equations 56 (2017), Art.169, 32
  J. Wittmann
  (See online at https://doi.org/10.1007/s00526-017-1270-1)
• Some minimization problems for planar networks of elastic curves. Geom. Flows, 3 (2017), pp. 105-124
  A. Dall’Acqua, A. Pluda
  (See online at https://doi.org/10.1515/geofl-2017-0005)
• The fermionic signature operator and quantum states in Rindler space-time, J. Math. Anal. Appl. 454, 385-411 (2017)
  F. Finster, S. Murro and C. Röken
  (See online at https://doi.org/10.1016/j.jmaa.2017.04.044)
• Torsion in the homology of finite covers of 3-manifolds, Preprint (2017)
  S. Priedl, G. Herrmann
  (See online at https://doi.org/10.48550/arXiv.1710.08983)
• Wavefront sets and polarizations on supermanifolds, J. Math. Phys. 58, 023504 (2017)
  C. Dappiaggi, H. Gimperlein, S. Murro and A. Schenkel
  (See online at https://doi.org/10.1063/1.4975213)
• A Blow-up Criterion for the Curve Diffusion Flow with a Contact Angle, SIAM J. Math. Anal.
  H. Abels, J. Butz
  (See online at https://doi.org/10.48550/arXiv.1810.07257)
• Calibrations in families for minimal networks. Proceedings: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
  M. Carioni, A. Pluda
  (See online at https://doi.org/10.1002/pamm.201800085)
• Elastic networks, statics and dynamics. Proceedings: 11th Mathematical Society of Japan Seasonal Institute, held in Sapporo in July 2018
  M. Novaga, A. Pluda
  (See online at https://doi.org/10.2969/aspm/08510325)
• Integral Comparison of Monsky-Washnitzer and overconvergent de Rham-Witt cohomology. Proceedings of the AMS, Series B, vol. 5, pp. 64-72, (2018)
  V. Ertl, J. Sprang
  (See online at https://doi.org/10.1090/bproc/38)
• Milnor K-theory of complete discrete valuation rings with finite residue fields, J. Pure AppL Algebra 222 (2018), no. 6, 1355-1371
  C. Dahlhausen
  (See online at https://doi.org/10.1016/j.jpaa.2017.07.002)
• Minimal kernels of Dirac operators along maps
  J. Wittmann
  (See online at https://doi.org/10.48550/arXiv.1802.03263)
• Phase separation on biological membranes. Dissertation, Universität Regensburg (2018)
  J. Kampmann
  (See online at https://doi.org/10.5283/epub.37471)
• Sutured manifolds and L²-Betti numbers (2018)
  G. Herrmann
  (See online at https://doi.org/10.48550/arXiv.1804.09519)
• The Blanchfield pairing of colored links, Indiana Univ. Math. J. 67 (2018)
  A. Conway, S. Friedl, E. Toffoli
  (See online at https://doi.org/10.1512/iumj.2018.67.7446)
• The Curve Diffusion Flow with a Contact Angle, Dissertation, Universität Regensburg (2018)
  J. Butz
  
• The heat flow for Diracharmonic maps, Dissertation, Universität Regensburg (2018)
  J. Wittmann
  (See online at https://doi.org/10.5283/epub.38075)
• The leading coefficient of the A²-Alexander torsion. Preprint (2018)
  F. Ben Aribi, S. Friedl, G. Herrmann
  (See online at https://doi.org/10.48550/arXiv.1806.10965)
• Well-Posedness of a Navier-Stokes/Mean Curvalture Flow system, AMS Contemporary Mathematics 710 (Mathematical Analysis in Fluid Mechanics: Selected Recent Results), 1-24 (2018)
  H. Abels, M. Moser
  (See online at https://doi.org/10.1090/conm/710)
• Willmore flow of networks, proceeding of the 89th GAMM annual meeting
  H. Garcke, J. Menzel, A. Pluda
  (See online at https://doi.org/10.1002/pamm.201800071)
• Willmore flow of networks. Proceedings: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
  H. Garcke, J. Menzel, A. Pluda
  (See online at https://doi.org/10.1002/pamm.201800071)
• A class of conserved surface layer integrals for causal variational principles. Calculus of Variations and Partial Differential Equations 58.1 (2019): 38
  F. Finster, J. Kleiner
  (See online at https://doi.org/10.1007/s00526-018-1469-9)
• A new proof of a vanishing result due to Berthelot, Esnault, and Rülling. Journal of Number Theory
  V. Ertl
  (See online at https://doi.org/10.1016/j.jnt.2019.03.022)
• Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis. J. Differential Equations, 266(9), pp. 5998-6036, 2019
  M. Ebenbeck, H. Garcke
  (See online at https://doi.org/10.1016/j.jde.2018.10.045)
• Continuous K-Theory and Cohomology of Rigid Spaces, Preprint (2019)
  C. Dahlhausen
  (See online at https://doi.org/10.48550/arXiv.1910.10437)
• Controlled objects as a symmetric monoidal functor, Preprint (2019)
  U. Bunke, L. Caputi
  (See online at https://doi.org/10.48550/arXiv.1902.03053)
• Convergence of the Allen-Calm Equation to the Mean Curvature Flow with 90°-Contact Angle in 2D, Interfaces and Free Boundaries 21, 3, 313-365 (2019)
  H. Abels, M. Moser
  (See online at https://doi.org/10.4171/ifb/425)
• Coupled Evolution Equations for Immersions of Closed Manifolds and Vector Fields, Dissertation. Universität Regensburg (2019)
  C. Brand
  
• Generalized bornological coarse spaces and coarse motivic spectra
  D. Heiß
  (See online at https://doi.org/10.48550/arXiv.1907.03923)
• Hochschild and cyclic homology for bornological coarse spaces. Dissertation, Universität Regensburg (2019)
  L. Caputi
  (See online at https://doi.org/10.5283/epub.40219)
• Lectures on curvature flow of networks, In: “Contemporary Research in Elliptic PDEs and Related Topics”, 369-417, Springer INDAM series vol 33, Springer, 2019
  C. Mantegazza, M. Novaga, A. Pluda
  (See online at https://doi.org/10.1007/978-3-030-18921-1_9)
• Lectures on curvature flow of networks. In: '‘Contemporary Research-in Elliptic PDEs and Belated Topics”, 369-417, Springer INDAM scries vol 33, Springer, 2019
  C. Mantegazza, M. Novaga, A. Pluda
  (See online at https://doi.org/10.1007/978-3-030-18921-1_9)
• Localization for coarse homology theories, Preprint (2019)
  U. Bunke, L. Caputi
  (See online at https://doi.org/10.48550/arXiv.1902.04947)
• Non-linear Stability of Double Bubbles under Surface Diffusion, Preprint (2019)
  H. Garcke, M. Gößwein
  (See online at https://doi.org/10.48550/arXiv.1910.01041)
• Nonsmooth pseudodifferential boundary value problems on manifolds, J. Pseudo-Differ. Oper. Appl. 10, 415-453 (2019)
  H. Abels, C. Neira-Jimenez
  (See online at https://doi.org/10.1007/s11868-018-0268-6)
• On continuous K-thoory and cohomology of rigid spaces, Dissertation. Universität Regensburg (2019)
  C. Dahlhausen
  (See online at https://doi.org/10.5283/epub.40692)
• On different notions of calibrations for minimal partitions and minimal networks. Advanced in Calculus of Variations
  M. Carioni, A. Pluda
  (See online at https://doi.org/10.1515/acv-2019-0005)
• On the Sharp Interface Limit of a Model for Phase Separation on Biological Membranes. Preprint (2019)
  H. Abels, J. Kampmann
  (See online at https://doi.org/10.48550/arXiv.1811.12489)
• On the Surface Diffusion Flow with Triple Junctions in Higher Space Dimensions, Preprint (2019)
  H. Garcke, M. Gößwein
  (See online at https://doi.org/10.1103/PhysRevD.100.104003)
• Rho Invariants for Manifolds with Boundary and Low-Dimensional Topology, Dissertation, Universität Regensburg (2019)
  E. Toffoli
  (See online at https://doi.org/10.5283/epub.40688)
• Rigid analytic reconstruction of Hyodo-Kato theory. Preprint
  V. Ertl, K. Yamada
  (See online at https://doi.org/10.48550/arXiv.1907.10964)
• Sharp Interface Limit for a Stokes / Cahn-Hilliard System, Dissertation, Universität Regensburg (2019)
  A. Marquardt
  (See online at https://doi.org/10.5283/epub.38430)
• Short Time Existence for the Curve Diffusion Flow with a Contact Angle, J. Differential Equations 268 (2019), no. 1, pp. 318-352
  H. Abels, J. Butz
  (See online at https://doi.org/10.1016/j.jde.2019.08.018)
• Stability analysis for stationsiry solutions of the Mullins-Sekerka flow with boundary contact. Preprint (2019)
  H. Garcke, M. Rauchecker
  (See online at https://doi.org/10.48550/arXiv.1907.00833)
• Surface diffusion flow of triple junction clusters in higher space dimensions, Dissertation, Universität Regensburg (2019)
  M. Gößwein
  (See online at https://doi.org/10.5283/epub.38376)
• Sutured manifolds, L²-Betti numbers and an upper bound on the leading, coefficient. Dissertation, Universität Regensburg (2019),
  G. Herrmann
  (See online at https://doi.org/10.5283/epub.40578)
• Syntornic cohomology and padic motivic cohomology. Algebraic Geometry, vol. 6, no. 1, pp. 100-131, (2019)
  V. Ertl, W.K. Niziol
  (See online at https://doi.org/10.14231/AG-2019-006)
• The Banach manifold C(M,N), Differential Geom. Appl. 63 (2019), pp. 166-185
  J. Wittmann
  (See online at https://doi.org/10.1016/j.difgeo.2019.01.001)
• The oriented mailing problem and its convex relaxation (2019). preprint
  M. Carioni, A. Marchese, A. Massaccesi, A. Pluda, R.. Tione
  (See online at https://doi.org/10.48550/arXiv.1904.08246)
• Well-Poscdness and Qualitative behaviour of the Mullins-Sekerka problem with ninety degree contact angle, Preprint (2019)
  H. Abels, M. Rauchecker, M. Wilke
  (See online at https://doi.org/10.48550/arXiv.1902.03611)
• Willmore Flow for planar networks, J. Differential Equations 266 (2019), no. 4, pp. 2019-2051
  H. Garcke, J. Menzel, A. Pluda
  (See online at https://doi.org/10.1016/j.jde.2018.08.019)
• Willmore flow for planar networks, J. Differential Equations, 266 (2019) no. 4, pp. 2019-2051
  H. Garcke, J. Menzel, A. Pluda
  (See online at https://doi.org/10.1016/j.jde.2018.08.019)
• Witt differentials in the h-topology. Journal of Pure and Applied Algebra, Vol. 223, no. 12, pp. 5285-5309, (2019)
  V. Ertl, L.E. Miller
  (See online at https://doi.org/10.1016/j.jpaa.2019.03.022)
• Witt dilTerentiala and the h-topology. Oberwolfach Report 6/2019
  V. Ertl
  
• Asymptotic Rigidity of Layered Structures and Its Application in Homogenization Theory. Arch Rational Mech Anal, 235, 51-98 (2020)
  F. Christowiak, C. Kreisbeck
  (See online at https://doi.org/10.1007/s00205-019-01418-0)
• Calibrations for minimal networks in a covering space setting, ESAIM: COCV
  M. Carioni, A. Pluda
  (See online at https://doi.org/10.1051/cocv/2019024)
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