Prof. Dr. Tobias Lamm

  • Englerstr. 2
    76131 Karlsruhe

Aktuelle Lehrveranstaltungen

Titel Links Typ
Sommersemester 2026
Analysis 4 Vorlesung (V)
Übungen zu 0163900 (Analysis 4) Übung (Ü)
AG Geometrische Analysis Seminar (S)
Seminar (Analysis) Seminar (S)
Wintersemester 2025/26
Analysis III Vorlesung (V)
Übungen zu 0100400 (Analysis III) Übung (Ü)
Interpolation Spaces Vorlesung (V)
Tutorial for 018020 (Interpolation Spaces) Übung (Ü)
AG Geometrische Analysis Oberseminar (OS)

Publikationsliste


2025
Index estimates for sequences of harmonic maps
Hirsch, J.; Lamm, T.
2025. Communications in Analysis and Geometry, 33 (1), 131–162. doi:10.4310/CAG.250221033107
2023
Rigidity of -harmonic maps of low degree
Hörter, J.; Lamm, T.; Micallef, M.
2023. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 24 (4), 2269 – 2310. doi:10.2422/2036-2145.202201_002
Ricci flow of -metrics in four dimensions
Lamm, T.; Simon, M.
2023. Commentarii Mathematici Helvetici, 98 (2), 261 – 364. doi:10.4171/CMH/553
2021
Existence of expanders of the harmonic map flow
Deruelle, A.; Lamm, T.
2021. Annales scientifiques de l’École Normale Supérieure, 54 (5), 1237–1274. doi:10.24033/asens.2480
Reflection of Willmore Surfaces with Free Boundaries
Kuwert, E.; Lamm, T.
2021. Canadian Journal of Mathematics, 73 (3), 787–804. doi:10.4153/S0008414X20000164
Conservation laws for even order elliptic systems in the critical dimension - a new approach
Hörter, J.; Lamm, T.
2021. Calculus of Variations and Partial Differential Equations, 60 (4), Art. Nr.: 125. doi:10.1007/s00526-021-01995-7
A gap theorem for α-harmonic maps between two-spheres
Lamm, T.; Malchiodi, A.; Micallef, M.
2021. Analysis & PDE, 14 (3), 881–889. doi:10.2140/apde.2021.14.881
2020
Biharmonic wave maps into spheres
Herr, S.; Lamm, T.; Schnaubelt, R.
2020. Proceedings of the American Mathematical Society, 148 (2), 787–796. doi:10.1090/proc/14744
Biharmonic wave maps: local wellposedness in high regularity
Herr, S.; Lamm, T.; Schmid, T.; Schnaubelt, R.
2020. Nonlinearity, 33 (5), 2270–2305. doi:10.1088/1361-6544/ab73ce
Local foliation of manifolds by surfaces of willmore type
Lamm, T.; Metzger, J.; Schulze, F.
2020. Annales de l’Institut Fourier, 70 (4), 1639–1662. doi:10.5802/AIF.3375
Limits of α-harmonic MAPS
Lamm, T.; Malchiodi, A.; Micallef, M.
2020. Journal of differential geometry, 116 (2), 321–348. doi:10.4310/JDG/1603936814
2019
Biharmonic wave maps: local wellposedness in high regularity
Herr, S.; Lamm, T.; Schmid, T.; Schnaubelt, R.
2019. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000089304
2018
Conformal Willmore tori in ℝ4
Lamm, T.; Schätzle, R. M.
2018. Journal für die reine und angewandte Mathematik, 2018 (742), 281–301. doi:10.1515/crelle-2015-0101
Biharmonic wave maps into spheres
Herr, S.; Lamm, T.; Schnaubelt, R.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000088563
2016
Weak stability of Ricci expanders with positive curvature operator
Deruelle, A.; Lamm, T.
2016. Mathematische Zeitschrift, (Nov), 1–35. doi:10.1007/s00209-016-1791-x
Global estimates and energy identities for elliptic systems with antisymmetric potentials
Lamm, T.; Sharp, B.
2016. Communications in Partial Differential Equations, 41 (4), 579–608. doi:10.1080/03605302.2015.1116559
2015
Parabolic equations with rough data
Koch, H.; Lamm, T.
2015. Mathematica Bohemica, 140 (4), 457–477. doi:10.21136/MB.2015.144463
Compactness results for sequences of approximate biharmonic maps
Breiner, C.; Lamm, T.
2015. Pacific journal of mathematics, 276 (1), 59–92. doi:10.2140/pjm.2015.276.59
Two-dimensional curvature functionals with superquadratic growth
Kuwert, E.; Lamm, T.; Li, Y.
2015. Journal of the European Mathematical Society, 17 (12), 3081–3111. doi:10.4171/JEMS/580
Branched Willmore spheres
Lamm, T.; Nguyen, H.
2015. Journal für die reine und angewandte Mathematik, 701, 169–194. doi:10.1515/crelle-2013-0028
Quantitative stratification and higher regularity for biharmonic maps
Breiner, C.; Lamm, T.
2015. Manuscripta mathematica, 148 (3-4), 379–398. doi:10.1007/s00229-015-0750-x
2014
Optimal rigidity estimates for nearly umbilical surfaces in arbitrary codimension
Lamm, T.; Schätzle, R. M.
2014. Geometric and Functional Analysis, 24 (6), 2029–2062. doi:10.1007/s00039-014-0303-6
2013
A Bernstein type theorem for entire Willmore graphs
Chen, J.; Lamm, T.
2013. Journal of Geometric Analysis, 23, 456–469. doi:10.1007/s12220-011-9264-2
2012
Boundary partial regularity for a class of biharmonic maps
Gong, H.; Lamm, T.; Wang, C.
2012. Calculus of Variations and Partial Differential Equations, 45 (1-2), 165–191. doi:10.1007/s00526-011-0455-2
Geometric flows with rough initial data
Koch, H.; Lamm, T.
2012. The Asian journal of mathematics, 16, 209–236
2011
Foliations of asymptotically flat manifolds by surfaces of Willmore type
Lamm, T.; Metzger, J.; Schulze, F.
2011. Mathematische Annalen, 350 (1), 1–78. doi:10.1007/s00208-010-0550-2
2010
Small surfaces of Willmore type in Riemannian manifolds
Lamm, T.; Metzger, J.
2010. International Mathematics Research Notices, 2010 (19), 3786–3813. doi:10.1093/imrn/rnq048
The Cauchy problem for Schrödinger flows into Kähler manifolds
Kenig, C.; Lamm, T.; Pollack, D.; Staffilani, G.; Toro, T.
2010. Discrete and Continuous Dynamical Systems, 27 (2), 389–439. doi:10.3934/dcds.2010.27.389
Energy identity for approximations of harmonic maps from surfaces
Lamm, T.
2010. Transactions of the American Mathematical Society, 362 (8), 4077–4097. doi:10.1090/S0002-9947-10-04912-3
2009
The heat flow with a critical exponential nonlinearity
Lamm, T.; Robert, F.; Struwe, M.
2009. Journal of functional analysis, 257 (9), 2951–2998. doi:10.1016/j.jfa.2009.05.018
Boundary regularity for polyharmonic maps in the critical dimension
Lamm, T.; Wang, C.
2009. Advances in Calculus of Variations, 2 (1), 1–16. doi:10.1515/ACV.2009.001
2008
Conservation laws for fourth order systems in four dimensions
Lamm, T.; Rivière, T.
2008. Communications in Partial and Differential Equations, 33, 245–262. doi:10.1080/03605300701382381
2006
Fourth order approximation of harmonic maps from surfaces
Lamm, T.
2006. Calculus of Variations and Partial Differential Equations, 27 (2), 125–157. doi:10.1007/s00526-005-0001-1
2004
Heat Flow for Extrinsic Biharmonic Maps with Small Initial Energy
Lamm, T.
2004. Annals of Global Analysis and Geometry, 26 (4), 369–384. doi:10.1023/B:AGAG.0000047526.21237.04
Biharmonic map heat flow into manifolds of nonpositive curvature
Lamm, T.
2004. Calculus of Variations and Partial Differential Equations, 22 (4), 421–445. doi:10.1007/s00526-004-0283-8