Peter Albers

Professor of Mathematics
Heidelberg University

See also arXiv and MathSciNet.

  1. Symplectic billiards as Minkowski billiards (with A. Chavez Caliz, S. Tabachnikov)
    arXiv:2607.05986
  2. An abstract perturbation theorem for compact moduli spaces (with I. Seifert, T. Stalljohann)
    arXiv:2606.27953
  3. Yang-Mills meets data (with J. Cassel, F. Schlindwein, Ch. Schnörr)
    arXiv:2510.19431
  4. Outer length billiards on a large scale (with L. Edwards-Costa, S. Tabachnikov)
    arXiv:2510.08370
  5. Outer symplectic billiard map at infinity (with A. Chavez Caliz, S. Tabachnikov)
    Journal of Modern Dynamics, 22 (2026), 321–343, arXiv:2508.15142
  6. Bundle scale spaces and local gauge symmetries for graph networks (with J. Cassel, F. Schlindwein, Ch. Schnörr)
    Proc. Scale Space and Variational Methods in Computer Vision (SSVM) 2025, Springer LNCS 15668, 245–257
  7. The Hopf-Rinow theorem and the Mañé critical value for magnetic geodesics on odd-dimensional spheres (with G. Benedetti, L. Maier)
    Journal of Geometry and Physics, 214 (2025), 21 pages, arXiv:2503.02406
  8. Outer symplectic billiards (with A. Chavez Caliz, S. Tabachnikov)
    accepted in Journal of Symplectic Geometry, arXiv:2409.07990
  9. Sigma flows for image and data labeling and learning structured prediction (with J. Cassel, B. Boll, S. Petra, Ch. Schnörr)
    Journal of Mathematical Imaging and Vision, 67 (2025), 38 pages, arXiv:2408.15946
  10. Cyclic Polygon Plots (with F. Sadlo, M. Schreck)
    arXiv:2403.05296
  11. Symplectic billiards for pairs of polygons (with F. Lander, J. Westermann)
    accepted in Arnold Mathematical Journal, arXiv:2402.12244
  12. A geometric embedding approach to multiple games and multiple populations (with B. Boll, J. Cassel, S. Petra, Ch. Schnörr)
    arXiv:2401.05918
  13. Floer potentials, cluster algebras and quiver representations (with M. Bertozzi, M. Reineke)
    Mathematische Zeitschrift, 311 (2025), 16 pages, arXiv:2309.16009
  14. An observation about conformal points on surfaces (with G. Benedetti)
    Arnold Mathematical Journal, 10 (2024), 473–485, arXiv:2309.03319
  15. Monotone twist maps and Dowker-type theorems (with S. Tabachnikov)
    Pacific Journal of Mathematics, 330 (2024), 1–24, arXiv:2307.01485
  16. Quantum state assignment flows (with J. Schwarz, J. Cassel, B. Boll, M. Gärttner, Ch. Schnörr)
    Entropy, 25 (2023), 36 pages, Conference proceeding: Proc. Scale Space and Variational Methods in Computer Vision (SSVM) 2023, 13 pages, arXiv:2307.00075
  17. Families of periodic delay orbits (with P. Aretz, I. Seifert)
    Journal of Differential Equations, 410 (2024), 228–250, arXiv:2304.07550
  18. Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence (with J. Kang)
    Advances in Mathematics, 431 (2023), 130 pages, arXiv:2207.07179
  19. On conformal points of area preserving maps and related topics (with S. Tabachnikov)
    Journal of Geometry and Physics, 180 (2022), 11 pages, arXiv:2205.02611
  20. On the geometric mechanics of assignment flows for metric data labeling (with F. Savarino, Ch. Schnörr)
    Information Geometry, 7 (2024), 1–31, Conference proceeding: Proc. Scale Space and Variational Methods in Computer Vision (SSVM) 2021, 12 pages, arXiv:2111.02543
  21. Loewner's “forgotten” theorem (with S. Tabachnikov)
    The Mathematical Intelligencer, 44 (2022), no. 1, 7–11, arXiv:2109.03051
  22. Symplectically convex and symplectically star-shaped curves: a variational problem (with S. Tabachnikov)
    Journal of Fixed Point Theory and Applications – A Festschrift in honour of Claude Viterbo’s 60th birthday, 24 (2022), 24 pages, arXiv:2012.14797
  23. Periodic delay orbits and the polyfold implicit function theorem (with I. Seifert)
    Commentarii Mathematici Helvetici, 97 (2022), no. 2, 383–412, arXiv:2011.14828
  24. Visual Analysis of Billiard Dynamics Simulation Ensembles (with S. Boshe-Plois, L. Linsen, Q.Q. Ngo)
    15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020), IVAPP20-RP-16, 8 pages
  25. Polygonal symplectic billiards (with G. Banhatti, F. Sadlo, R. Schwartz, S. Tabachnikov)
    Journal of Experimental Mathematics, 1 (2025), 1–22, arXiv:1912.09404
  26. A symplectic dynamics proof of the degree-genus formula (with H. Geiges, K. Zehmisch)
    Arnold Mathematical Journal, 9 (2022), 41–68, arXiv:1905.03054
  27. Pseudorotations of the 2-disc and Reeb flows on the 3-sphere (with H. Geiges, K. Zehmisch)
    Anatole Katok Memorial Issue Part 1 – Ergodic Theory and Dynamical Systems, 42 (2022), no. 2, 402–436, arXiv:1804.07129
  28. Hamiltonian delay equations – examples and a lower bound for the number of periodic solutions (with U. Frauenfelder, F. Schlenk)
    Advances in Mathematics, 373 (2020), 17 pages, arXiv:1802.07453
  29. An iterated graph construction and periodic orbits of Hamiltonian delay equations (with U. Frauenfelder, F. Schlenk)
    Journal of Differential Equations, 266 (2019), no. 5, 2466–2492, arXiv:1802.07449
  30. A compactness result for non-local unregularized gradient flow lines (with U. Frauenfelder, F. Schlenk)
    Journal of Fixed Point Theory and Applications, 21 (2019), no. 1, 1–28, arXiv:1802.07445
  31. Introducing symplectic billiards (with S. Tabachnikov)
    Advances in Mathematics, 333 (2018), 822–867, arXiv:1708.07395
  32. Reeb dynamics inspired by Katok's example in Finsler geometry (with H. Geiges, K. Zehmisch)
    Mathematische Annalen, 370 (2018), no. 3-4, 1883–1907, arXiv:1705.08126
  33. Numerical simulations of magnetic billiards in a convex domain in ℝ2 (with G.D. Banhatti, M. Herrmann)
    arXiv:1702.06309
  34. Periodic Reeb orbits on prequantization bundles (with J. Gutt, D. Hein)
    Journal of Modern Dynamics, 12 (2018), 123–150, arXiv:1612.02205
  35. Positive loops and L∞-contact systolic inequalities (with U. Fuchs, W. Merry)
    Selecta Mathematica, 23 (2017), no. 5, 2491–2521, arXiv:1602.01383
  36. Local systems on the free loop space and finiteness of the Hofer-Zehnder capacity (with U. Frauenfelder, A. Oancea)
    Mathematische Annalen, 367 (2017), no. 3-4, 1403–1428, arXiv:1509.02455
  37. Vanishing of Rabinowitz Floer homology on negative line bundles (with J. Kang)
    Mathematische Zeitschrift, 285 (2017), no. 1-2, 493–517, arXiv:1508.02525
  38. Bubbles and Onis (with U. Frauenfelder)
    Journal of Fixed Point Theory and Applications, 19 (2017), no. 1, 85–112, The Paul Rabinowitz Festschrift, arXiv:1412.4360
  39. Symplectic Tate homology (with K. Cieliebak, U. Frauenfelder)
    Proceedings of the London Mathematical Society, 112 (2016), no. 1, 169–205, arXiv:1405.2303
  40. Cuplength estimates in Morse cohomology (with D. Hein)
    Journal of Topology and Analysis, 8 (2016), no. 2, 243–272, arXiv:1310.5080
  41. Orderability and the Weinstein conjecture (with U. Fuchs, W. Merry)
    Compositio Mathematica, 151 (2015), no. 12, 2251–2272, arXiv:1310.0786
  42. Square roots of Hamiltonian Diffeomorphisms (with U. Frauenfelder)
    Journal of Symplectic Geometry, 12 (2014), no. 3, 427–434, arXiv:1304.4067
  43. Orderability, contact non-squeezing, and Rabinowitz Floer homology (with W. Merry)
    Journal of Symplectic Geometry, 16, no. 6 (2018), 1481–1547, arXiv:1302.6576
  44. Exponential decay for sc-gradient flow lines (with U. Frauenfelder)
    Journal of Fixed Point Theory and Applications, 13 (2013), no. 2, 571–586, arXiv:1302.3162
  45. A Γ-structure on Lagrangian Grassmannians (with U. Frauenfelder, J. Solomon)
    Commentarii Mathematici Helvetici, 89 (2014), no. 4, 929–936, arXiv:1209.4505
  46. The space of linear anti-symplectic involutions is a homogenous space (with U. Frauenfelder)
    Archiv der Mathematik, 99 (2012), no. 5, 531–536, arXiv:1208.2126
  47. Infinitely many leaf-wise intersections on cotangent bundles (with U. Frauenfelder)
    Expositiones Mathematicae, 30 (2012), no. 2, 168–181
  48. The Conley-Zehnder indices of the rotating Kepler problem (with J. Fish, U. Frauenfelder, O. van Koert)
    Math. Proceedings of the Cambridge Philosophical Society, 154 (2013), no. 2, 243–260, arXiv:1201.2032
  49. Translated points and Rabinowitz Floer homology (with W. Merry)
    Journal of Fixed Point Theory and Applications, 13 (2013), no. 1, 201–214, arXiv:1111.5577
  50. Global surfaces of section in the planar restricted 3-body problem (with J. Fish, U. Frauenfelder, H. Hofer, O. van Koert)
    Archive for Rational Mechanics and Analysis, 204 (2012), no. 1, 273–284, arXiv:1103.3881
  51. A variational approach to Givental's nonlinear Maslov index (with U. Frauenfelder)
    Geometric and Functional Analysis (GAFA), 22 (2012), no. 5, 1033–1050, arXiv:1102.3627
  52. Contact geometry of the restricted 3-body problem (with U. Frauenfelder, O. van Koert, G. Paternain)
    Communications on Pure and Applied Mathematics, 65 (2012), no. 2, 229–263, arXiv:1010.2140
  53. Periodic bounce orbits of prescribed energy (with M. Mazzucchelli)
    International Mathematics Research Notices, 14 (2011), 3289–3314, arXiv:1006.1125
  54. Cup-length estimates for leaf-wise intersections (with A. Momin)
    Math. Proceedings of the Cambridge Philosophical Society, 149 (2010), no. 3, 539–551, arXiv:1002.3283
  55. Rabinowitz Floer homology: A survey (with U. Frauenfelder)
    in Global Differential Geometry, Springer Proceedings in Mathematics, 17 (2012), 437–461, arXiv:1001.4272
  56. On a Theorem by Ekeland-Hofer (with U. Frauenfelder)
    Israel Journal of Mathematics, 187 (2012), no. 1, 485–491, arXiv:1001.3386
  57. Spectral Invariants in Rabinowitz Floer homology and global Hamiltonian perturbations (with U. Frauenfelder)
    Journal of Modern Dynamics, 4 (2010), no. 2, 329–357, arXiv:1001.2920
  58. Non-displaceable contact embeddings and infinitely many leaf-wise intersections (with M. McLean)
    Journal of Symplectic Geometry, 9 (2011), no. 3, 271–284, arXiv:0904.3564
  59. On non-separating contact hypersurfaces in symplectic 4-manifolds (with B. Bramham, Ch. Wendl)
    Algebraic & Geometric Topology, 10 (2010), no. 2, 697–737, arXiv:0901.0854
  60. Leaf-wise intersections and Rabinowitz Floer homology (with U. Frauenfelder)
    Journal of Topology and Analysis, 2 (2010), no. 1, 77–98, arXiv:0810.3845
  61. Floer homology for negative line bundles and Reeb chords in prequantization spaces (with U. Frauenfelder)
    Journal of Modern Dynamics, 3 (2009), no. 3, 407–456, arXiv:0808.3634
  62. On the Weinstein conjecture in higher dimensions (with H. Hofer)
    Commentarii Mathematici Helvetici, 84 (2009), no. 2, 429–436, arXiv:0705.3953
  63. A non-displaceable Lagrangian torus in T*S2 (with U. Frauenfelder)
    Communications on Pure and Applied Mathematics, 61 (2008), no. 8, 1046–1051, arXiv:math/0608356
  64. A note on local Floer homology
    arXiv:math/0606600
  65. A Lagrangian Piunikhin-Salamon-Schwarz morphism and two comparison homomorphisms in Floer homology
    International Mathematics Research Notices, (2008), article ID rnm134, 56 pages, arXiv:math/0512037
  66. On the extrinsic topology of Lagrangian submanifolds
    International Mathematics Research Notices, 38 (2005), 2341–2371, arXiv:math/0506016