Sonja Hohloch hoogleraar

Sonja Hohloch

Submitted Preprints

  1. Double flip bifurcations in Z/2Z -symmetric Hamiltonian systems (with K. Efstathiou and T.V. Henriksen), 25p., .
  2. On the affine invariant of hypersemitoric systems (with K. Efstathiou and P. Santos), 69p., .
  3. (Non)displaceability in semitoric systems (with P. Santos), 48p., ​
  4. Homoclinic Floer homology via direct limits, 27p., .
  5. Creating hyperbolic-regular singularities in the presence of an S1-symmetry (with Y. Gullentops), , 44p., .
  6. Extending compact Hamiltonian S1-spaces to integrable systems with mild degeneracies in dimension four (with J. Palmer), , 63p., .

Publications

  1. ​ (with J. Alonso and J. Palmer), Nonlinearity, Volume 38, Number 3, paper no. 38 035018 (2025); 46p., .
  2. Recent examples of hypersemitoric systems and first steps towards a classification: a brief survey (with Y. Gullentops), In: Chatzakou, M., Ruzhansky, M., Stoeva, D. (eds): Women in Analysis and PDE. Trends in Mathematics, vol 5., 2024, Birkhäuser, .
  3. Towards hypersemitoric systems (with Tobias VÃ¥ge Henriksen, Nikolay N. Martynchuk), 26p., , Research Institute for Mathematical Sciences, Kyoto University, Japan, Conference proceedings of , .
  4. Constructions of b-semitoric systems (with Joaquim Brugués, Pau Mir, Eva Miranda), J. Math. Phys. 64, 072703 (2023), 44p., ,
  5. Point vortex dynamics on Kähler twistor spaces (with Guner Muarem), J. Math. Phys. 64, issue 8, 082901 (2023), 29p., , .
  6. (with A. De Meulenaere), 56p., Journal of Nonlinear Science 31 (2021), no. 4, Paper No. 66.
  7. ​ (with J. Alonso), 32p., Journal of Nonlinear Science 31 (2021),no. 3, Paper No. 51, .

  8. , Journal of Geometric Mechanics, Volume 12, Number 3, September 2020, pp. 447-454; .

  9. (with D. Eelbode and G. Muarem), Adv. Appl. Clifford Algebras 30, 49 (2020); .

  10. (with J. Alonso), Conference Proceedings of RIMS Kokyuroku 2019 (Research Institute for Mathematical Sciences, Kyoto University, Japan, journal identifier ISSN 1880-2818), no. 2137, 15p., .

  11. Symplectic classification of coupled angular momenta (with J. Alonso and H. Dullin), Nonlinearity 33 (2020), 417-468. Preprint version via , 59p.

  12. Taylor series and twisting-index invariants of coupled spin-oscillators (with J. Alonso and H. Dullin), Journal of Geometry and Physics, Volume 140 (2019), 131-151., 38p.

  13. (with S. Sabatini, D. Sepe, M. Symington), Symmetry, Integrability, and Geometry: Methods and Applications (SIGMA) 14 (2018), 084, 66p., former titel/version: , 72p.

  14. A family of compact semitoric systems with two focus-focus singularities (with J. Palmer), Journal of Geometric Mechanics 2018, 10(3): 331–357, , 27p.,

  15. Computational complexity, torsion-freeness of homoclinic Floer homology and homoclinic Morse inequalities, Nonlinearity 30 (2017), 2547–2565.

  16. Optimal transport and integer partitions, Discrete Applied Mathematics 190/191 (2015), 75–85.

  17. Hyperkähler Floer theory as infinite dimensional Hamiltonian system, Proc. Amer. Math. Soc. 143 (2015), no. 8, 3519–3524.

  18. From compact semi-toric systems to Hamiltonian S^1-spaces (with S. Sabatini, D. Sepe), Discrete Contin. Dyn. Syst. 35 (2015), no. 1, 247–281.

  19. Higher Morse moduli spaces and n-categories. Homology Homotopy Appl. 16 (2014), no. 2, 1–32. .

  20. On the image of the almost strict Morse N-category under almost strict N-functors. Theory Appl. Categ. 29 (2014), No. 3, 21–47. .

  21. Homoclinic points and Floer homology. J. Symplectic Geom. 11 (2013), no. 4, 645–701. .

  22. Transport, flux and growth of homoclinic Floer homology. Discrete Contin. Dyn. Syst. 32 (2012), no. 10, 3587–3620. .

  23. Floer homology groups in hyperkähler geometry (with G. Noetzel, D. Salamon). New perspectives and challenges in symplectic field theory, 251–261, CRM Proc. Lecture Notes, 49, Amer. Math. Soc., Providence, RI, 2009. .

  24. Hypercontact structures and Floer homology (with G. Noetzel, D. Salamon). Geom. Topol. 13 (2009), no. 5, 2543–2617. .

 

Lecture Notes

 

  1. iv+117p., University of Antwerp, Spring term 2017.
  2. iii+117p.,  University of Antwerp, Spring term 2017.
  3. iv+129p., University of Antwerp, Autumn term 2020.
  4. ii+75p., University of Antwerp, Autumn term 2017.
  5. ii+105p., University of Antwerp, Autumn term 2018.
  6. (with F. Zadra), iii+67p., University of Antwerp, 2024.

Habilitation thesis, PhD thesis, and Diploma thesis

  1. , Habilitation thesis, Université de Franche-Comté (Besançon) 2014, 56p.
  2. , Dissertation, 153 p., University of Leipzig 2008 (Advisor: ).
  3. Optimal mass transportation in the Monge-Kantorovich transport problem (German), Diploma thesis 2003, 60 p., University of Freiburg i.Br. (Advisor: ).

Oberwolfach Reports

  1. Dynamics near focus-focus singular fibres in semitoric systems, Oberwolfach Report No. 32/2017, DOI: 10.4171/OWR/2017/32.
  2. From semi-toric systems to Hamiltonian S^1-actions and back, Oberwolfach Report No. 34/2015, 1964 -- 1966, DOI: 10.4171/OWR/2015/34.
  3. Dynamical aspects of homoclinic Floer homology, Oberwolfach Reports, Volume 8, Issue 3 (2011), 1933 -- 1935.
  4. Floer homology for homoclinic tangles, Oberwolfach Reports, Volume 5, Issue 3 (2008), 2354 -- 2356.

MathSciNet Reviews

I have written 55 reviews for MathSciNet (state of the art in September 2022). If you have a MathSciNet subscription you may find them .

Various notes, preprints, surveys

Survey: , 24 p.