A.B. Tumpach , Some aspects of infinite-dimensional Geometry: Theory and Applications, Habilitation Thesis, Lille University, December 2022, (pdf)
I. Ciuclea, A.B. Tumpach and C. Vizman, Shape spaces of nonlinear flags, (pdf)
A.B. Tumpach and P. Kan, Temporal Alignment of Human Motion Data: A Geometric Point of View, (pdf)
A.B. Tumpach and S.C. Preston, 3 methods to put a Riemannian metric on Shape Space, (pdf)
A.B. Tumpach, On canonical parameterizations of 2D-curves, (pdf)
A.B. Tumpach and T. Golinski, The Banach Poisson–Lie group structure of U(H), to appear
in Proceedings of Workshop on Geometric Methods in Physics 2022, (pdf)
E. Pierson, M. Daoudi, and A. B. Tumpach, A riemannian framework for analysis of human body surface. In Proceedings of the IEEE/CVF Winter Conference on Applications of Computer Vision, pages 2991–3000, 2022. (pdf)
A.B. Tumpach, Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian. ArXiv:1805.03292v1 (pdf)
Communications in Mathematical Physics. 373, 795–858 (2020).
D. Beltiţă, T. Golinski, A.B. Tumpach, Queer Poisson brackets. Journal of Geometry and Physics, Vol. 132 (2018), 358–-362. (pdf)
A.B. Tumpach, An Example of Banach and Hilbert manifold : the Universal Teichmuller space.
Proceedings of XXXVI Workshop on Geometric Methods in Physics, 2--8 July 2017, Bielowieza, Poland. (pdf)
A.B. Tumpach, S. C. Preston, Quotient Elastic Metrics on the manifold of arc-length parameterized plane curves.
Journal of Geometric Mechanics, 2017, Volume 9, Number 2, pages 227--256. (pdf)
A.B. Tumpach, Gauge Invariance of degenerate Riemannian metrics.
Notices of American Mathematical Society, April 2016 and its cover page, Volume 63, Number 4, pages 342--350. (pdf)
H. Drira, A.B. Tumpach, M. Daoudi, Gauge invariant framework for trajectories analysis.
Proceedings of the 1st International Workshop on DIFFerential Geometry in Computer Vision for Analysis of Shapes, Images and Trajectories 2015 (pdf)
A.B. Tumpach, H. Drira, M. Daoudi, A. Srivastava, Gauge Invariant Framework for Shape Analysis of Surfaces.
IEEE Transactions on Pattern Analysis and Machine Intelligence, January 2016, Volume 38, Number 1. (pdf)
A.B. Tumpach, Roots Theory of L*-algebras and Applications.
Oberwolfach Reports, Conference on Infinite Dimensional Lie Theory, 14-20.11.2010, Oberwolfach, Germany (pdf)
A.B. Tumpach, Infinite-dimensional hyperkähler manifolds associated with Hermitian-symmetric affine coadjoint orbits.
Annales de l’Institut Fourier Tome 59 (2009), fascicule 1, 167--197. (pdf)
A.B. Tumpach, Mostow's Decomposition Theorem for L*-groups and Applications. (pdf)
A.B. Tumpach, Classification of infinite-dimensional Hermitian-symmetric affine coadjoint orbits.
Forum Mathematicum 21:3 (May 2009) 375--393.(pdf)
D. Beltiţă, T. Ratiu, A.B. Tumpach, The restricted Grassmannian, Banach Lie-Poisson spaces and coadjoint orbits.
Journal of Functional Analysis 247 (2007) 138--168. (pdf)
A.B. Tumpach, Hyperkähler structures and infinite-dimensional Grassmannians.
Journal of Functional Analysis 243 (2007) 158--206 (pdf)
A.B. Tumpach, PhD thesis: Variétés kählériennes et hyperkählériennes de dimension infinie (pdf)
Ecole Polytechnique, Palaiseau, France.