
Prof Dr Maria Beatrice Pozzetti
Office 3/309, 3rd floor
Mathematical Institute
Heidelberg University
Im Neuenheimer feld 205
69120 Heidelberg
Germany
Tel: +49(0)622154 14206
Email: pozzetti@mathi.uniheidelberg.de

I am head of an EmmyNoether research group on Discrete subgroups of semisimple Lie groups beyond Anosov
With the project Rigidity, deformations and limits of maximal representations I am part of the DFG priority program SPP 2026 Geometry at infinity
With the projects A8: Symplectic geometry of representation and quiver varieties and B5: hyperbolicity in dynamics and geometry I am part of the DFG CRC/TRR 191: Symplectic structures in geometry, algebra and dynamics
I am PI of the RTG 2229: Asymptotic Invariants and Limits of Groups and Spaces
I am coorganizing Heidelberg's Differential geometry seminar
Group members:
 Valdo Tatitscheff (Postdoc)
 Alexander Thomas (Postdoc)
 Marta Magnani (PhD student)
 Colin Davalo (PhD student)
Former group members:
 Mitul Islam (Postdoc)
 Giulio Belletti (Postdoc)
 James Farre (Postdoc)
 Leon Carvajales (Postdoc)
 Gabriele Viaggi (Postdoc)
Research interests: Discrete subgroups of semisimple Lie groups, Anosov and maximal representations, (complex) hyperbolic geometry, (Higher rank) TeichmüllerThurston Theory, geometric group theory, bounded cohomology
Published/accepted papers:

(with L. Carvajales, X. Dai, A. Wienhard)
Thurston's asymmetric metrics for Anosov representations.
Accepted in Groups Geometry Dynamics arXiv:2210.05292
 (with M. Burger, A. Iozzi, A. Parreau)
Weyl chamber length compactification of the PSL(2,R)xPSL(2,R) maximal character variety.
Accepted in Glasgow Math J. arXiv:2112.13624

(with K. Tsouvalas)
On projective Anosov subgroups of symplectic groups.
Bull. London Math. Soc., 56: 581588 (2024) arXiv:2305.05018
 (with M. Burger, A. Iozzi, A. Parreau)
Positive crossratios, barycenters, trees and applications to maximal representations.
Accepted in Groups, Geometry, and Dynamics. arXiv:2103.17161
 (with A. Sambarino, A. Wienhard)
Anosov representations with Lipschitz limit set.
Geometry & Topology 278 (2023), 33033360 arXiv:1910.06627

(with M.Bridgeman, A. Sambarino, A. Wienhard)
Hessian of Hausdorff dimension on purely imaginary directions.
Bull. Lond. Math. Soc. 54, 3 (2022) 10271050
arXiv:2010.16308

(with B. Duchesne, J. Lecureux)
Boundary maps and maximal representations on infinite dimensional Hermitian symmetric spaces.
Ergod. Th. & Dynam. Sys., (2023), 43, 140189
arXiv:1810.10208

(with S. Maloni)
Geometric limits of cyclic subgroups of SO(1, k+1) and SU(1, k+1).
Algebraic & Geometric Topology 22 (2022) 14611495
arXiv:2008.11653

(with M. Burger, A. Iozzi, A. Parreau)
Currents, Systoles, and Compactifications of Character Varieties.
Proc. London Math. Soc.(3) 123 (2021) 565596
arXiv:1902.07680

(with J. Beyrer)
A collar lemma for partially hyperconvex surface group representations.
Trans. Amer. Math. Soc. 374 (2021), 69276961
arXiv:2004.03559

(with M. Burger, A. Iozzi,
A. Parreau)
The real spectrum compactification of character varieties: characterizations and applications.
Comptes Rendus. Mathematique, Tome 359 (2021) no. 4, pp. 439463.
pdf

(with A. Sambarino, A. Wienhard)
Conformality for a robust class of nonconformal attractors.
Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2021, no. 774, 2021, pp. 151
pdf
 (with F. Fanoni)
Basmajiantype inequalities for maximal representations.
Journal of Differential Geometry, Vol. 116, No. 3 (2020), pp. 405458.
pdf
 (with F. Franceschini, R. Frigerio, A. Sisto)
The zero norm subspace of bounded cohomology of acylindrically hyperbolic groups.
Commentarii Mathematici Helvetici 941 (2019), 89139
pdf

(with M. Burger)
Maximal representations, non Archimedean Siegel spaces, and buildings.
Geometry & Topology 216 (2017), 35393599
pdf

Boundary maps and maximal representations of complex hyperbolic lattices into SU(m,n).
PhD Thesis, ETH Zurich
pdf

Maximal representations of complex hyperbolic lattices into SU(m, n).
Geom. Funct. Anal. 25 (2015), no. 4, 1290–1332 pdf
 (with R. Frigerio, A. Sisto)
Extending higher dimensional quasicocycles.
J. Topol. 8 (2015), no. 4, 1123–1155
pdf

(with M. Bucher, M. Burger, R. Frigerio, A. Iozzi, C. Pagliantini)
Isometric properties of relative bounded cohomology.
J. Topol. Anal. 6 (2014), no. 1, 125.
Conference papers:

(with F. Lopez, S. Trettel, M. Strube, A. Wienhard)
Vectorvalued Distance and Gyrocalculus on the Space of Symmetric Positive Definite Matrices.
In Proceedings of the Thirtyfifth Conference on Neural Information Processing Systems (NeurIPS 2021) arXiv:2110.13475

(with F. Lopez, S. Trettel, M. Strube, A. Wienhard)
Symmetric Spaces for Graph Embeddings: A FinslerRiemannian Approach.
In Proceedings of the 38th International Conference on Machine Learning (ICML 2021)
arXiv:2106.04941
Preprints:
 (with J. Farre, G. Viaggi)
Topological and geometric restrictions on hyperconvex representations.
Preprint. Available online: arXiv:2403.13668
 (with M. Burger, A. Iozzi, A. Parreau)
The real spectrum compactification of character varieties.
Preprint. Available online: arXiv:2311.01892
 (with A. Sambarino)
Metric properties of boundary maps, Hilbert entropy and
nondifferentiability.
Preprint. Available online: arXiv:2310.07373
 (with J. Beyrer)
Positive surface group representations in PO(p,q).
Preprint. Available online: arXiv:2106.14725
 (with J. Beyrer)
Degenerations of kpositive surface group representations.
Preprint. Available online: arXiv:2106.05983
 (with O. Hamlet) Classification of tight homomorphisms.
Preprint. Available online: arXiv:1412.6398
Expository/notes:
 Higher rank Teichmüller theories Exposé 1161 in the Séminaire N. Bourbaki (Mars 2019)
 Compactifications via affine buildings Notes for the Workshop on compactifications of moduli spaces of representations
 Maximal representations Notes for the Workshop on Sp(4,R)Anosov representations
 Maximal representations of complex hyperbolic lattices Oberwolfach reports 30 (2015)
 Bounded cohomology and the simplicial volume of the product of two surfaces Master Thesis (2011)
Service:
I am coorganizer of
 the conference Homogeneous dynamics and geometry in higher rank Lie groups (IHES, June 1923 2023) with M. Bridgeman, D. Canary, F. Kassel, H. Oh, J.F. Quint
 the conference Groups and Dynamics in Geometry (Ascona, May 28June 2 2023) with H. Baik, M. Bestvina, S. Hensel, A. Iozzi, H. Masur and B. Petri
 the workshop Minimal surfaces in symmetric spaces and Labourie's conjecture (Autrans, August 22August 26, 2022) with A. Seppi and J. Toulisse
 the conference Marc Burger's Prime (Zurich, June 27July 1, 2022) with M. Bucher, A. Iozzi, N. Monod and A. Wienhard
 the MiniWorkshop Anosov^3 (Oberwolfach, December 511, 2021) with B. Küster, C. Guillarmou and T. Weich
 the conference Geometric Analysis meets Geometric Topology (Heidelberg, February 2528, 2019) with E. MäderBaumdicker, V. Disarlo, F. Fanoni and F. Dittberner
 the conference Groups, spaces and geometries, in honor of Alessandra Iozzi (Zurich, January 2225, 2019) with C. Burrin, T. Hartnick, E. Kowalski and A. Wienhard
 the GEAR Junior Retreat (Stanford, August 17, 2017) with S. Ballas, S. Kerckhoff, T. Yang and T. Zhang
 the conference Asymptotic Geometry of groups and spaces (Heidelberg, February 2023, 2017) with D. Alessandrini, R. Sauer, P. Schwer and A. Wienhard.
Teaching in Heidelberg:
 Winter 2023/2024: Seminar: Hyperbolische Geometrie
 Sommer 2023: (Pro)Seminar: Konvexgeometrie
 Winter 2021/2022: Lecture: Einfürung in die Geometrie
 Winter 2021/2022: Lecture: Geometrische Gruppentheorie
 Sommer 2021: Seminar: Dynamics in one complex variable
 Winter 2020/2021: Lecture: Differential geometry 2 (Symmetric spaces)
 Winter 2020/2021: Working Seminar: Bridgeland's stability conditions for meromorphic differentials
 Sommer 2020: Lecture: Translation Surfaces
 Winter 2019/2020: Lecture: Geometrische Gruppentheorie
 Winter 2018/2019: Lecture: Differential geometry 2 (Symmetric spaces)
 Sommer 2018: Seminar: Groups acting on trees
 Sommer 2018: BachelorMaster Seminar
 Winter 2017/2018: Lecture: Differential geometry 2 (Symmetric spaces)
 Sommer 2017: Seminar: The arithmetics of the hyperbolic plane
 Sommer 2017: Junior Geometry Seminar
 Sommer 2017: RTG lecture: Incidence structures on flag varieties and rigidity
Past teaching:
Bonn:
 Sommer 2019: Lecture: V4D4  Advanced Geometry II
 Sommer 2019: Seminar: S4D1  Graduate Seminar on Differential Geometry
Warwick University
ETH
 Spring 2012 Running exercise classes for Linear Algebra 2
 Fall 2012 Running exercise classes for Complex analysis
 Fall 2013 Organizing Exercise classes for Algebra (Prof. Brent Doran)
 Spring 2014 Running exercise classes for Algebra 2
 Fall 2014 Organizing and running exercise classes for Algebraic Topology (Prof. Rahul Pandharipande)
 Fall 2014 Organizing the student seminar Geometric group theory 2 (with Alessandro Sisto)
Student supervision:
PhD theses:
 Colin Davalo, Geometric structures and representations of surface groups (June 2024)
 Marta Magnani, On arc coordinates for maximal representations (Januray 2024)
 Mareike Pfeil, Cataclysm for Anosov representations (September 2020) co supervised with A.Wienhard
Master theses:
Bachelor theses:
 Luca Tittel, Mapping Class Groups and Fundamental Groups: a closer look at the Dehn Nielsen Baer theorem with illustration (March 2024)
 Benno Wendland, The multiplicity of the smallest positive eigenvalue of the Laplacian on the Klein Quartic (August 2023)
 Cornelius Zenkert, Dimensionen fraktaler Schwämme, Methode der Konstruktion, Berechnung und Visualisierung (July 2022)
 Marcel Stoklasa, Limit sets for once punctured torus groups acting discretely on the Riemann sphere (April 2022) co supervised with G.Viaggi
 Erik Lewerenz, Apollonian circle packings (February 2022)
 Antonia Seifert, CAT(0) spaces and Gromov's condition (February 2022)
 Eric Ommert, LöwnerJohn ellipsoids (February 2022)
 Benedikt Pfahls, Universal Constants in 3Dimensional Hyperbolic Manifolds (July 2021)
 Jannis Heising, Algorihtmic implementation of the solution to the word problem in RightAngled Artin groups (March 2021)
 Noam von Rotberg, Reflection length in affine Coxeter groups (June 2020) co supervised with P. Schwer
 Ferdinand Vanmaele Coxeter groups, the Davis complex, and isolated
flats (February 2019)
 Lukas Bohsung, Über die hyperbolizität des Kurvengraphen (July 2018)
4th year projects (Warwick):
 Paul Colognese, Simple closed geodesics and Teichmuller spaces (June 2017)
 Ben Miller, Automorphism groups of Rightangled Artin Groups (June 2017) co supervised with K.Vogtmann