Assistant Professor Department of Mathematics
Assistant Professor Ingrid Irmer
Office Number 213 Taizhou Hall
Thurston's deformation retraction of Teichmueller Space is available here.
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Research
Low dimensional geometry/topology, mapping class groups, Lorentzian geometry.
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Understanding the well-rounded deformation retraction of Teichmueller space, 2025, arXiv:2509.06339
Schmutz-Thurston duality, 2025, arXiv:2508.04587
Explicit generators of the Steinberg Module of the Mapping class group, 2026, “The journal of Mathematical Sciences, University of Tokyo”
The twist-cofinite topology on the mapping class group of a surface, 2026 “Geometry, Groups and Dynamics”
Existence and deformability of topological Morse functions, 2026 “Bulletin of the Australian Mathematical Society”
A matroid property of filling curves, 2026, “Bulletin of the Australian Mathematical Society”
Small genus, small index critical points of the systole function, with Ni An and Ferdinand Ihringer, 2025, arXiv:2504.17316
The Morse-Smale property of the Thurston Spine, 2025, “SIGMA”
Thurston's deformation retraction of Teichmueller Space, 2023, to appear in “In the Tradition of Thurston IV”
A deformation retraction of the Thurston Spine, 2022, arXiv:2211.03429
Small Systole Sets and Coxeter Groups, (with O. Mathieu), 2023, to appear in “Annales d l'Institute Fourier “
Mesh editing in nonlinear constrained shape spaces, with O. Burghard, M. Hermann and R. Klein, 2023, to appear in Special Volume “Selected papers of the 2023 International Conference on Topology and its Applications”.
Finding simple curves in surface covers is undecidable, “Geometriae Dedicata”, 2020.
Lifts of simple curves in finite regular coverings of closed surfaces, “Geometriae Dedicata”, 2019
Immersed stable commutator length on surfaces is computable, 2019, preprint
Examples of covering properties of boundary points of space-times, 2018, International Journal of Geometric Methods in Modern Physics
Critical levels and Jacobi fields in a complex of cycles, 2017, “Osaka Journal of Mathematics”
Stable lengths on the pants graph are rational, 2015“New York Journal of Mathematics”
Fibering rigidity of 3-manifolds with Torelli monodromy, 2015, arXiv:1502.03912
The Chillingworth class is a signed stable length, 2015, “Algebraic and Geometric Topology”
Geometry of the homology curve complex, 2012, “Journal of Topology and Analysis”
A curve complex and incompressible surfaces in $Stimes mathbb{R}$, 2011, arXiv:1108.4206
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It aims to advance scientific research in pure mathematics as well as applied and computational mathematics in Shenzhen, the Pearl River Delta region and beyond. The Center will focus on important research fields in both pure and applied mathematics. Its primary goal is to promote the basic research in mathematics and advance interdisciplinary research of mathematics in life science, information science, engineering, and finance, etc.
The governing of the Center will be in accordance with international standards for major international mathematics centers. It provides first-class research environment for researchers and visitors alike, hosting annual thematic programs and focused research groups.
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Contact Address
Room 213 Taizhou Hall
Office Phone
ingridmary@sustech.edu.cn