Lars Louder

Groups and geometry in the south east

Papers and preprints

One-relator groups

• Stackings and the W-cycle conjecture (With Henry Wilton.) Canad. Math. Bull. 60 (2017), no.3, 604-612.
• One-relator groups with torsion are coherent (With Henry Wilton.) Math. Res. Lett. 20 (2020) No. 5, 1499-1511
• Negative immersions for one-relator groups (With Henry Wilton.) Duke.
• Uniform negative immersions and the coherence of one-relator groups (With Henry Wilton.)

Limit and free groups

• Krull dimension for limit groups Geometry & Topology 16 (2012) 219-299
• Scott complexity and adjoining roots to finitely generated groups. Groups Geom. Dyn. 7 (2013), no. 2, 451-474
• Simple loop conjecture for limit groups Israel J. Math. 199 (2014), no. 2, 527-545
• Graphs of subgroups of free groups (with D B McReynolds) Algebraic & Geometric Topology 9 (2009) 327-335
• Hyperbolic towers and independent generic sets in the theory of free groups (With Chloé Perin and Rizos Sklinos.) Notre Dame J. Form. Log. 54 (2013), no. 3-4, 521-539
• Magnus pairs in, and free conjugacy separability of, limit groups (With Nicholas Touikan.) N.W.M. Geom Dedicata (2018).

Other groups

• Strong accessibility for finitely presented groups (With Nicholas Touikan.) Geom. Topol. 21 (2017), no. 3, 1805-1835.
• Decision problems, complexity, traces, and representations (With Sean Lawton and Ben McReynolds.) Groups Geom. Dyn. 11 (2017), no.1, 165-188.
• Zariski Closures and Subgroup Separability (With Ben McReynolds and Priyam Patel.) Selecta Math. (N.S.) 23 (2017), no.3, 2019-2027.
• Nielsen equivalence in closed surface groups.

Not groups

• Diameter and spectral gap for planar graphs (With Juan Souto.)
• Three techniques for obtaining algebraic circle packings (With Andrey M. Mishchenko and Juan Souto.) Michigan Math J. Volume 63, Issue 3 (2014), 535-552.

LSGNT

I am co-director for first year of the London School of Geometry and Number Theory.

Contact

• Office: 25 Gordon Street, Room 802A
• Email: l dot louder at ucl.ac.uk