{{:people:dobbins:a_point_in_a_nd-polytope_is_the_barycenter_of_n_points_in_its_d-faces.pdf| A point in a nd-polytope is the barycenter of n points in its d-faces}}

[[https://arxiv.org/pdf/2108.02134| A strong equivariant deformation retraction from the homeomorphism group of the projective plane to the special orthogonal group]]

[[https://arxiv.org/pdf/1908.02213| 
A Universality Theorem for Nested Polytopes.
]]

{{:people:dobbins:antiprismlessness.pdf| Antiprismlessness, or: Reducing combinatorial equivalence to
projective equivalence in realizability problems for polytopes}}

[[https://arxiv.org/pdf/1809.01613| Barycenters of points in polytope skeleta]]

[[https://arxiv.org/pdf/2106.08907| Continuous dependence of curvature flow on initial conditions]]

{{:people:dobbins:grassmannians_and_pseudosphere_arrangements.pdf| Grassmannians and pseudosphere arrangements}}

{{:people:dobbins:packing_segments_in_a_convex_3-polytope_is_np-hard.pdf|
Packing segments in a convex 3-polytope is NP-hard. 
}}

{{:people:dobbins:realizability_of_polytopes_as_a_low_rank_matrix_completion_problem.pdf| Realizability of polytopes as a low rank matrix completion problem}}

{{:people:dobbins:realization_spaces_of_arrangements_of_convex_bodies.pdf| Realization spaces of arrangements of convex bodies}}

{{:people:dobbins:realization_spaces_of_arrangements_of_convex_bodies_socg_.pdf|
Realization spaces of arrangements of convex bodies (SoCG)}}

{{:people:dobbins:regular_systems_of_paths_and_families_of_convex_sets_in_convex_position.pdf| Regular systems of
paths and families of convex sets in convex position}}

{{:people:dobbins:shadows_of_a_closed_curve.pdf| Shadows of a closed curve}}

{{:people:dobbins:the_erdos-szekeres_problem_for_non-crossing_convex_sets.pdf| The Erdős-Szekeres
problem for non-crossing convex sets}}

{{:people:dobbins:the_inverse_kakeya_problem.pdf| The inverse Kakeya problem}}

{{:people:dobbins:the_number_of_holes_in_the_union_of_translates_of_a_convex_set_in_three_dimensions.pdf| The number
of holes in the union of translates of a convex set in three dimensions}}

{{:people:dobbins:the_number_of_holes_in_the_union_of_translates_of_a_convex_set_in_three_dimensions_socg_.pdf|
The number
of holes in the union of translates of a convex set in three dimensions (SoCG)}}

{{:people:dobbins:the_shadows_of_a_cycle_cannot_all_be_paths.pdf| The shadows of a cycle cannot all be paths}}

{{:people:dobbins:weight_balancing_on_boundaries_and_skeletons.pdf| Weight balancing on boundaries and skeletons}}

[[https://arxiv.org/pdf/1712.05142| ∀∃R-completeness and area-universality]]