T. Phan

activity

20092021

most citedRoots of the derivative of the Riemann zeta function and of characteristic polynomials

31 citations · 52 across the 12 of their papers we have counts for

collaborators

15 papers

math.GT2021★ 1 cited

Fungible obstructions to embedding 2-complexes

Grigori Avramidi, T. Tam Nguyen Phan

We give examples of finite, simplicial $2$ -complexes that do not PL embed in $R^{4}$ and exhibit, for each such complex, a family of PL immersions into $R^{4}$ that h…

math.GT2020

Approximation rigidity and $h$ -principle for Bing spines

Michael Freedman, T. Tam Nguyen Phan

We show that all PL manifolds of dimension $\geq 3$ have spines similar to Bing's house with two rooms. Beyond this we explore approximation rigidity and an $h$ -principle.

math.GT2019

Non-separating immersions of spheres and Bing houses

Michael Freedman, T. Tam Nguyen Phan

We construct Bing houses in all dimensions $n \geq 3$ , obtaining non-separating PL immersions of $S^{n} \to R^{n + 1}$ .

math.GT2019

A remark on $ε$ -maps in dimension 1

T. Tam Nguyen Phan

Let $f : S^{1} \to G$ be a surjective map from the standard unit circle to a graph $G$ such that the pre-image of each point has diameter less than $ε$ .…

math.GT2013

Fundamental groups of finite volume, bounded negatively curved 4-manifolds are not 3-manifold groups

Grigori Avramidi, T. Tam Nguyen Phan, Yunhui Wu

We study noncompact, complete, finite volume, Riemannian 4-manifolds $M$ with sectional curvature $- 1 < K < 0$ . We prove that $π_{1} M$ cannot be a 3-manifold group. A classical theorem…

math.DG2012

Non-aspherical ends and nonpositive curvature

Igor Belegradek, T. Tam Nguyen Phan

We obtain restrictions on the topology of a closed connected manifold B that bounds a (possibly noncompact) manifold whose interior V admits a complete Riemannian metric of nonposi…