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earned this badge 103 times.
Homotopy equivalent but non-homeomorphic high-dimensional manifolds
Awarded Apr 6 at 19:41
What to look for in applicants to graduate programs (in mathematics)?
Awarded Mar 11 at 15:46
Why do finite homotopy groups imply finite homology groups?
Awarded Nov 26, 2023 at 9:11
Is the minimal volume a topological invariant?
Awarded Mar 28, 2023 at 13:57
Is there a flat manifold with trivial first homology?
Awarded Nov 27, 2022 at 21:07
Poincaré Theorem on presentation from a fundamental polyhedra
Awarded Jun 4, 2022 at 14:47
Does a compact contractible metric space have a point that is fixed by all isometries?
Awarded May 14, 2022 at 4:53
Is amateur research in mathematics viable?
Awarded May 13, 2022 at 17:17
Counterexamples to an analog of Cannon's Conjecture which do not arise from manifolds?
Awarded Apr 7, 2022 at 13:26
Are negatively pinched manifold locally conformally flat?
Awarded Mar 28, 2022 at 20:01
Is it true that the orbit space of a free finite group action on a CW-complex is also a CW-complex?
Awarded Mar 28, 2022 at 4:11
Do all spaces doubly covered by $S^{2n}$ have the homeomorphism type of $\mathbb{P}^{2n}_{\mathbb{R}}$?
Awarded Oct 30, 2021 at 9:34
What about a mathematics journal for 'negative' results?
Awarded Oct 25, 2021 at 16:32
Contractibility of space of embeddings of a disc
Awarded Sep 22, 2021 at 6:35
Should every modern day mathematician care about category theory?
Awarded Sep 13, 2021 at 15:36
How to prove the connected sum of two closed aspherical n-manfolds (n >2) is not asperical?
Awarded May 10, 2021 at 16:20
Can the product of a 3-dimensional lens space with a circle be diffeomorphic to another such product when the lens spaces aren't diffeomorphic?
Awarded May 5, 2021 at 18:25
Does homeomorphism between cones imply homeomorphism between sections
Awarded Mar 17, 2021 at 15:30
Two questions about sphere bundles
Awarded Dec 20, 2020 at 19:06
A Riemannian metric on $S^2 \times S^2$ of nonnegative curvature that is not a product
Awarded Sep 5, 2020 at 14:57
Ricci flow and isometry group
Awarded Aug 31, 2020 at 3:51
Do cotangent bundles have "bounded geometry"?
Awarded Aug 25, 2020 at 16:48
Hausdorff vs Gromov-Hausdorff convergence of convex hypersurfaces
Awarded Aug 19, 2020 at 23:16
When is a bi-Lipschitz homeomorphism smoothable?
Awarded Jul 21, 2020 at 5:30
Smooth map homotopic to Lie group homomorphism
Awarded Jul 7, 2020 at 1:17
Proper homotopy
Awarded May 24, 2020 at 16:06
Isometries between spherical space forms
Awarded Feb 15, 2020 at 5:15
A simple and good reference on surgery theory
Awarded Dec 27, 2019 at 23:50
Piecewise linear Poincaré conjecture
Awarded Dec 8, 2019 at 10:00
Gromov-Hausdorff limits of 2-dimensional Riemannian surfaces
Awarded Aug 19, 2019 at 2:35
Quotient of arbitrary free involution on $S^n$
Awarded Aug 7, 2019 at 16:10
Does Anosov geodesic flow imply asphericity?
Awarded Jun 25, 2019 at 9:15
Does every large $\mathbb{R}^4$ embed in $\mathbb{R}^5$?
Awarded May 21, 2019 at 11:35
Examples of Riemannian Submersions
Awarded Jan 31, 2019 at 16:20
Fundamental groups of noncompact surfaces
Awarded Nov 7, 2018 at 1:55
Five-dimensional manifolds fibering over a fixed hyperbolic surface
Awarded Sep 16, 2018 at 21:05
Does $\DeclareMathOperator\Aut{Aut}\Aut(\Aut(\dots\Aut(G)\dots))$ stabilize?
Awarded Jul 17, 2018 at 14:44
When distance nonincreasing map is an isometry
Awarded May 31, 2018 at 20:48
A second Ph.D. in mathematics?
Awarded May 29, 2018 at 0:11
Homeomorphism/ homotopy types of non-negatively curved manifolds
Awarded May 14, 2018 at 10:46
Non embedding of $Y\times Y$ into $\mathbb{R}^3$
Awarded Apr 14, 2018 at 20:04
When does the tangent bundle of a manifold admit a flat connection?
Awarded Mar 20, 2018 at 19:09
A question on closed geodesics
Awarded Feb 25, 2018 at 23:51
Obstruction to a general S^1-action
Awarded Feb 19, 2018 at 7:01
Why is the first integral Pontryagin class a homeomorphism invariant?
Awarded Feb 3, 2018 at 8:33
Topological embeddings of real projective space in euclidean space
Awarded Jan 29, 2018 at 13:40
Homotopy equivalence of diffeomorphism groups
Awarded Jan 7, 2018 at 16:20
Negative sectional curvature and constant curvature
Awarded Sep 9, 2017 at 19:45
Status of Hilbert-Smith conjecture and H-S conjecture for Hölder actions
Awarded Sep 8, 2017 at 12:27
What are the uses of the homotopy groups of spheres?
Awarded Sep 8, 2017 at 12:27
Klee's trick --- more applications
Awarded Aug 5, 2017 at 14:43
Euclidean tangent cone implies Riemannian manifold
Awarded Aug 5, 2017 at 1:18
the criteria for 3-dim manifolds diffeomorphic to $\mathbb{R}^3$
Awarded Jul 17, 2017 at 23:15
Who computed the third stable homotopy group?
Awarded Jun 27, 2017 at 13:36
What are some of the big open problems in 3-manifold theory?
Awarded Mar 27, 2017 at 19:45
Positive sectional curvature does not imply positive definite curvature operator?
Awarded Mar 17, 2017 at 23:04
Compact manifolds with big mapping class group
Awarded Feb 7, 2017 at 18:17
The set of homotopy classes of maps between compact manifolds is countable
Awarded Dec 17, 2016 at 2:25
Most manifolds are hyperbolic?
Awarded Dec 4, 2016 at 10:59
Topology of function spaces?
Awarded Nov 8, 2016 at 10:49
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