6,340 reputation
12481
bio website sas.upenn.edu/~vnanda
location Philadelphia, PA
age
visits member for 3 years, 1 month
seen 8 mins ago

Currently a post-doc at Penn, was a graduate student at Rutgers. Here are some papers, some software, and a seminar.


4h
comment Probability of connected graph on torus
@AnthonyQuas It seems as though the OP is saying that it is unclear how to express the probability that the graph is connected, not that there is any confusion regarding the definition of connectivity.
Oct
22
comment A homological criterion for collapsibility?
Taking $A$ to be a point does not give a criterion for collapsibility because the theorem says that $B$ collapses simplicially to $A$ union a bunch of stuff $B'$ in the $(m-1)$ skeleton. In order to "iterate this lemma", you would require the reduced homology of that $B'$ to also be zero, no?
Oct
21
reviewed Approve suggested edit on When is fiber dimension upper semi-continuous?
Oct
8
reviewed Approve suggested edit on If the direct image of f preserves coherent sheaves on noetherian schemes, how to show f is proper?
Oct
3
awarded  Yearling
Sep
25
answered Is barycentric subdivision of a collapsible, regular CW complex collapsible (non-evasive)?
Sep
24
awarded  Autobiographer
Sep
23
comment Discrete Morse theory and existence of minimal complex
@JimConant That paper seems to have been written "too early". In particular, it contains the incorrect claim (Example 1.6) that the Whitehead group of $\mathbb{Z}\Pi$ for $\Pi$ a finite abelian group is trivial. The first counter-example is $\Pi = \mathbb{Z}/5$ whose whitehead group is $\mathbb{Z}/2$.
Sep
22
comment Random points on the unit sphere
Cool answer. And fantastic profile picture!
Sep
19
awarded  Good Answer
Sep
19
reviewed Approve suggested edit on If any open set is a countable union of balls, does it imply separability?
Sep
19
revised Results true in a dimension and false for higher dimensions
update on lower bound
Sep
19
comment Results true in a dimension and false for higher dimensions
@JRaccoon I said that the conjecture could be explained to a child, not that I was explaining it in that fashion on a site for research-level mathematics. If it makes you feel any better, I am also glad that I was not your math teacher when you were a child.
Sep
17
comment Is there a dense subset of the real plane with all pairwise distances rational?
@TomLeinster I'm not sure that I have suitable mafia analogies for 100k :)
Sep
17
awarded  Enlightened
Sep
17
awarded  Nice Answer
Sep
16
reviewed Approve suggested edit on discrete-morse-theory tag wiki excerpt
Sep
16
revised Using Discrete Morse Theory to represent hom classes
deleted 12 characters in body
Sep
16
revised Using Discrete Morse Theory to represent hom classes
added 31 characters in body
Sep
16
comment Using Discrete Morse Theory to represent hom classes
All this being said, of course you can easily check whether two $\phi$-invariant chains represent the same homology class in $(M,\partial)$ via the obvious linear algebra.