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bio website sas.upenn.edu/~vnanda
location Philadelphia, PA
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visits member for 3 years, 4 months
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Currently a post-doc at Penn, was a graduate student at Rutgers. Here are some papers, some software, and a seminar.


Jan
20
awarded  Notable Question
Jan
7
comment Are there good ways of relating a minor to the full determinant?
Well, $\text{det}(B)$ is a sum of $n$ terms and only one of them is a multiple of $\text{det}(A)$. So you can't expect much here without severely constraining that additional row and column, can you?
Jan
4
comment Sampling from a Manifold
I hope you are familiar with the work of niyogi, smale and weinberger (people.cs.uchicago.edu/~niyogi/papersps/NiySmaWeiHom.pdf) which assumes that the manifold in question has been embedded in euclidean space and provides bounds on the sample size in terms of the injectivity radius to extract homotopy type with high confidence.
Dec
30
comment Lefschetz fixed notation
@BenWieland The word "stuff" is a placeholder to indicate that there is no consistent notation for the local term. I've even seen cases where people give a completely arbitrary name to the local endomorphisms, e.g., $A_i$ and then write the formula as an alternating sum of $\text{tr}(A_i)$.
Dec
28
comment A generalized diagonal?
Another term for this is equalizer (ncatlab.org/nlab/show/equalizer) where the two parallel morphisms coincide.
Dec
27
comment Why does a tetracategory with one object, one 1-morphism and one 2-morphism give a symmetric monoidal category
Wow. I hope that the referees who make it through the "$K_6$ axiom" on pages 19-26 of Hoffnung's paper are paid their weight in ivory, apes and peacocks.
Dec
25
reviewed Approve Is a certain A-infinity algebra (homologically) smooth?
Dec
23
answered Lefschetz fixed notation
Dec
19
comment The letters of the word “ART”
If $U$ is an arbitrary open set (e.g. could be disconnected even if $X$ is not) then wouldn't the letter X also qualify without being homeomorphic to the others?
Dec
15
comment Dehn-Sommerville relations for $\Delta$-complexes
I am already confused by the first line, since there is generally no unique simplicial complexes whose geometric realiazation is $M$. Are you saying that the DS equations are satisfied by any simplicial complex $K$ with $|K|$ homeomorphic to $M$?
Dec
15
revised Contractibility of a poset-indexed colimit
title accuracy ++
Dec
15
asked Contractibility of a poset-indexed colimit
Dec
4
reviewed Approve Characteristic polynomial of Kronecker/tensor product
Nov
29
comment Perron-Frobenius theory for reducible matrices
$A = \begin{bmatrix}0 & 1\\1 & 0\end{bmatrix}$. What would you like to know?
Nov
25
comment A game of stones
Liviu, I have hope for your conjecture. See markhkim.com/2013/10/killing-the-hydra
Nov
24
revised Why Cohen-Macaulay rings have become important in commutative algebra?
bjorner article added
Nov
24
reviewed Approve Is there an (almost) dense set of quadratic polynomials which is not in the interior of the Mandelbrot set?
Nov
22
revised Robotics, Cryptography, and Genetics applications of Grothendieck's work?
justin, not michael
Nov
22
reviewed Approve combinatorial-game-theory tag wiki
Nov
19
comment Is there any relationship between the topologies of the clique complex and the independence complex?
There is no connection in general between $X(G)$ and $S^n \setminus I(G)$ for a given graph $G$. Perhaps you're more interested in classifying those $G$ for which an Alexander type theorem might hold?