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1016
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location Chennai, India
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visits member for 2 years, 8 months
seen 4 hours ago

Teaching at the Chennai campus of Vellore Institute of Technology, exclusively to engineering students since 2011. In an earlier job was teaching Mathematics majors; missing that atmosphere drove me to search for this type of site.


Dec
3
awarded  Autobiographer
Aug
21
comment Rational points on a sphere in $\mathbb{R}^d$
If the radius $r$ is an integer express it as a sum of squares $r= \sum_{i=1}^k x_i^2 $ with $1\leq k \leq 4$. If the ambient dimension is $d$ then we can find ${d\choose k}$ integer points from the above expression and they should be affinely independent as required in Misha's comment above.
Jul
8
comment Subgroup property stronger than being characteristic
Thanks. I learnt something new and interesting today.
Jul
8
comment Variations to Cayley's Embedding Theorem for Groups
@ David: I checked that link and learnt something very much interesting and explained beautifully. Thanks.
Jul
6
comment Conjecture on irrational algebraic numbers
I did not know this was transcendental. Then this answers 3rd part of the question by OP. Thanks, Douglas Zare for such a detailed information and pointing out the reference. But I am still not able to figure out how to see that given number is the sum of the series you have described, also not able to see the connection to the Theta function paper you have cited. I'll think about it.
Jul
6
answered Conjecture on irrational algebraic numbers
Jul
4
awarded  Good Question
Jul
2
awarded  Curious
May
4
revised Groups like symmetric group
Typos: "eith" --> "with" and plural for property.
May
4
suggested approved edit on Groups like symmetric group
Apr
25
awarded  Informed
Apr
24
comment Which finite groups can be characterized by their subgroup orders?
How do you handle it when there are many suggroups of the same order. If you discount multiplicity the two groups of order 4 will have the same 'horoscope'.
Apr
21
comment Variations to Cayley's Embedding Theorem for Groups
If you can provide me the clarification about embedding Weyl groups of a Lie group in the Lie group itself I'd accept your answer.
Apr
17
comment lattice in number field already a fractional ideal?
You are specifying $f$ at all $x_i\cdot x_j$ which is more than $n$ in number, exceeding the degree of $K$; how can you guarantee such a linear map exists?
Apr
17
comment Variations to Cayley's Embedding Theorem for Groups
@ Derek Holt: Your second paragraph is the interpretation I had in my mind. But the Weyl groups $N(T)/T$ are not subgroups of Lie groups, Only the group $N(T)$ is a subgroup of $G$. Can you clarify?
Apr
17
asked Variations to Cayley's Embedding Theorem for Groups
Apr
17
comment Advice for number theory library
I have heard that L.E. Dickson's century-old work History of the Theory of Numbers in three volumes is a great work. According to Wikepedia this totals to 1600+ pages.
Apr
13
awarded  Yearling
Apr
13
comment Secant Lines contained in Hypersurfaces
+1 for a clear answer.
Apr
12
comment Is the big cell a principal open set?
Is this an intrinsic property? Does not it depend on how the affine algebraic group is realized as a linear algebraic group?