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I am a PhD student at McGill University in mathematics and I work on the Hitchin fibration. I am interested in homological algebra, K-theory, invariant theory of algebraic groups in positive characteristic, and geometric aspects of the Langlands programme.


Oct
5
comment Learning linear algebra within the context of abstract algebra
I think there is a good reason to take linear algebra first, but I think your problem is that the instruction is bad, so you are seeing this issue from a warped perspective. If you took a dedicated course in linear algebra, and then one in abstract algebra, this question probably wouldn't enter your mind.
Sep
24
awarded  Autobiographer
Sep
21
awarded  Yearling
Sep
8
comment Is there a theory of lie “rings”?
Do you mean $GL(n)$?
Aug
7
answered Example of Tor-Rigid Module
Aug
3
answered Graded rings and modules - which book to refer to?
Jul
29
awarded  Nice Answer
Jul
6
answered Using Tor to find the Torsion submodule
Jul
2
comment Tensor product and projective dimension
What about if $M$ is the zero module for your first question?
Jun
26
comment Examples of non commutative rings.
Check out Lam's "A First Course in Noncommutative Rings". There are many examples in Section 1.1.
Jun
21
answered Homological algebra (homotopical approach)
Jun
9
comment Order of operations - why are they in the order they're in?
Parentheses are certainly natural enough, and once you accept these, multiplication over addition makes the formula 5*(4 + 2) = 5*4 + 5*2 pretty nice.
May
15
awarded  Good Answer
May
11
answered Proof of that entire $A$ is a UFD iff every nonzero prime ideal contains a nonzero prime element. (Kaplansky)
May
11
answered Inequality amongst projective dimensions!?
Apr
9
comment Visually deceptive “proofs” which are mathematically wrong
However, this works in the zero ring because zero is invertible there, and indeed in the zero ring 1 + 1 = 1 because 1 = 0.
Apr
9
awarded  Notable Question
Apr
7
answered Is Cyclic cohomology a Weil cohomology?
Mar
24
answered Local Cohomology - Theorem 3.5.8 in Bruns and Herzog, Cohen-Macaulay Rings
Mar
11
answered Example leading to spectral sequence