Jon Bannon

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Name Jon Bannon
Member for 3 years
Seen 6 hours ago
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Location Siena College, Loudonville, NY
Age
I am an associate professor at Siena College. My deepest thanks to the creators of this site.
Jun
11
comment Are Hyperbolic Groups Residually Amenable
You're welcome! The conjecture below Proposition 7 looks interesting, doesn't it?
Jun
11
accepted Are Hyperbolic Groups Residually Amenable
Jun
11
answered Are Hyperbolic Groups Residually Amenable
Jun
11
comment Are Hyperbolic Groups Residually Amenable
@unknown(google): Baumslag solitar groups are residually solvable, hence residually amenable. Certain of these are not residually finite.
Jun
4
comment how to define the gradient of the scalar function on c* algebra
This still needs to be improved. E.g., what is "the scalar function on a C* algebra"? I suppose you mean a function from a C* algebra into the complex numbers...and you must mean a generalized gradient for such functions. What abstract properties of the gradient do you hope to use to characterize the gradient you are looking for? Why do you believe such a thing is natural to look for?
Jun
4
comment how to define the gradient of the scalar function on c* algebra
You need to flesh this question out. Write it in full detail, or it will be quickly closed. Click on "how to ask" above!
May
13
awarded  Yearling
May
7
comment Sub-unital maps between C*-algebras: is there any relevant result?
This question needs to be sharpened.
Apr
27
comment What does a mathematician expect from mathematics education?
Thanks, Ronnie Brown!
Apr
20
comment What does a mathematician expect from mathematics education?
@S.Carnahan: I knew someone would bring this up! Implicit in my answer is an earlier comment I deleted: Personally, I'm not as interested in educating the general populace as I am in educating undergraduate and graduate students. (This isn't something I'm proud of!) So I'm not interested in a renewal of the "new math".
Apr
20
comment What does a mathematician expect from mathematics education?
@Henry: To my chagrin, I only find mention of it in the paper to which I linked above as "grain size". Maybe that's how it is referred to in the literature. All I know is what I wrote above, and that was enough to make a difference for me. If anyone has a source, I'd love to have it, too.
Apr
20
awarded  Nice Answer
Apr
20
answered What does a mathematician expect from mathematics education?
Apr
12
comment Cool problems to impress students with group theory
This set of notes is excellent!
Apr
7
revised Find a lower bound for a pre-invariant $Fol(L(F_m), X_m)$
deleted 5 characters in body
Apr
7
revised Find a lower bound for a pre-invariant $Fol(L(F_m), X_m)$
added 1 characters in body
Apr
7
revised Find a lower bound for a pre-invariant $Fol(L(F_m), X_m)$
deleted 16 characters in body; added 14 characters in body
Apr
7
awarded  Nice Answer
Apr
5
revised Find a lower bound for a pre-invariant $Fol(L(F_m), X_m)$
edited tags
Apr
5
comment Find a lower bound for a pre-invariant $Fol(L(F_m), X_m)$
Thanks for asking this, Jiang! I should mention that in the above link to our paper, certain bounds (4/49 etc.) were not right. In the actual paper: sciencedirect.com/science/article/pii/… The correct bounds appear.
Apr
4
comment Is there a deep reason for the fecundity of involutions?
!@Mariano: From where I stand, that is very reasonable!
Apr
4
asked Is there a deep reason for the fecundity of involutions?
Mar
24
comment PhD in operator algebras and non-commutative geometry
Find out what kind of problems you want to work on...then pick where to go. OA and NCG is not specific enough, in my opinion.
Mar
24
comment Measurable functions and unbounded operators in von Neumann algebras
@Harald Hanche-Olsen: One needs to use a "strong sum" (take the closure of the sum of the two closed operators) and "strong product". Indeed, one has to be careful: plms.oxfordjournals.org/content/s3-23/1/…
Mar
5
comment Outer automorphisms of Borel subgroup
Welcome, Dmitri!
Jan
27
comment Learning through guided discovery
@Théophile: I'm happy to pass this along.
Jan
26
answered Learning through guided discovery
Jan
26
comment Excellent mathematical explanations
@Ronnie: Trite as saying this is, I find the question "What is and should be a theorem?" very interesting. I wish there were a way to ask this philosophical question here on MO without the danger of it encouraging too much discussion.
Jan
24
awarded  Popular Question
Jan
22
comment The Riemann Hypothesis and the Langlands program
This is a nice flyover! Thank you for the response.
Jan
21
comment The Riemann Hypothesis and the Langlands program
It does answer the question as posed... Perhaps there will be more to say, but this is pretty good.
Jan
21
comment The Riemann Hypothesis and the Langlands program
This is pretty strong. If I don't get any other answers to this thing, I think I'll accept this one.
Jan
19
awarded  Nice Question
Jan
19
revised The Riemann Hypothesis and the Langlands program
added 15 characters in body
Jan
19
awarded  Notable Question
Jan
19
comment The Riemann Hypothesis and the Langlands program
@Charles Matthews: This is precisely the sort of thing I wanted to know. Thanks!
Jan
19
asked The Riemann Hypothesis and the Langlands program
Dec
30
comment Excellent mathematical explanations
This reminds me of a comment in Spivak's Calculus on Manifolds stating something to the effect that choosing the right framework for the Stokes Theorem renders the proof almost trivial.
Dec
25
comment Excellent mathematical explanations
I completely agree. When I have a moment, I should modify the question to require the inclusion of pairs of proofs...
Dec
25
awarded  Popular Question