# Jon Bannon

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 Name Jon Bannon Member for 3 years Seen 6 hours ago Website Location Siena College, Loudonville, NY Age
I am an associate professor at Siena College. My deepest thanks to the creators of this site.
 Jun11 comment Are Hyperbolic Groups Residually AmenableYou're welcome! The conjecture below Proposition 7 looks interesting, doesn't it? Jun11 accepted Are Hyperbolic Groups Residually Amenable Jun11 answered Are Hyperbolic Groups Residually Amenable Jun11 comment Are Hyperbolic Groups Residually Amenable@unknown(google): Baumslag solitar groups are residually solvable, hence residually amenable. Certain of these are not residually finite. Jun4 comment how to define the gradient of the scalar function on c* algebraThis 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? Jun4 comment how to define the gradient of the scalar function on c* algebraYou need to flesh this question out. Write it in full detail, or it will be quickly closed. Click on "how to ask" above! May13 awarded ● Yearling May7 comment Sub-unital maps between C*-algebras: is there any relevant result?This question needs to be sharpened. Apr27 comment What does a mathematician expect from mathematics education? Thanks, Ronnie Brown! Apr20 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". Apr20 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. Apr20 awarded ● Nice Answer Apr20 answered What does a mathematician expect from mathematics education? Apr12 comment Cool problems to impress students with group theoryThis set of notes is excellent! Apr7 revised Find a lower bound for a pre-invariant $Fol(L(F_m), X_m)$deleted 5 characters in body Apr7 revised Find a lower bound for a pre-invariant $Fol(L(F_m), X_m)$added 1 characters in body Apr7 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 Apr7 awarded ● Nice Answer Apr5 revised Find a lower bound for a pre-invariant $Fol(L(F_m), X_m)$edited tags Apr5 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. Apr4 comment Is there a deep reason for the fecundity of involutions?!@Mariano: From where I stand, that is very reasonable! Apr4 asked Is there a deep reason for the fecundity of involutions? Mar24 comment PhD in operator algebras and non-commutative geometryFind 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. Mar24 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/… Mar5 comment Outer automorphisms of Borel subgroupWelcome, Dmitri! Jan27 comment Learning through guided discovery@Théophile: I'm happy to pass this along. Jan26 answered Learning through guided discovery Jan26 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. Jan24 awarded ● Popular Question Jan22 comment The Riemann Hypothesis and the Langlands programThis is a nice flyover! Thank you for the response. Jan21 comment The Riemann Hypothesis and the Langlands programIt does answer the question as posed... Perhaps there will be more to say, but this is pretty good. Jan21 comment The Riemann Hypothesis and the Langlands programThis is pretty strong. If I don't get any other answers to this thing, I think I'll accept this one. Jan19 awarded ● Nice Question Jan19 revised The Riemann Hypothesis and the Langlands programadded 15 characters in body Jan19 awarded ● Notable Question Jan19 comment The Riemann Hypothesis and the Langlands program@Charles Matthews: This is precisely the sort of thing I wanted to know. Thanks! Jan19 asked The Riemann Hypothesis and the Langlands program Dec30 comment Excellent mathematical explanationsThis 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. Dec25 comment Excellent mathematical explanationsI completely agree. When I have a moment, I should modify the question to require the inclusion of pairs of proofs... Dec25 awarded ● Popular Question