stoimeno_stoimenov.net
Please note this when you email me.
Thank you.
Here is my CV as PS and
PDF (and in Korean PS and
PDF), and a few (more) facts about me in HTML.
My (current GIST) namecard in
English and Korean. Here are older ones:
Keimyung, KAIST (in English and
Korean), Osaka CU in
Japanese and
English.
My Interests
Conduct and Correctness in Mathematical Publishing
"We risk sliding down toward the standards where the validity of
action is decided by whether one can get away with it."
(P. Doty)
"We do not 'risk' sliding down toward such standards; we have
reached them." (S. Lang)
This is an essay
in which I try to express my fear about the
establishment of a culture of publishing, where no one is willing to
take responsibility for the correctness of mathematics, and readers
finding mistakes in published proofs are stamped as outcasts, because
they are deemed to target the reputation of authors and journals.
A summary appeared in the June/July 2010
Notices of the AMS, Letters to the Editor.
As a respectable senior puts it:
"... don't be so hard on the mathematical careerists. They're
not as smart as you and must be held to a lower standard."
You can read
here the follow-up article that was (finally!) published.
Photos
Some old photos (now more, but takes less to load because reorganized!)
For more recent photos, you may check out my flickr page.
Conferences
I organized (or co-organized):
I plan to join:
A few interesting knots
My favorite knot 942.
From the table one sees that it has self-conjugate
Homfly (even Kauffman) polynomial, but it
does prove that it is chiral! How?
Hint: the next such knot is 10125.
Is the above knot that of the Rolfsen picture
or its obverse?
15224980, Thistlethwaite's achiral 15 crossing knot.
Here
I announced the construction of amphicheiral knots of
all odd crossing numbers >15.
A 21(?) crossing knot for which Morton's
conjectured inequality fails. (See here for explanation.)
Working topics
More specifically, my current working topics are:
- properties of positive knots and related knot classes.
- properties of the knot polynomials, especially the Jones polynomial
- Seifert surfaces coming from the Seifert algorithm
- Gauss sums and Vassiliev invariants in the 3-sphere and solid torus
- evaluation of knot tables for knots with specific properties
- unknotting numbers
- number theoretical properties of knot invariants
- Density of the Burau and Lawrence-Krammer representation
Alexander Stoimenow,
stoimeno_stoimenov.net
This web page was last updated 06/21/24 07:19:11.
My attitude toward my webpage is (and it therefore looks) like
this of many other mathematicians: I would love to have a
much nicer one, but spending time on it is one of my last
priorities. In particular, while I update this page from time
to time, some parts may still be hopelessly outdated.
