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Abel Prize

Defines: 
Abel Laureate
Type of Math Object: 
Definition
Major Section: 
Reference
Groups audience: 

Mathematics Subject Classification

01A65 no label found01A61 no label found

Comments

I want to be nominated for Abel Prize. See:

http://www.mathematics21.org/abel-prize.html

See also
http://www.mathematics21.org/algebraic-general-topology.html
for my discoveries in point-set topology.
--
Victor Porton - http://www.mathematics21.org
* Algebraic General Topology and Math Synthesis

From the Abel Prize guidelines:

"The prize is meant to recognize contributions of extraordinary depth and influence to the mathematical sciences. Such work may have resolved fundamental problems, created powerful new techniques, introduced unifying principles or opened up major new fields of research."

A primary measure of the "depth and influence" of a mathematical contribution is the number of important works that cite it. Please post a list of books and papers that cite your work to help us evaluate its worthiness.

The other day I thought I had almost solved the Schmuckelheim conjecture. The fact that I turned 40 so long ago should not deter the Fields medal committee in any way.
--
John

Hi all,
I want to add ratboy's post a little addendum about this question.
The fact that Victor has developed some new definitions and properties that are inferred from it (without taking into account whether they are important or not) is not enough to aspire to be nominated for that prestigious award. All of us we have noticed there are two references that apparently support Victor's research, but they are written by Victor himself.
Why not try to publish his work in Arxiv, for instance?
perucho

> aspire to be nominated for that prestigious award. All of us
> we have noticed there are two references that apparently
> support Victor's research, but they are written by Victor
> himself.
> Why not try to publish his work in Arxiv, for instance?

Oh! I'm not endorsed for arXiv. Please endorse me for allowing to place my articles into arXiv. Below is the endorsement letter:

---------------

(Victor Porton should forward this e-mail to someone who's registered as
an endorser for the math.GN (General Topology) subject class of arXiv.)

Victor Porton requests your endorsement to submit an article to the
math.GN section of arXiv. To tell us that you would (or would not) like
to endorse this person, please visit the following URL:

http://arxiv.org/auth/endorse.php?x=8KIXKG

If that URL does not work for you, please visit

http://arxiv.org/auth/endorse.php

and enter the following six-digit alphanumeric string:

Endorsement Code: 8KIXKG
--
Victor Porton - http://www.mathematics21.org
* Algebraic General Topology and Math Synthesis

"Publishing" on the arxiv is not really publishing. The papers that go up there get about a 10 min look and as long as they aren't obviously flawed they go up. There is no chance that getting a paper on the arxiv will even get you a tenure track job let alone prize!

If Victor wants an Abel prize he'll need papers published in the Annals of Math.

...to that, good luck.

(I can anticipate the response: it is an unfair system this publishing business.....my answer..... get over it! It is the system. You can't win on American idol unless your young, pretty, and can sing. You cannot win a math prize unless you publish (seems more fair than american idol). Fair or not, them's the rules.)

> "Publishing" on the arxiv is not really publishing. The
> papers that go up there get about a 10 min look and as long
> as they aren't obviously flawed they go up. There is no
> chance that getting a paper on the arxiv will even get you
> a tenure track job let alone prize!

There are a counterexample: Perelman's work capable of Millenium prize (which is IMO an equivalent of Abel Prize) is published only on arXiv.

> If Victor wants an Abel prize he'll need papers published in
> the Annals of Math.

What are "Annals of Math"? Is it a particular publication or a collective name of all math journals?

> ...to that, good luck.

Surely I am going to publish.

But now I have a problem:

My 90% ready article "Funcoids and Reloids" (which is the first of my works containing significant discoveries) depends on some text about properties of filters (on lattices). AFAIK, in the world there are no such text... I need to write and publish a text about filters on lattices or on posets. Now I have some preliminary rough drafts on this.

The solution of this problem which I anticipated has taken as its final form, to write and to publish article "Filters on posets and generalizations". It will consider not only filters but arbitrary posets with some subset which I call "core" (e.g. the core of the lattice of filters on some poset will be that poset). Maybe I also will publish a book on this topic (adding elementary lattice theory to the article).

The problem was that it would be hard to officially publish some text on filters. I think my generalization of filters will pass over the publishing barrier and further all publishing should go smoothly.

"Funcoids and Reloids"
http://www.mathematics21.org/binaries/funcoids-reloids.pdf

See also
http://www.mathematics21.org/algebraic-general-topology.html
--
Victor Porton - http://www.mathematics21.org
* Algebraic General Topology and Math Synthesis

> There are a counterexample: Perelman's work capable of
> Millenium prize (which is IMO an equivalent of Abel Prize)
> is published only on arXiv.

True, but it also needs to be mentioned that, at the time
this happened, Perelman had already established his
reputation by publishing in reputable peer-reviewed
journals as well as obtaining positions in world-renowned
research institutes. Sure, once one has a track record
of journal publications in a particular subject, many
mathematicians will take preprints by that person seriously
because they believe the person is competent but, in the
case of a relative newcomer who does not already have a big
list of journal publications, most mathematicians are likely
to be skeptical about that person's preprints and are not
likely to even look at them until they have been reviewed by
an editorial board.

> > If Victor wants an Abel prize he'll need papers published
> > in
> > the Annals of Math.
>
> What are "Annals of Math"? Is it a particular publication or
> a collective name of all math journals?

It is a particular publication.

Unless the rules for that particular prize require that the
work be published in that particular journal, I don't agree
with the statement above --- I would say that what is required
is publication in a journal generally regarded as trustworthy
and reputable. While Annals of Mathematics is such a journal,
it is by no means the only one.

Also, if your aim is to win a prize for your work, you might
want to keep in mind that the matematical community usually
tends to award recognition and prizes, not for developing
general theory, but for solving specific problems, especially
if those problems happen to be longstanding conjectures by
famous mathematicians. For instance, Perelman did not get
his prize because he developed the theory of Ricci flows, but
because he settled the Poincare conjecture. Therefore, if
your ambition is to win a prize, you might want to look for
open problems which could be done using your new techniques
and work on solving them.

> Also, if your aim is to win a prize for your work, you might
> want to keep in mind that the matematical community usually
> tends to award recognition and prizes, not for developing
> general theory, but for solving specific problems,
> especially
> if those problems happen to be longstanding conjectures by
> famous mathematicians. For instance, Perelman did not get
> his prize because he developed the theory of Ricci flows,
> but
> because he settled the Poincare conjecture. Therefore, if
> your ambition is to win a prize, you might want to look for
> open problems which could be done using your new techniques
> and work on solving them.

Hm, honestly, I know a few such problems to solving which my theory can be applied. It is too abstract.

I will attempt so solve "Is every regular paratopological group Tychonoff?"
http://garden.irmacs.sfu.ca/?q=op/is_every_regular_paratopological_group...

I have not yet carefully looked into online articles "Quasi-uniform spaces" and "Quasi-uniform Spaces in the Year 2001" for more problems I may attempt to solve.

Probably most usefully for problem-solving along the rest of my research I have an idea how to introduce generalized limit of arbitrary (discontinuous) function. It may have great impact for the differential equations theory and likewise. My current article on this is currently incorrect (I say in the text of that article that some things are unproved), but apparently I know how to correct it. This (currently broken) article idea is avail at
http://www.mathematics21.org/binaries/generalized-limit.pdf

As the contrary I opened much new open problems for the future researchers :-)
http://www.mathematics21.org/binaries/agt-open-problems.pdf
--
Victor Porton - http://www.mathematics21.org
* Algebraic General Topology and Math Synthesis

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