Olivia Caramello's website

 

Unifying theory

Controversy with category theorists

Francis Borceux's response  

I report below Francis Borceux’s response to my request for a clarification (in italic), followed by my reply to it.

Dear Olivia,

 

It is now already seven years ago that I stopped doing research and somehow, abandoned every contact with the international category theory community.

 

I understand from your message that some polemics exists between yourself and some members of the "categorical world". If so, I sincerely regret it.

This kind of situation occurs from time to time. In some cases, the divergence of points of view is the opportunity to confront ideas and go further. In other cases, it simply results in frustrations and a big loss of energy. And the situation becomes even worst when it enters the field of personal relations, not just mathematical ideas. Everything depends on the attitude of the various actors of the polemics and the respect that they show or not in front of their colleagues.

 

Myself, I have been confronted to an uncomfortable situation of that type, at some Oberwolfach meeting, as a young mathematician, in the years '70.

Some people claimed that my results did already exist in one form or the other in some unpublished work of them. I had to answer the objection and without too much thinking, I said: "Oh, if we are several people to have had these same ideas, certainly they must be very interesting". The audience laughed and since that day, people were naturally coming to me to confront their ideas with mines, instead of making sterile claims of priority. Of course, sometimes I have been disappointed to notice that my results were used in some papers or talks ... and that credit for these was unduly given to somebody else; but again, I decided never to react about that. And I must confess that I have had a "peaceful career".

 

I remember that one day, when I was already retired, Marino Gran invited you to give a talk in Louvain-la-Neuve. He insisted so much that eventually, I attended your talk: a true exception since I had promised myself no longer to attend mathematical talks. I had been impressed by your talk, by the extent and the deepness of your views on topos theory.  I said then to Marino that I was convinced that you would make a brilliant career. But having given up research, this talk has been my only contact with your mathematical work. Therefore I can by no means answer your questions about your work.

 

Let me just hope that all the actors of the present polemics, starting with yourself, will find the necessary serenity, moderation  and sense of responsibilities, to allow the mathematical community to take full advantage of your beautiful ideas and competences.

 

Kindly yours

 

Francis Borceux

 

Dear Professor Borceux,

I thank you very much for your response and your positive remarks about my work. Your letter importantly shows that it is current habit among certain category theorists to claim priority for unpublished results presented by some young researcher, especially when they realize that they could be important. As explained here, I have tried to avoid any polemics throughout the past five years with the experts from which I had received such accusation and to engage in a fruitful scientific dialogue with them, but my collaborative propositions have been systematically refused. The only thing that really seemed to interest these experts is that I attribute the results that I happened to discover on my own and for which there were not any traces in the literature (or in alternative recorded forms) to them by specifying that they “knew everything already”. Of course, I could not accept these intimidations, which are ethically incorrect and go against the general rules of the scientific community as far as it concerns attribution of results to authors. This was enough to generate a denigratory campaign against me based on the accusation that “large parts of my work are folklore” and on personal attacks such as “she thinks of herself more highly than anyone else” etc.

I am happy to say that this initiative of clarification has been very useful, as it has emerged very clearly that such accusations were ungrounded (none of the contacted experts was able to provide a single reference containing a proof or a statement of a result that I attributed to myself but which had been proved before, nor anyone showed that any of my results could be deduced from previously existing results in an essentially straightforward way).

Best regards,

Olivia Caramello