Olivia Caramello's website

 

Unifying theory

Controversy with category theorists

A few selected episodes

I report here a few selected episodes with the purpose of giving an idea of the hostile behavior from some influential category theorists that I have suffered throughout the past years, and of their consequences. For episodes concerning Peter Johnstone and Martin Hyland see here instead.

Experiences with F. William Lawvere

F. W. Lawvere, on the occasion of the PSSL in Cambridge in honor of the 60th birthday of Peter Johnstone and Martin Hyland in 2009, remarked in his talk, in front of an audience of 150 people (and without alerting me in advance), that he needed to correct a mistake that I had made in my talk which took place in the morning of the same day. In fact, there was no mistake, but I was not given the opportunity by the chair of the session to intervene (with the pretext that it was the last talk of the day and we needed to finish). So I talked to Lawvere afterwards explaining that I had
made no mistakes at all in my talk, and asked him to rectify his statement. He recognized that I was right, but I had to insist a lot to make him retreat his claim on the following day, something he eventually did albeit rather reluctantly.

A few days later, I participated in an informal workshop on topos theory at the University of Bristol to which Lawvere had invited me. After I exposed the contents of a draft of my preprint “Lattices of theories”, Lawvere began to aggressively argue - and this lasted for a couple of hours at least - that the duality theorem could not be true, trying to find counterexamples to it. These conversations were recorded by Michael Wright, who attended the whole meeting. I eventually managed to convince him, with the help of Matias Menni, that the theorem was indeed correct.

In spite of these discouraging experiences, I tried my best to instaure a fruitful scientific dialogue with him; for instance, I arranged for him to be invited to give a talk at the Scuola Normale Superiore di Pisa (he accepted the invitation). A week later, I sat at the same table as him and Johnstone at the CT2010 social dinner; the following day I would present the preprint “The unification of Mathematics via Topos Theory” at the conference. Lawvere warned me: “nobody will follow you”. The talk went apparently pretty well: I did not receive any criticisms or aggressive remarks from the audience, just positive comments and enthusiastic reactions from many of the young people present. But when I tried to approach Lawvere afterwards, I found him unwilling to talk to me and on the point of leaving the conference before the end.

Experiences with I. Moerdijk and the Annals of Pure and Applied Logic

In 2010 I. Moerdijk as Editor of the Annals of Pure and Applied Logic made pressures to me, in the context of the submission of my paper “A characterization theorem for geometric logic”, so that I refer to the duality theorem which plays a crucial role in the proof of the main result as “folklore” or that I cite as references for it texts that in fact do not contain any statement, let alone any proof, of it. After I pointed out to him that these sources were not relevant in connection with the duality theorem and I asked for any other references proving that the result was not original to me, Moerdijk did not provide any and eventually accepted - although avoiding to explicitly recognize that I was right (he did not reply to my question) - that I cite my preprint “Lattices of theories” in the article in connection with such result.

I should add that many people reported to me throughout the past years having heard Moerdijk commenting about me that significant parts of my work consisted of well-known results. Despite this, I proposed Moerdijk to collaborate on an occasion on which it would have been natural to do so, but he refused. I was therefore not exceedingly surprised when in 2014, as Editor of the Annals of Pure and Applied Logic, he rejected my paper “Fraisse's construction from a topos-theoretic perspective” after several months from its submission, on the grounds that he was not able to find a suitable referee and had only heard vague and negative opinions about it. This paper, which I consider one of my very best works, was then submitted to the journal “Logica Universalis” and accepted after only 3 months on the basis of three detailed and positive referee reports. Nonetheless, this happened in 2014, after I had been trying to get this paper published for five years (receiving a total of 6 rejections by different journals, always accompanied by erroneous or scientifically vague and ungrounded reports).

The remarks of Steve Awodey about my solution to Moerdijk’s conjecture

S. Awodey's MathSciNet review of my paper “A characterization theorem for geometric logic”, which provided a solution to a conjecture of I. Moerdijk dating back to 1989, does not do any justice to the paper. Indeed, it does not even mention this fact, referring to the methods used in the paper as "straightforward considerations involving classifying toposes". I do not consider this paper as a particularly sophisticated piece of work, especially compared with my other articles, but there are ideas in it and Moerdijk's conjecture was certainly non-straightforward, otherwise it would have been solved immediately, by Moerdijk himself for instance (or by Makkai, to which Moerdijk’s letter containing the conjecture was originally addressed).

For another example of an errouneous review by Steve Awodey of a paper of mine, see here.

The rejection of “Lattices of theories” from the Editors of the Proceedings of the CT2010

In 2010 my paper “Lattices of theories” got rejected by the four editors of the proceedings of the CT 2010 to be published in the Journal of Pure and Applied Algebra, after just two days of its receipt and without subjecting it to a proper refereeing, on the grounds that “the paper is way too long, with large parts of known material”. The Editors also added that “it is our opinion that your paper needs a complete redoing, and we are convinced that can be achieved by reducing it to new and original research”. I repeatedly asked them, both collectively and individually, to back up their claims with at least one precise reference of a result in that paper that I attributed to myself but which had in fact been proved before, but nobody replied.

The experience with EPSRC

In 2012 my application for an EPSRC Early Career Fellowship to be held at the University of Cambridge got rejected without even being shortlisted for interview, after 7 reports were collected, of which 5 gave the maximal possible mark, one gave a very good mark (5/6) and one, coming at the very end of the review collecting process, gave 3/6 with very poor scientific justifications. This latter referee explicitly stated that “Caramello is clearly prolific and energetic, and she has a good track record of problem solving on the interface between topos theory and logic” and that “were it not for the excessive hype, I would probably argue for it (the proposal) to be funded”, justifying his very negative evaluation on the sole pretext that I was “overselling” my research and that this could be dangerous for the career of the two research assistants associated to the project. When I contacted the University of Cambridge in order to ask for the support necessary for issuing a complaint to EPSRC concerning the evaluation of my application, which was blatantly unfair for several reasons (normally a proposal is shortlisted by EPSRC for interview with just 3 positive reviews), such a support was refused.

I will inform the EPSRC about the results of this initiative of clarification, since the fact, emerged on this occasion, that the professors of the Cambridge research group to which I belonged were diffusing ungrounded negative opinions on my work and my person is relevant in connection with the rejection of my application. Any (non-confidential) response that I receive from them will be reported here. I will also ask Dr. Peter Hedges and Prof. Lynn Gladden of the research office of the University of Cambridge to reconsider my request of support for my complaint to EPSRC. I do not certainly expect, after more than 2 years, EPSRC’s decision to be revisited, but I think that it is important that the persons inside the University of Cambridge who are scientifically responsible for the decision of not supporting my complaint to EPSRC are identified