Ivan Ivanenko was one of the best and most hardworking Ph.D. students, I had ever seen at the Institute of Mathematics. Our collaboration started, when he had become my Ph.D. student at the Institute of Mathematics in 199 . His Ph.D. thesis is mainly devoted to (пару предложений о чем дисер). While working on his thesis, Ivan Ivanenko has demonstrated an outstanding research potential, result-oriented abilities and high level of self-motivation. This is evidenced by the fact that the results obtained were published in four papers in the major refereed journals within a relatively short period of research activity. In spite of the absence of standard methods for solving the problems considered in the thesis (they reduce to ┘) and major calculation difficulties, he succeeded in obtaining the final (in some sense) solution of the classical problem of the ┘, that before had not been solved. So, his evident mathematical talent and hardworking abilities are definitely the reliable basis for a future progress in ┘ .

I would also like to stress that Ivan Ivanenko has an important scientific streak, namely, sensitivity to new ideas, balanced by a good judgement. During the work on the thesis he made the best use of the computer algebra opportunities.

The proposed research is aimed at solving the really challenging and appealing problem of the modern ┘ . At present (тема проекта) can be regarded as one of the most intensively developed and significant field of the ┘ . It is especially the case for the ┘. To the best of my knowledge the proposed project would be a first attempt to investigate ┘ from the point of view of the ┘ .

Ivan Ivanenko combines the ability to interact effectively with co-workers (we have three joint papers), on the one hand, and the initiative and autonomy in research (he has three papers without co-workers), on the other hand. By now he is quite matured as independent and original scientist.

Furthermore, Ivan Ivanenko is open to exchange of ideas, discussions, collaboration with researchers representing other scientific schools in studying ... . I would also like to emphasize his language skills. Within a very short period he managed to learn English from the scratch and reach a level enabling him to write the research papers and make the talks in English. He had an oral presentations in English at the International Conference "┘." (Institute of Mathematics, Kiev, Ukraine, 20..) and at the XII Symposium on ┘ (University of .., Germany, 20...) and took part in the ┘ .

The further progress of Ivan Ivanenko, as a scientist, requires definitely more substantial and prolonged collaboration with representatives of other scientific schools and generations. Obtaining the Halyava Fellowship will give Ivan greater opportunities to develop scientifically and to fulfil the promise he has already shown. It will also deepen the already significant scientific collaboration between the Ukraine and (страна куда вы едете).

Therefore, I am of the opinion that he will be the best choice for a
position of Halyava Fellow and support enthusiastically his application
for the Halyava Fellowship with the Professor Johnson from the University
of ┘, as the host.

**Рекомендация от человека со стороны**

I am pleased to recommend the Junior Researcher of the Department ┘.of
the Institute of Mathematics Ivan Ivanenko for a Halyava Fellowship in
the University of ┘, under the supervision of Professor Johnson.

I know Ivan Ivanenko by his papers published in some of the most prestigious
research journals in my field, like "Journal of the American Mathematical
Society" and "American Journal of Mathematics" and by my visits to Kiev.
He is a very bright young researcher actively working in the field of ┘
.

In his principal publication "┘." (Amer. J. Math, 80, pp. 45-68), written in collaboration with his Ph.D.-supervisor Petro Stetsenko, Ivan Ivanenko has succeeded in solving the long-standing problem of ┘ . The main reason why this important problem has remained unsolved for so long is that its full solution requires ┘ . Furthermore, the method developed in the paper in question has a significant potential for further generalization to other ┘ .

The topic of two of his other papers, published in the "Journal of the American Mathematical Society" is the (пару предложений о чём статьи). These results constitute a very promising line of attack of the challenging problem of developing analytical methods for ┘ . This problem is of the utmost practical importance in view of the numerous applications of the ┘ in different areas of modern ┘ .

During my recent visit to Kiev in June-July 20┘, I learned of the latest work by Ivanenko, and I was especially impressed by his results on ┘ .

The problem of (название проекта, который вы подаёте) is a hot topic in ┘ . Progress in solving this problem can be achieved by further studying (тема Вашего дисера). Therefore the proposed project by Ivan Ivanenko, devoted to the ┘, is indeed a very promising direction for the continuation of his previous research. On other hand, the combination of the research potential and hard-working abilities of Ivan Ivanenko, together with the widely recognized expertise of Professor Johnson in ┘, definitely suggests a very high probability of success for the proposed project.

All of the above mentioned results were obtained by I. Ivanenko within a relatively short period of time. This evidences his ability to complete the research project within the schedule.

The papers mentioned above are clearly written in good English. Furthermore, Ivan Ivanenko has already considerable experience in oral presentation of his research results in English at several international conferences. So in my opinion the applicant will definitely have no communication problems.

Summing up, I would like to strongly support Ivan Ivanenko's application for an Halyava Fellowship, and I am certain that he will be a great asset to both the University of ┘ (куда вы едете) and to the Institute of Mathematics in Kiev.

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