Кондырев Григорий Михайлович, Факультет математики (Москва)

НОМИНАЦИЯ «СЕРЕБРЯНЫЙ ПТЕНЕЦ»

Although there are a number of very strong students at the Faculty of Mathematics of the Higher School of Economics, I do not hesitate to say that Grigory is the best of them. While the research of most of our best students is very solid, it tends to be rather close to the work of their scientific advisors. Grigory, on the other hand, is mostly self-taught and fast becoming an expert on stable homotopy theory and derived algebraic geometry, highly technical and rapidly developing subjects. To find expert advice in these topics, Grigory has had to form a number of international contacts. Indeed, he wrote his fourth year course work on stable homotopy theory under the guidance of Doug Ravenel (Rochester; top expert in stable homotopy theory), and is currently working under the guidance of Dennis Gaitsgory (Harvard; top expert in geometric representation theory and derived algebraic geometry). He also corresponds regularly with Jacob Lurie (Harvard; top expert in stable homotopy theory and derived algebraic geometry).
His preprints include his third year paper `Derived infinity categories of two kinds' giving a proper modern treatment of `derived categories of the second kind' (available at http://arxiv.org/abs/1412.3198), as well as his joint paper `Categorical proof of holomorphic Atiyah-Bott formula' with fellow student Artem Prihodko, which gives a conceptual, higher categorical proof of the important Atiyah-Bott formula (available http://arxiv.org/abs/1607.06345). I expect the latter paper to be accepted for publication in a good journal in the next year. Grigory is currently working on a second paper, nearly finished, with Artem Prihodko giving a similar conceptual treatment of the Riemann-Roch theorem. This too I expect to be accepted in a good journal.
In addition to his original research activities, Grigory is very active in organising seminars. In 2015 he read his own course on chromatic homotopy theory at HSE, and together with Artem Prihodko has organised two official seminars at the Independent University of Moscow, on `topological modular forms' and on `Kervaire invariant one' (both hot topics in homotopy theory).
The latter seminars are advertised here: http://ium.mccme.ru/f15/f15-prihd+kondyrev.html and http://www.mccme.ru/~prihodko/courses/Kervaire/. In addition to these official seminars, Grigory has organised a number of very popular students seminars and has participated in my own seminars on derived algebraic geometry and non-commutative geometry, always giving the most advanced and insightful talks. In fact, I always learn something important and new when listening to a lecture of Grigory, and he is the first person to whom I go when I have a technical question in stable homotopy theory or higher category theory.
While I mostly interact with Grigory through his research activities, he is also an excellent student and teaching assistant. He has received marks of at least 9 in all courses at HSE in the last year, has been selected as intern in the Laboratory of Algebraic Geometry for the last two years, and has been a teaching assistant for a number of advanced courses at the Faculty of Mathematics, as well as for the Math in Moscow program at the Independent University of Moscow.
To conclude, I am certain Grigory will go on to a Ph.D. program in one of the top three mathematics departments in the world and have every reason to expect he will have great success as a researcher. The Higher School of Economics should be proud to have such students.