The post Author Shrawan Kumar’s Mathematical Journey first appeared on FifteenEightyFour | Cambridge University Press.

]]>I earned my B.Sc. degree in 1973 from a small college aﬃliated to Gorakhpur University (in northeastern India) and then my M.Sc. degree in mathematics from Bombay University in 1975. Immediately afterwards, I joined the Tata Institute of Fundamental Research (TIFR), Bombay, to do my Ph.D. in mathematics which I obtained in 1986.

I held two postdoctoral positions: for one year (1983-84) at the Mathematical Sciences Research Institute, Berkeley, and for another year (1984-85) at MIT (as C.L.E. Moore Instructor). Then, I returned to TIFR as Fellow and then promoted to Reader. I moved to the University of North Carolina, Chapel Hill in 1991 as a Full Professor.

I have held short and long term visiting professor/scholar positions at various institutions including the Institute for Advanced Study, Princeton; MIT; The University of British Columbia; University of P. and M. Curie, Paris; Scoula Normale Superiore, Pisa; Ecole Normale Superieure, Paris; Max Planck Institut fur Mathematik, Bonn; ICTP, Trieste; Research Institute for Mathematical Sciences, Kyoto; Erwin Schrodinger International Institute for Mathematical Physics, Wien; Issac Newton Institute for Mathematical Sciences, Cambridge; Weizmann Institute, Israel; Hausdorﬀ Research Institute for Mathematics, Bonn; Institut Mittag-Leﬄer, Djursholm (Sweden); Duke University; University of Sydney.

In trying to build a theory it is very important to look at some examples and ‘test’ the questions one wants to ask. But, in the end, I am more interested in ‘general’ results. For example, I will not be satisﬁed to prove a result say for SL(n) (unless it is not true more generally) and I will try to prove it for general semisimple groups (which may sometimes require a diﬀerent modiﬁed formulation). For me, examples are stepping stones to a general theory. In the same vein, I am completely dissatisﬁed with a caseby-case proof of a general result. I like collaborations as is evident from my fairly long list of collaborators (36 so far). Collaborators bring diﬀerent expertise to bear on the problem at hand, which is often a great asset. But, it is important to have ‘right tuning’ with the collaborators.

It is very important to convey your results in a precise and clear way. When I am writing a paper or a book, I keep this principle in mind. I hope I have not been too unsuccessful. Some of the books by Milnor (e.g., his book with Stasheﬀ on ‘Characteristic Classes’), Rudin and Serre are my ideals.

The post Author Shrawan Kumar’s Mathematical Journey first appeared on FifteenEightyFour | Cambridge University Press.

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