Mathematical Sciences 2016

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Infosys Prize Mathematical Sciences 2016 Number theory is the branch Ancient civilizations developed intricate of mathematics that deals with methods of counting. Sumerians, Mayans properties of whole numbers or and Greeks all show evidence of elaborate positive integers. mathematical calculations. Akshay Venkatesh Professor, Department of Mathematics, Stanford University, USA • B.Sc. in Mathematics from The University of Western Australia, Perth, Australia • Ph.D. in Mathematics from Princeton University, USA Numbers are Prof. Akshay Venkatesh is a very broad mathematician everything who has worked at the highest level in number theory, arithmetic geometry, topology, automorphic forms and Number theorists are particularly interested in ergodic theory. He is almost unique in his ability to fuse hyperbolic ‘tilings’. These ‘tiles’ carry a great deal of information that are significant in algebraic and analytic ideas to solve concrete and hard number theory. For example they are very problems in number theory. In addition, Venkatesh’s work on the interested in the characteristic frequencies of cohomology of arithmetic groups the tiles. These are the frequencies the tiles studies the shape of these tiles and would vibrate at, if they were used as drums. “I think there’s a lot of math in the world that’s not connects it with other areas of math. at university. Pure math is only one part of math but math is used in a lot of other subjects and I think that’s just as interesting. So learn as much as you can, about all the subjects around math and then see what strikes you as the most interesting.” Prof. Venkatesh works in the field of This is ergodic number theory and observes such theory—a branch of fascinating phenomena as what would mathematics that studies the trajectories of a billiard ball look dynamical systems with like, if one of these hyperbolic (curved) an invariant measure and tiles were to be used as a billiard table. related problems..

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After Ramanujan Left Us– a Stock-Taking Exercise S
Ref: after-ramanujanls.tex Ver. Ref.: : 20200426a After Ramanujan left us– a stock-taking exercise S. Parthasarathy [email protected] 1 Remembering a giant This article is a sequel to my article on Ramanujan [14]. April 2020 will mark the death centenary of the legendary Indian mathe- matician – Srinivasa Ramanujan (22 December 1887 – 26 April 1920). There will be celebrations of course, but one way to honour Ramanujan would be to do some introspection and stock-taking. This is a short survey of notable achievements and contributions to mathematics by Indian institutions and by Indian mathematicians (born in India) and in the last hundred years since Ramanujan left us. It would be highly unfair to compare the achievements of an individual, Ramanujan, during his short life span (32 years), with the achievements of an entire nation over a century. We should also consider the context in which Ramanujan lived, and the most unfavourable and discouraging situation in which he grew up. We will still attempt a stock-taking, to record how far we have moved after Ramanujan left us. Note : The table below should not be used to compare the relative impor- tance or signiﬁcance of the contributions listed there. It is impossible to list out the entire galaxy of mathematicians for a whole century. The table below may seem incomplete and may contain some inad- vertant errors. If you notice any major lacunae or omissions, or if you have any suggestions, please let me know at [email protected]. 1 April 1920 – April 2020 Year Name/instit. Topic Recognition 1 1949 Dattatreya Kaprekar constant, Ramchandra Kaprekar number Kaprekar [1] [2] 2 1968 P.C.
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Program of the Sessions San Diego, California, January 9–12, 2013
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2004 Research Fellows
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Mathematics People
Mathematics People Akshay Venkatesh was born in New Delhi in 1981 but Venkatesh Awarded 2008 was raised in Perth, Australia. He showed his brillance in SASTRA Ramanujan Prize mathematics very early and was awarded the Woods Me- morial Prize in 1997, when he finished his undergraduate Akshay Venkatesh of Stanford University has been studies at the University of Western Australia. He did his awarded the 2008 SASTRA Ramanujan Prize. This annual doctoral studies at Princeton under Peter Sarnak, complet- prize is given for outstanding contributions to areas of ing his Ph.D. in 2002. He was C.L.E. Moore Instructor at the mathematics influenced by the Indian genius Srinivasa Massachusetts Institute of Technology for two years and Ramanujan. The age limit for the prize has been set at was selected as a Clay Research Fellow in 2004. He served thirty-two, because Ramanujan achieved so much in his as associate professor at the Courant Institute of Math- brief life of thirty-two years. The prize carries a cash award ematical Sciences at New York University and received the of US$10,000. Salem Prize and a Packard Fellowship in 2007. He is now professor of mathematics at Stanford University. The 2008 SASTRA Prize Citation reads as follows: “Ak- The 2008 SASTRA Ramanujan Prize Committee con- shay Venkatesh is awarded the 2008 SASTRA Ramanujan sisted of Krishnaswami Alladi (chair), Manjul Bhargava, Prize for his phenomenal contributions to a wide variety Bruce Berndt, Jonathan Borwein, Stephen Milne, Kannan of areas in mathematics, including number theory, auto- Soundararajan, and Michel Waldschmidt. Previous winners morphic forms, representation theory, locally symmetric of the SASTRA Ramanujan Prize are Manjul Bhargava and spaces, and ergodic theory, by himself and in collabora- Kannan Soundararajan (2005), Terence Tao (2006), and tion with several mathematicians.
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2019-2020 Award #1440415 August 10, 2020
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Number-Theory Prodigy Among Winners of Coveted Maths Prize Fields Medals Awarded to Researchers in Number Theory, Geometry and Differential Equations
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Mathematics People
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Mathematics People
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Notices of the American Mathematical
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Mathematics People
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