Ritabrata Munshi
Assistant Professor
Department of Mathematics
Tata Institute of Fundamental Research
India
Biography
Dr. Munshi is an Assistant Professor at the school of Mathematics, TIFR. He works in number theory, automorphic forms, and arithmetic geometry. His research program involves fundamental objects such as L-functions, which appear in the Riemann hypothesis and its generalizations, and are central to the Langlands program. He has been developing the theory of relative trace formula to connect L-functions with algebro-geometric objects, notably the discovery of "arithmetic fundamental lemmas”. In the function field case, he has discovered geometric interpretations for the higher derivatives of L-functions.
Research Interest
Number Theory
Publications
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Munshi R (2015) On some recent applications of circle method Math. Student pp: 23-38.
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Munshi R (2015) The circle method and bounds for $L$-functions - II: Subconvexity for twists of GL(3) $L$-functions American J. Math pp: 791-812.
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Munshi R (2015) The circle method and bounds for $L$-functions - III: $t$-aspect subconvexity for GL(3) $L$-functions J. Amer. Math. Soc pp: 913-938.
