Dipendra Prasad

Dipendra Prasad
Name	Dipendra Prasad
Nationality	Indian
Fields	Mathematics
Institutions	Tata Institute of Fundamental Research; University of British Columbia; Institute for Advanced Study
Alma mater	Harvard University; University of Cambridge; St. Xavier's College, Kolkata
Doctoral advisor	Benedict H. Gross

Dipendra Prasad is an Indian mathematician known for contributions to number theory, representation theory, and automorphic forms. He has worked on problems connecting the Langlands program, automorphic representations, and arithmetic geometry, with collaborations and influences tracing through major centers such as the Institute for Advanced Study, Harvard University, and the Tata Institute of Fundamental Research. His work interfaces with themes explored by scholars from institutions like the University of Cambridge, Princeton University, and the École Normale Supérieure.

Early life and education

Prasad was educated in India and abroad, attending institutions that include St. Xavier's College, Kolkata and later pursuing graduate studies at Harvard University under advisors linked to the community around Benedict H. Gross and the broader tapestry of researchers associated with Harvard University Department of Mathematics. His formation occurred amidst mathematical cultures represented by places such as the University of Cambridge and interactions with scholars from the University of Chicago, Yale University, and University of California, Berkeley. During his doctoral and postdoctoral periods he engaged with problems investigated at the Institute for Advanced Study, the University of Michigan, and the Massachusetts Institute of Technology.

Academic career

Prasad has held positions at leading research centers including the Tata Institute of Fundamental Research and visiting appointments at institutions like the Institute for Advanced Study and the University of British Columbia. His academic trajectory placed him in networks involving the Courant Institute, Princeton University, and Columbia University, fostering collaborations with mathematicians from the California Institute of Technology, University of California, Los Angeles, and Stanford University. He has supervised students and postdoctoral researchers who have gone on to roles at institutions such as the University of Chicago and École Polytechnique. Prasad's teaching and mentorship activities connect to programs at the Indian Statistical Institute, IISc Bangalore, and summer schools linked to the International Centre for Theoretical Sciences.

Research contributions

Prasad's research addresses questions in the representation theory of reductive groups, local and global aspects of automorphic forms, and conjectures within the Langlands framework. He has worked on branching laws for representations of GL(n), SO(n), and unitary groups, producing results that touch on problems studied at the Institute for Advanced Study and by researchers at Harvard University, Yale University, and the University of Cambridge. His investigations of period integrals and distinction phenomena relate to work by scholars at Princeton University, Stanford University, and the École Normale Supérieure. Prasad contributed to explicit criteria for distinction in terms of local epsilon factors and root numbers, connecting to concepts examined by groups at the Max Planck Institute for Mathematics and the Institut des Hautes Études Scientifiques. He has produced notable results on the Gan–Gross–Prasad conjectures, interacting with research from the University of Michigan, Columbia University, and the California Institute of Technology. His proofs and techniques draw on harmonic analysis on p-adic groups, trace formula considerations prominent at the Institute for Advanced Study, and arithmetic inputs akin to those used at Harvard University and Princeton University.

Awards and honors

Prasad's work has been recognized within mathematical circles, earning invitations to speak at conferences organized by bodies such as the International Mathematical Union, the American Mathematical Society, and the European Mathematical Society. He has delivered lectures at venues including the Institute for Advanced Study, the International Congress of Mathematicians satellite meetings, and workshops hosted by the Indian Academy of Sciences and the National Academy of Sciences, India. His contributions have been highlighted in conference proceedings alongside researchers from Princeton University, Stanford University, and the University of Cambridge.

Selected publications

Prasad is author or co-author of influential papers and monographs appearing in journals and volumes associated with publishers and organizations like the American Mathematical Society, the London Mathematical Society, and proceedings of conferences at the Institute for Advanced Study. Representative topics include articles on distinction for representations of classical groups, local root numbers and epsilon factors for pairs, and branching laws linked to the Gan–Gross–Prasad conjectures. His publications often appear in venues frequented by authors from Harvard University, Princeton University, and the École Normale Supérieure.

Professional memberships and editorial roles

Prasad participates in the international mathematical community through membership and service in organizations such as the American Mathematical Society, the Indian Mathematical Society, and committees associated with the International Centre for Theoretical Sciences. He has held editorial responsibilities and refereed submissions for journals connected to the London Mathematical Society and the American Mathematical Society, and has organized sessions at conferences convened by the International Congress of Mathematicians, the European Mathematical Society, and national academies like the Indian National Science Academy.

Category:Mathematicians Category:Number theorists Category:Representation theorists