Samit Dasgupta, Professor

Samit Dasgupta

My research is in algebraic number theory, specifically the explicit construction of units in number fields and points on abelian varieties.  There are many classical conjectures regarding the relationships between these elements and special values of L-functions, such as the conjectures of Stark, Birch-Swinnerton-Dyer, and Beilinson.  In my research I have made progress on these conjectures as well as stated and studied various generalizations and refinements that go beyond the world of L-functions.  Much of my work uses the theory of modular forms and their associated Galois representations in order to shed light on these problems.

Office Location:  
Office Phone:  (919) 660-2800
Email Address: send me a message
Web Page:  http://www.math.duke.edu/~dasgupta/

Teaching (Fall 2024):

Education:

Ph.D.University of California, Berkeley2004
A.B.Harvard University1999
Recent Publications

  1. Dasgupta, S; Kakde, M, BRUMER–STARK UNITS AND EXPLICIT CLASS FIELD THEORY, Duke Mathematical Journal, vol. 173 no. 8 (January, 2024), pp. 1477-1555 [doi]  [abs]
  2. Dasgupta, S; Kakde, M, On the Brumer-Stark conjecture, Annals of Mathematics, vol. 197 no. 1 (January, 2023), pp. 289-388, Annals of Mathematics [doi]  [abs]
  3. Dasgupta, S; Kakde, M, On constant terms of Eisenstein series, Acta Arithmetica, vol. 200 no. 2 (January, 2021), pp. 119-147 [doi]
  4. Dasgupta, S; Spiess, M, On the characteristic polynomial of the gross regulator matrix, Transactions of the American Mathematical Society, vol. 372 no. 2 (January, 2019), pp. 803-827 [doi]  [abs]
  5. Dasgupta, S; Kakde, M; Ventullo, K, On the Gross-Stark Conjecture, Annals of Mathematics, vol. 188 no. 3 (November, 2018), pp. 833-870, Annals of Mathematics, Princeton U [doi]  [abs]
Recent Grant Support