Samit Dasgupta, Professor

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.

Contact Info:

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

Teaching (Fall 2024):

• MATH 305S.01, NUMBER THEORY Synopsis

  Physics 227, TuTh 10:05 AM-11:20 AM

• MATH 404.01, MATHEMATICAL CRYPTOGRAPHY Synopsis

  Physics 119, TuTh 11:45 AM-01:00 PM

Education:

Ph.D.	University of California, Berkeley	2004
A.B.	Harvard University	1999

Recent Publications   (More 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; Kakde, M, On the rank one Gross–Stark conjecture for quadratic extensions and the Deligne–Ribet q-expansion principle, Advanced Studies in Pure Mathematics, vol. 86 (January, 2020), pp. 243-254 [doi]  [abs]
5. 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]

Recent Grant Support

• RTG: Linked via L-functions: training versatile researchers across number theory, National Science Foundation, 2023/10-2028/09.      
• The Brumer-Stark Conjecture and its Refinements, National Science Foundation, 2022/07-2027/06.      
• Beyond L-functions: the Eisenstein Cocycle and Hilbert's 12th Problem, National Science Foundation, 2019/08-2022/07.