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: | |

Web Page: | http://www.math.duke.edu/~dasgupta/ |

**Teaching (Fall 2020):**

- MATH 305S.01,
*NUMBER THEORY*Synopsis- Physics 227, WF 01:25 PM-02:40 PM

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

**Recent Publications**- 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] - 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] - Dasgupta, S; Voight, J,
*Sylvester’s problem and mock heegner points*, Proceedings of the American Mathematical Society, vol. 146 no. 8 (January, 2018), pp. 3257-3273, American Mathematical Society (AMS) [doi] [abs] - Dasgupta, S; Spieß, M,
*Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units*, Journal of the European Mathematical Society, vol. 20 no. 11 (January, 2018), pp. 2643-2683, European Mathematical Publishing House [doi] [abs] - Dasgupta, S; Spieß, M,
*The Eisenstein cocycle and Gross’s tower of fields conjecture*, Annales Mathématiques Du Québec, vol. 40 no. 2 (August, 2016), pp. 355-376, Springer Nature [doi] [abs]

- Dasgupta, S; Spiess, M,

**Recent Grant Support***Beyond L-functions: the Eisenstein Cocycle and Hilbert's 12th Problem*, National Science Foundation, 2019/08-2022/07.