Siddarth Sankaran

Arithmetic geometry, number theory, Shimura varieties. [cv]

1. Zero-dimensional Shimura varieties and central derivatives of Eisenstein series
   • [preprint]
   
   
2. A genus two arithmetic Siegel-Weil formula on X_0(N)
   • (with Yousheng Shi and Tonghai Yang) Trans. Amer. Math. Soc 376 (2023), pp. 3995-4041. [preprint] [journal]
   
   
3. Arithmetic special cycles and Jacobi forms [preprint]
   
   
4. Green forms and the arithmetic Siegel-Weil formula
   • (with Luis Garcia) Invent. Math., 215 (2019), pp. 863-975. [preprint] [journal]
   • Note: There is an error in the published version of this paper, which is corrected in the preprint above. The error lies in the definition of the constant κ(T); all the results of the paper, as well as their proofs, are unchanged.
   
   
5. Twisted Hilbert modular surfaces, arithmetic intersections, and the Jacquet-Langlands correspondence
   • (with Gerard Freixas i Montplet) Adv. Math., 329 (2018), pp. 1-84. [preprint] [journal]
   
   
6. On two arithmetic theta lifts
   • (with Stephan Ehlen) Compositio Math., 154 (2018), pp. 2090--2149. [preprint] [journal]
   
   
7. Improper intersections of Kudla-Rapoport divisors and Eisenstein series
   • J. Math. Inst. Jussieu 16 (2017), pp. 899-945. [journal]
   
   
8. Unitary cycles on Shimura curves and the Shimura lift II
   • Compositio Math., 150 (2014), pp. 1963-2002. [journal]
   
   
9. Unitary cycles on Shimura curves and the Shimura lift I
   • Documenta Math., 18 (2013), pp. 1403-1464. [journal]
   
   

These links may be more up-to-date than the versions of these preprints appearing on the arXiv.

Fall 2018:

• Math 1510: Applied Calculus I
• Math 3320: Algebra II

For those enrolled in these courses, please visit the UM Learn page for updates.

Fall 2017:

• Math 1510: Applied Calculus I
• Math 1230: Differential Calculus

Winter 2017:

• Math 1500: Calculus I
• Math 4340/7340: Introduction to algebraic geometry

Past courses:

• MAT 236: Algebra II (Linear Algebra)
  • Winter 2015 and 2016, McGill University
  
  
• MAT135: Calculus
  • Summer 2010, University of Toronto