Jennifer S. Balakrishnan

Email: jen [at] math [dot] harvard [dot] edu

Office: SC 130b

About me

I am an NSF postdoctoral fellow at Harvard. I received my PhD from MIT in June 2011, under the direction of Kiran Kedlaya.

Papers

  1. p-adic height pairings and integral points on hyperelliptic curves (with Amnon Besser and J. Steffen Müller)
  2. Comparing arithmetic intersection formulas for denominators of Igusa class polynomials (with Jacqueline Anderson, Kristin Lauter, Jennifer Park, and Bianca Viray)
  3. A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties (with J. Steffen Müller and William Stein)
  4. A non-abelian conjecture of Birch and Swinnerton-Dyer type for hyperbolic curves (with Ishai Dan-Cohen, Minhyong Kim, Stefan Wewers)
  5. p-adic heights of Heegner points and anticyclotomic Lambda-adic regulators (with Mirela Çiperiani and William Stein)
  6. On 3-adic heights on elliptic curves
  7. Coleman integration for even degree models of hyperelliptic curves
  8. Coleman-Gross height pairings and the p-adic sigma function (with Amnon Besser), to appear in Journal für die reine und angewandte Mathematik (Crelle's Journal).
  9. Iterated Coleman integration for hyperelliptic curves, to appear in Algorithmic Number Theory (ANTS-X), 2012.
  10. Computing local p-adic height pairings on hyperelliptic curves (with Amnon Besser), International Mathematics Research Notices (2012) 2012 (11): 2405-2444.
  11. Appendix and erratum to Minhyong Kim, "Massey products for elliptic curves of rank 1" (with Kiran Kedlaya, Minhyong Kim), Journal of the American Mathematical Society 24 (2011), 281-291.
  12. Pairings on hyperelliptic curves (with Juliana Belding, Sarah Chisholm, Kirsten Eisentraeger, Katherine Stange, Edlyn Teske), WIN - Women in Numbers, Fields Inst. Comm., vol 60, AMS, 2011, 87-120.
  13. Explicit Coleman integration for hyperelliptic curves (with Robert Bradshaw, Kiran Kedlaya), Algorithmic Number Theory (ANTS-IX), Lecture Notes in Computer Science 6197, Springer-Verlag, 2010, 16-31.
  14. CM constructions for elliptic curves, Harvard senior thesis (2006).

Links

Sage Days 50: Women in Sage (4), July 10 - 15, 2013 in Seattle, co-organized with Aly Deines
Sage Days 46: Computational number theory, February 26 - March 2, 2013 in Honolulu, co-organized with Aly Deines, Xander Faber, Michelle Manes, and William Stein
Arithmetic statistics, January 10, 2013 at the Joint Mathematics Meetings in San Diego, co-organized with Kevin McGown and Ethan Smith
Sage Days 42: Women in Sage (3), July 15-19, 2012 in Seattle, co-organized with Aly Deines and Lola Thompson
Rational points on varieties, January 5-6, 2012 at the Joint Mathematics Meetings in Boston, co-organized with Bjorn Poonen, Bianca Viray, and Kirsten Wickelgren
Sage Days 33: Women in Sage (2), September 19-23, 2011 in Seattle, co-organized with Aly Deines and William Stein

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