James Parks

Department of Mathematics
KTH Royal Institute of Technology
Lindstedtsvägen 25
SE-100 44 Stockholm

Email: jparks@kth.se

Curriculum Vitae
Research Statement



I am a Postodoctoral Research in the Department of Mathematics at KTH Royal Institute of Technology.
My research interests lie in the field of analytic number theory.

Research Publications
  1. (with A. Akbary) On the Lang-Trotter Conjecture for two elliptic curves. (in preparation)
  2. An asymptotic for the average number of amicable pairs with an appendix by Sumit Giri . preprint, arxiv:1410.5888.
  3. (with D. Fiorilli and A. Södergren) Low-lying zeros of quadratic Dirichlet L-functions. Compos. Math., to appear.
  4. (with D. Fiorilli and A. Södergren) Low-lying zeros of elliptic curve L-functions: Beyond the ratios conjecture. Math. Proc. Cambridge Philos. Soc. 160 (2016), no. 2, 315--351.
  5. A remark on elliptic curves with a given number of points over finite fields. SCHOLAR-a scientific celebration highlighting open lines of arithmetic research, 165--179, Contemp. Math., 655, Amer. Math. Soc., Providence, RI, 2015.
  6. Amicable pairs and aliquot cycles on average. Int. J. Number Theory 11 (2015), no. 6, 1751--1790.
  7. (with C. David and D.K. Huynh) One-level density of families of elliptic curves and the Ratios Conjectures. Res. Number Theory 1 (2015), 1:6.



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