James Parks

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

Email: jparks@kth.se

Curriculum Vitae
Research Statement

About

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

(with A. Akbary) On the Lang-Trotter Conjecture for two elliptic curves. (in preparation)
An asymptotic for the average number of amicable pairs with an appendix by Sumit Giri . preprint, arxiv:1410.5888.
(with D. Fiorilli and A. Södergren) Low-lying zeros of quadratic Dirichlet L-functions. Compos. Math., to appear.
(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.
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.
Amicable pairs and aliquot cycles on average. Int. J. Number Theory 11 (2015), no. 6, 1751--1790.
(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.

Teaching

Instructor, Advanced Number Theory (MATH 4461), University of Lethbridge, Winter 2015
Instructor, Calculus IV (MATH 2580), University of Lethbridge, Fall 2014
Teaching Assistant, Mathematical Concepts (MATH 2000), University of Lethbridge, Winter 2014
Teaching Assistant, Calculus II (MATH 2560), University of Lethbridge, Winter 2014
Teaching Assistant, Calculus I (MATH 1560), University of Lethbridge, Fall 2013
Instructor, Elementary Functions (MATH 201), Concordia University, Fall, Winter 2012
Instructor, Algebra and Functions (MATH 206), Concordia University Summer, Winter 2010

Links

Number Theory Web
Linkedin