Fan Zhou - Mathematics&Statistics - University of Maine

Fan Zhou

University of Maine
Mathematics and Statistics

Email: fan.zhou [at] maine.edu
Office: Neville Hall 323

My research concentrates on number theory, in particular, automorphic form, L-functions, the Langlands program, and some aspect of analytic number theory. Some of my recent work involves studying Maass cusp forms on GL(n) and their L-functions.

Curriculum Vitae


Publications and Preprints

"Plancherel distribution of Satake parameters of Maass cusp forms on GL3."
(with Jack Buttcane)
arXiv preprint arXiv:1611.01253 (2016).

"The balanced Voronoi formulas for GL(n)."
(with Stephen D. Miller)
International Mathematics Research Notices, accepted in 2017.

"On the Hecke eigenvalues of Maass forms."
(with Wenzhi Luo)
American Journal of Mathematics, accepted in 2017.

"The Voronoi formula and double Dirichlet series."
(with Eren Mehmet Kıral)
Algebra&Number Theory 10-10 (2016), 2267--2286.

"Voronoi summation formulae on GL(n)."
Journal of Number Theory 162 (2016): 483-495.

"Weighted Sato-Tate vertical distribution of the Satake parameters of Maass forms on PGL(N)."
The Ramanujan Journal 35, no. 3 (2014): 405-425.

"Sato-Tate problem for GL(3)."
Doctoral Dissertation, Columbia University, 2013.

"Airliner boarding and deplaning strategy."
(with Linbo Zhao and Guozhen Wang)
Undergrad. Math. Appl. 28 (2007): 405-420.


Teaching

  • Fall 2017: Calculus I, Instructor, University of Maine
  • Fall 2017: Abstract Algebra (graduate course), Instructor, University of Maine
  • Spring 2016: Calculus I, Instructor, University of Maine
  • Spring 2016: Calculus I, Instructor, University of Maine
  • Fall 2016: Calculus I, Instructor, University of Maine
  • Fall 2016: Calculus I, Instructor, University of Maine
  • Spring 2016: Abstract Algebra II, Instructor, Ohio State University
  • Spring 2016: Abstract Algebra II, Instructor, Ohio State University
  • Fall 2015: Linear Algebra, Instructor, Ohio State University
  • Spring 2015: Abstract Algebra II, Instructor, Ohio State University
  • Spring 2015: Abstract Algebra II, Instructor, Ohio State University
  • Fall 2014: Linear Algebra, Instructor, Ohio State University
  • Spring 2014: Elementary Number Theory, Instructor, Ohio State University
  • Fall 2013: Abstract Algebra I, Instructor, Ohio State University
  • Fall 2013: Abstract Algebra I, Instructor, Ohio State University
  • Summer 2012: Calculus III, Instructor, Columbia University
  • Fall 2011: Calculus I, Instructor, Columbia University