Yichao
Zhang
Contact Information
Office:
Math Building 710
Phone:
(520) 621-4838
Email:
yichaozhang AT math DOT arizona DOT edu
Address:
Department
of Mathematics
The University of Arizona
617 N. Santa Rita Ave
Tucson, AZ 85721-0089 USA
Curriculum Vitae
Curriculum Vitae
Education
Ph.D. in Mathematics, University of Toronto, 2010
Teaching
Calculus I (Math 125: Section
005 and Section 010)
Research
Interests
Number theory and related fields
Publications and Preprints
-
Divisibility properties of weakly holomorphic modular forms with sign vectors,
submitted (2015)
-
Weakly holomorphic modular forms and rank 2 hyperbolic Kac-Moody
algebras,
To appear in Transactions of Transactions of the American Mathematical
Society, arXiv: 1309.5095, 2013. (With Henry H. Kim and Kyu-Hwan Lee)
-
Newforms of level 4 and
of trivial character,
To appear in Communications of the Korean Mathematical Society, arXiv:
1308.3417, 2014.
-
Zagier duality and
integrality of Fourier coefficients for weakly
holomorphic modular forms,
Preprint, arXiv: 1308.1037, 2013.
-
An isomorphism between
scalar-valued modular forms and modular
forms for Weil representations,
To appear in Ramanujan Journal, arXiv: 1307.4390, 2014.
-
Weyl group multiple
Dirichlet series for symmetrizable Kac-Moody
root systems,
To appear in Transactions of the American Mathematical Society, 2014.
(With Kyu-Hwan Lee)
-
Divisor functions over
quaternion algebras and a type of
identities,
Functiones et Approximatio, 46.2 (2012), 235-260.
-
Determining modular
forms of general level by central values of
convolution L-functions,
Acta Arithmetica, 150 (2011), 93-103.
-
L-functions in number
theory,
Doctorate thesis, University of Toronto, 2010. Advisor: Henry H. Kim.
-
Divisor function for
quaternion algebras and application to
fourth moments of L-functions,
Journal of Number Theory 129 (2009), no.12, 3000-3019.
(With Henry H. Kim)