Chan Ieong Kuan

Office: Neville Hall 322
Office Hours: MW 2-3 at Neville 322, T 3-4 at MathLab, and by appointment
My email address is cikuan[at]math[dot]umaine[dot]edu

Teaching

Spring 2016: MAT 127 sections 0004, 0005
Fall 2015: MAT 127 sections 0002, 0004
Spring 2015: MAT 465, MAT 115 S0001,S0002
Fall 2014: MAT 126 sections 0501, 0502

Research

My thesis is on hybrid bounds of L-functions associated to holomorphic cusp forms, advised by Jeffrey Hoffstein. My research up to now has been about automorphic forms, their associated L-functions and shifted convolution sums.

Papers

1.


The Sign of Fourier Coefficients of Half-Integral Weight Cusp Forms
joint with T. Hulse, E.M. Kıral, L. Lim
International Journal of Number Theory, vol. 8, no. 3(2012):pp. 749-762
arXiv

2.

Counting Square Discriminants
joint with T. Hulse, E.M. Kıral, L. Lim
Journal of Number Theory, vol. 162(2016): pp. 255-274
arXiv

3.


Hybrid Bounds on Twisted L-Functions Associated to Modular Forms
(an early version, update in progress)
arXiv
4.


The Second Moment of Sums of Coefficients of Cusp Forms
joint with T. Hulse, D. Lowry-Duda, A. Walker
Submitted.
arXiv
5.


Short-Interval Averages of Sums of Fourier Coefficients of Cusp Forms
joint with T. Hulse, D. Lowry-Duda, A. Walker
Submitted.
arXiv
6.


Sign Changes of Coefficients and Sums of Coefficients of L-Functions
joint with T. Hulse, D. Lowry-Duda, A. Walker
Submitted.
arXiv

A little about me

I am a 2-year assistant professor at University of Maine. For this semester, I am teaching two sections of MAT 127, Calculus II.

I am born in Macau, China. Macau is a city that is very close to Hong Kong, and had been a Portugal colony before Dec 20, 1999. I speak Cantonese most comfortably (we use traditional Chinese characters), with English being the next one.

My first two undergraduate years was done in a community college in Santa Monica, California. I transferred to UC Berkeley after that, and finished a double major of Maths and CS. Then I went on to Brown University, and obtained my Ph.D. in May 2014.


Last updated: June 17, 2016
A fun little something

If I were a Springer-Verlag Graduate Text in Mathematics, I would be David Eisenbud's Commutative Algebra with a view towards Algebraic Geometry.

I am an attempt to write on commutative algebra in a way that includes the geometric ideas that played a great role in its formation; with a view, in short, towards Algebraic Geometry. I cover the material that graduate students studying Algebraic Geometry - and in particular those studying the book Algebraic Geometry by Robin Hartshorne - should know. The reader should have had one year of basic graduate algebra.

Which Springer GTM would you be? The Springer GTM Test