Kit Ho Mak (麥傑豪) Department of Mathematics University of Illinois at Urbana-Champaign 273 Altgeld Hall, MC-382 1409 W Green Street Urbana, Illinois 61801-2975 Email: mak4 AT illinois DOT edu Office: 165 Altgeld Hall
	I have a nickname called McNuggets, and the above picture shows a species of it.

About Me:
I am a fourth year PhD student and a teaching assistant in the department of Mathematics at UIUC.
My home town is Hong Kong, a crowded but beautiful city.
Before I come here, I finished my undergraduate and master degree in Mathematics at The Chinese University of Hong Kong (CUHK).
In my free time (if I still have it), I enjoy running, playing soccer, card games, TV games, etc. There does exist one thing that I insist doing no matter how busy I am, and this is cooking.

Starting from Fall 2012, I will be a postdoctoral fellow at the Georgia Institute of Technology. My mentor there will be Doug Ulmer.

Research Interests:
My current research interests are algebraic geometry, algebraic number theory and analytic number theory, though I should say I am more algebraic in flavor. More precisely, I am cuurently working on problems about curves with many points over finite fields, various kinds of distributional problems in number theory, and some other things.
My advisor is Prof. Iwan Duursma, but I also work with Prof. Alexandru Zaharescu extensively.

Publications and Preprints:

1. Kit-Ho Mak and Alexandru Zaharescu, Poisson type phenomena for points on hyperelliptic curves modulo p, accepted for publication in Funct. Approx. Comment. Math. Preprint available on arXiv.
2. Kit-Ho Mak and Alexandru Zaharescu, The distribution of values of short hybrid exponential sums on curves over finite fields, Math. Res. Lett. 18 (2011), no. 01, 155–174. pdf
3. Iwan Duursma and Kit-Ho Mak, On maximal curves which are not Galois subcovers of the Hermitian curve, To appear in Bull. Braz. Math. Soc. (N.S.). Preprint available on arXiv.
4. Iwan Duursma and Kit-Ho Mak, On lower bounds for the Ihara constants A(2) and A(3), submitted. Preprint available on arXiv.
5. Kit-Ho Mak and Alexandru Zaharescu, Lehmer points and visible points on affine varieties over finite fields, submitted. Preprint available on arXiv.
6. Kit-Ho Mak and Alexandru Zaharescu, On the distribution of the number of points on a family of curves over finite fields, submitted. Preprint available on arXiv.
7. Kit-Ho Mak, An Analogue of the Ducci sequences over function fields, submitted.
8. Kit-Ho Mak and Maosheng Xiong, Distribution of Selmer groups of quadratic twists of a family of elliptic curves, II (tentative), in preparation.

Teaching:

MATH 124 Finite Mathematics section C1 (8am) and section P1 (2pm). Please click here for the course website.

I am in the "list of teachers ranked as excellent by their students" for:
Fall 2009, Fall 2010

Besides those teaching experiences listed above, I also served as an EPYMT (a summer program for high school math talents in Hong Kong) TA for 9 years, and was the Head TA for 2 years.

Useful Links:
Department of Mathematics, UIUC
Department of Mathematics, CUHK
Number Theory Web
ArXiv 
        ArXiv.NT
        ArXiv.AG
Course notes by J. S. Milne
The Mathematics Genealogy Project