Erick B. Wong

About
I am a Ph.D. candidate at the University of British Columbia under the direction of Dr. Greg Martin, planning to complete in April 2012. A complete list of my academic travels can be found in my CV.

Teaching
This Spring 2012 term I am teaching Math 105, Section 211.

Research
I'm primarily interested in analytic number theory of a combinatorial flavour. In particular, my thesis focuses on applying the powerful methods of Green and Tao to count arithmetic progressions in the sums of two squares (and other sets of number-theoretic interest). I have also done some work in Diophantine approximation and, more recently, random integer matrices. See my research statement for more details.

Below are preprint versions of most of my papers:

• Runs and gaps in integers of the form x²+ky², with Moshe Rosenfeld, in preparation.
• Arithmetic progressions of sums of two squares, in preparation.
• Basis reduction and the complexity of branch-and-bound, with Gábor Pataki and Mustafa Tural, Proceedings of the Twenty-First Annual ACM-SIAM Symposium on Discrete Algorithms (January 2010), ed. Moses Charikar, 1254–1261.
• Almost all integer matrices have no integer eigenvalues, with Greg Martin, Amer. Math. Monthly 116 (2009), no. 7, 588–597.
• The number of 2 × 2 integer matrices having a prescribed integer eigenvalue, with Greg Martin, Algebra & Number Theory 2 (2008), no. 8, 979–1000.
• Simultaneous approximation of reals by values of arithmetic functions, Anatomy of Integers (proceedings of CRM Workshop on Anatomy of Integers, March 2006), ed. Jean-Marie De Koninck, Andrew Granville, and Florian Luca, CRM Proceedings & Lecture Notes 46 (2008), 289–297.
• Tight instances of the Lonely Runner, with Luis Goddyn, INTEGERS: Elec. J. Comb. Num. Theory 6 (2006), #A38, 14pp (electronic).
• A survey of results relating to Giuga's conjecture on primality, with Jonathan M. Borwein, Advances in Mathematical Sciences: CRM's 25 Years (proceedings of the 25th Anniversary Conference of the Centre de Recherches Mathématiques, 1994), ed. Luc Vinet, CRM Proceedings & Lecture Notes 11 (1997), 13–27.