Jerry's webpage

Xiaoheng Jerry Wang

Department of Pure Mathematics
University of Waterloo
Waterloo, Ontario, Canada, N2L 3G1

Office: MC 5338
Tel: 519-888-4567, ext. 35557

Office hours for Fall 2023:
Wednesday 1:00pm - 3:00pm


The tentative schedule for some of the mathematics contests written by University of Waterloo students is given below. For more information about a contest, or to see some sample problems from previous years, click on one of the links.

  Small c     Mon Sep 25, 2023     6:00 pm - 7:00 pm     TBA  
  Big E, Special K              
  Putnam     Sat Dec 2, 2023     10:00 am - 6:00 pm     M3 1006  
  Bernoulli Trials     Sat Mar 9, 2024     10:00 am - 1:00 pm     MC 1085  

Recreational problem solving sessions are usually held each fall. For more information, click on the link below.

Recreational Problem Sessions


Squarefree values of polynomial discriminants II.
With Manjul Bhargava and Arul Shankar. [pdf]

An improvement on Schmid's bound on the number of number fields of bounded discriminant and small degree.
Forum of Mathematics, Sigma 10, (2022), e86. With Manjul Bhargava and Arul Shankar. [pdf]

On the squarefree values of a^4+b^3.
Mathematische Annalen. With Gian Cordana Sanjaya. [pdf]

Squarefree values of polynomial discriminants I.
Inventiones Mathematicae 228 (2022), no. 3, 1037-1073. With Manjul Bhargava and Arul Shankar. [pdf]

Large families of elliptic curves ordered by conductor.
Compositio Mathematica 157 (2021), 1538-1583. With Ananth Shankar and Arul Shankar. [pdf]

Geometry-of-numbers methods over global fields I: Prehomogeneous vector spaces.
With Manjul Bhargava and Arul Shankar. [pdf]

Maximal linear spaces contained in the base loci of pencils of quadrics.
Algebraic Geometry 5 (2018), no.3, 359-397. [pdf]

Rational points on hyperelliptic curves having a marked non-Weierstrass point.
Compositio Mathematica 154 (2018), no.1, 188-222. With Arul Shankar. [pdf]

A positive proportion of locally soluble hyperelliptic curves over Q have no point over any odd degree extension.
Journal of the American Mathematical Society 30 (2017), no.2, 451-493. With Manjul Bhargava and Benedict Gross and an appendix by Tim Dokchitser and Vladimir Dokchitser. [pdf]

Arithmetic invariant theory II: Pure inner forms and obstructions to the existence of orbits.
Representations of reductive groups, 139-171, Progress in Mathematics, 312, Birkhauser/Springer, Cham, 2015. With Manjul Bhargava and Benedict Gross. [pdf]

Laws of composition and arithmetic statistics: from Gauss to Bhargava.
The Mathematics Student 84 (2015), no.3-4, 159-171. With Arul Shankar. [pdf]

Pencils of quadrics and Jacobians of hyperelliptic curves.
Ph.D. thesis Harvard University. [pdf]

Extensions of Atanassov's methods for Halton sequences.
Monte Carlo and Quasi-Monte Carlo Methods 2010, Springer, 2012, 345-362. With Henri Faure and Christiane Lemieux. [Book pdf]