Yu-Ru Liu

Contact information

Department of Pure Mathematics

University of Waterloo
Waterloo, Ontario, Canada
N2L 3G1

Office room number: Mathematics & Computer (MC) 5316
Office telephone number: 519-888-4567 ext. 35698
Email: yrliu@uwaterloo.ca

Curriculum Vitae

Degrees

Year	Qualification	Degree	School
2003	PhD	Mathematics	Harvard University (Supervisor: Barry Mazur)
1998	MS	Mathematics	Queen's University (Supervisor: Ram Murty)
1998	BA	Mathematics	McGill University

Academic career history

Dates	Position	Department	Insitution
2013-present	Professor	Pure Mathematics	University of Waterloo
2008-2013	Associate Professor	Pure Mathematics	University of Waterloo
Winter 2007	Visiting Scholar	Pure Mathematics	University of Michigan
Winter 2005	Visiting Scholar	Pure Mathematics	University of Michigan
2003-2008	Assistant Professor	Pure Mathematics	University of Waterloo

Awards

Distinction in Teaching Award, Faculty of Mathematics, University of Waterloo, 2013
Outstanding Performance Award, University of Waterloo, 2012
Instructor of the Year, Mathematical Society at University of Waterloo, 2011
CMS G. de B. Robinson Award, 2005
NSERC University Faculty Award, 2003-2008
Harvard Distinction in Teaching Award, 2001 &2002
NSERC PGS B, 2001-2003
NSERC PGS A, 1998-2000

Publications

W. Kuo, Y.-R. Liu and X. Zhao, Multidimensional Vinogradov-type estimates in function fields, Canad. J. Math 66 (2014), 844-873.
T. H. Le and Y.-R. Liu, On sets of polynomials whose difference set contain no squares, Acta. Arith. 161 (2013), 127-143.
Y.-R. Liu and X. Zhao, A generalization of Roth’s theorem in function fields, Michigan Math. J. 61 (2012), 839-866.
Y.-R. Liu, C. V. Spencer and X. Zhao, A generalization of Meshulam’s theorem on subsets of finite abelian groups with no 3-term arithmetic progression (II), European J. of Combin. 32 (2011), 258-264.
Y.-R. Liu and T. D. Wooley, Waring’s problem in function fields, J. Reine Angew. Math., 638 (2010), 1-67.
Y.-R. Liu, C. V. Spencer and X. Zhao, Roth’s theorem on system of linear forms in function fields, Acta. Arith., 142 (2010), 377-386.
W. Kuo and Y.-R. Liu, Gaussian laws on Drinfeld modules, Int. J. Number Theory 7 (2009), 1179–1203.
W. Kuo and Y.-R. Liu, Cyclicity of finite Drinfeld modules, J. London Math. Soc. 80 (2009), 567-584.
W. Kuo and Y.-R. Liu, A Carlitz module analogue of a conjecture of Erd ̋os and Pomerance, Trans. Amer. Math. Soc. 361 (2009), 4519-4539.
Y.-R. Liu and C. V. Spencer, A generalization of Roth’s theorem in function fields, Int. J. Number Theory 7 (2009), 1149-1154.
Y.-R Liu and C. V. Spencer, A generalization of Meshulam’s theorem on subsets of finite abelian groups with no 3-term arithmetic progression, Des. Codes Cryptogr. 52 (2009), 83- 91.
W. Kuo and Y.-R. Liu, The Erdo ̋s-Kac theorem and its generalizations, The anatomy of integers, CRM Proceedings & Lecture Notes 46 (2008), 209-216.
Y.-R. Liu and T. D. Wooley, The unrestricted variant of Waring’s problem in function fields, Funct. Approx. Comment. Math. 37 (2007), 285-292.
Y.-R. Liu, Prime analogues of the Erd ̋os-Kac theorem for elliptic curves, J. Number Theory 119 (2006), 155-170.
Y.-R. Liu and M. R. Murty, A weighted Tur ́an sieve method, J. Number Theory 116 (2006), 1-20.
Y.-R. Liu, A prime analogue of Erd ̋os-Pomerance’s conjecture for elliptic curves, Comment. Math. Helv. 80 (2005), 755-769.
Y.-R. Liu, Prime divisors of the number of rational points on elliptic curves with complex multiplication, Bull. London Math. Soc. 37 (2005), 658-664.
Y.-R. Liu and M. R. Murty, Sieve methods in combinatorics, J. Combin. Theory Ser. A 111 (2005), 1-23.
Y.-R. Liu, A generalization of the Erdo ̋s-Kac theorem and its applications, Canad. Math. Bull. 47 (2004), 589-606.
Y.-R. Liu, A generalization of the Tur ́an theorem and its applications, Canad. Math. Bull. 47 (2004), 573-588.
Y.-R. Liu, The Erd ̋os theorem and the Halberstam theorem in function fields, Acta Arith. 114 (2004), 323-330.
Y.-R. Liu and M. R. Murty, The Tura ́n sieve method and some of its applications, J. Ra- manujan Math. Soc. 14 (1999), 21-35.

Scholarly and Professional Activities

Member, Scientific Committee, CMS Meeting, Montreal, December 2015
Editor, Taiwan Journal of Mathematics (since July 2014)
Local committee member, Two Weeks at Waterloo – a Summer School for Women in Math- ematics, University of Waterloo, August 2012
Co-organizer, Canadian Number Theory Association Meeting X, University of Waterloo, July 2008
Co-organizer, L-functions and Algebraic Curves Session, CMS Meeting, University of Water- loo, June 2005
Co-organizer, Workshop in Number Theory and Random Matrix Theory, University of Wa- terloo, June 2005
Lifetime member of Canadian Mathematics Society
Regular contributor to Math. Reviews
Reviewer of grant proposals for National Security Agency
Referee of various mathematical journals

Graduate supervision

PhD

John Sanders (in progress)
Shuntaro Yamagishi (in progess)
Xiaomei Zhao (Assistant Professor at Central China University)

MMath

Cassie Naymie (2012)
Yui Nishizawa (2011)
Leo Kwong (2010)
Patrice Camire (2008)
Lalit Jain (2008)
Sourev San Gupta (2008)
Li Li (2007)

Undergraduate

Chao Hsian Lin (2013)
Liyu Wnad (2013)
Alexander Mangeral (2011-2012)
Peter Sinclair (2011)
Cassie Naymie (2010)
Yui Nishizawa (2010)
Krishna Sivaranjan (2010)
Cyril Becker (2009-2010)
Brad Hannigan-Daley (2008)
Jennifer Parl (2008)
Pei Pei (2008)
David Rhee (2008)
Michael Lipnowski (2007-2008)
Llyod Elliot (2007)
Daniel Rowe (2007)
Michael Sgambelluri (2007)
Lalit Jain (2006)
Xiannan Li (2006)
Eugene Eisenstein (2005-2006)
Adam Felix (2005-2006)