CRAIG V. SPENCER

Department of Mathematics

Kansas State University

138 Cardwell Hall

Manhattan, KS 66506

http://www.math.ksu.edu/~cvs/

cvs@math.ksu.edu

- Analytic Number Theory
- Arithmetic Geometry
- Arithmetic Combinatorics
- Hardy-Littlewood Circle Method
- Diophantine Equations and Inequalities
- Exponential Sums
- Compressed Sensing
- Discrepancy Theory
- Mathematics Education

- University of Michigan
- Ph.D. in Mathematics, August 2008
- Thesis:
*Analytic methods for Diophantine problems* - Advisors: Trevor Wooley and Donald Lewis
- M.S. in Mathematics, August 2005
- Carleton College
- B.A. in Mathematics (Summa Cum Laude, Distinction in Major), June 2003

- Director of the Center for Quantitative Education, Kansas State University, July 2013 - Present
- Associate Professor, Kansas State University, January 2013 - Present
- Assistant Professor, Kansas State University, August 2008 - January 2013
- Member, Institute for Advanced Study, September 2008 - July 2009
- Postdoctoral Fellow, Mathematical Sciences Research Institute, August 2008 - September 2008
- Visiting Researcher, University of Waterloo, May 2008 - August 2008
- Graduate Student Instructor and Research Assistant, University of Michigan, September 2003 - May 2008
- Program Assistant, San Antonio Prefreshman Engineering Program, June 2003 - July 2003
- Math Tutor, Grader, and Lab Assistant, Carleton College, March 2000 - June 2003
- Undergraduate Researcher, United States Government, June 2002 - August 2002
- Undergraduate Researcher, Louisiana State University, June 2001 - July 2001

*Applications of Harmonic Analysis to Diophantine Problems and Discrepancy Theory*, NSA Young Investigator Grant #H98230-14-1-0164, $40,000, June 2014 - June 2016*The Circle Method and Diophantine Problems*, NSA Young Investigator Grant #H98230-12-1-0220, $39,997, March 2012 - March 2014*Circle Method Approaches to Arithmetic Geometry, Diophantine Inequalities, and Additive Combinatorics*, NSA Young Investigator Grant #H98230-10-1-0155, $29,516, February 2010 - February 2012- Graduate Teacher Certificate, University of Michigan, April 2008
- Rackham One-Term Dissertation Fellowship, University of Michigan, Winter 2008
- Michigan Teaching Fellow, University of Michigan, May 2007
- Mathematics Research Assistantship Fellowship, University of Michigan, Winter 2006
- NSF VIGRE Fellowship, University of Michigan, September 2003 - August 2005
- Admitted to Sigma Xi, Carleton College, January 2003
- One of Two Juniors Admitted to Phi Beta Kappa, Carleton College, May 2002
- Frank E. Stinchfield Prize (Highest Annual GPA), Carleton College, September 2002
- Phi Beta Kappa Second-Year Student Prize (Highest Annual GPA), Carleton College, September 2001

- (with Y.-R. Liu)
*A prime analogue of Roth's theorem in function fields*, submitted. - (with D. Bilyk, X. Ma, and J. Pipher)
*Diophantine approximations and directional discrepancy of rotated lattices*, accepted by Trans. Amer. Math. Soc. - (with T. H. Lê)
*Intersective polynomials and Diophantine approximation, II*, accepted by Monatsh. Math. - (with T. Cochrane and H.-S. Yang [
*SUMaR REU Student*])*Rational linear spaces on hypersurfaces over quasi-algebraically closed fields*, accepted by Rocky Mountain J. Math. - (with T. Cochrane, D. Hart, and C. Pinner)
*Waring's problem for large subgroups of*, Acta Arith.**Z**_{p}^{*}**163**(2014), 309-325. - (with T. H. Lê)
*Intersective polynomials and Diophantine approximation*, Int. Math. Res. Not.**2014**(2014), 1153-1173. - (with R. Ji [
*SUMaR REU Student*])*On subsets of finite Abelian groups without non-trivial solutions of x*, Notes Number Theory Discrete Math._{1}+ x_{2}+ ··· + x_{s}- s x_{s+1}=0**19**(2013), 55-59. - (with C. J. Richardson [
*SUMaR REU Student*])*A note on sumsets and difference sets in*, Notes Number Theory Discrete Math.**Z**/n**Z****18**(2012), 45-47. - (with T. D. Wooley)
*Diophantine inequalities and quasi-algebraically closed fields*, Israel J. Math.**191**(2012), 721-738. - (with J. Bailey [
*I-Center Undergraduate Scholar and McNair Scholar*] and M. A. Iwen)*On the Design of Deterministic Matrices for Fast Recovery of Fourier Compressible Functions*, SIAM J. Matrix Anal. Appl.**33**(2012), 263-289. - (with D. Bilyk, X. Ma, and J. Pipher)
*Directional discrepancy in two dimensions*, B. Lond. Math. Soc.**43**(2011), 1151-1166. - (with T. H. Lê)
*Difference sets and the irreducibles in function fields*, B. Lond. Math. Soc.**43**(2011), 347-358. - (with Y.-R. Liu and X. Zhao)
*A generalization of Meshulam's theorem on subsets of finite abelian groups with no 3-term arithmetic progression (II)*, European J. Combin.**32**(2011), 258-264. - (with Y.-R. Liu and X. Zhao)
*Roth's theorem on systems of linear forms in function fields*, Acta Arith.**142**(2010), 377-386. - (with Y.-R. Liu)
*A generalization of Roth's theorem in function fields*, Int. J. Number Theory**5**(2009), 1149-1154. *Diophantine inequalities in function fields*, B. Lond. Math. Soc.**41**(2009), 341-353.*The Manin conjecture for x*, J. Number Theory_{0}y_{0}+ ··· + x_{s}y_{s}= 0**129**(2009), 1505-1521.- (with M. A. Iwen)
*A note on compressed sensing and the complexity of matrix multiplication*, Inform. Process. Lett.**109**(2009), 468-471. - (with Y.-R. Liu)
*A generalization of Meshulam's Theorem on subsets of finite abelian groups with no 3-term arithmetic progression*, Design. Code. Cryptogr.**52**(2009), 83-91. *Diophantine inequalities in function fields*, Oberwolfach Reports**5**(2008), 731-732.- (with M. A. Iwen)
*Improved bounds for a deterministic sublinear-time sparse Fourier algorithm*, Proc. of Conference on Information Sciences and Systems (2008), 458-463. *Analytic methods for Diophantine problems*, Ph.D. Thesis, University of Michigan, 2008.

*Directional Discrepancy*, Dartmouth College Mathematics Colloquium, May 17, 2012*Diophantine inequalities in function fields*, Dartmouth College Number Theory Seminar, May 17, 2012*Additive combinatorics in function fields*, Special Session on Function Fields and Their Applications, AMS Fall Eastern Section Meeting, Penn State University, October 25, 2009*The Manin conjecture for x*, Special Session on Analytic Number Theory, AMS Fall Eastern Section Meeting, Penn State University, October 24, 2009_{0}y_{0}+ ··· + x_{s}y_{s}= 0*Roth's theorem in function fields*, Combinatorial and Additive Number Theory, City University of New York Graduate Center, May 28, 2009*The circle method in function fields*, Institute for Advanced Study/Princeton University Number Theory Seminar, May 14, 2009*The circle method*, Institute for Advanced Study Theoretical Computer Science/Discrete Mathematics Seminar, May 12, 2009*The circle method in function fields*, New York Number Theory Seminar, October 23, 2008*The circle method in function fields*, Johns Hopkins University Algebraic Geometry/Number Theory Seminar, October 21, 2008*Quasi-algebraically closed fields*, University of Waterloo Student Number Theory Seminar, July 29, 2008*Diophantine inequalities*, University of Bristol Heilbronn Seminar, March 19, 2008*Diophantine inequalities in function fields*, Analytic Number Theory, Mathematisches Forschungsinstitut Oberwolfach, March 11, 2008*Diophantine inequalities*, Kansas State University Mathematics Colloquium, January 29, 2008

- Referee for the American Mathematical Monthly, the Bulletin of the London Mathematical Society, Finite Fields and Their Applications, Graphs and Combinatorics, Involve, the Michigan Mathematical Journal (2), the Open Mathematics Journal, and Portugaliae Mathematica
- Ph.D. Comprehensive Examination Committee Member for Xiaomei Zhao, University of Waterloo, August 12, 2008
- Math Tutor, Neutral Zone Teen Center, January 2007 - January 2008

- Postdoctoral Advisor for Cheryl Balm and Jonathan Brown, Kansas State University
- Ph.D. Advisor for Misty Long (Co-Advised with Todd Cochrane), Kansas State University
- Ph.D. Committee Member for Ala' Jamil Alnaser, Badria Alsulmi, Charlene Atkins (Curriculum and Instruction), Dilum DeSilva, Muhammad Farooq (Physics), and Vincent Pigno, Kansas State University
- M.S. Advisor for John Abou-Rached and Ian Manly, Kansas State University
- M.S. Committee Member for James Bailey (Operations Research), Jason Clemens, Tommy Morrison (Operations Research), and Jeffrey Pavelka (Operations Research), Kansas State University
- Undergraduate Research Advisor for James Bailey, Ran Ji, Christopher Richardson, Jonathan Stacks, and Hee-Sung Yang, Kansas State University
- Undergraduate Academic Advisor, Temporary Graduate Advisor, and Graduate Teaching Advisor for Numerous Students, Kansas State University
- Member of the Calculus Textbook Committee, the S. T. Parker Mathematical Competition Committee, the Kansas Collegiate Mathematics Competition Committee, and Three Hiring Committees, Kansas State University
- Instructor for Girls Researching Our World (GROW), Kansas State University, June 2011
- Organizer of the Student Arithmetic Seminar, University of Michigan, September 2006 - April 2008
- Student Departmental Advisor, Carleton College, May 2002 - June 2003