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

- Sabbatical, Kansas State University, Fall 2015
*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 T. Cochrane and M. Long)
*Small solutions of diagonal congruences*, 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 Y.-R. Liu)
*A prime analogue of Roth's theorem in function fields*, accepted by Conference Proceedings of CNTA XIII. - (with T. Cochrane, R. M. S. Dissanayake, N. Donohoue [
*I-Center Undergraduate Scholar*], M. I. M. Ishak, V. Pigno, and C. Pinner)*Minimal Mahler Measure of Real Quadradic Extensions*, accepted by Exper. Math. - (with T. Cochrane and H.-S. Yang [
*SUMaR REU Student*])*Rational linear spaces on hypersurfaces over quasi-algebraically closed fields*, Rocky Mountain J. Math.**44**(2014), 1805-1816. - (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*, Discrepancy Theory, ICERM, October 27, 2014*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 American Mathematical Monthly, Bulletin of the London Mathematical Society, Finite Fields and Their Applications, Graphs and Combinatorics, Involve, Latin-American Conference on Communications, Michigan Mathematical Journal (2), Open Mathematics Journal, Portugaliae Mathematica, and Proceedings of the London Mathematical Society
- 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, Brian Benson, 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, Kansas State University
- M.S. Committee Member for Ashok Aryal, 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 Four 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