Gretchen L. Matthews
Associate Professor
Department of Mathematical Sciences
College of Engineering and Science
Clemson University
Clemson, SC  29634-0975
email:  gmatthe@clemson.edu

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Professional positions
Associate Professor, Department of Mathematical Sciences, Clemson University, 2007-
Assistant Professor, Department of Mathematical Sciences, Clemson University, 2001-2007
Visiting Assistant Professor/Postdoctoral position in Algebra, Department of Mathematics, University of Tennessee, 1999-2001
Instructor, Department of Mathematics, Louisiana State University, 1998-1999

Education
Ph.D., Louisiana State University, 1999, Mathematics
M.S., Louisiana State University, 1997, Mathematics
B.S., Oklahoma State University, 1995, Mathematics

Research interests:  Algebraic geometry and applications, especially coding theory

Grant support
Single investigator awards:
2009-2012:  NSF, Algebraic analysis of parity check codes and iterative decoding, PI, $120,000.
2007-2009:  NSA, Codes from algebraic geometry:  constructions and algorithms for implementation, PI, $30,000.
2006-2008:  NSA, Algebraic geometry codes and related structures, PI, $30,000.
2002-2006:  NSF, Applications of semigroups to algebraic geometry codes, PI, $104,837.
2002-2003:  ORAU, Semigroups and error-correcting codes, PI, $5000.

Additional awards:
2007-2008:  NSF, Palmetto Number Theory Series, co-PI, $8250.
2007-2008:  NSA, Palmetto Number Theory Series, co-PI, $15,000.
2005-2006:  NSF, Acquisition of parallel computing cluster for large-scale computational problems in mathematical sciences, co-PI, $140,570.

Publications

Honors and awards
2011 Award for Faculty Excellence, Clemson University Board of Trustees (April 2012)
2010 Mathematical Sciences Faculty Teaching Award (April 2010)
2002 Award for Faculty Excellence, Clemson University Board of Trustees (April 2003)
2002 Ralph E. Powe Junior Faculty Award (May 2002)
Selected Recent Ph.D. Workshop Presenter, AWM (January 2001)
Project NExT Fellowship, MAA (1999-2000)
Teaching Excellence Award, Louisiana State University Mathematics Department (December 1998)
Board of Regents Graduate Fellowship, Louisiana State University (1995-1998)

Graduate advising
Doctoral students

1. S. Anderson, (in progress).
2. J. Peachey, “Explicit bases for Riemann-Roch spaces over function fields with many rational places and applications,” (Ph.D., Mathematical Sciences, December 2011).
3. W. Kositwattanarerk, “Pseudocodewords of parity-check codes,” (Ph.D., Mathematical Sciences, August 2011).
4. N. Drake, “Decoding of multipoint algebraic geometry codes via lists,” (Ph.D., Mathematical Sciences, December 2009).
   

Masters students

1. J. Hyde-Volpe,“Quantum codes from two-point Hermitian codes,” (M.S., Mathematical Sciences, August 2010).
2. J. Peachey, “On Weierstrass semigroups of some m-tuples on norm-trace curves,” (M.S., Mathematical Sciences, May 2009).
3. B. Hicks, “Investigating the regularity of decomposition graphs of prisms,” (M.S., Mathematical Sciences, May 2009).
4. R. Thomas, “Gene networks modeled by polynomials over finite fields,” (M.S., Mathematical Sciences, May 2008).
5. J. Marshall, “On the number of Weierstrass semigroups of triples on the Hermitian curve,” (M.S., Mathematical Sciences, May 2007).
6. M. Coleman, “Semigroups and exact minimum distances of codes from a quotient of the Hermitian curve,” (M.S., Mathematical Sciences, May 2005).
7. S. Graham, “Decoding arrays for two-point codes,” (M.S., Mathematical Sciences, May 2005).
8. N. Drake, “Exact minimum distances of some two-point Hermitian codes,” (M.S., Mathematical Sciences, May 2004).
9. T. Michel, “One-point codes using places of higher degree,” (M.S., Mathematical Sciences, May 2004).
10. K. Durham, “Some Weierstrass semigroups on certain maximal curves,” (M.S., Mathematical Sciences, May 2003).
11. T. A. Bedford, “Z4-linear codes,” (M.S., Mathematical Sciences, August 2001).
    

Undergraduate advising
Honors students

1. J. Hyde-Volpe, “Quantum codes from two-point Hermitian codes,” (B.S., Mathematical Sciences with honors, May 2009).
2. C. Baber, “Distance 2 colorings of certain generalized Petersen graphs,” (B.S., Mathematical Sciences with honors, May 2007).
3. R. Robinson, “On the dual and Lipman chains of a special family of numerical semigroups,”(B.S., Mathematical Sciences with honors, May 2004).
4. J. Bayless, “On the group generated by an n-cycle and an involution,” (B.S., Mathematical Sciences with honors, May 2003).
   

Service
Conference organization

• AMS Special Session on Advances in Coding Theory at Joint Mathematics Meetings (January 2012).
• AMS Special Session on Recent Advances in Coding Theory at Joint Mathematics Meetings (January 2009).
• PaNTS: Palmetto Number Theory Series, (2006-2008).
• AMS Special Session on Algebraic Geometry Codes at Joint Mathematics Meetings (January 2005).
• Research Experiences for Undergraduates Poster Session at Joint MAA Southeastern Section/SIAM Southeast Atlantic Section Meeting (March 2003).
• Project NExT Session on Creative Research Techniques at Joint Mathematics Meetings (January 2000).
• Louisiana State University Graduate Student Seminar (1996-1997).
  

Outreach activities

• Instructor, Project WISE (Women in Science and Engineering) “Math, Science, and Engineering: It’s a girl thing!” summer camp for junior high girls (June 2004, June 2005, July 2006, June 2007, June 2008, June 2009, June 2010, June 2011).
• Instructor, PAW - PEER and WISE – Day, recruiting activity for groups underrepresented in science and engineering (April 2009).
• Instructor, PEER (Programs for Education, Enrichment, and Retention) Mathematics Excellence Workshop (Summer 2006, Summer 2007).
• Organizer, “SHaring ADventures in Engineering and Science (SHADES): An interactive colloquium in engineering and science for middle school girls,” mathematics session (March 2001).
• Co-organizer and co-PI, project supported by MAA/Tensor Foundation to establish math clubs for girls in three middle schools in Knoxville, TN, (2001-2002).
• Outreach volunteer, Westhaven Elementary School, Knoxville, TN (2000-2001).
  

Additional service

• Member, Editorial board, Journal of Coding Theory (2010-)
• Coordinator, Math Superstars, Clemson Elementary School (2010-)
• Teaching mentor for junior faculty (2008-)
• Academic advisor for graduate and undergraduate students in math sciences (2002-)
• Referee for Journal of Algebra; IEEE Transactions on Information Theory; Designs, Codes and Cryptography; Finite Fields and their Applications; Applicable Algebra in Engineering, Communication and Computing; Linear Algebra and its Applications; Communications in Algebra; Advances in Mathematics of Communications; SIAM Journal on Discrete Mathematics; Discrete Applied Mathematics; Pacific Journal of Mathematics; European Journal of Combinatorics; Proceedings of the 2003 Arithmetic and Birational Geometry Conference; Discussiones Mathematicae Graph Theory; Integers; and Houston Journal of Mathematics.
• Consultant, MAA Project NExT (2007-2008, 2011-2012)
• Mentor, AWM Mentor Network (2002-)
• Member, Long-range planning committee, AWM (2001-2004).