Dr. Carla D. (Moravitz) Martin

*Associate Professor*

Department of Mathematics and Statistics

112 Roop Hall, MSC 1911

James Madison University

Harrisonburg, VA 22807

Email: [MyUserName]@jmu.edu

(my user name is: martincd)

2005 Ph.D. Cornell University, Applied Mathematics

Dissertation:Higher-Order Kronecker Products and Tensor Decompositions(Abstract [pdf], Full Thesis [pdf])

Charles F. Van Loan, advisor2003 M.S. Cornell University, Applied Mathematics

1995 B.S. Virginia Tech, Mathematics,

In Honors

2011-Present Associate Professor, James Madison University

2006-2011 Assistant Professor, James Madison University

2005-2006 Escobar Assistant Professor, Cornell University, Dept. of Mathematics

2002-2005 Graduate Research Assistant, Cornell University, Dept. of Computer Science (summers)

1999-2005 Graduate Teaching Assistant, Cornell University

1995-1999 Consultant, PricewaterhouseCoopers (PwC), Bethesda, MD

- C.D. Martin, R. Shafer, and B. LaRue. A recursive idea for
multiplying order-p tensors.
*Submitted to SISC*. July 2011.

- C.D. Martin and M.A. Porter. The Extraordinary SVD.
*MAA Monthly*. Submitted April 2011. arXiv:1103.2338v2.

- C.D. Martin. The Rank of a 2x2x2 Tensor.
*Linear and Multilinear Algebra*. 1-8 iFirst.

- C.D. Martin and A. Tongen.
*Keeping it R.E.A.L.: Research Experiences for All Learners*, MAA Classroom Resource Materials Book, Mathematical Association of America, Washington, D.C. 129 pages.

- M.E. Kilmer and C.D. Martin. Factorization Strategies for Third-Order
Tensors,
*Linear Algebra and its Applications Special Issue: Dedication to G.W. Pete Stewart on the occasion of his 70th birthday*, Vol. 435, No. 3, August 2011, pp 641-658. Technical Report.

- P. Gustafson and C.D. Martin. BIG Mathematical Experiences at the JMM,
*MAA FOCUS*, Vol. 30, No. 1, Feb/Mar 2010.

- C.D. Martin.
What Can I Do With a Math Degree?,
*MAA FOCUS*, Vol. 29, No. 4, Aug/Sept 2009.

- M.E. Kilmer, C.D. Martin, and L. Perrone. A Third-Order Generalization of the Matrix SVD as a Product of Third-Order Tensors. Technical Report Number TR-2008-4, Tufts University Department of Computer Science, Medford, MA, October 2008.
- C.D. Moravitz Martin and C.F. Van Loan.
A Jacobi-Type Method for Computing Orthogonal Tensor Decompositions.
*SIAM J. Matrix Anal. Appl.*. Volume 30, No.3 (2008).MATLAB codes for Jacobi-type method.

- C.D. Moravitz Martin and C.F. Van Loan.
Shifted Kronecker Product Systems.
*SIAM J. Matrix Anal.*Volume 29, Number 1, pp. 177-183 (2006).MATLAB codes for the Shifted Kronecker Product Problem.

- C.D. Moravitz Martin and C.F. Van Loan.
Solving Real Systems with the Complex Schur Decomposition.
*SIAM J. Matrix Anal.*Volume 29, Number 1, pp.184-198 (2006).

- M.E. Kilmer and C.D. Moravitz Martin.
Decomposing a Tensor.
*SIAM News*. Volume 37, Number 9 (2004).

- C.D. Moravitz Martin and C.F. Van Loan.
Product Triangular Systems with Shift.
*SIAM J. Matrix Anal*. Vol. 24, Number 1. pp. 292-301.MATLAB codes for the Product Triangular Systems with Shift problem.

- C. Martin. Mathematician at Work.
*Math Horizons*, Vol. 5, Nov. 1997, Mathematical Association of America, p. 9.

"Order-p Tensors: Factoring and Applications,"AWM 40th Anniversary Conference, Brown University, September 17-18, 2011.

"What Can I Do With a Math Degree?"Executive Advisory Council to STEM/HHS meeting, James Madison University, April 14, 2011.

"Music, climbing, chemistry, mathematics: My Life,"Welcoming Address, Expanding Your Horizons Conference, James Madison University, April 9, 2011.

"Careers in Mathematics,"Broadway High School, Broadway, VA, upper level math classes, March 25, 2011.

"Why companied need mathematicians, even in rough times," AMS-MAA-SIAM Joint Mathematics Meetings, San Francisco, CA. January 14, 2010.

"Factorization Strategies for Third-Order Tensors", AMS-MAA-SIAM Joint Mathematics Meetings, San Francisco, CA. January 13, 2010.

"Indoor Lessons from Outdoor Education", MD-DC-VA MAA Fall Section Meeting, Goucher College, Baltimore, MD, November 13, 2009.

"Why Factor Tensors?", Interdisciplinary Center for Applied Mathematics (ICAM), Virginia Polytechnic Institute and State University, Blacksburg, VA, April 9, 2009.

"A New Factorization of an Order-p Tensor as a Product of Order-p Tensors",SIAM Conference on Computational Science and Engineering, Miami, FL, March 4, 2009.

"Developing Tensor Operations with an Underlying Group Structure"National Science Foundation (NSF) Tensor Workshop,Arlington, VA, February 21, 2009.

"A Higher-order Generalization of the Matrix SVD as a Product of Higher-order Tensors", AMS-MAA-SIAM Joint Mathematics Meetings, Washington, DC, January 7, 2009.

"Incorporating Undergraduate Research into the Classroom",MAA Fall DC-MD-VA Section Meeting, Hood College, Frederick, MD, November 8, 2008.

"A Tensor SVD", Householder Symposium XVII, Zeuthen, Germany, June 5, 2008.

"Music and Math: Discovering Relationships", University Honors Program Brownbag Series, James Madison University, January 23, 2008.

Mathematical Projects for Science Fairs and Symposia(with P. Kohn and L. Taalman), Valley of Virginia Council of Teachers of Mathematics (V2CTM) Meeting, Pleasant Valley Elementary School, Harrisonburg, VA, November 7, 2007.

"What Linear Algebra, Mars Rovers and Brain Scans have in Common -- the Power of Approximation, Department of Mathematics Colloqium, Longwood University, Farmville, VA, October 4, 2007.

"Linear Recurrence Relations in Music", MathFest, San Jose, CA, August 5, 2007.

"Why Consulting Firms need Mathematicians", AMS-MAA-SIAM Joint Mathematics Meetings, New Orleans, LA, January 8, 2007.

"Linear Algebra and Tensor Rank", AMS-MAA-SIAM Joint Mathematics Meetings, New Orleans, LA, January 6, 2007.

"The Rank of a 2x2x2 Tensor", MAA Fall DC-MD-VA Section Meeting, Longwood University, Farmville, VA, November 4, 2006.

"The Rank of a Tensor", Department of Mathematics Colloqium, Virginia Tech, Blacksburg, VA, October 3, 2006.

" Tensor Decompositions and Compression,"AMS-MAA-SIAM Joint Mathematical Meetings, San Antonio, TX, January 15, 2006.

" Compressing Higher-Dimensional Arrays,"Tufts University, Department of Mathematics Colloqium, Medford, MA. November 4, 2005.

" Compressing Higher-Dimensional Arrays,"Householder Symposium, Seven Springs, PA. May 23-27, 2005.

"Higher-Dimensional Tensor Decompositions,"Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA. April 19, 2005.

"A Jacobi-type method for Computing Tensor Decompositions,"SIAM Conference on Computational Science & Engineering, Orlando, FL, February 12-15, 2005.

" An Overview of Multilinear Algebra and Tensor Decompositions", ARCC Tensor Decomposition Workshop, American Institute of Mathematics, Palo Alto, CA, July 19-23, 2004.

" Shifted Kronecker Product Systems,"2002 Foundations of Computational Mathematics (FOCM) Conference, Numerical Linear Algebra workshop, IMA, Minneapolis, MN, August 8-10, 2002.

"Product Triangular Systems with Shift,"Mathematical Sciences Graduate Student Seminar, Cornell University, October 17, 2001.

Featured in cover article of the Newsletter of the MAA Business, Industry, and Government Special Interest Group (BIG SIGMAA): C. Martin: Love of Music Leads to Mathematics Career, BIG Notebook, Vol. 7, No.1, April 2011.

Interviewed for WXJM Radio Show STEM Sells (Episode #10 - 2/18/10) on research in linear algebra.

Career profile listed on MAA Online Career Profiles (May 2007).

Interviewed for CNN article Working Your Degree. Applied Math becomes more popular among students.

Career profile featured for the AMS-MAA-SIAM Project for Nonacademic Employment sponsored by the American Mathematical Society.

Career profile listed on MAA Online Career Profiles (March 1998).

Profiled in 101 Careers in Mathematics, 2nd Ed., by Andrew Sterrett.

Video appears under Profiles of Mathematicians sponsored by the Sloan Career Cornerstone Center.

MAA DC-MD-VA Section NExT Fellow, 2006-2008

National Project NExT Fellow, 2006-2007

AWM Workshop Accepted Participant and Travel Grantfor expenses to attend and speak at the 2006 AMS-MAA-SIAM Joint Meetings, San Antonio, TX, January 12-15, 2006.

Cornell Department of Computer Science TA Awardfor work during Spring 2005 in CS322 (Scientific Computing)

Nominated for the Cornell Clark and Russel Distinguished Teaching Award for the College of Arts & Sciences, 2003

Nominated for the Cornell Department of Mathematics Teaching Award, 2002,2005

NSF VIGRE Semester Fellowship, Spring 2002, materials development forDynamical Models in Biologyfirst-time course. A description of my work.

Phi Kappa Phi Graduate Fellowship

Cornell Department of Music Scholarshipfor Private Violin Study, 2002 - 2004.

Virginia Tech University Woman of the Year, 1995

Virginia Tech Interdisciplinary Center for Applied Mathematics (ICAM) Outstanding Senior Award, 1995

Virginia Tech Outstanding Undergraduate Student Leader Award, 1995

Phi Beta Kappa, Inducted 1994

MAA Women and Mathematics Tensor Grant, Awarded March 2011 for expenses for the Expanding Your Horizons Conference.

NSF Computational Mathematics(with M. Kilmer) DMS# 0914974. Awarded June 2009 for Research in the field of multilinear algebra and tensor decompositions. Award Period: August 2009 - July 2012.

MAA Women and Mathematics Tensor Grant, Awarded March 2009 for expenses for the Expanding Your Horizons Conference.

NSF Travel Grant, for expenses to attend and speak at the 2009 SIAM Computational Science and Engineering Conference, Miami, FL, March 3-5, 2009.

NSF Travel Grant, for expenses to attend and speak at the 2008 Householder Symposium XVII, Zeuthen, Germany, June 1-6, 2008.

NSF Travel Grantfor expenses to attend and speak at the 2005 Householder Symposium, Seven Springs, PA, May 23-27, 2005.

NSF Travel Grant, Institute for Mathematics and its Applications (IMA) for travel expenses to FOCM 2002, Minneapolis, MN, August 8-10, 2002.

(talk) W. Henderson ('12) and J. Wyman ('11), "Multilinear Algebra and Tensors," AMS-MAA-SIAM Joint Meetings, New Orleans, LA, January 2011.

(talk) W. Henderson ('12) and J. Wyman ('11), "New Tensor Factorization," SUMS Conference, James Madison University, October 2010.

(talk) J. Szalay ('11), "Separating Signals with Independent Component Analysis, SUMS Conference , James Madison University, October 2009.

(talk) J. Szalay ('11), "Explaining Blind Source Separation and Independent Component Analysis," Technology Services Corporation (TSC), College Park, MD, January 23, 2010.

(talk) J. Szalay ('11), "Undetermined Independent Component Analysis," JMU Dept. of Mathematics and Statistics Student Research Symposium, April 2010.

(paper) E. Miller (TCNJ '09) and S. Ladenheim (Syracuse '09), "Higher-Order Tensor Operations and their Applications," TCNJ Journal of Student Scholarship, XI, 2009.

(talk) E. Miller (TCNJ '09) and S. Ladenheim (Syracuse '09), "Higher-Order Tensor Operations and their Applications," SUMS Conference, October 2008.

(poster) J. Szalay ('10), "Deblurring an Image," SUMS Conference, October 2008. First-prize winner.

(poster) T. Dowd ('09), "Circulant Matrices," SUMS Conference, October 2008. Second-prize winner.

(talk) D. Fordham ('09), "Playing with Primes in the Goldbach Conjecture," MD-DC-VA MAA Section Meetings, James Madison University, April 2008.

(talk) J. Szalay ('10), "Steganography," MD-DC-VA MAA Section Meetings, James Madison University, April 2008. Third-prize winner.

(poster) M. Spencer ('09), "Triangular Product Systems with Shift," MD-DC-VA MAA Section Meetings, James Madison University, April 2008. Second-prize winner.

(poster) B. Kohler ('08), D. Boxer ('08), M. McHarg ('09), "In your Face!" MD-DC-VA MAA Section Meetings, James Madison University, April 2008. Third-prize winner.

(poster) C. Heatwole ('09), "The Goldbach Conjecture," SUMS Conference, October 2007. First-prize winner.

## SERVICE

Director and Organizer of the annual Expanding Your Horizons Conference held each April for middle and high school students

Vice Chair for Programs, BIG SIGMAA

Member MAA, AMS, SIAM, AWM

JMU university-wide STEM Committee