Keri A. Kornelson

Department of Mathematics and Computer Science
Grinnell College
Grinnell, Iowa 50112
(641) 269-4661
kornelso"at"math"dot"grinnell"dot"edu
Printable version (pdf format): CV

Education

Ph.D. in Mathematics, University of Colorado at Boulder, 2001
Dissertation Title: Local Solvability of Variable Difference Operators Arising From the Discrete Heisenberg Group
Thesis advisor: Lawrence W. Baggett

M. S. in Mathematics, University of Colorado at Boulder, 1997

B. A. in History, University of Maryland University College - European Division, 1995

B. A. in Mathematics with distinction , University of Colorado at Boulder, 1989

Academic Positions

• Assistant Professor, Grinnell College, 2004 - present.
• VIGRE Postdoctoral Fellow, Texas A&M University, 2001-2004
• Visitor, Georgia Institute of Technology, Atlanta, GA, Jan. - May, 2003
• Graduate Teaching Assistant for the Mathematics Department, University of Colorado at Boulder 1995-2001
• Head Instructor for the Student Academic Services Center (SASC), University of Colorado at Boulder, Aug. - Dec. 1998

Publications and Preprints

1. Local Solvability of Laplacian Difference Operators Arising from the Discrete Heisenberg Group, Canadian J. Math., vol. 57 (3), 2005, 598 - 615.
2. Rank-One Decomposition of Operators and Construction of Frames, with D. Larson, "Wavelets, Frames, and Operator Theory", Contemp. Math., vol. 345, American Mathematical Society, Providence, RI, 2004, 203-214.
3. Ellipsoidal Tight Frames and Projection Decomposition of Operators, with K. Dykema, D. Freeman, D. Larson, M. Ordower, and E. Weber, Illinois J. Math, vol. 48, Number 2, Summer 2004, 477 - 489.
4. Convolutional Frames and the Frame Potential , with M. Fickus, B. Johnson and K. Okoudjou, to appear in Applied and Computational Harmonic Analysis.
5. Harmonic Analysis of Iterated Function Systems with Overlap, with P.E.T. Jorgensen and K. Shuman, submitted.
   ArXiv Listing: math-ph/0701066.
6. Orthogonal Exponentials and Iterated Function Systems with Overlap, with P.E.T. Jorgensen and K. Shuman, in preparation.
7. Frames for Undergraduates, with D. Han, D. Larson, and E. Weber. Under contract in the Undergraduate Mathematical Library book series from the American Mathematical Society.

Conference Presentations

Great Plains Operator Theory Symposium (GPOTS-2004), College Station, TX. May, 2004

International Conference on Computational Harmonic Analysis (CHA-2004), Vanderbilt University, Nashville, TN. May, 2004

Special Session: \textit{Designing Frames and Wavelets: From Theory to Digitization}, Joint Meeting of the AMS and the Sociedad Matematica Mexicana (SMM), Houston TX. May, 2004

Contributed Talk, Joint Meetings of the American Mathematical Society and the Mathematical Association of America, Phoenix, AZ. January, 2004

Linear Analysis and Probability (LAP) Workshop, Texas A&M University, College Station, TX. August, 2003

AMS Spring Southeastern Section Meeting, Louisiana State University, Baton Rouge, LA. March, 2003

Association for Women in Mathematics Workshop at the Joint Meetings of the AMS-MAA, Baltimore, MD. January, 2003

Joint Meetings of the AMS-MAA, Baltimore, MD. January, 2003

AMS Fall Southeastern Section Meeting, University of Central Florida, Orlando, FL. November, 2002

Conference on Applied Mathematics (CAM) 2002, University of Central Oklahoma, Edmond, OK. October, 2002

IWOTA, Virginia Tech, Blacksburg, VA. August 2002

Great Plains Operator Theory Symposium, University of North Carolina, Charlotte, NC. May 2002

Southeastern Analysis Meeting, University of North Carolina, Chapel Hill, NC. March 2002

New Mexico Analysis Seminar, University of New Mexico, Albuquerque, NM. March, 2001

AMS Fall Western Section Meeting, San Francisco State University, San Francisco, CA. October, 2000

Invited Seminar and Colloquium Talks

1. Analysis Seminar, St. Louis University, St. Louis, MO., March, 2004
2. Colloquium, Grinnell College Department of Mathematics and Computer Science, Grinnell, IA. January, 2004
3. Colloquium, Clemson University Department of Mathematical Sciences, Clemson, SC. January, 2004
4. Linear Analysis Seminar, Texas A&M University, College Station, TX. October, 2003
5. Analysis Seminar, Georgia Institute of Technology, Atlanta, GA. February, 2003
6. Postdoc Colloquium, Texas A&M University, College Station, TX. October 2002
7. Karcher Colloquium, University of Oklahoma Mathematics Department, Norman, OK. September 2002
8. Concentration Week in Wavelets and Frames, Texas A&M University, College Station, TX. July 2002
9. Linear Analysis Seminar, Texas A&M University, College Station, TX. October, 2001
10. Mathematics Colloquium, Emporia State College, Emporia, KS. February 2001

Professional and Departmental Service

Referee for articles submitted to: Applied and Computational Harmonic Analysis, Constructive Approximation, Contemporary Mathematics, Linear Algebra and its Applications, Proceedings of the American Mathematical Society.

Team-Teacher and mentor for Matrix Analysis and Wavelets course which was jointly run as a seminar for Texas A&M undergraduate and graduate students and as a Research Experience for Undergraduates (REU). Summer, 2002, 2003, 2004

Co-founder and faculty sponsor for the student chapter of the Association for Women in Mathematics, Texas A&M University, Fall, 2003.

Developed a series of mathematics skill-enhancement seminars called The Wednesday Workshops for undergraduates at the University of Colorado, 1999-2001. Presented the seminars several times each semester to over 200 students per year. Wrote proposals and received grants from the Mathematics Department and the Student Academic Services Center to support the program.

Co-Founded a Program for Undergraduate Research in Mathematics, University of Colorado, 2001.

Graduate Student Representative to the Mathematics Department Undergraduate Committee, Fall, 1998 to Spring, 1999.

Graduate Student Representative to the Mathematics Department Graduate Committee, Fall, 1999 to Spring 2000. This included organization of the orientation program for new graduate students.

Co-Founded a group for women in mathematics, University of Colorado, 1998-2001.

Honors and Awards

Selected to present one of eight talks in the Recent Ph.D. Recipient session as part of the Association for Women in Mathematics Workshop, Baltimore, MD. January, 2003.

Graduate Part Time Instructor Teaching Excellence Award,University of Colorado, May, 2001

Francis P. Stribic Graduate Fellowship, University of Colorado. August, 2000

Summer Research Assistantship, University of Colorado, May, 2000

Burton W. Jones Teaching Excellence Award, University of Colorado Mathematics Department. April, 2000

United Government of Graduate Students Teaching Assistant Award, 1st Place, University of Colorado. April, 2000

University Fellowship, University of Colorado. August, 1999

Courses and Workshops Attended

1. Mellon Workshop on Mathematical Modeling
   Pomona College, Claremont, CA. November 5--7, 2004.
2. Workshop on Wavelets
   Washington University, St. Louis, MO. March 15--19, 2004.
3. Wavelets, Frames, and Operator Theory NSF FRG grant-sponsored workshop series:
   • Georgia Institute of Technology, Atlanta, GA. October 11--14, 2003
   • University of Colorado, Boulder, CO. June 23-30, 2003
   • Vanderbilt University, Nashville, TN. May 11-13, 2003
   • University of Maryland, College Park, MD. January 19-21, 2003
4. Wavelets and Applications Workshop.
   Institut de Matemàtica, Universitat de Barcelona. July 1-6, 2002
5. Making Liberal Arts Mathematics the Most Important Course Students Take to Learn Effective Thinking.
   MAA Minicourse, Joint Meetings of the AMS-MAA, New Orleans, LA. January, 2001

Pedagogy and Other Presentations

1. The Haar Wavelet.
   Guest lecture, Loyola Marymount University, Los Angeles, CA. February, 2004.
2. Math and Basketball: A skill-building paradigm.
   Joint Meetings of the AMS and MAA, Phoenix, AZ. January, 2004.
3. An Academic Career in Mathematics.
   Presentation for the Mathematics Career Fair, Texas A&M University, College Station, TX. April, 2002.
4. Mathematics Exam Preparation Techniques.
   Guest lecture at Week in Review, Texas A&M University, College Station, TX. September, 2001.
5. Fundamental Skills for Success in a Mathematics Course.
   Guest lecture, University of Denver, Denver, CO. January, 2001.
6. Afternoon Workshops in Math Study Skills: Giving students strategies to succeed in their math courses.
   Joint Meetings of the AMS-MAA, New Orleans, LA. January, 2001.
7. Skills for Success in a Math Course, Problem Solving Skills , and Exam Preparation and Test-Taking Skills. Presented in the Wednesday Workshops, University of Colorado, Boulder. 1999-2001.

Other Positions

Technical Staff Engineer for Lockheed Missiles and Space Company, England, 1992-1995.

Member of the Technical Staff for Hughes Aircraft Company, Aurora, CO 1989-1992.

Undergraduate Research Assistant on the Solar Mesosphere Explorer (SME) Satellite, Laboratory for Atmospheric and Space Physics, University of Colorado, Boulder, CO. 1987-1989.

Professional Affiliations

American Mathematical Society

Mathematical Association of America

Association for Women in Mathematics