Formerly retired faculty in the Department of Mathematics at University of Georgia, now back as a Lecturer.

I am interested in algebra, particularly group cohomology. I have long been interested in effectively employing technology to enhance undergraduate student learning in mathematics.

## Research

**Research Areas:**

**Research Interests:**

Algebra, particularly group cohomology; also technology in mathematics education, particularly computer algebra systems and online homework delivery systems.

**Grants:**

UGA CTL grant for hardware and software to provide video solutions to UGA-coded problems in WebAssign, $2755.66, January 2012.

Title III summer stipend and release time at Benedictine University to generate new department-wide calculus laboratory experiments using DERIVE, WebCT, and other technological tools, June 2004-May 2005.

HHMI Directed student research at Benedictine University, $12,000, “Space Group Investigations with MAGMA”, June-July 2003.

NSF MRI Grant 0116202, $70,953 for computing support, CO-PI with Mark Carlson (CO-PI, physics) and PI Ralph Meeker (computer science), August, 2001.

Benedictine University Summer Research Support, $1998, June 2000; $2168, June 2001.

NSF Instrumentation Grant for a dedicated Mathematics Laboratory, $35,617, DUE 9351472, March 1993

## Selected Publications

**Selected Publications:**

“MOOC Precalculus (almost) at the University System of Georgia”, Proceedings of the Twenty-sixth International Conference on Technology in College Mathematics, Pearson Education Inc, 2014.

“First Cohomology for Finite Groups of Lie Type: Simple Modules with Small Dominant Weights”, UGA VIGRE Algebra Group, Transactions of the Amer.Math.Soc. 365(2013), no. 2.

“Second Cohomology for Finite Groups of Lie Type”, UGA VIGRE (Vertical Integration of Research and Education in the Mathematical Sciences) Algebra Group, Journal of Algebra 360(2012).

“High Stakes Testing Using WebAssign”, Proceedings of the Twenty-fourth International Conference on Technology in College Mathematics, Pearson Education Inc, 2012.

“Uniform Assessment of Precalculus Skills Using WebAssign”, Proceedings of the Twenty-second International Conference on Technology in College Mathematics, Pearson Education Inc, 2010.

“Testing Across Precalculus Sections Using WebAssign”, Proceedings of the Twenty-first International Conference on Technology in College Mathematics, Pearson Education Inc, 2009.

“Calculus Lab Transformation: from Derive to Derive and Biology”, Proceedings of DES-TIME conference, Dresden 2006.

Kaur, M. and Townsley, L., “Derive - A Mathematical Assistant”, Proceedings of DES-TIME conference, Dresden 2006.

Comar, T. and Townsley, L., “A Common Calculus Laboratory Course for Traditional Calculus and Biocalculus Students”, Proceedings of the International Conference on Technology in collegiate Mathematics, Orlando 2006.

“Proving the Fundamental Theorem of Calculus”, AP Calculus training coursepack, 2005.

“Why we use Theorem in Calculus”, Web article on http://apcentral.collegeboard.com, 2005.

“Why DO We Use Theorem in Calculus?”, Proceedings of the Conference: Technology and its Integration into Mathematics Education, Montreal Canada, 2004.

Carlson, J.F. and L. Townsley, The Cohomology Rings of Finite Groups, Kluwer, 2003.

“Multimedia Classes: Can there ever be too much technology?” Proceedings of the Vienna International Symposium on Integrating Technology into Mathematics Education, Vienna Austria, 2002.

“Crossroads: Choosing a 'New' CAS Platform”, Proceedings of the Thirteenth International Conference on Technology in College Mathematics, Addison-Wesley-Longman, 2000.

“Computer Algebra in Abstract Algebra”, invited submission to The International Journal of Computer Algebra in Mathematics Education, 1999.

“Enhancing College-Level Understanding of Group Theory with Technology”, Proceedings of the Fourth International Conference on Technology in Mathematics Teaching, Plymouth, UK, 1999.

“High-Tech Discoveries We Never Expected”, co-author James Kulich, Proceedings of the Ninth Annual International Conference on Technology in College Mathematics, Addison-Wesley, 1997.

The State of Computer Algebra in Mathematics Education, Berry, et. al, editors, contributing editor, Chartwell-Bratt, 1997.

“Using DERIVE to Teach Calculus”, Co-author Barbara Victor, in Graham, et al, Mathematical Activities with DERIVE, Chartwell-Bratt, 1997.

The DERIVE Calculus Workbook, Co-author Barbara Victor, HarperCollins, 1994. (Also Instructor's Guide)

“DERIVE use for Matrix Algebra and Linear Algebra Instruction”, Proceedings of the Fifth Annual International Conference on Technology in College Mathematics, Lewis Lum, editor, Addison-Wesley, 1994.

“Integrating Precalculus into Calculus I using DERIVE”, Proceedings of the Fourth International Conference on Technology in College Mathematics, Addison-Wesley, 1993.

“Calculus - Reformation or Affirmation? A Survey of Other Disciplines”, PRIMUS Vol. 1, No. 4, December 1991.

“Applications of Set Theory and Topology to Economics”, Journal of Undergraduate Mathematics, March, 1981.

## Education

**Education:**

Santa Clara University, Santa Clara, CA.; B.S. 1981

Northwestern University, Evanston, IL; M.S. 1983; Ph.D. 1988