Gene Abrams  
Professor Department of Mathematics abrams 'at' math.uccs.edu Office: Room 288 EAS Building (719) 2553182 (office)



Background and Professional Information  
 Ph.D. in Mathematics, University of Oregon, 1981. (B.A., Math, U.C. San Diego, 1976)  Department Chair, September 1995  August 1998.  Recipient of the UCCS campuswide Chancellor's Award, 2010.  Recipient (with J. Sklar) of 2010 Allendoerfer Award (for expository writing), Mathematical Association of America. (full vita available on request)
Research interests: I am an algebraist, with interest in noncommutative rings and their categories of modules. Since 2005 my primary focus has been on a class of rings called "Leavitt path algebras".
Recent Articles:(much of this research is supported by a Simons Foundation Collaboration Grant in Mathematics)  "Cohn path algebras have Invariant Basis Number" (with M. Kanuni), submitted.  "The prime spectrum and primitive ideal space of a graph C*algebra" (with M. Tomforde), International J. Math, to appear.  "The Leavitt path algebras of generalized Cayley graphs" (with G. Aranda Pino), Mediterranean J. Math, to appear.  "A class of C*algebras that are prime but not primitive" (with M. Tomforde), Muenster J. Math., to appear.  "Leavitt path algebras of Cayley graphs arising from cyclic groups" (with B. Schoonmaker), Proceedings of the conference "Noncommutative rings and their applications, Lens, France, July 2013", American Mathematical Society Contemporary Mathematics Series, to appear.  "On prime nonprimitive von Neumann regular algebras" (with J. Bell, K.M. Rangaswamy), Transactions of the American Mathematical Society 366(5), 2014, 23752392.
Recent Professional Activities:  In residence, Universita di Padova (Italy), May 20  July 31, 2013. (Duties included teaching a Ph.D. course at U. di Padova on the topic of Leavitt path algebras.)  Coorganizer of sponsored conference "Graph algebras: Bridges between graph C*algebras and Leavitt path algebras", held at Banff International Research Station, April 2013.  Principal Investigator, Partnership for Innovative Preparation of Educators and Students (PIPES), 2008  2013.  Instructor at Epsilon Camp (Summer 2012), and at MathPath (Summers 2009 and 2011), held at Colorado College.  coorganizer, Pikes Peak Mathematics Teacher Circle Academy and Worshops. Academy: Breckenridge, CO, June 2009, June 2010, and June 2011; Estes Park, June 2012. Workshops: Monthly through the academic year, Fall 2009 through Spring 2013.  Mathematical content developer, Colorado Springs Sky Sox Math Youth Day, annually since 2002. Here's an article about it.  "Math on Tap: The constant flow of new ideas and new results in mathematics research"; presentation made at Jack Quinn's Irish Pub, Colorado Springs, July 2011, as part of the "Science on Tap" series. (I've made additional public presentations about mathematics as part of the Cafe Scientifique Series. Here's an article about those.)
Recent Seminars / Colloquia: (all talks 50  60 mins unless otherwise indicated) University of Malaga (Spain), June 2014 Conference on Algebraic Structures and Applications, Spineto, Italy, June 2014 (20 minutes) University of Washington / PIMS Colloquium, May 2014 Seattle University, May 2014 Pacific Lutheran University, May 2014 University of Washington Algebra Seminar, May 2014 (and Seminar Pretalk) Colorado College, April 2014 Saint Peter's University, April 2014 Rutgers University, April 2014 University of California San Diego, October 2013 Stefan Banach Center, Bedlewo, Poland July 2013 (20 minutes) Universite d'Artois (Lens, France), July 2013 (30 minutes) University of Padua, June 2013 Banff International Research Station (BIRS) April 2013 University of Colorado Boulder (AMS Sectional Conference) April 2013 (20 minutes) Univeristy of Victoria, March 2013 University of Western Sydney, February 2013: Lecture 1; Lecture 2; Lecture 3 Australian Mathematical Science Institute National Seminar Series, February 2013 University of Southern California, November 2012 Ohio State University May 2012 Mathematisches Forschungsinstitut Oberwolfach April 2012 University of Hawaii (AMS Sectional Conference) March 2012 (20 minutes) Additional talks since 2008 include : University of South Alabama, November 2011; Baylor University, October 2011; Universidad de Malaga (Spain), September 2011; University of Nebraska  Lincoln, April 2011; University of Iowa, April 2011; University of Wisconsin  Milwaukee, April 2011; University of California San Diego, March 2011; University of Washington, August 2010; Universidad de Granada (Spain), July 2010; Universidad de Malaga (Spain), July 2010; George Mason University, April 2010; University of Oregon, April 2009; DePaul University, October 2008; University of California at Berkeley, June 2008; University of California at Santa Barbara, March 2008; University of Houston, February 2008
Activities related to Mad Veterinarian Puzzles: Article: "The graph menagerie: Abstract algebra and the Mad Veterinarian" (with J. Sklar), Mathematics Magazine 83(3), 2010, 168179. (Earned 2010 Allendoerfer Prize from MAA.) Seminars / colloquia: "The Graph Menagerie: Abstract Algebra meets the Mad Veterinarian", University of San Francisco Math Department Colloquium, March 7, 2012.  "The Graph Menagerie", Colorado College Fearless Friday seminar series, October 22, 2010.  "The Graph Menagerie", University of Colorado at Colorado Springs Math Colloquium,September 30, 2010.
Handson activities (to various teacher groups and student groups):  "Mad Veterinarian Puzzles: Grids, Groups, Graphs; Gerbils, Groundhogs, Giraffes?" Rocky Mountain Math Teacher's Circle (Denver), May 4, 2013; also presented at the San Francisco Math Teachers' Circle, March 6, 2012. (2.5 hour activity)  Mobile Alabama Math Circle, November 14, 2011  Breakout sessions of MathPath 2011, Colorado College, July 1215, 2011  Plenary sessions of MathPath 2009, Colorado College, July 8 and 9, 2009.  Colorado Math Circle, Boulder, CO, April 26, 2009
Sky Sox Math Youth Days Content developer for Sky Sox Math Youth Days, 2002  present. Link to: Radio interview AM 1300 during 4th inning of Sky Sox Math Youth Day,May 7, 2014 Link to: Math Youth Day website
Hobbies and recreational pursuits include:
Some photos: 1) with my wife Mickey, at the top of Passo Giau (near Cortina d'Ampezzo, Italy), July 2013
2) with my wife Mickey, riding up Pikes Peak ("Assault the Peak Challenge"), August 2010 

