Dr. Mark Greer
Education
- 2013 Ph.D., Ä¢¹½Ä¢¹½ of Denver
- 2009 M.S., Ä¢¹½Ä¢¹½ of Denver
- 2006 B.S., Northern Arizona Ä¢¹½Ä¢¹½
Publications
| [7] | Automorphic loops and metabelian groups (with L. Raney), submitted. |
| [6] | Decompositions of complete graphs and p-groupoids (with J. Carr), Quasigroups and Related Systems 27 (2019), 201-210. |
| [5] | Simple right conjugacy closed loops, Nonassociative mathematics and its applications, Contemp. Math. 721 (2019), 151-163. |
| [4] | Semiautomorphic inverse property loops, Comm. in Algebra 5 (2017), 2222-2237. |
| [3] | Moufang extensions and semidirect products of loops with groups (with L. Raney), Comment. Math. Univ. Carolin. 55 (2014), 411-420. |
| [2] | A class of loops categorically isomorphic to Bruck loops of odd order, Comm. in Algebra 42 (2014), 3682-3697. |
| [1] | Pseudoautomorphisms of Bruck loops and their generalizations (with M.K. Kinyon), Comment. Math. Univ. Carolin. 53 (2012), 383-389. |
Presentations
| [26] | “Gamma Loops (invited speaker),” Special Session on Nonassociative Algebra, AMS Western Sectional Meeting, Ä¢¹½Ä¢¹½ of Denver, Denver, CO, USA (October 2016). |
| [25] | “Automated Deduction in Undergraduate Research Projects (invited speaker, pedagogical talk),” Automated Deduction and its Application to Mathematics, Ä¢¹½Ä¢¹½ of New Mexico, Albuquerque, New Mexico, USA (August 2016). |
| [24] | “Quasigroups and Undergraduate Research Projects (pedagogical talk),” Contributed Session on Undergraduate Research and Teaching of Upper Level Mathematics, MAA Southeastern Conference, Ä¢¹½Ä¢¹½ of Alabama – Birmingham, Birmingham, Alabama, USA (March 2016). |
| [23] | “A general construction for simple right conjugacy closed loops,” Contributed Session, AMS Southeastern Conference, Ä¢¹½Ä¢¹½ of Georgia, Athens, Georgia, USA (March 2016). |
| [22] | “A generalization of Moufang and automorphic loops (invited speaker),” Loops’ 15 Ohrid, Macedonia (July 2015). |
| [21] | “Nonassociative Constructions from Baer (invited speaker),” Zassenhaus Group Theory conference, Binghamton, NY, USA (May 2015). |
| [20] | “Moufang semidirect products of loops with groups and inverse property extensions (invited speaker),” Mathematics Colloquium, Ä¢¹½Ä¢¹½ of Denver, Denver, CO, USA (May 2015). |
| [19] | “Nilpotent groups and Commutative Automorphic loops,” Automated Deduction and its Applications to Mathematics, Florence, Ä¢¹½Ä¢¹½, AL, USA (August 2014). |
| [18] | “Simple Right Conjugacy Closed loops and Hall planes,” Ohio State-Denison Mathematics Conference, Columbus, OH, USA (May 2014). |
| [17] | “Simple Right Conjugacy Closed loops,” Mathematics Colloquium, Ä¢¹½Ä¢¹½, Florence, AL, USA (August 2014). |
| [16] | “A Message Authentication Code based on quasigroups and loops,” Mathematics Colloquium, Ä¢¹½Ä¢¹½, Florence, AL, USA (September 2013). |
| [15] | “An introduction to loop theory,” Mathematics Colloquium, Ä¢¹½Ä¢¹½, Florence, AL, USA (September 2013). |
| [14] | “Simple Right Conjugacy Closed loops,” 3rd Mile High Conference on Nonassociative Mathematics, Denver, CO, USA (August 2013). |
| [13] | “A class of loops categorically isomorphic to Bruck loops of odd order (invited speaker),” Special Session on Quasigroups, loops, and nonassociative division algebras, AMS Central Section Meeting, Iowa State Ä¢¹½Ä¢¹½, Ames, IA, USA (April 2013). |
| [12] | “Loops categorically isomorphic to Bruck loops,” Joint Mathematics Meetings, San Diego, CA, USA (January 2013). |
| [11] | “Loops categorically isomorphic to Bruck loops,” Rocky Mountain Discrete Mathematics Days, Denver, CO, USA (October 2012). |
| [10] | “From Groups to Loops," Student Seminar, Ä¢¹½Ä¢¹½ of Denver, Denver, CO, USA (September 2012). |
| [09] | “Sylow Theory for Commutative Automorphic Loops,” Graduate Colloquium, Ä¢¹½Ä¢¹½ of Denver, Denver, CO, USA (April 2012). |
| [08] | “Constructing Commutative Loops," Student Seminar, Ä¢¹½Ä¢¹½ of Denver, Denver, CO, USA (September 2011). |
| [07] | “A Construction for Commutative Automorphic Loops,” Loops’ 11, Tr’est, Czech Republic (July 2011). |
| [06] | “Some Varieties of Diassociative Loops – Structures and Constructions,” Graduate Colloquium, Ä¢¹½Ä¢¹½ of Denver, Denver, CO, USA (April 2011). |
| [05] | “Constructions of Diassociative Loops (invited speaker),” Special Session on Quasigroups, loops, and nonassociative division algebras, AMS Central Section Meeting, South Bend, IN, USA (November 2010). |
| [04] | “A close look at Groups with Triality,” (I & II), Student Seminar, Ä¢¹½Ä¢¹½ of Denver, Denver, CO, USA (October 2010). |
| [03] | “Constructions on Diassociative Loops,” Student Seminar, Ä¢¹½Ä¢¹½ of Denver, Denver, CO, USA (May 2010). |
| [02] | “Turbo Codes,” Graduate Colloquium, Ä¢¹½Ä¢¹½ of Denver, Denver, CO, USA (March 2008). |
| [01] | “Numerical Semigroups,” Arizona Mathematical Undergraduate Conference, Northern Arizona Ä¢¹½Ä¢¹½, Flagstaff, AZ, USA (November 2005). |
Email: mgreer@una.edu
Telephone: 256-765-4476
Office: Computing and Mathematics Building Office 340
Postal:
UNA Box 5051
Ä¢¹½Ä¢¹½
Florence AL, 35632