Curriculum Vitae
Michael J. Bardzell, Professor and Chair
Department of Mathematics and Computer Science
Salisbury University
Salisbury, Maryland
Research Interests:
Noncommutative Ring Theory
Cohomology of Finite Dimensional Algebras
Cellular Automata
Computational Algebra
Educational Background:
May 1996 Ph.D. in Mathematics - Virginia
Polytechnic Institute and
December 1992 M.S. in Mathematics - Virginia
Polytechnic Institute and
May 1989 B.S. in Physics - Graduated summa
cum laude with Honors in Physics
Mary Washington College Fredericksburg, Virginia
Honors and Affiliations
MD/VD/DC Section.
Grants Funded/Submitted
External
Internal
Publications and Manuscripts
1)
The Evolution of
Finite 1-Dimensional Cellular Automata updated with k-Rules, with Joseph Seaborn III, and Aaron
Churchill, and Philip Mummert. Journal of Cellular Automata. Volume 6, Number
6. 2011. p.
505-515
2) A Ring Construction Using Finite Directed Graphs. To appear, PRIMUS.
3) Cellular Automata over Group Alphabets: Undergraduate Education and the PascGalois Project, with Donald Spickler. Journal of Cellular Automata, Volume 6, Number 2-3, pp. 215-230, 2011.
4) Binomial Coefficients Modulo a Prime A Visualization Approach to Undergraduate Research, with Eirini Poimenidou. PRIMUS, 21(3), pp. 238-251, 2011.
5) A p-adic Approach to Binomial
Identities,
with Katelin Childers, Erin Craig, Israa Taha, and
Eirini Poimenidou. The Pi Mu Epsilon Journal. Volume 13, Number 3. Fall 2010.
pp. 133-142.
6) A Qualitative Approach to Assessing Technological
Pedagogical Content Knowledge, with Randall Groth, Jennifer Bergner, and Donald Spickler. Contemporary
Issues in Technology and Teacher Education, Volume 9, Issue 4, 2009.
7) PascGalois Abstract Algebra Classroom Resources, with Jennifer Bergner, Kathleen
Shannon, Don Spickler, Tyler Evans. Loci:
Resources, Digital Classroom Resources on MathDL
website, July 2008.
8) PascGalois Number Theory Classroom Resources, with Michael Fisher, and Kurt Ludwick.
Loci: Resources, Digital Classroom
Resources on MathDL website, July 2008.
9) The PascGalois
Summer Undergraduate Research Retreats, with Eirini Poimenidou, May/June
issue of the MAA newsletter FOCUS, 2007.
10) The Evolution Homomorphism and Permutation Actions on Group
Generated Cellular Automata, with Nicole
Miller, Complex Systems, Volume 15, Issue 2, 2004.
11) Searching for Patterns in Pascal's Triangle With a Twist, with
Kathleen Shannon. Journal of Online Mathematics and its Applications,
http://www.joma.org/, Volume 3, November 2003.
12) The PascGalois Triangle: A Tool
for Visualizing Abstract Algebra, with
K.M. Shannon, MAA Notes: Innovations in Teaching Abstract Algebra , April
2002.
13) The PascGalois Project: Visualizing Abstract Algebra, with K.M. Shannon, March issue MAA newsletter FOCUS,
2002.
14) Lab Manual to
Accompany the Standard Version of Starting Out with C++ (Third Edition
by Tony Gaddis), joint with Dean DeFino. Scott
Jones Publisher, 2001.
15) Lab Manual to
Accompany the Alternate Version of Starting Out with C++ (Alternate
Edition by Tony Gaddis), joint with Dean DeFino and
Judy Walters. Scott Jones Publisher, 2001.
16) Non-Commutative Groebner Bases and Hochschild Cohomology, Contemporary Mathematics, Volume 286, Symbolic
Computation: Solving Equations is Algebra, Geometry, and Engineering, 2001;
pp. 227-240.
17) H1(A) and
Presentations of Finite Dimensional Algebras,
with E.N. Marcos, Representations of Algebras, Lecture Notes in Pure and
Applied Mathematics, volume 224, Marcel Dekker, Inc. pp. 31 - 38, 2001.
18) Can We Learn
Calculus From A Jerk?, with Paula Kenyon, PRIMUS,
Volume XI Number 2, pp. 97-110, June 2001.
19) On the Hochschild Cohomology of
Truncated Cycle Algebras, with A.C. Locateli and E.N. Marcos, Communications in Algebra, 28(3),
1615-1639, 2000.
20) An Invariant
Characterization of Monomial Algebras,
with E.L. Green, Communications in Algebra, 27(5), 2331-2344, 1999.
21) Induced Boundary Maps for the Cohomology
of Monomial and Auslander Algebras, with E.N. Marcos, Canadian Mathematical Society
Conference Proceedings, Volume 24, 1998.
22) The Alternating Syzygy Behavior
of Monomial Algebras, Journal of Algebra
188, 69-89 (1997).
23) Resolutions and Cohomology of
Finite Dimensional Algebras, Ph.D. Thesis,
Virginia Tech 1996.
Publications in Preparation
Fractal Dimensions of Group
Generated Cellular Automata, with Donald Spickler.
MAA
Mini-Course / Workshop Delivered
Using PascGalois Materials to Teach Abstract Algebra, Project NExT workshop at Math Fest in Portland, Oregon, Aug. 5, 2009.
Abstract
Algebra Meets Fractal Geometry, Workshop
for the fall 2008 meeting of the MD/DC/VA Section of the MAA, Hood College,
Frederick MD, Nov. 7, 2008.
Mini-course #5: Visualizing Abstract Mathematics with Cellular Automata, with Donald Spickler. Presented at the Joint AMS/MAA National Meetings, San Diego. Jan. 2008.
Grant
Funded Workshops Awarded/Delivered
- Eastern Shore Consortium/Math Partnership
Grant Program (delivered with Drs. Jennifer Bergner) January 21, 2012. This
workshop focused in geometric probability. Teachers from six Maryland counties
attended.
- Eastern Shore Consortium/Math Partnership Grant Program (delivered with Drs. Jennifer Bergner) June 23, 24, 27, 28, and 29, 2011. This workshop focused on geometry, probability, and statistics. Teachers from six Maryland counties attended.
- Eastern Shore Consortium/Math Partnership Grant Program (delivered with Drs. Jennifer Bergner, Mara Chen, and Dan Harris). Math in the Geosciences, March 26, 2011.
- Eastern Shore Consortium/Math Partnership
Grant Program (delivered with Dr. Jennifer Bergner). Geometers Sketchpad
Workshop Jan. 22, 2011.
- Eastern Shore Consortium/Math Partnership Grant Program (delivered with Dr. Jennifer Bergner) August 28, 2010. Teachers from six Maryland counties on the Eastern Shore attended.
- Eastern Shore Consortium/Math Partnership Grant Program (delivered with Dr. Jennifer Bergner) July 7, 8, and 9, 2010. This workshop focused on prime decomposition and the combining mathematics and science using CBL/CBR technology. Teachers from six Maryland counties on the Eastern Shore attended.
-
Eastern Shore Consortium/Math Partnership Grant Program (delivered with Dr.
Jennifer Bergner) June 24, 25, 28, 29, and 30, 2010. This workshop focused on
number and operation. Teachers from four Maryland counties on the Eastern Shore
attended.
-Eastern Shore Consortium/Math Partnership Grant Program (delivered with Dr. Jennifer Bergner) January 8 and 9, 2010. This workshop focused on division algorithms and pattern recognition. Teachers from six Maryland counties on the Eastern Shore attended.
-Eastern Shore
Consortium/Math Partnership Grant Program (delivered with Dr. Jennifer Bergner)
- July 16, 17, 20, 21, and 22 2009. This workshop focused on number and
operations for elementary and middle school teachers. Teachers from six
-Eastern Shore Consortium/Math Partnership Grant Program (delivered with Dr. Jennifer Bergner) July 7 and 8, 2009. This workshop focused on number and operations for middle and early high school teachers.
- MHEC Math ITQ Grant Summer Mathematics Institute (with Dr. Claudia Burgess) June 22 June 26, 2009. This workshop focused on number, operations, and algebra for late elementary and early middle school teachers.
-Eastern Shore Consortium/Math Partnership Grant Program (delivered with Kelly Sullivan) July 15 and 16, 2008. This workshop focused on algebra, probability, and statistics for late elementary, middle, and early high school teachers.
- Eastern Shore
Consortium/Math Partnership Grant Program (delivered with Dr. Jennifer Bergner)
- June 19, 20, 23, 24, and 25, 2008. This workshop focused on algebra,
fractions, and statistics for elementary and middle school teachers. Teachers
from six
- Technology and Mathematics - (Delaware Professional
Development Cluster). Proposal written with Dr. Jennifer
Bergner and approved by the Delaware Professional Standards Board in spring
2007.
- Eastern Shore Consortium/Math
Partnership Grant Program (delivered with Dr. Jennifer Bergner) - June 21, 22,
25, 26, and 27 2007. This workshop focused on algebra for middle school
teachers. Teachers from six
- Real World Mathematics Applications for the 21st Century (Delaware Professional Development Cluster). Proposal written with Dr. Jennifer Bergner and approved by the Delaware Professional Standards Board. Corresponding workshop delivered on July 19, 20, 24, 26, and 27, 2006 with Bergner.
- Eastern Shore
Consortium/Math Partnership Grant Program (delivered with Dr. Jennifer Bergner)
- June 22, 23, 26, 27, and 28 2006. This workshop focused on algebra for middle
school teachers. Teachers from six
- The PascGalois Summer
Undergraduate Research Retreat, New
- PRIME Geometry Workshop (delivered with Drs. Jennifer
Bergner and Kurt Ludwick) July 25 July 29 and August 2 August 6, 2004.
PRIME is a Title II Partnership grant, federally funded, with
- The PascGalois Summer
Undergraduate Research Retreat, New
- PRIME Geometry Workshop (delivered with Drs. Jennifer
Bergner and Kurt Ludwick) July 26 July 30 and August 1 August 5, 2005. PRIME
is a Title II Partnership grant, federally funded, with
Presentations
Building a Noncommutative Ring from a Finite Directed Graph, Joint
AMS/MAA National Meetings, New Orleans. Jan. 6, 2011.
Building a Robust
STEM Pipeline. Presented
at the Potomac & Chesapeake Association for College Admission Counseling.
Salisbury University, Nov. 16, 2010.
"Effective teaching when the class's ability
distribution is bimodal." Section NExT panel discussion session at the fall meeting of the
MD/DC/VA Section of the MAA. Member of a 3 person panel which met at
George Mason University on Saturday, November 6 2010.
The Seven Bridges of Kφnigsberg,
invited talk for the Stephen Decatur High School Mu Alpha Theta
Induction Ceremony, April 27, 2010.
Global Properties of Linear Finite Cellular Automata, Invited SIAM Lecture at Texas Tech University, March 25, 2010.
The Seven Bridges of Kφnigsberg, invited
talk for the Bennett High School Mu Alpha Theta Induction Ceremony, March
18 2009.
From Groups to Graphics Stories of Undergraduate Research in Visualizing Abstract Mathematics, invited talk for the Haimo award session, Joint AMS/MAA National Meetings, Washington DC. Jan. 7, 2009.
"The PascGalois Project: Visualizing Abstract Mathematics", presented with Donald Spickler and Kathleen Shannon at the MAA Poster Session: Projects Supported by the NSF Division on Undergraduate Education, Joint AMS/MAA National Meetings, Washington DC. Jan. 6, 2009.
"The PascGalois Project: Visualizing Abstract Mathematics", presented with Donald Spickler and Kathleen Shannon at the MAA Poster Session: Projects Supported by the NSF Division on Undergraduate Education, Joint AMS/MAA National Meetings, San Diego. Jan. 7, 2008.
Visualizing Binomial Identities Using PascGaloisJE, presented in the MAA Special Session on Applications of Discrete Mathematics at the Joint AMS/MAA National Meetings, New Orleans. Jan 8, 2007.
"The PascGalois Project: Visualizing Abstract Mathematics", presented with Kathleen Shannon at the MAA Poster Session: Projects Supported by the NSF Division on Undergraduate Education, Joint AMS/MAA National Meetings, New Orleans. Jan. 6, 2007.
"The PascGalois Project: Visualizing Abstract Mathematics", presented with Kathleen Shannon at the MAA Poster Session: Projects Supported by the NSF Division on Undergraduate Education, Joint AMS/MAA National Meetings, San Antonio. Jan. 14, 2006.
Prime: Partnership for Revitalized Instruction in Mathematics Education, presented with Jennifer Bergner in the MAA Special Session on Professional Development Programs for K--12 Teachers at the Joint AMS/MAA National Meetings, San Antonio. Jan 13, 2006.
PascGalois Summer Research Retreat at
Number Theoretic Applications to Group Generated Cellular Automata, presented with Tyler Evans in the MAA Special Session on Number-Theoretic Applications at the Joint AMS/MAA National Meetings, San Antonio. Jan 12, 2006.
"The PascGalois Project: Visualizing Abstract Mathematics", presented with Kathleen Shannon at the MAA Poster Session: Projects Supported by the NSF Division on Undergraduate Education, Joint AMS/MAA National Meetings, Atlanta, Georgia. Jan 7, 2005.
The PascGalois Project: Visualization in Abstract Mathematics, presented at the NSF CCLI conference Invention and Impact: Building Excellence in Undergraduate STEM Education, Crystal City, VA. April 16, 2004.
The PascGalois Project: Visualization in Abstract Mathematics,
NSF CCLI SIGCSE Showcase 04,
Fractal Dimension
and Iterated Automorphism Systems, presented in
the Special MAA Session on Chaotic Dynamics and Fractal Geometry at the Joint
AMS/MAA National Meetings,
"The PascGalois Project:
Visualizing Abstract Algebra", presented with Kathleen Shannon at the
MAA Poster Session: Projects Supported by the NSF Division on Undergraduate
Education, Joint AMS/MAA National Meetings, Phoenix, Arizona.
"Using Groups to Generate Automata", with
Kathleen Shannon, presented at AMS-MAA Joint Mathematics Meetings,
"The PascGalois Project:
Visualizing Abstract Algebra", presented with Kathleen Shannon at the
MAA Poster Session: Projects Supported by the NSF Division on Undergraduate
Education, Joint AMS/MAA National Meetings, Baltimore, MD.
The PascGalois Project:
Visualization Projects for Abstract Algebra",
with Kathleen Shannon and Cynthia Woodburn, presented at AMS-MAA Joint
Mathematics Meetings, Baltimore, MD.
"Cellular Automata and Discrete Dynamical Systems", invited
lecture for the Associated Colleges of
"The Geometry of Group Generated Cellular Automata",
colloquium talk given with Kathleen Shannon at
"The PascGalois Project: Visualizing Abstract Algebra", presented with Kathleen Shannon at the MAA Workshop for NSF PI's, NSF Headquaters, March 2002.
"The PascGalois Project: Visualizing Abstract Algebra", presented with Kathleen Shannon at the MAA Poster Session: Projects Supported by the NSF Division on Undergraduate Education, Joint AMS/MAA National Meetings, San Diego, CA., Jan. 8, 2002.
"Establishing a Long Term Undergraduate Research
Program in Mathematics", presented at the Joint AMS/MAA National
Meetings,
"Institutionalizing Undergraduate Research ",
led Teaching Learning Network roundtable discussion at
"Groups, Fractal Patterns, and the Dynamics of Cellular Automata ", with Kathleen Shannon, presented at the Joint AMS/MAA National Meetings, New Orleans, LA., Jan. 10, 2001.
"PascalGT: Conjectures, Explorations, and Reasoning in Mathematics ", with Kathleen Shannon, presented at the Joint AMS/MAA National Meetings, New Orleans, LA., Jan. 13, 2001.
"Hit Counting Algorithms for 2-D Cellular Automata", with Brian Guarraci, presented at the Regional Fall MAA Meeting at American University, Washington, D.C., Nov. 18, 2000.
"Writing in Mathematics: Constructing Definitions
", Writing Across the Curriculum Workshop at
"Groebner Bases
and Hochschild Cohomology
", presented at the AMS-IMS-SIAM Summer Research Conference on Symbolic
Computation: Solving Equations is Algebra, Geometry, and Engineering,
"Emerging Technology and 3-D Graphics ", Faculty Week Series in the
"Automorphisms,
Subnormal Series, and Group Generated Cellular Automata ", Mid
Atlantic Algebra Conference,
"Life, Death, and the Six States In-Between
", with Kathleen Shannon, 11th Annual Eastern Shore Computer Bowl,
"Fractal Dimensions For
Group Generated Cellular Automata ", with Kathleen Shannon, Joint
AMS/MAA National Meetings,
"Planned Projects Using 3-D Rendering Software
", with Kathleen Shannon, Faculty Week Series in the
"The PascGalois
Project: Computer Visualizations ", with Kathleen Shannon, presented
at the Henson School Seminar Series, Salisbury State University, December 2,
1999.
"Fractal Dimensions in the PascGalois
Triangle ", with Kathleen Shannon, presented at the Regional Fall MAA
Meeting at
"Searching For a Mathematical Definition",
presented at the Writing Across the Curriculum Mini Conference: Writing,
Critical Thinking and Reflective Teaching at
"Introducing Liberal Arts Students to the Beauty of
Abstract Mathematics via Computer Graphics, Groups, and Pascal's Triangle
", with Kathleen Shannon, presented in the MAA Session Ethical,
Humanistic, and Artistic Mathematics at the Joint National AMS/MAA
Meetings in
"Using Pascal's Triangle to Visualize Abstract
Algebra Concepts", with Kathleen Shannon, presented in the MAA Session
Innovations in Teaching Abstract Algebra at the Joint National AMS/MAA
Meetings in
"Using Computer Graphics to Investigate Group
Structure", with Kathleen Shannon, presented at the Regional Fall MAA
Meeting at
"The Robot Who Knows Algebra", with Robert
Tardiff, 15th
"Cohomology Rings
for Cycle Algebras", Workshop on Rings and Representations,
June 8-June 12,
"Cohomology for Z(m) Cycles" , given at the Mid Atlantic Algebra
Conference, May 1-
"Calculus for Jerks", with Paula Kenyon,
presented at the Joint AMS/MAA National Meetings in
"Invariants of Brauer
Tree Algebras", presented at the Joint AMS/MAA National Meetings in
"Computational Techniques for Hochschild
Cohomology", presented at the AMS-IMS-SIAM
Joint Research Conference at the
"Graphs, Groebner Bases,
and Noncommutative Rings", colloquium talk
given at
"A Lifted Groebner Basis
for the Enveloping Algebra", presented at the 22nd
Holiday Mathematics Symposium at
"Symmetry in Mathematics and Nature", presented
at the 13th Annual High School Mathematics Contest,
"Low Dimensional Cohomology
and the Euler Characteristic", Invited talk for the Rings and Modules
Special Session at the AMS regional meeting,
"Hochschild Cohomology of Monomial Algebras", presented at the
AMS-MAA Joint Mathematics Meetings,
"Calculated Electric Dipole Contribution to the He Giant Resonance", Poster presented at the Third National Conference on Undergraduate Research, San Antonio, Texas ( May 1989).
Other Conferences and Workshops Attended & Student Presentations
Attended the MD/DC/VA Sectional Spring Meeting of the MAA Virginia State University. Accompanied my student Katie Walsh who presented The Dynamics of Finite Cellular Automata with Null Boundary Conditions. Katie won second place in the student presentation category.
Attended the MD/DC/VA Sectional Spring
Meeting of the MAA Roanoke College, Salem Va. April 14, 2007.
2006 NCUR, Asheville NC. Accompanied my students Aaron Churchill
who presented Life and Death of a Finite
1-D Cellular Automata and Jonathon Miller who presented Fractal Dimensions of Infinite Cellular
Automata.
2005 NCUR, Lexington Va. Accompanied my student Lauren Eckert who presented Measuring Fractal Dimensions of Cellular Automata in 2D & 3D Space.
Central Virginia Regional Undergraduate Research Mathematics Conference, January 2005, University of Mary Washington. Accompanied my student Lauren Eckert who presented Measuring Fractal Dimensions of Cellular Automata in 2D & 3D Space.
2004 Joint AMS/MAA
National Math Meetings, Phoenix, Arizona. Accompanied Brenda Russo who presented Calculating Dimension of Discrete Dynamical Systems Using Iterated Automorphism Systems in the MAA Undergraduate Poster
Session.
2003 Math Fest, Boulder Co. Accompanied my student Brenda Russo who presented Algebraic Structures and the Long-term Behavior of Discrete Dynamical Systems. Brenda won an award from Pi Mu Epsilon for outstanding paper.
2003 NCUR University of Utah. Accompanied my student April Calloway who presented Information Entropy in Discrete Dynamical Systems.
2003 Attended the MAA Minicourse:
Cwatsets: A Research Experience for
Undergraduates, at the Joint AMS/MAA National Math Meetings in
2003 Attended the MAA Minicourse:
Getting Students Involved in Undergraduate Research, at the Joint
AMS/MAA National Math Meetings in
2002 Summer Math Fest, Burlington, VT. Accompanied my student Nicole Miller who presented "The Evolution Homomorphism and Classification of Cellular Automata".
2002 NCUR University of Wisconsin, Whitewater. Accompanied my student Stephan Gymnich who presented "State Transition Diagrams for Group Generated Automata."
2001 Summer Math Fest, University of Wisconsin, Madison. Accompanied my student Nicole Miller who presented "Periodicity and Long-Term Evolution of Cellular Automata".
2001 CUR on Capital Hill. Accompanied my student Nicole Miller who presented "Periodicity and Long-Term Evolution of 2-D Cellular Automata". Nicole was one of 68 students chosen nationally to present to members of the Congress and Senate.
2001 NCUR University of Kentucky. Accompanied my student Nicole Miller who presented "Periodicity and Long-Term Evolution of 2-D Cellular Automata".
CUR Institute, Institutionalizing Undergraduate Research, Coastal Carolina University, Oct. 20 - 22, 2000. Attended with Dean Tom Jones and Dr. E.J. Crane and developed an SSU plan for institutionalizing undergraduate research.
2000 NCUR University of Montana, Accompanied my student Dan Winter who presented "Modeling Cellular Automata Using Virtual Reality and Animations".
2000 Microsoft Certified Education Center, completed course Programming with Microsoft Visual C++ given by ObjectArts Inc.
2000 Attended the MAA Mini course entitled Exploring
Abstract Topics Through Interactive Labs at the
Joint AMS/MAA National Meetings in
1999 NCUR University of Rochester, New York. Accompanied my student Bianca Townsend who presented " Self-Similar Patterns in Pascal's Triangle Under Cyclic Group Multiplication ".
1998 NCUR Salisbury State University, Salisbury Maryland. Special Session Moderator and accompanied my student Randy Cone who presented "On the Edge: Visual Representations of Digraphs with Java".
1998 Advanced Writing Across the
Curriculum workshop,
1998 Attended the MAA Mini course entitled Polynomial
Algebra at the Joint AMS/MAA National Meetings in
1997 MAA Regional Fall Meeting, Mount Saint Mary's College.
1997 NCUR ( National Conference on
Undergraduate Research )
1996 Writing Across the Curriculum
workshop,
1996 MAA Regional Fall Meeting, Hood College. Accompanied my
student Paula Kenyon who presented "Jerk: The Third Derivative".