Anthony van Groningen, Ph.D.
Associate Professor
- Milwaukee WI UNITED STATES
- Walter Schroeder Library: L329
- Mathematics
Dr. Anthony van Groningen's areas of expertise are group theory and algebra.
Education, Licensure and Certification
Ph.D.
Mathematics
University of Wisconsin-Milwaukee
2007
M.S.
Mathematics
University of Wisconsin-Milwaukee
2000
B.S.
Computer Science; Mathematics Minor
University of Wisconsin-Milwaukee
1998
Biography
Areas of Expertise
Accomplishments
Outstanding Service Award for Faculty, University of Wisconsin-Barron County
2009-2010
Oscar Werwath Distinguished Teacher Award, MSOE
2019
Arthur M. Kaplan Teaching Award, University of Wisconsin Colleges
2009-2010
University of Wisconsin-Milwaukee Ernst Schwandt Teaching Award
2004
University of Wisconsin-Milwaukee Chancellor's Graduate Student Award
2003-2005
Graduate Assistance in Areas of National Need (GAANN) Fellow
1998-2003
Research Assistantship funded by University of Wisconsin-Milwaukee Graduate Research Committee Award
2007
Alice Siu-Fun Leung Award in Mathematics, University of Wisconsin-Milwaukee
1998
Affiliations
- American Mathematical Society (AMS) : Member
- Mathematical Association of America (MAA) : Member
Event and Speaking Appearances
Scaling Student Success: Best Practices for Developing Strong Practices in English and Math for ALL Students
WAICU Workshop Presentation Cardinal Stritch University, Milwaukee, WI, February, 2019
Can Typesetting Mathematical Notation Improve Student Learning
Encouraging Effective Teaching Innovation Mathematical Association of America MathFest, Chicago, July, 2017
Visualizations for the Vector Analysis and Differential Equations Classroom
Wolfram Mathematica Conference Carthage College, August, 2016
The cubic, the quartic, and the exceptional group G2
Special Session on Lie Algebras and Representation Theory, AMS Central Section UW-Eau Claire, September, 2014
Lesson Study in a College Algebra Class
International Society for the Scholarship of Teaching and Learning Conference Milwaukee, WI, October, 2011
Research Grants
Tensor Grant (with Dr. Kseniya Fuhrman)
MAA
2014
Lesson Study Grant
University of Wisconsin System Lesson Study Project
2009, 2010
Selected Publications
The Cubic, the Quartic, and the Exceptional Group G2
Developments and Retrospectives in Lie Theory—Algebraic Methodsvan Groningen, A., Willenbring, J.F.
2014
We study an example first addressed in a 1949 paper of J. A. Todd, in which the author obtains a complete system of generators for the covariants in the polynomial functions on the eight-dimensional space of the double binary form of degree (3,1), under the action of SL2 ×SL2. We reconsider Todd’s result by examining the complexified Cartan complement corresponding to the maximal compact subgroup of simply connected split G 2. A result of this analysis involves a connection with the branching rule from the rank two complex symplectic Lie algebra to a principally embedded sl2 -subalgebra. Special cases of this branching rule are related to covariants for cubic and quartic binary forms.
