Andrew Stout
Associate Professor
Mathematics
EMAIL: astout@bmcc.cuny.edu
Office: N-563
Office Hours: In-Person: N563 (T/Th 6:15-7:15PM) & Online: Email (T/Th 7:15-8:15PM)
Phone: +1 (212) 776-6493
Expertise
Algebraic Geometry, Commutative Algebra, Computer Algebra, Combinatorics
Degrees
Ph.D., Mathematics, CUNY Graduate Center (2014)
M.A., Mathematics, CUNY Gradaute Center (2011)
B.Sc., Mathematics, NC State University (2008)
Courses Taught
- This course covers the standard material comprising an introduction to group and ring theory: set theory and mappings; groups, normal subgroups, and quotient groups; Sylow's Theorem; rings, ideals, and quotient rings, Euclidean rings, polynomial rings.
Corequisite: MAT 315
Course Syllabus - This course covers matrices, determinants, systems of linear equations, vector spaces, eigenvalues and eigenvectors, Boolean algebra, switching circuits, Boolean functions, minimal forms, Karnaugh maps.
Prerequisite: MAT 302, or permission of the department
Course Syllabus - This is an integrated course in analytic geometry and calculus, applied to functions of a single variable. It covers a study of rectangular coordinates in the plane, equations of conic sections, functions, limits, continuity, related rates, differentiation of algebraic and transcendental functions, Rolle's Theorem, the Mean Value Theorem, maxima and minima, and integration.
Prerequisite: MAT 206 or MAT 206.5
Course Syllabus - This course covers statistical concepts and techniques with applications. Topics include probability, random variables, the binomial distribution, the hyper-geometric distribution, measures of central tendency, the normal distribution, precision and confidence intervals, sample design and computer projects.
Prerequisite: MAT 206 or MAT 206.5
Course Syllabus - This course covers basic statistics, including: measures of central tendency, measures of dispersion, graphs, correlation, the regression line, confidence intervals, the significance of differences, and hypothesis testing, including z-tests, t-tests, and chi-square tests.
Prerequisites: MAT 12, MAT 14, MAT 41, MAT 51 or MAT 161.5
Course Syllabus - This course is the second algebra course offered at the college. It is open to students who have completed elementary algebra or its equivalent. It includes such topics as: factoring, solutions of linear and quadratic equations, trigonometric relationships, exponents, logarithms, and the graphs of quadratic equations.
Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.
Course Syllabus - This course is a combination of elementary algebra and intermediate algebra including trigonometry. It includes such topics as properties of real numbers, polynomials and factoring, equations and inequalities in one and two variables, systems of linear equations and inequalities, rational expressions and functions, rational exponents and roots, quadratic functions, exponential and logarithmic functions, and an introduction to trigonometry. This course is recommended for eligible students that wish to take a one-semester accelerated path to MAT 206. Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.
Course Syllabus
Research and Projects
Current Research Interests:
- Generalizing Kolchin’s Irreducibility Theorem through the notion of the regulated asymptotic defect coming from generalized jet schemes.
- Calculations of deformed motivic volumes coming from mixed-arc spaces: developing the notion of an incompressible algebraic variety and its relation to the birational geometry of algebraic varieties.
- The connection between the non-reduced structure of mixed auto arc spaces, integer partitions, and combinatorial identities such as the Rogers-Ramanujan identities.
- Rationality of the auto Igusa zeta function for general hypersurface singularities and its relationship with the motivic Igusa zeta function.
- Using the Gini coefficient to rank AI systems.
- The use of machine learning, artificial intelligence, computer algebra to solve problems in commutative algebra and algebraic geometry.
- Developing Statistical Apps in Python to aid in student’s comprehension of concepts in introductory statistics.
Publications
Stout, A.R. (2023) Auto-arcs of complete intersection varieties. Arxiv.org Preprint: https://arxiv.org/abs/2309.14656
Under Review at Journal of Algebra
Stout, A. R. (2019). The auto Igusa-zeta function of a plane curve singularity is rational. Proc. Amer. Math. Soc. 147 (2019), 1825-1838, https://doi.org/10.1090/proc/13183 Preprint: https://arxiv.org/abs/1506.02316
Stout, A. R. (2019). Formal deformations of algebraic spaces and generalizations of the motivic Igusa-zeta function. Contemp. Math., Vol. 724, pages 137 – 147, (2019) https://doi.org/10.1090/conm/724 Preprint: https://arxiv.org/abs/2309.14654
Stout, A. R. (2017). On the auto Igusa-zeta function of an algebraic curve. Journal of Symbolic Computation. Volume 79, Part 1, 2017, Pages 156-185, https://doi.org/10.1016/j.jsc.2016.08.011 Preprint: https://arxiv.org/abs/1406.6083
Stout, A. R. (2017, Sept. 2017). The auto Igusa-zeta function of a plane curve singularity is rational. Special Session on Algebraic Curves and their Applications, American Mathematical Society, Fall Southeastern Sectional Meeting, University of Central Florida Orlando, FL, United States. https://www.ams.org/amsmtgs/2246_abstracts/1133-14-329.pdf
Stout, A. R. (2014). Motivic Integration over Nilpotent Structures. PhD Thesis. CUNY Academic Works. https://academicworks.cuny.edu/gc_etds/499/
Honors, Awards and Affiliations
Creating Data Science Pathways for STEM Student Success Grant, #40K76-00 01 (Summer 2023)
PSC-Grant Traditional A, #66024-00 Cycle 54 (Summer 2023)
PSC-Grant Traditional B, #60784-00 Cycle 48 (Fall 2017)
Chateaubriand Fellowship: Université Pierre and Marie Curie (Now Sorbonne Université) (AY 2012)
Graduate Teaching Fellowship: CUNY Graduate Center (2008-2012)
