Texas A&M University
Department of Mathematics
College Station, TX 77843-3368
Director of Honors Programs in Mathematics
Professor of Mathematics
Professor of Veterinary Integrative Biosciences
Bioinformatics, Biostatistics, Computational Biology, Algebraic K-Theory, Cyclic Homology, Mathematics Education.
Microarray technology provides a way of studying which genes are active in different types of cell tissue, but analyzing the resulting data has many challenges. Unlike traditional statistics in which one has many more replicates than variables, in microarray data there are many more variables (the genes) than there are replicates (the chips or slides), so new statistical methods, or at least ways of pre-processing the data so that traditional means can be used, are needed. I am currently working on useful methods of preprocessing. This need to find ways of analyzing "small samples" (i.e., few replicates) also occurs in studies at the College of Veterinary Medicine, where I analyze data from experiments, often with small samples. So my work in each area compliments the other.
Another and original research hat is in the fields of Algebraic K-Theory and cyclic and Hochschild homologies, where my research has centered on determining the relationships between the K-theory and the homology theories and exploiting these relationships to provide algorithms for computing the K-theory and cyclic homology.
Around 2000, I had interest in Mathematics Education, particularly at the post-seconday level. While I have published no research articles myself, I have been the Ph.D. advisor for two people with Mathematics Education specialty as well as helped design and then "ran", i.e., do the advising for, an MS in Mathematics program for people who want to teach at the secondary and post-secondary levels.
Lately, I've been doing research on what information available from college applications correlates to success in Universiyt honors programs for freshman and what would correlates to completing an honors program. At the departmental level, in addition to correlates to success in the math department honors program for incoming freshman, I've been looking at the correlation of the Math Placement Exam and success in the recommended math class the student's first semester in hopes of improving our advising.
Curriculum Vitae in pdf format.
MATH 629 History of Mathematics - Fall 2005
This course is a web-based course, consisting of readings, homework problems,
a book report, and a term paper. To reach the home page for the course, click
A Survey of Mathematical Problems I - Fall 2006, Fall 2009, Fall 2010, Fall 2013, Fall 2014, and Fall 2015
A Survey of Mathematical Problems is a two semester, first year graduate,
course written for both people interested in teaching and people who
might need help transitioning to graduate work, e.g., because they didn't
have a full mathematics undergraduate major or not all subjects were
offered at their undergraduate school or have been away from school for a
while. We also suspect that the
course may work as a senior seminar course.
The following is the instructor's guide without the solutions to the
exercises and problems. We (Harold Boas and I) are interested
in how the course works for others. We give permission to copy the file
for classroom use as long as you don't make money off of the copies or
publish our work as yours. If you make money off of the copies, send us half.
Instructor's Guide -
Instructor's Guide -
Student's Guide -
The course is written to be done with the students working in groups.
Since we want area high school teachers to take the course, we offer it
once a week for three hours (Thursdays 6-9 pm). In 2004 the course was
taught twice a week for 1 1/4 hours each time, which was also fine,
but we do not recommend using
it in three 50 minute classes per week as the students need time to
mull over problems. In Fall 2006, 2009, 2010, 2013, 2014, and 2015 we offered Math 645 as a distance course. To read the
home page for the course, click here.
A Survey of Mathematical Problems II - Spring 2010 and Spring 2014
This is the second semester of the two semester class described above. Click here for the course home page.
Seminar in Algebra - Spring 2014, 2015, 2016, 2017
This course is a second course in Abstract Algebra and is offered at the Masters level. There is a prerequisite of at least one semester of undergraduate abstract algebra, i.e., either groups, quotient groups, and group homomorphisms, or rings, quotient rings, and ring homomorphisms, or Math 645-646. The prerequisites will not be waived. As a master's level course, it will go quickly, with 2-4 sections a week and substantial homework. However, the difficulty of the homework will not be at the Ph.D. level for which the book could be used. Click here for the course home page.
Independent Study in Algebra II - Spring 2016
This course is the second semester of Seminar in Algebra and covers group actions and the Sylow Theorems, module theory, the rest of field extensions, and Galois theory including the requisite material on solvable groups. Click here for the course home page.
Factoring polynomials with Rational Coefficients
Many courses, from college algebra to graduate algebra, teach or require the
knowledge of factoring polynomial with rational coefficients. Yet many of
the theorems and procedures I learned in high school aren't taught today.
The following link to a .pdf file (see below for a link to Acrobat Reader if
you need it) is a handout I constructed and have used with prospective teachers,undergraduate majors, and graduate students. The handout contains all the proofs, which may be ignored by those interested only in the computational aspects. There are theorems that are unusual but useful in here as well. Factoring Theorems
The handout is copyrighted but you have permission to reproduce it and recoup your costs, but you may not publish it as your own or make money on it. Should you make any profit, send me half :-)
Trying to Make the World a Better Place
Starting in January, 1990 and ending in July, 1994, the Mathematical
Association of America's Committee on the Participation of Women put on
skits at the Winter and Summer Joint Mathematics meetings. These skits are,
we hope, funny and enjoyable but also portray micro-inequities, those small,
usually humorous, injustices that often wear at women because they happen so
frequently. Unfortunately, almost all of them still occur, but perhaps not
as frequently. I hope you will enjoy them too. The following file of the
skits is a .pdf
To open the file you may download the Acrobat
I am a trained mediator and was a member of the board
of directors of the Dispute Resolution Center of the Brazos Valley.
Ph.D., Mathematics, Cornell University,1975
M.S., Mathematics, Cornell University, 1972
B.S., Mathematics, Case Institute of Technology , 1970