Pedro Teixeira

Years at Knox: 2006 to present

Education
Ph.D., 2002, Brandeis University.
M. S., 1996, University of Sao Paulo.
B. S., 1994, University of Sao Paulo.

Selected Professional Accomplishments

Publications
"p-Fractals and Power Series-II. Some Applications to Hilbert-Kunz Theory." Co-authored with Paul Monsky. Journal of Algebra 304 (2006): 237-255.

"p-Fractals and Power Series-I. Some 2 Variable Results." Coauthored with Paul Monsky. Journal of Algebra 280 (2004): 505-536.

"p-Fractals and Hilbert-Kunz Series." Ph.D. Thesis, Brandeis University, 2002.

Presentations

Syzygy gap fractals and F-threshold functions," AMS Western Spring Sectional Meeting-University of New Mexico, Special Session on Commutative Algebra, Albuquerque, NM, April 2014.

"Syzygy gap fractals and F-threshold functions," Commutative Algebra Seminar, University of Utah, Salt Lake City, UT, December 2014.

"Triple Resultants and the Explicit Calculation of Certain Hilbert-Kuns Series." AMS Fall Eastern Section Meeting, Rutgers University, 2007.

"Fractal Patchwork Quilts - Colorful Surprises in the World of Algebra." Knox College, Galesburg, Illinois and Mathematics Colloquium, Beloit College, Beloit, Wisconsin, 2007.

"Automatic Geometric Theorem Proving - Teaching Computers How to do Proofs." Honors Calculus Seminar Series, Beloit College, Beloit, Wisconsin, 2007.

"Googling With Linear Algebra." San Antonio Joint Meetings, Mathematics and Pop Culture Session, 2006.

"p-Fractals and Hilbert-Kunz Functions." Conference in honor of Paul Monsky, Brandeis University, Waltham, Massachusetts, 2005.

"Googling With Eigenvalues." Hudson River Undergraduate Mathematics Conference, Williams College, Williamstown, Massachusetts, 2005.

"Results on Resultants." Union College Undergraduate Mathematics Seminar, 2005.

"p-Fractals and the Rationality of Certain Hilbert-Kunz Series." Capital Region Algebra and Number Theory Seminar, 2003.

"Polynomials, Power Series and p-Fractals." Capital Region Algebra and Number Theory Seminar, 2003.

"p-Fractals and Hilbert Kunz Series." University of São Paulo, São Carlos, Brazil, 2002.

"Rational Points of Algebraic Curves Over Finite Fields." Second Year Seminar, Brandeis University, Waltham, Massachusetts, 1998.

Campus & Community Involvement
Co-organizer, Ungergraduate Mathematics Seminar, Union College.
Coordinator, Preparation Sessions, Putnam Exam Union College.
Co-organizer, Union College Mathematics Conference.