Summary

Skilled mathematician with six years of full time faculty experience in research and teaching committed to solving mathematically oriented problems. Excellent knowledge of applied statistics and their use in problem solving. Demonstrated analytical and organizational skills. Proficient in a variety of programming languages and mathematics software. Proven communications skills, both written and presentation.

Professional Experience

Assistant Professor, Department of Mathematical Sciences, Northern Illinois University, 1999 - 2005.

Maintained an active research program in arithmetic algebraic geometry involving peer-reviewed publications, talks, conferences and seminars. Teaching requirements included seventeen different courses with repeated experience in six of the courses. Examples of the different courses taught include mathematical model building, linear algebra, abstract algebra, ordinary differential equations, advanced calculus, calculus, cryptography, and number theory. Advised the math club and served as a role model for the Women in Science program along with normal service activities (committees, outreach, etc.) to the math department and the university.

University of New Mexico, 1994-1999.

Research Assistant, Department of Mathematics, University of New Mexico, 1997-1999.

Worked on research in arithmetic algebraic geometry, in particular computed isogeny-covariant differential modular forms and the Kodaira-Spencer class of a family of arithmetic curves under the supervision of Alex Buium.

Teaching Assistant, Department of Mathematics, University of New Mexico, 1995-1999.

Taught one course per semester of college algebra and trigonometry, calculus, or differential equations while working on coursework and dissertation research.

Efroymson Research Assistant, University of New Mexico, 1998.

Worked on research for my dissertation. This fellowship is an academic honor awarded to support research by an outstanding graduate student.

Graduate Assistant, Minority Engineering Math and Science Grant, University of New Mexico, 1994-1995.

Tutored minority students from engineering, math, and science in undergraduate mathematics as part of a program to both help retain and increase the number of under-represented students in these areas at the University of New Mexico.

Teaching Intern, Walla Walla Community College---Washington State Penitentiary, 1993.

Provided tutoring and classroom assistance in the adult basic education classroom and the engineering lab at the Washington State Penitentiary.

Professional Certifications

Society of Actuaries, examination P/1 (Probability 1) October 2006. Probability, multivariate distributions, discrete and continuous random variables, moments.

Society of Actuaries, examination FM/2 (Financial Mathematics), November 2006.

Education

Doctorate of Philosophy, Mathematics, University of New Mexico, 1999, Isogeny Covariant Differential Modular Forms, Advisor: Alexandru Buium.

Master of Arts, Mathematics, University of New Mexico, 1995.

Bachelor of Arts, Mathematics and Physics, Whitman College, 1993.

Computer Skills

Applications: Maple, Mathematica, Sage, Magma, MySQL, Kaleidagraph, R, Office Suites including Microsoft.
Scripting and markup languages: HTML/CSS, PHP, Python, Perl, TeX/LaTeX.
Operating Systems: Solaris, MacOSX, Linux, Windows.

Publications

Non-Linear Codes from Points of Bounded Height (with J. Thunder), Finite Fields Appl., Accepted 2005, in press.

Computing Isogeny Covariant Differential Modular Forms, Math. Comp., 74, no. 250, 905-926, 2005.

Zero Loci of Differential Modular Forms, J. Number Theory, 98, no 1, 47-54, 2003.

Isogeny Covariant Differential Modular Forms Modulo p, Compositio Mathematica, 128, no. 1, 17-34, August 2001.

Grants

Fibonacci Triangles, Northern Illinois University URAP, December 2004-May 2005.

Arithmetic Analogs of Differential Algebraic Equations, National Security Agency, January 2003-January 2005.

Presentations

Isogeny Covariant Differential Modular Forms, Algebra Seminar, New Mexico State University, Las Cruces, New Mexico, September 2003.

Computing Differential Modular forms, Applications of Computer Algebra Conference, Special Session on Computational Aspects of Algebraic Curves, Raleigh, North Carolina, July 2003.

Applications of $p$-derivations to Arithmetic Algebraic Geometry, Joint Mathematics Meeting of AMS/MAA, Special Session on Graduate and Postdoctoral Education in Arithmetical Algebraic Geometry, New Orleans, Louisiana, January 2001.

Differential Modular Forms, Colloquium, University of Wisconsin-Milwaukee, October 1999.

Differential Modular Forms, AMS Western Sectional Meeting, Special Session on Diophantine Problems, Las Vegas, Nevada, April 1999.

Isogeny Covariant Differential Modular Forms, AMS Southwestern Sectional Meeting, Special Session on Arithmetic Algebraic Geometry, Tucson, Arizona, November 1998.

Service and Outreach

Advisor for the Mathematical Contest in Modeling teams from NIU, 2005.
Illinois Council of Teachers of Mathematics High School Math Contest proctor, 2000-2005.
NIU Math Club advisor, 2001-2003.
NIU Math Camp, 2001-2002.