Department of Mathematics

California Polytechnic State University

San Luis Obispo, CA 93407

www.calpoly.edu/ ~brichert

brichert@calpoly.edu

- University of Illinois, Urbana-Champaign

- May 2000, Ph.D., Mathematics.

Specialty: Commutative Algebra. - Wheaton College

- Aug. 1995, B.S.

Major: Mathematics/Economics.

- NSF VIGRE postdoctoral fellowship. May 2003 - June 2003, Sept. 2001 - May 2002.
- Rackham Faculty Fellowship. May 2002--June 2002.
- Department of Education GAANN Fellowship. Jan. 1997--May 1997, Sept. 1998--Dec. 1998, Sept.1999--Dec. 1999.
- Wheaton College Class Scholarship. Aug. 1992--May 1993, Aug. 1993--May 1994, Aug. 1994--May 1995.

- Smallest Graded Betti Numbers, J. of Alg., 244 (2001), no. 1, 236-259.
- Possible resolutions for a given Hilbert function, with E. Graham Evans, Comm. Alg., 30 (2002), no. 2, 897--906.
- A Study of the Lex Plus Powers Conjecture, to appear J. of Pure and Applied Alg.
- Lower Bounds for Betti Numbers, with Mel Hochster. to appear, J. of Pure and Applied Alg.
- Monomial Ideals and N-Lists, submitted to Il. J. of Math.
- Szygyies of Semi-Regular Sequences, joint with Keith Pardue, in progress.

- Route 81 Conference on Commutative Algebra and Algebraic Geometry, Queens University, Kingston, Ontario, Canada, Oct. 2002.
- Algebraic Geometry Seminar, University of Notre Dame, April 2002.Commutative Algebra Seminar, University of Illinois, Urbana-Champaign, Feb. 2002.
- Undergraduate Math Club, University of Michigan. Jan. 2002.
- Joint Mathematics Meetings, San Diego, California, Jan. 2002.
- Route 81 Conference on Commutative Algebra and Algebraic Geometry, University at Albany, SUNY, Nov. 2001.
- Student Commutative Algebra/Algebraic Geometry Seminar, University of Michigan, Nov. 2001.
- Student Commutative Algebra/Algebraic Geometry Seminar, University of Michigan, April 2001.
- Route 81 Conference on Commutative Algebra and Algebraic Geometry, Cornell University, Oct. 2000.
- Commutative Algebra Seminar, University of Michigan, Sept. 2000.AMS Sectional Meeting, Special Session on Syzygies, Lowell, Massachusetts, April 2000.
- Route 81 Conference on Commutative Algebra and Algebraic Geometry, Syracuse University, Oct. 1999.
- Commutative Algebra Seminar, University of Illinois at Urbana-Champaign, Feb. 1999.
- Commutative Algebra Seminar, University of Illinois at Urbana-Champaign, April 1998.

- Joint Mathematics Meetings, Phoenix, 2004.
- Joint Mathematics Meetings, Baltimore, 2003.
- CBMS Lecture Series: Solving systems of Polynomial Equations, Texas A&M University, College Station, Texas, May 2002.
- AMS Sectional Meeting, Special Session in Commutative Algebra, University of Michigan, Ann Arbor, Michigan, March 2002.
- CoCoA VII Conference, Queens University, Kingston, Ontario, Canada, July 2001.
- Joint Mathematics Meetings, Washington, D.C, Jan. 2000.
- AMS Sectional Meeting, University of Illinois, Urbana-Champaign, March 1999.
- Route 81 Conference on Commutative Algebra and Algebraic Geometry, Queen's University, Kingston, Ontario, Oct. 1998.
- Summer Program for Graduate Students of MSRI Sponsoring Institutions: Algorithmic Algebra and Geometry. Berkeley, California, July 1998.
- Midwest Topology Seminar, University of Illinois, Urbana-Champaign, March 1997.

- Linear Algebra -- undergraduate, Fall 2002, U. of M.
- Commutative Algebra II -- graduate level, Spring 2002, U. of M.
- Commutative Algebra I -- graduate level, Fall 2001, U. of M.
- Applied Modern Algebra -- undergraduate, Spring 2001, U. of M.
- Calculus II -- undergraduate, small group learning format, Spring 2001, Fall 2000, U. of M.
- Calculus with {\it Mathematica -- calculus taught using the software
package
*Mathematica*, Spring 2000, U. of I. - Business Calculus -- lectured to over 200 students and supervised 6 graduate TAs, Spring 1999. Taught small lecture sections in Fall 1996, Spring 1996, and Fall 1995, U. of I.
- Calculus I -- small lecture section format, Summer 1998; small group learning format, Spring 1996, U. of I.
- Algebra -- small group learning format, Spring 1998, Summer 1997, U. of I.
- Elementary Linear Algebra with Applications -- ran review sections and graded exams, Fall 1997, U. of I.

- Summer 2003: Supervisied two Cal Poly undergraduates working on the Buchsbaum-Eisenbud-Horrocks conjecture. Quite some progress was made on cyclic Gorenstein quotients with restricted Hilbert functions.
- Fall 2002: Supervised two University of Michigan undergraduatess working on the Lex-Plus-Powers conjecture for Hilbert functions. Several possible combinatoric descriptions of the general conjecture were ruled out.
- Spring 2002: Supervisied a University of Michigan undergraudate doing beginning work on the Lex-Plus-Powers conjecture for Hilbert functions.

Experienced teaching and researching using the TI-82 and TI-83 Plus calculators, the computer algebra system Macaulay II, and Mathematica.

- Referee for the Journal of Algebra.
- Referee for the Proceedings of the American Mathematical Society.
- Reviewer for Math Reviews.
- Thesis Committee Member for Haggai Elitzur, Spring 2003.
- Oral Preliminary Committee Member for Hai Long Dao, Spring 2003.
- Oral Preliminary Committee Member for Geoffrey Dietz, Fall 2002.
- Attended Issues in K-12 Mathematics Education seminar -- University of Illinois, Urbana-Champaign, Spring 1999.

- American Mathematical Society.
- Member of the Association of Christians in the Mathematical Sciences.

I enjoy hiking, and camping with my lovely wife, playing basketball, lifting
weights, and generally being/working outside. Woodworking is my newest hobby,
and it partially satiates my desire to build things. I also attend a local
church where I help out in any way that I can.