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Ben Richert

Ben Richert

Chair

Email: brichert@calpoly.edu
Office Phone: 805-756-1681
Office: 25-208DC
Office Hours*
 

*I am not teaching any courses during the Winter quarter. Office hours by appointment.

 

Education

University of Illinois, Urbana-Champaign
May 2000, Ph.D., Mathematics. Specialty: Commutative Algebra.

Wheaton College
August 1995, B.S. Major: Mathematics/Economics.

Research Interests

Commutative Algebra: Free resolutions, the extremal behavior of Hilbert functions and (graded) Betti numbers, generic behavior, Gorenstein rings.

About

I enjoy proving theorems (of course!), hiking and camping with my wife and our four children, running, lifting weights, and generally being/working outside. Metal and woodworking are my newest hobbies, and these partially satiate my desire to fix and build things. I also attend a local church where I help out in any way that I can.

Current and Past Courses Taught

List of Courses

2019/20

Fall: NA

Winter: NA

Spring: Math 341

2018/19

Fall: NA

Winter: NA

Spring: Math 143

2017/18

Fall: Math 143-05, Math 202, Math 248-04/05

Winter: Math 481

Spring: Math 202, Math 482

2016/17

Fall: Math 143-04/06/11, Math 202

Winter: Math 143-04/07, Math 336

Spring: Math 202, Math 341

2015/16

Fall: Math 142-12/16, Math 202, Math 206

Winter: Math 142-07/09, Math 336

Spring: Math 202, Math 560

2014/15

Fall: Math 142-13/14, Math 202, Math 481

Winter: Math 143-07, Math 248-02/03

Spring: Math 202

2013/14

Fall: Math 142-06/08, Math 202, Math 248

Winter: Math 142-15/17, Math 306

Spring: Math 202, Math 560

2012/13

Fall: Math 142-04/06, Math 248

Winter: Math 143-04/16, Math 336

Spring: Math 202, Math 206

2011/12

Fall: Math 202, Math 244

Winter: Math 161-03/04, Math 481

Spring: Math 482, Math 560

2010/11

Fall: NA

Winter: Math 142-13/14, Math 241-01

Spring: Math 143-04/06, Math 459

2009/10

Fall: Math 141-02/03, Math 248-03

Winter: Math 143-13/14

Spring: Math 341, Math 459-01/03

2008/09

Fall: Math 142-13/16, Math 341-11

Winter: Math 143-06/08, Math 248

Spring: Math 233-03/04, Math 459

2007/08

Fall: Math 141-13, Math 142-11

Winter: Math 142-08/25, Math 306

Spring: Math 142-11, Math 143-04/05

2006/07

Fall: Math 142-11, Math 412-01/02

Winter: Math 142-02, Math 413

Spring: Math 142-01, Math 414

2005/06

Fall: Math 143-02/04, Math 341

Winter: Math 241-01/02

Spring: Math 241-03, Math 459-01

2004/05

Fall: Math 141-02/18 Math 306

Winter: Math 142, Math 406

Spring: Math 241

2003/04

Fall: Math 141, Math 241-10/12

Winter: Math 142-12/14, Math 481

Spring: Math 437, Math 482

At the University of Michigan, Ann Arbor:

Math 116

Math 215

Math 217

Math 312

Math 412

Math 614

Math 615

Publications

List of Publications

A proof of Evans' convexity conjecture. Comm. Algebra 43 (2015), no. 8, 3275–3281. 

An avuncular chat about reviewing for Mathematical Reviews. Notices Amer. Math. Soc. 60 (2013), no. 6, 775–776.

Errata for Syzygies of semi-regular sequences (with Keith Pardue). Illinois J. Math. 56 (2012), no. 4, 1001–1003.

Syzygies of semi-regular sequences (with Keith Pardue). Illinois J. Math. 53 (2009), no. 1, 349–364.

The residuals of lex plus powers ideals and the Eisenbud-Green-Harris conjecture (with Sindi Sabourin). Illinois J. Math. 52 (2008), no. 4, 1355–1384. 

Lex-plus-powers ideals (with Christopher Francisco). Syzygies and Hilbert functions, 113–144, Lect. Notes Pure Appl. Math., 254, Chapman & Hall/CRC, Boca Raton, FL, 2007.

Minimal Betti numbers (with Christopher Dodd, Andrew Marks, Victor Meyerson). Comm. Algebra 35 (2007), no. 3, 759–772 

Lower bounds for Betti numbers of special extensions (with Melvin Hochster). J. Pure Appl. Algebra 201 (2005), no. 1-3, 328–339.

Monomial ideals and n-lists. Illinois J. Math. 48 (2004), no. 2, 391–414.

A study of the lex plus powers conjecture. J. Pure Appl. Algebra 186 (2004), no. 2, 169–183. 

Possible resolutions for a given Hilbert function (with E. Graham Evans). Comm. Algebra 30 (2002), no. 2, 897–906. 

Smallest graded Betti numbers. J. Algebra 244 (2001), no. 1, 236–259.

Monomial ideals, N-lists, and smallest graded betti numbers. Thesis (Ph.D.)–University of Illinois at Urbana-Champaign. 2000. 80 pp. ISBN: 978-0599-76313-5, ProQuest LLC 

https://commalg.org: the website for the commutative algebra community

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