University of Illinois at Urbana-Champaign

- The Mathematical Enquirer,
*The Mathematical Intelligencer*,**6**(4) (1984), 46. - Review of "A problem seminar" by Donald J. Newman,
*Bull. Amer. Math. Soc.***11**(1984), 223-227. - Chalking it up: advice to a new TA, 14 pp., Random House Birkhäuser, 1985.
- Daysong (poem on the retirement of M.M. Day),
*Contemp. Math.***52**(1986), 170-171. - #3., reprinted in "Keys to Improved Instruction by Teaching Assistants and Part-Time Instructors " (Bettye Anne Case ed.), MAA Notes No. 11, 1988, pp.99-113.
- (with Bob McEliece and Hal Fredricksen) Hooray for calculus (song parody),
*Mathematics Magazine*,**61**(1988), p.147. - A set is a set (song parody), Mathematics Magazine, 66 (1993), p.95.
- Some Thoughts on Writing for the Putnam, "Mathematical Thinking and Problem Solving", A. Schoenfeld ed., Erlbaum, 1993, 19-29.
- Chalking it up: advice to a new TA, 16 pp., 2nd edition, HarperCollins, 1994.
- Chalking it up: advice to a new TA, 16 pp., 3nd edition, 1999, downloadable at https://math.uiuc.edu/~reznick/ciu.html.
- Resources for research, 1999 (often updated), downloadable at https://math.uiuc.edu/~reznick/rfr.html
- What makes a good teacher? Where does research fit in?,
*Caltech News*,**34**(2000), pp1,11,24 - #8, slightly revised, reprinted in "The William Lowell Putnam Mathematical Competition: 1985--2000 Problems, Solutions and Commentary", Kiran S. Kedlaya, Bjorn Poonen, Ravi Vakil, MAA, 2002, pp. 311 - 320, downloadable at https://math.uiuc.edu/~reznick/putnam.html
- Integer Points in Polyhedra -- Geometry, Number Theory, Algebra,
Optimization (A. Barvinok, M. Beck, C. Haase, B. Reznick, V. Welker eds.)
*Cont. Math.***374**(2005) xii+191 pp. (MR 2005j:00018). - #10, translated into Polish by Magdalena Jaroszewska and Jan
Jaroszewski, 2002, reprinted in
*Wiadomosci Matematyczne*XL (2004), in 2005. - The ten commandments for mathematicians, in
*MAA Focus***26;5**, May/June 2006, p. 14. - One introduction to mathematical research,
*Math Horizons*, Nov. 2006, pp. 16-17, 38. Somewhat longer version downloadable at https://math.uiuc.edu/~reznick/mhori.pdf - Review of
*From Zero to Infinity, 50th Anniversary Edition*,*Notices of the Amer. Math. Soc.*,**54;2**Feb. 2007, 230-233. - (With G. Gordon, D. Kalman. L. McMahon, R. B. Nelson) The
Mathematical Enquirer,
*Math Horizons*, Apr. 2007, pp. 17-20. -
Integer Points in Polyhedra--Geometry, Number Theory,
Representation Theory, Algebra, Optimization, Statistics, (M. Beck, C. Haase, B. Reznick, M. Vergne, V. Welker,
R. Yoshida eds.)
*Cont. Math.***452**(2008) xi+187pp. - #17, translated into Chinese, to appear in
*Math. Adv. Transl.*. - #10, on flooved http://www.flooved.com/reader/3449#1
- What does ``>'' really mean?, Snapshots of modern mathematics from Oberwolfach, no. 4/2014, doi: 10.14760/SNAP-2014-004-EN, 8pp.
- Extended abstract for MFO Workshop 1710 -- Real Algebraic Geometry With a View Toward Moment Problems and Optimization, March 2017, 3pp
- Extended abstract for MFO Workshop 2010 -- Real Algebraic Geometry With a View Toward Hyperbolic Programming and Free Probability, March 2020, 2pp