Professor, Department of Mathematics
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
Updated March 31, 2022