More mathematics

The Zariski-Goldman-Krull theorem (the generalized Nullstellensatz)

Courses

MCS 261, Discrete Mathematics, Fall 2005
Math 514, Number Theory I, Fall 1995
Math 515, Number Theory II, Spring 2000
Math 515, Commutative Algebra, Spring 1998

Papers

[rings] D. J. Bernstein. Commutative rings.

[calculus] 12pp, draft. (retypeset PDF) (type-3 PDF) (PS) (DVI) D. J. Bernstein. Calculus for mathematicians. URL: https://cr.yp.to/papers.html#calculus. Date: 1997.04.03.

[231] 4pp. (PDF) (PS) (DVI) D. J. Bernstein. A non-iterative 2-adic statement of the 3N+1 conjecture. Proceedings of the AMS 121 (1994), 405-408.

[3x1conjmap] 16pp. (retypeset PDF) (type-3 PDF) (PS) (DVI) D. J. Bernstein, J. C. Lagarias. The 3x+1 conjugacy map. Canadian Journal of Mathematics 48 (1996), 1154-1169. URL: https://cr.yp.to/papers.html#3x1conjmap. Date: 1996.02.15.

[abc] D. J. Bernstein, B. E. Kaskel. The ABC polygon.

[dal] D. J. Bernstein. The ubiquitous dal function.

[unipat] 6pp. (retypeset PDF) (type-3 PDF) (PS) (DVI) D. J. Bernstein. A simple universal pattern-matching automaton. URL: https://cr.yp.to/papers.html#unipat. Date: 2000.08.06.

Relevant talks: 1995.11.15, universal pattern-matching automaton.

Reviews

[rev-fournie] (PDF) (PS) (DVI) D. J. Bernstein. Review of M. Fournie, J.-Ph. Furter, D. Pinchon, ``Computation of the maximal degree of the inverse of a cubic automorphism of the affine plane with Jacobian 1 via Groebner bases,'' J. Symbolic Computation 26 (1998), 381-386.

[rev-park] (PDF) (PS) (DVI) D. J. Bernstein. Review of Il-Whan Park, Seok-Won Jung, Hee-Jean Kim, Jong-In Lim, ``Fast operation method in GF(2^n) using a modified optimal normal basis,'' Commun. Korean Math. Soc. 12 (1997), 531-538.

Putnam problems and solutions

[putnam1985] (scanned problems)

[putnam1986] (scanned problems)

[putnam1987] (scanned problems)

[putnam1988] (scanned problems)

[putnam1989] (scanned problems)

[putnam1990] (scanned problems)

[putnam1991] (scanned problems)

[putnam1992] (scanned problems)

[putnam1993] (scanned problems)

[putnam1994] (scanned problems)

[putnam1995] (scanned problems) (my PDF) (PS) (DVI) 1995 Putnam problems and unofficial solutions.

[putnam1996] (scanned problems) (my PDF) (PS) (DVI) 1996 Putnam problems and unofficial solutions, revised.

[putnam1997] (scanned problems) (my PDF) (PS) (DVI) 1997 Putnam problems and unofficial solutions.

[putnam1998] (scanned problems) (my PDF) (PS) (DVI) 1998 Putnam problems and unofficial solutions.

[putnam1999] (scanned problems) (my PDF) (PS) (DVI) 1999 Putnam problems and unofficial solutions.

[putnam2000] (my PDF) (PS) (DVI) Putnam Mathematical Competition, 2 December 2000; solutions, 3 December 2000.

[putnam2001] (scanned problems) (my PDF) (PS) (DVI) Putnam Mathematical Competition, 1 December 2001; solutions, 2 December 2001.

[putnam2002] (scanned problems) (my PDF) (PS) (DVI) Putnam Mathematical Competition, 7 December 2002; solutions, 8 December 2002.

[putnam2003] (scanned problems) (my PDF) (PS) (DVI) Putnam Mathematical Competition, 6 December 2003; solutions, 7 December 2003.

[putnam2004] (scanned problems) (my PDF) (PS) (DVI) Putnam Mathematical Competition, 4 December 2004; solutions (except A5), 6 December 2004.

[putnam2005] (scanned problems) (my PDF) (PS) (DVI) Putnam Mathematical Competition, 3 December 2005; solutions, 4 December 2005.