Professor Michael Anshel's Referee'd Research Publications, 1968-present

(1) Planarity in algebraic systems 
Bull. Am. Math. Soc. 74, 746-748 (1968)
(with J.R.Clay)

(2) Planar algebraic systems: Some geometric interpretations 
J. Algebra 10, 166-173 (1968)
(with J.R.Clay)

(3) The endomorphisms of certain one-relator groups and 
the generalized Hopfian property
Bull. Am. Math. Soc. 77, 348-350 (1971)

(4) On free products of finite Abelian groups. 
Proc. Am. Math. Soc. 34, 343-345 (1972).
(with R.Prener) 

(5) Non-Hopfian groups with fully invariant kernels. I.
Trans. Am. Math. Soc. 170, 231-237 (1972).

(6) Non-Hopfian groups with fully invariant kernels. II. 
J. Algebra 24, 473-485 (1973). 

(7) The solvability of the conjugacy problem for certain HNN groups. 
Bull. Am. Math. Soc. 80, 266-270 (1974)
(with P.Stebe)

(8) Decision problems for HNN groups and vector addition systems. 
Math. Comput. 30, 154-156 (1976).

(9) Conjugate powers in HNN groups. 
Proc. Am. Math. Soc. 54, 19-23 (1976).

(10) The conjugacy problem for HNN groups and
the word problem for commutative semigroups 
Proc. Am. Math. Soc. 61, 223-224 (1976).

(11) Conjugate powers in free products with amalgamation. 
Houston J. Math. 2, 139-147 (1976).
(with P.Stebe)

(12) Vector groups and the equality problem for vector addition systems. 
Math. Comput. 32, 614-616 (1978). 

(13) Decision problems for HNN groups and commutative semigroups. 
Houston J. Math. 4, 137-142 (1978).

(14) Reducibilities among decision problems for HNN groups, 
vector addition systems and subsystems of Peano arithmetic. 
Proc. Am. Math. Soc. 89, 425-429 (1983)
(with K.McAloon)

(15) The complexity of Dehn's algorithm for word problems in groups. 
J. Algorithms 6, 543-549 (1985)
(with B.Domanski)

(16) Applications of the Hardy-Ramanujan partition theory to linear 
diophantine problems. 
J. Ramanujan Math. Soc. (Ramanujan Birth Centenary Special Issue) 
3, No.1, 97-110 (1988).
(with D.Goldfeld)

(17) Partitions, Egyptian fractions, and free products of finite abelian 
groups. 
Proc. Am. Math. Soc. 111, No.4, 889-899 (1991).
(with D.Goldfeld)

(18) From the Post-Markov theorem through decision problems to 
public-key cryptography. 
Am. Math. Mon. 100, No.9, 835-844 (1993).
(with I.Anshel) 

(19) Zeta functions, one-way functions, and pseudorandom number generators. 
Duke Math. J. 88, No.2, 371-390 (1997).
(with D.Goldfeld)

(20) An algebraic method for public-key cryptography. 
Math. Res. Lett. 6, No.3-4, 287-291 (1999).
(with I.Anshel,D.Goldfeld)

(21) New Key Agreement Protocols in Braid Group Cryptography.
in D.Naccache (ed), Topics in Cryptology- CT-RSA 2001,
LNCS 2020 Springer-Verlag (2001) pp. 13-27
(with I.Anshel,B.Fisher,D.Goldfeld)

(22) A Fast Lattice-based Polynomial Digital Signature System for
M-commerce, Proceedings of SPIE, v.4793, (2003) pp. 52-56
(with Xinzhou Wei, Lin Leung)

(23) Non-Abelian Key Agreement Protocols
Discrete Applied Mathematics, 130 No.1, 3-12 (2003) 
(with I. Anshel, and D. Goldfeld)

(24) A Group Theoretic Approach to Public-Key Cryptography
in DIMACS Series in Mathematics and Theoretical Computer Science 
Volume 64, pp. 17-23. American Mathematical Society (2004)
(with I.Anshel, B.Fisher, D.Goldfeld)

(25) Design of an efficient load balancing algorithm on distributed
networks by Employing symmetric balanced incomplete block design     
IEE Proc-Commmunications, v.151, n.6 (December 2004), pp. 535-538
(with D.Lee, I.Chung)

(26) A Linear Time Matrix Key Agreement Protocol Over Small Finite Fields
Applicable Algebra in Engineering, Communication and Computing,
Springer Verlag Press, (2006)
(with I.Anshel, D.Goldfeld)

(27) Toward Secure Low Rate Wireless Personal Area Networks
IEEE Transactions on Mobile Computing
v.5, n.10, (October 2006), pp. 1361-1373
(with J. Zheng, M.J. Lee)

(28) Key Agreement, the Algebraic Eraser, and Lightweight
Cryptography
in Algebraic Methods in Cryptography, CONM Vol 41 (2006), AMS, pp. 1-38
(with I. Anshel,  D. Goldfeld, S. Lemieux)

(29) The Search for Origins of the Commutator Calculus
(with Anthony M. Gaglione)
in Combinatorial Group Theory, Discrete Groups, and Number Theory,
edited by Benjamin Fine, et al., AMS, (2007), pp. 23-27.