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Gilbert Baumslag
Phone:(212) 650-5153
Fax:(212) 650-5381
e-mail: gilbert.baumslag@gmail.com
- Recent talks
- Fairfield University February 2007
Vanderbilt University June 2006
- Various professional efforts
- Director of CAISS, the Center of Algorithms and Interactive Scientific Software at CCNY, Organizer of the New York Group Theory Seminar (20 seminars a year), perhaps the foremost research seminar in group theory in the world, organizer of many international group theory meetings, organizer of the CAISS lectures of the Grove School of Engineering and the Division of Science (2 per year)
- Editorial and other work
- Editor: Groups, geometry and dynamics
advisor to the National Science Foundation
Advisor to the Swiss National Science Foundation
Advisor to Israeli International Foundation
Advisor to South African National Science Foundation
Advisor to Killim Fellowships
Advisor to von Humboldt Foundation
Editor of Geometry and Dynamics journal
Author and director of the only software package in the USA devoted to combinatorial group theory, MAGNUS
- Research
- Currently working on research into combinatorial group theory, interface design, zero learning curve software including a package for statistics, new games based on group theory and the involvement of high school students and undergraduates in research. Over 150 research papers, 2 books, 2 monographs.
- Grants
- REU grant $12,500 March 2007
- Recent publications
- 1. Baumslag, Gilbert and Miller C.F. The isomorphism problem for residually torsion-free nilpotent groups, pp. 1–20, Groups, Geometry and Dynamics. volume 1 (2007).
2. Baumslag, G and Miller, C.F., Reflections on some groups of B.H. Neumann Submitted to Bull Australian Math. Soc. pp 1-9
3. Baumslag, G andMiller, C.F., Finitely presented extensions by free groups, J. Group Theory 1–7 (2007).
4. Baumslag, Gilbert, Recognizing powers in nilpotent groups and nilpotent images of free groups, To appear J. Australian Math. Soc.
5. Baumslag, Gilbert and Sean Cleary, Parafree one-relator groups, J. Group Theory, 2006.
6. Gilbert Baumslag, Subspaces, free subgroups and a theorem of Stallings, International Journal Pure and Comput., 17 (2006) 205–217.
7. Gilbert Baumslag, C.F. Miller and D. Troeger, Reflections on the residual finiteness of one–relator groups, Groups, geometry and dynamics. To appear 2007
8. Gilbert Baumslag, B. Fine, A. Gaglione and D. Spellman, Reflections on Discriminating Groups, to appear Journal of Group Theory 2007.
9. Gilbert Baumslag, B. Fine and X. Xu, Cryptosystems Using Linear Groups, To appear Proceedings of Algebraic Cryptography
10. Gilbert Baumslag, Camps, Fine, Rosenberger and X. Xu, Designing Key Transport Protocols Using Combinatorial Group Theory. To appear in Contemporary Mathematics (Proceeding of Algebraic Cryptography – Mainz 2005).
11. Gilbert Baumslag, B. Fine and X. Xu, A Public Key Cryptosystem Using the Modular Group, Baumslag,Fine and Xu, Contempoary Mathematics ( Combinatorial Group Theory, Discrete Groups and Number Theory).
12. Gilbert Baumslag, B. Fine, A. Gaglione and D. Spellman, Malcev Completions and Nondiscrimnation of Nilpotent Groups, Contempoary Mathematics (Combinatorial Group Theory, Discrete Groups and Number Theory.), to appear 2007.
13. Recognizing powers in nilpotent groups and nilpotent images of free groups, to appear Proceedings of the Australian Math. Soc. 2007
14. Groups with the same lower central sequences, L’Enseignement Mathematique, to appear 2007.