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Mathematics, Statistics, And Applied Mathematics
Prof. Graham Ellis M.Sc.,Ph.D.
Contact Details

Biography:
Book Chapters
Ellis, Graham (2008) 'Homological algebra programming' In: Amer. Math. Soc., Providence, RI. [Details] 
Romero, Ana and Ellis, Graham and Rubio, Julio (2009) 'Interoperating between computer algebra systems: computing homology of groups with Kenzo and GAP' In: ACM, New York. [Details] 
Ellis, Graham and Mohammadzadeh, Hamid and Tavallaee, Hamid (2010) 'Computing covers of Lie algebras' In: Amer. Math. Soc., Providence, RI. [Details] 
Peer Reviewed Journals
Ellis, G. J. and Porter, T. (1986) 'Free and projective crossed modules and the second homology group of a group'. J. Pure Appl. Algebra, 40 (1):2731. [DOI] [Details] 
Ellis, Graham J. (1987) 'Nonabelian exterior products of Lie algebras and an exact sequence in the homology of Lie algebras'. J. Pure Appl. Algebra, 46 (23):111115. [DOI] [Details] 
Ellis, G. J. (1987) 'Nonabelian exterior products of groups and exact sequences in the homology of groups'. Glasgow Math. J, 29 (1):1319. [DOI] [Details] 
Ellis, Graham and Steiner, Richard (1987) 'Higherdimensional crossed modules and the homotopy groups of $(n+1)$ads'. J. Pure Appl. Algebra, 46 (23):117136. [DOI] [Details] 
Ellis, Graham J. (1987) 'The nonabelian tensor product of finite groups is finite'. J. Algebra, 111 (1):203205. [DOI] [Details] 
Ellis, Graham J. (1988) 'Multirelative algebraic $K$theory: the group $K_2(\Lambda; I_1,\cdots,I_n)$ and related computations'. J. Algebra, 112 (2):271289. [DOI] [Details] 
Brown, Ronald and Ellis, Graham J. (1988) 'Hopf formulae for the higher homology of a group'. Bull. London Math. Soc, 20 (2):124128. [DOI] [Details] 
Ellis, Graham J. (1988) 'An eight term exact sequence in algebraic $K$theory'. Bull. London Math. Soc, 20 (3):245247. [DOI] [Details] 
Ellis, Graham (1988) 'Crossed modules'. Irish Math. Soc. Bull, (21):2937. [Details] 
Ellis, Graham J. (1988) 'Higherdimensional crossed modules of algebras'. J. Pure Appl. Algebra, 52 (3):277282. [DOI] [Details] 
Ellis, Graham J. (1988) 'Homotopy classification the J. H. C. Whitehead way'. Exposition. Math, 6 (2):97110. [Details] 
Conduch\'e (1989) 'Quelques propri\'et\'es homologiques des modules pr\'ecrois\'es'. J. Algebra, 123 (2):327335. [DOI] [Details] 
Ellis, G. J. and Rodr\'\iguezFern\'andez, C. (1989) 'An exterior product for the homology of groups with integral coefficients modulo $p$'. Cahiers Topologie G\'eom. Diff\'erentielle Cat\'eg, 30 (4):339343. [Details] 
Ellis, Graham J. (1989) 'An algebraic derivation of a certain exact sequence'. J. Algebra, 127 (1):178181. [DOI] [Details] 
Ellis, Graham J. (1989) 'Hopf formulae and an exact sequence for group homology with coefficients in $Z_q$'. Proc. Roy. Irish Acad. Sect. A, 89 (1):6769. [Details] 
Ellis, Graham J. (1990) 'Relative derived contravariant functors and the cohomology of groups'. J. Pure Appl. Algebra, 64 (1):2133. [DOI] [Details] 
Ellis, Graham J. (1990) 'Relative derived functors and the homology of groups'. Cahiers Topologie G\'eom. Diff\'erentielle Cat\'eg, 31 (2):121135. [Details] 
Ellis, Graham J. (1991) 'A nonabelian tensor product of Lie algebras'. Glasgow Math. J, 33 (1):101120. [DOI] [Details] 
Ellis, Graham J. (1991) 'On the higher universal quadratic functors and related computations'. J. Algebra, 140 (2):392398. [DOI] [Details] 
Ellis, Graham J. (1992) 'Homology of $2$types'. J. London Math. Soc. (2), 46 (1):127. [DOI] [Details] 
Ellis, Graham J. (1993) 'On five wellknown commutator identities'. J. Austral. Math. Soc. Ser. A, 54 (1):119. [Details] 
Ellis, Graham J. (1993) 'Homotopical aspects of Lie algebras'. J. Austral. Math. Soc. Ser. A, 54 (3):393419. [Details] 
Ellis, Graham and Hardie, Keith (1993) 'On a MayerVietoris sequence in the cohomology of groups'. Quaestiones Math, 16 (1):7380. [Details] 
Ellis, Graham (1993) 'Crossed squares and combinatorial homotopy'. Math. Z, 214 (1):93110. [DOI] [Details] 
Ellis, Graham J. (1995) 'Tensor products and $q$crossed modules'. J. London Math. Soc. (2), 51 (2):243258. [DOI] [Details] 
Ellis, Graham and Leonard, Frank (1995) 'Computing Schur multipliers and tensor products of finite groups'. Proc. Roy. Irish Acad. Sect. A, 95 (2):137147. [Details] 
Ellis, Graham (1995) 'Corrigendum and addendum: ``Homology of 2types'' [J. London Math.\ Soc.\ (2) \bf 46 (1992), no.\ 1, 127; MR1180879 (93h:55014)]'. J. London Math. Soc. (2), 52 (3):447448. [DOI] [Details] 
Duncan, A. J. and Ellis, Graham J. and Gilbert, N. D. (1995) 'A MayerVietoris sequence in group homology and the decomposition of relation modules'. Glasgow Math. J, 37 (2):159171. [DOI] [Details] 
Ellis, Graham and Hardie, Keith (1995) 'A projective homotopy theory of crossed $G$modules'. Appl. Categ. Structures, 3 (3):201219. [DOI] [Details] 
Ellis, Graham (1996) 'On the tensor square of a prime power group'. Arch. Math. (Basel), 66 (6):467469. [DOI] [Details] 
Ellis, Graham (1996) 'Capability, homology, and central series of a pair of groups'. J. Algebra, 179 (1):3146. [DOI] [Details] 
Ellis, Graham (1997) 'Spaces with finitely many nontrivial homotopy groups all of which are finite'. Topology, 36 (2):501504. [DOI] [Details] 
Burns, John and Ellis, Graham (1997) 'On the nilpotent multipliers of a group'. Math. Z, 226 (3):405428. [DOI] [Details] 
Burns, J. and Ellis, G. and MacHale, D. and \'O Murch\'u (1997) 'Lower central series of groups with small upper central factors'. Proc. Roy. Irish Acad. Sect. A, 97 (2):113122. [Details] 
Ellis, Graham (1998) 'On the capability of groups'. Proc. Edinburgh Math. Soc. (2), 41 (3):487495. [DOI] [Details] 
Ellis, Graham (1998) 'A bound for the derived and Frattini subgroups of a primepower group'. Proc. Amer. Math. Soc, 126 (9):25132523. [DOI] [Details] 
Ellis, Graham (1998) 'On the Schur multiplier of a quotient of a direct product of groups'. Bull. Austral. Math. Soc, 58 (3):495499. [DOI] [Details] 
Burns, John and Ellis, Graham (1998) 'Inequalities for Baer invariants of finite groups'. Canad. Math. Bull, 41 (4):385391. [DOI] [Details] 
Ellis, Graham (1998) 'The Schur multiplier of a pair of groups'. Appl. Categ. Structures, 6 (3):355371. [DOI] [Details] 
Ellis, Graham and McDermott, Aidan (1998) 'Tensor products of primepower groups'. J. Pure Appl. Algebra, 132 (2):119128. [DOI] [Details] 
Ellis, Graham (1998) 'On Peiffer central series'. Glasgow Math. J, 40 (2):177185. [DOI] [Details] 
Ellis, Graham (1998) 'On groups with a finite nilpotent upper central quotient'. Arch. Math. (Basel), 70 (2):8996. [DOI] [Details] 
Ellis, Graham and Wiegold, James (1999) 'A bound on the Schur multiplier of a primepower group'. Bull. Austral. Math. Soc, 60 (2):191196. [DOI] [Details] 
Ellis, Graham (1999) 'Enumerating primepower homotopy $k$types'. Math. Z, 232 (1):6371. [DOI] [Details] 
Ellis, Graham (1999) 'On the Schur multiplier of $p$groups'. Comm. Algebra, 27 (9):41734177. [DOI] [Details] 
Ellis, Graham (2001) 'Embeddings into $k$efficient groups'. J. Algebra, 243 (2):497503. [DOI] [Details] 
Ellis, G. (2002) 'A MagnusWitt type isomorphism for nonfree groups'. Georgian Math. J, 9 (4):703708. [Details] 
Casas, J. M. and Ellis, G. and Ladra, M. and Pirashvili, T. (2002) 'Derived functors and the homology of $n$types'. J. Algebra, 256 (2):583598. [DOI] [Details] 
Ellis, Graham (2004) 'Computing group resolutions'. J. Symbolic Comput, 38 (3):10771118. [DOI] [Details] 
Ellis, Graham and Williams, Gerald (2005) 'On the cohomology of generalized triangle groups'. Comment. Math. Helv, 80 (3):571591. [DOI] [Details] 
Ellis, Graham and Harris, James and Sk\"oldberg, Emil (2006) 'Polytopal resolutions for finite groups'. J. Reine Angew. Math, 598 :131137. [DOI] [Details] 
Dutour Sikiri\'c (2009) 'Wythoff polytopes and lowdimensional homology of Mathieu groups'. J. Algebra, 322 (11):41434150. [DOI] [Details] 
Ellis, Graham and Sk\"oldberg, Emil (2010) 'The $K(\pi,1)$ conjecture for a class of Artin groups'. Comment. Math. Helv, 85 (2):409415. [DOI] [Details] 
Ellis, Graham and Mikhailov, Roman (2010) 'A colimit of classifying spaces'. Adv. Math, 223 (6):20972113. [DOI] [Details] 
Clancy, Maura and Ellis, Graham (2010) 'Homology of some Artin and twisted Artin groups'. J. KTheory, 6 (1):171196. [DOI] [Details] 
King, Simon A. and Green, David J. and Ellis, Graham (2011) 'The mod2 cohomology ring of the third Conway group is CohenMacaulay'. Algebr. Geom. Topol, 11 (2):719734. [DOI] [Details] 
Ellis, Graham and Smith, Paul (2011) 'Computing group cohomology rings from the LyndonHochschildSerre spectral sequence'. J. Symbolic Comput, 46 (4):360370. [DOI] [Details] 
Ellis, Graham and King, Simon (2011) 'Persistent homology of groups'. J. Group Theory, 14 (4):575587. [DOI] [Details] 
Dutour Sikiri\'c (2011) 'On the integral homology of $\rm PSL_4(\Bbb Z)$ and other arithmetic groups'. J. Number Theory, 131 (12):23682375. [DOI] [Details] 
Ellis, Graham and S\'aenzdeCabez\'on, Eduardo (2012) 'Special issue on computer algebra in algebraic topology and its applications'. Appl. Algebra Engrg. Comm. Comput, 23 (12):12. [DOI] [Details] 
Ellis, Graham and Luyen, Le Van (2012) 'Computational homology of $n$types'. J. Symbolic Comput, 47 (11):13091317. [DOI] [Details] 
Ellis, Graham and Hegarty, Fintan (2014) 'Computational homotopy of finite regular CWspaces'. J. Homotopy Relat. Struct, 9 (1):2554. [DOI] [Details] 
Tuan, Bui Anh and Ellis, Graham (2014) 'The homology of $SL_2(\Bbb Z[1/m])$ for small $m$'. J. Algebra, 408 :102108. [DOI] [Details] 
Ellis, Graham and Le, Luyen Van (2014) 'Homotopy 2types of low order'. Exp. Math, 23 (4):383389. [DOI] [Details] 