Curriculum Vitae
Jens Harlander
Department of Mathematics
Boise State University, 1910 University Drive, Boise, ID 83725-1555
e-mail:jensharlander@boisestate.edu
Education
1986-1992: University of Oregon, Ph.D. 1992
Employment History
2020 - now: Professor at Boise State University
2010 - 2020: Associate Professor at Boise State University
2007 - 2010: Assistant Professor at Boise State University
2003 - 2007: Assistant, then Associate Professor at Western Kentucky University
2001 - 2003: Visiting Assistant Professor positions at Oregon State University, then at Portland State University.
1995 - 2001: C1-Assistant Professor at the University of Frankfurt, Germany
1992 - 1995: Post Doctoral position at the University of Frankfurt, Germany; then Research Fellow at Glasgow University.
Research Interests
Low Dimensional Topology, Geometric Group Theory, Topological and
Homological Group Theory.
Coauthors
Young Gheel Baik (Pusan National University), Robert Bieri (Frankfurt University/Binghamton University) , Rachel Byrd, William Bogley (Oregon State University), Cynthia Hog-Angeloni (Universit\"at Mainz), Jaqueline Jensen (Lamar University), Dessislava Kochloukova (Unicamp, Brazil), Wolfgang Metzler (JWG-University, Frankfurt), Holger Meinert, Andrew Misseldine (University of Southern Utah), Stephen Pride (Glasgow University), Stephan Rosebrock (PH Karlsruhe).
Publications
Groups with cyclic relation module, Ph.D.-Thesis, University of Oregon, 1992;
Solvable groups with cyclic relation module, Journal of Pure and Appl. Algebra 90 (1993), 189-198;
Minimal Cockcroft subgroups, Glasgow Math. Journal 36 (1994), 87-90;
On perfect subgroups of one-relator groups, in Proceedings of the Workshop on Geometric and Combinatorial Methods in Group Theory, ICMS Edinburgh, 1993, ed. A. Duncan, N.Gilbert, J. Howie, Cambridge University Press 1994;
Higher generation subgroup sets and the virtual cohomological dimension of graph products, with Holger Meinert, J. London Math. Soc. (2) 53 (1996) 99-117;
Closing the relation gap by direct product stabilization, Journal of Algebra 182 (1996), 511-521;
Embeddings into efficient groups, Proc. Edinburgh Math. Soc. (40) (1997), 317-324;
The Geometry of group extensions, with Y.G.Baik and S.J. Pride, Journal of Group Theory 1 (1998), 395-416;
On the dimension of groups acting on buildings, Groups St.Andrews 1997 at Bath (ed. C.M. Campbell, E.F. Robertson, N. Ruskuc, G.C. Smith), LMS Lecture Note Series 260, Cambridge University Press;
Some aspects of efficiency, in Groups-Korea 1998 (ed. Y.G. Baik, D.L. Johnson, A.C. Kim), de Gruyter 2000;
Problems in Low Dimensional Topology, with C. Hog-Angeloni, W. Metzler, S. Rosebrock, in Kluwer Encyclopedia of Mathematics Supp. II (ed. Michiel, Hazewinkel), Kluwer Academic Publisher, 2000.
A remark on the polyhedrality theorem for the Sigma-invariants of modules over abelian groups, with R. Bieri, Math. Proc. Cambridge Phil. Soc. 131 (2001), no. 1, 39-43;
Generalized knot complements and some aspherical ribbon disc complements, with S. Rosebrock, Journal of Knot Theory and its Ramifications, Vol. 12, No. 7 (2003) 947-962;
The FP3-conjecture for metabelian groups, with R.Bieri, J. London Math. Soc. (2) 64 (2001), 595-610;
Homological decision problems for finitely generated groups with solvable word problem, with W.A.Bogley, Internat. J. Alg. Comp. 12 (2002), 213-221.
The Sigma2-conjecture for metabelian groups: the general case, with D. Kochloukova, J. Algebra 273 (2004), no. 2, 435--454.
On the Sigma3-conjecture for metabelian groups, with D.Kochloukova, J. of the London Math. Soc. (3) 67 (2003), 609-625;
Improving tameness for metabelian groups, with W.A.Bogley, New York J. Math. 10 (2004), 1-8.
Building Resolutions, with D.Kochloukova, Journal of Algebra 269 (2003), 632-651.
On the homotopy classification of complexes with aspherical fundamental groups, with J. Jensen, Topology and its Applications, Vol. 153, Issue 15 (2006), 3000-3006.
Exotic Presentations and Homotopy Types for certain 1-relator groups, with J. Jensen, Algebraic & Geometric Topology 6 (2006) 3001-3011.
On distinguishing virtual knot groups from knot groups}, with S. Rosebrock, Journal of Knot Theory and Its Ramifications, Vol. 19, No. 5, (2010), 695-704.
On the K-theory and homotopy theory of the Klein bottle group}, with A. Misseldine, Homology, Homotopy and Applications, vol. 12(2) (2010), 1-10.
On primeness of labeled oriented trees, with S. Rosebrock, Journal of Knot Theory and its Ramifications, Vol. 21, No. 8 (2012).
Hyperbolic alternating virtual link groups, Groups, Geometry, and Dynamics 6 (2012).
On the Dehn complex of a virtual link, with R. Byrd, Journal of Knot Theory and its Ramifications, Vol. 22, No. 7 (2013).
Factor groups of Knot and LOT groups, with R. Gerecke, R. Manheimer, B. Oakley, S. Rahman, REU at BSU 2013, arXiv:1505.06364v1 [math.GR] 23 May 2015.
On the relation gap and relation lifting problem, in Groups St Andrews 2013 (edited by C. M. Campbell, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal), LMS Lecture Notes Series 422, CUP.
Aspherical word labeled oriented trees and cyclically presented groups, with S. Rosebrock, Journal of Knot Theory and its Ramifications, Vol. 24, No. 5 (2015).
Injective labeled oriented trees are aspherical, with S. Rosebrock, Mathematische Zeitschrift 287 (1); (2017); S. 199-214.
A Survey of recent Progress on some Problems in 2-dimensional Topology, Chapter 1 in Advances in Two-Dimensional Homotopy and Combinatorial Group Theory; Cambridge University Press, LMS Lect.~Notes 446; Editoren: W. Metzler, S. Rosebrock; (2018).
The Relation Gap Problem}, Chapter 6 in Advances in Two-Dimensional Homotopy and Combinatorial Group Theory; Cambridge University Press, LMS Lect.~Notes 446; Editoren: W. Metzler, S. Rosebrock; (2018).
Relative combinatorial asphericity, with S. Rosebrock, Math arXiv:1904.08253 [GT], preprint (2019)
Directed diagrammatic reducibility, with S. Rosebrock, Topology and its Applications, Volume 282, (2020).
Relative Vertex Asphericity, with S. Rosebrock, Canadian Mathematical Bulletin, Volume 64, Issue 2, (2021).
Ribbon 2-knot groups of Coxeter type, with S. Rosebrock, submitted 2021.
Research with Student
REU
Summer 2011: The conjugacy problem in group theory. Students: Hannah Lewis (Dixie State College), Jonathan Siegel (UC Santa Cruz), Chao Xu (Stony Brook University).
Summer 2012: Labeled oriented trees that are not diagrammatically reducible.Students: Ashley Earls (St. Olaf College), Gabriel Islambouli (University of Virginia), Rachael Keller (Louisiana State University), Mingjia Yang (Albion College).
Summer 2013: Factor groups of knot and LOT groups. Students: Renata Gerecke (Pomona College), Ryan Manheimer (The College of New Jersey), Brian Oakley (University of Georgia), Sifat Rahman (University of Michigan-Ann Arbor). This work resulted in a preprint that we posted on the Mathematics-arXiv.
Boise State Masters Thesis
Spring 2010: Andrew Misseldine ``Stably free modules over the Klein bottle". This thesis resulted in the joint publication ``On the K-theory and homotopy theory of the Klein bottle group", Homology, Homotopy and Applications, vol. 12(2) (2010), 1-10.
Spring 2010: Bailey Ross ``Combinatorics and topology of curves and knots".
Spring 2011: Nick Davidson ``Modules over localized group rings for groups mapping onto free groups".
Spring 2012: Rachel Byrd ``On the geometry of virtual knots". This thesis resulted in the joint publication ``On the Dehn complex of a virtual link", Journal of Knot Theory and its Ramifications, Vol. 22, No. 7 (2013).
Spring 2015: Tyler Allyn ``Diagrammatically reducible 2-complexes".
Spring 2019: Mitchell Scofield ``On the fundamental group of plane curve complements".
Spring 2020: Kennedy Courtney ``The directed forest complex of a Cayley graph".
Spring 2021: Sarah Schott ``Exploring the beginnings of algebraic K-theory".
Spring 2023: James Alex Byars ``A history of the Hurwitz problem concerning branched coverings".