Preprints:
Papers accepted for publication:
 Minimal Genus in 4manifolds with a Free Circle Action
(with Stefano Vidussi)
to be published by Advances in Mathematics,
20 pages. Version 08/12
 Rank gradients of infinite cyclic covers of 3manifolds
(with Jason Deblois and Stefano Vidussi)
to be published by the Michigan Journal of Mathematics,
15 pages. Version 12/12
 The virtual fibering theorem for 3manifolds (with Takahiro Kitayama)
to be published by L'enseignement mathematicque, 23 pages. Version 10/12
 A note on the growth of Betti numbers and ranks of 3manifold groups
to be published by the Bulletin des Sciences Mathematiques, 9 pages. Version 8/12
 The unknotting number and classical invariants II
(with Maciej Borodzik)
to be published by the Glasgow Journal of Mathematics,
26 pages. Version 8/13
 Metabelian SL(n,C) representations of knot groups, III: deformations,
(with Hans Boden)
to be published by the Quarterly Journal of Mathematics., 22 pages. Version 08/12
 Twisted Reidemeister torsion, the Thurston norm and fibered manifolds
to be published by Geometriae Dedicata,
10 pages. Version 12/12
 The Thurston norm and twisted Alexander polynomials (with Stefano Vidussi)
to be published by the Journal fur Reine und Angewandte Mathematik, 17 pages. Version 06/12.
 Kaehler groups, quasiprojective groups, and 3manifold groups
(with Alexander Suciu)
to be published by the Journal of the London Mathematical Sociecty,
18 pages. Version 12/12
 Metabelian SL(n,C) representations of knot groups IV: Twisted Alexander polynomials
(with Hans Boden)
to be published by the Mathematical Proceedings of the Cambridge Philosophical Society, 21 pages. Version 9/12
 A note on a topological approach to the muconstant problem in dimension 2 (with Maciej Borodzik)
to be published by Revista Matematica Complutense, 6 pages. Version 3/12
 On the topology of Symplectic CalabiYau 4manifolds (with Stefano Vidussi)
to be published by the Journal of Topology, 12 pages. Version 3/13.
 Links Not Concordant to the Hopf Link (with Mark Powell)
to be published by the Math. Proc. Camb. Phil. Soc., 40 pages. Version 05/11
 A Vanishing Theorem for Twisted Alexander Polynomials with Applications to Symplectic 4manifolds
(with Stefano Vidussi)
to be published by the Journal of the European Mathematical Society, 15 pages. Version 08/12
 Cobordisms to weakly splittable links
(with Mark Powell)
to be published by Proc. Amer. Math. Soc.
11 pages. Version 12/11
Publications:
 Taut sutured manifolds and twisted homology (with Taehee Kim)
Mathematical Research Letter 20 (2013), no. 02, 115.
 Commensurability of knots and L^2 invariants
to be published by the Proceedings of Geometry and Topology Down Under: The Rubinstein birthday conference.
Contemporary Mathematics 597 (2013), 263279.
 3manifold groups are virtually residually p (with Matthias Aschenbrenner)
Memoirs Amer. Math. Soc. Vol 225 (2013), 106 pages.
 Twisted torsion invariants and link concordance
(with Jae Choon Cha)
Forum Mathematicum 25 (2013), 471504.
 Poincare duality and degrees of twisted Alexander polynomials (with Taehee Kim and Takahiro Kitayama)
Indiana University Mathematics Journal 61 (2012), 147192.
 Twisted Alexander polynomials of hyperbolic knots
(with Nathan Dunfield and Nicholas Jackson)
Experimental Mathematics 21 (2012), 329352.
the program written by Nathan Dunfield and the full data can be found on Nathan's webpage
 Cosmetic crossings and Seifert matrices
(with Cheryl Balm, Efstratia Kalfagianni and Mark Powell)
Communications in Analysis and Geometry 20 (2012), 235–253.
 Construction of symplectic structures on 4manifolds with a free circle action (with Stefano Vidussi)
Proc. Royal Soc. Edinburgh: Section A 142 (2012), pp 359  370.

An Injectivity Theorem for CassonGordon Type Representations relating to the Concordance of Knots and Links
(with Mark Powell)
Bull. Korean Math. Soc. 49 (2012), No. 2, pp. 395409
 Twisted Alexander polynomials and fibered 3manifolds
(with Stefano Vidussi)
LowDimensional and Symplectic Topology, Proceedings of Symposia in Pure Mathematics
Volume 82 (2011), 111130.
 The decategorification of sutured Floer homology
(with Andras Juhasz and Jacob Rasmussen)
Journal of Topology (2011) 4(2): 431478

The cobordism group of homology cylinders (with Jae Choon Cha and Taehee Kim)
Compositio Mathematica 147 (2011), 914942
 Symplectic 4manifolds with K=0 and the Lubotzky alternative (with Stefano Vidussi)
Mathematics Research Letters 18 (2011) 513519
 Residual properties of graph manifold groups (with Matthias Aschenbrenner)
Topology and its Applications 158 (2011) 11791191

Twisted Alexander polynomials detect fibered 3manifolds (with Stefano Vidussi)
Annals of Mathematics, Volume 173 (2011), 15871643
 A criterion for HNN extensions of finite pgroups to be residually p (with Matthias Aschenbrenner)
Journal of Pure and Applied Algebra 215 (2011) 2280–2289

Metabelian SL(n,C) representations of knot groups II: fixed points (with Hans Boden)
Pacific Journal of Mathematics, 249 (2011), 110
 A survey of twisted Alexander polynomials
(with Stefano Vidussi)
The Mathematics of Knots: Theory and Application (Contributions in Mathematical and Computational Sciences), editors:
Markus Banagl and Denis Vogel (2010), p. 4594.

Realizations of Seifert matrices by hyperbolic knots
J. Knot Theory and its Ramifications Volume 18 (2009), 14711474

L^2Betti numbers of plane algebraic curves (with Constance Leidy and Laurentiu Maxim)
Michigan Math. Journal, 58 (2009), no. 2, 291301

New constructions of slice links (with Tim Cochran and Peter Teichner)
Comment. Math. Helv. Volume 84, Issue 3 (2009), 617638

Twisted Alexander polynomials, symplectic 4manifolds and surfaces of minimal complexity (with Stefano Vidussi)
Banach Center Publ. 85 (2009), 4357

Metabelian SL(n,C) representations of knot groups (with Hans Boden)
Pac. J. Math, Vol. 238, 725 (2008)
 Twisted Alexander norms give lower
bounds on the Thurston norm (with Taehee Kim)
Trans. Amer. Math. Soc. 360 (2008), 45974618

Twisted Alexander polynomials and symplectic structures (with Stefano Vidussi)
Amer. J. Math. 130, 455484 (2008)

The parity of the CochranHarvey invariants of 3manifolds (with Taehee Kim)
Trans. Amer. Math. Soc. 360 (2008), 29092922.

Symplectic S^1 x N^3, surface subgroup separability, and totally degenerate Thurston norm (with Stefano Vidussi)
Journal Amer. Math. Soc. 21 (2008), 597610.

Nontrivial Alexander polynomials of knots and links (with Stefano Vidussi)
Bull. London Math. Soc., Vol. 39: 614622 (2007)

Nonsmoothable fourmanifolds with cyclic fundamental group (with Ian Hambleton, Paul Melvin, Peter Teichner)
Inter. Math. Res. Not., Vol. 2007, Article ID rnm031, 20 pages
 Reidemeister torsion, the Thurston norm and Harvey's invariants
Pacific Journal
of Mathematics, Vol. 230: 271296 (2007)

Noncommutative Multivariable Reidemeister Torsion and the Thurston Norm (with Shelly Harvey)
Alg. Geom. Top., Vol. 7: 755777 (2007)
 Algorithm for finding boundary link Seifert matrices
Journal of Knot Theory and its Ramifications, Vol 15, No. 5: 601612 (2006)

The Thurston norm, fibered manifolds and
twisted Alexander polynomials (with Taehee Kim)
Topology 45: 929953 (2006)
 New topologically slice knots (with Peter Teichner)
Geometry and Topology, Volume 9 (2005) Paper no. 48, pages 21292158
and the correction to an example
Correction to ‘New topologically slice knots’
Geometry and Topology, Volume 10 (2006) 3001–3004
and another
erratum
 Full signature invariants for L_0(F(t))
Proc. Amer. Math. Soc. 133: 647653 (2005)

L^2etainvariants and their approximation by unitary etainvariants
Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 138: 327338 (2005)

Link concordance, boundary link concordance and etainvariants
Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 138: 437460 (2005)

Eta invariants as sliceness obstructions and their relation to CassonGordon invariants
Algebraic and Geometric Topology, Vol. 4: 893934 (2004)
Note that the versions which appear in the journals are considered the final versions. The above versions are the
preprint versions.
Papers in nonrefereed publications:

Symplectic S^1 x N^3 and subgroup separability (with Stefano Vidussi)
Oberwolfach Reports,
Volume 3, Issue 3 (2006), 2166  2168

Fundamental groups of 3manifolds (on joint work with Matthias Aschenbrenner)
Oberwolfach Reports, Volume 7, Issue 3 (2010), 24792482
 Centralizers in 3manifold groups
RIMS Kokyuroku 1747 (2011), 2334
 Approximations to the hyperbolic volume of knots (with Nicholas Jackson)
13 pages, RIMS Kokyuroku 1747 (2011), 3546
 Cobordism on homology cylinders and combinatorial torsions
(with Jae Choon Cha and Taehee Kim)
RIMS Kokyuroku 1747 (2011), 1722
Lecture notes:
Videos from talks
 Symplectic 4manifolds of the form S^1xN, Chern Centennial Conference, November 2011, MSRi
 The algebraic unknotting number, University of Edinburgh, February 2012.
 Minimal genus surfaces in 4manifolds with a free S^1action, KAIST, August 2012.
 Topologically slice knots, University of Edinburgh, July 2013.
 Splittings of knot groups, Geometric Topology in New York, August 2013.
Slides and talks:
 Complexity of surfaces in 4manifolds with a free circle action, University of Akron, October 2012
 The algebraic unknotting number, University of Edinburgh, February 2012
et aussi le nombre de denouage algebrique a Paris VII Mars 2012
 Minimal genus Seifert surfaces are robust, University of Warwick, February 2012.

A survey of twisted Alexander polynomials, Akita, September 2010.

Twisted Alexander, fibered 3manifolds and the Thurston norm, Akita, September 2010.

Twisted Alexander polynomials of hyperbolic knots, AMSKMS joint conference, Seoul, December 2009.

Les varietes fibrees de dimension trois et les varietes symplectiques de dimension quatre, Conference a Paris VII, Mai 2009.

Symplectic 4manifolds and fibered 3manifolds,
talk at the 5th East Asian conference on knots, January 2009.

Symplectic 4manifolds and fibered 3manifolds,
talk at Brandeis University, June 2008

New examples of topologically slice knots and links,
talk at the University of Waterloo, November 2007

Symplectic 4manifolds and fibered 3manifolds,
talk at the Low Dimensional Geometry and Topology Symposium at Warwick 2007

4manifolds and their (equivariant) intersection forms,
talk at University of California at Riverside 2007

Commensurabiliy and L^2invariants,
talk at Columbia University 2007
 Twisted Alexander polynomials and Symplectic Structures,
talk in Baton Rouge 2006 on joint work with Stefano Vidussi
 Twisted Alexander polynomials, the Thurston norm and symplectic manifolds,
talk at UCBerkeley 2005 on joint work with Taehee Kim and Stefano Vidussi
 Examples of topologically slice knots,
talk in Edinburgh 2005 on joint work with Peter Teichner
Miscellaneous notes:
 Primzahltests und Faktorisierungsmethoden,
Zulassungsarbeit fuer das Staatsexamen fuer Lehramt Gymnasium, Regensburg (1997)
 The group law on elliptic curves, part of my undergraduate
thesis,
Regensburg (1998)

Eta invariants as sliceness obstructions and their relation to CassonGordon invariants , PhD thesis, Brandeis
University (2003)

Symplectic 4manifolds with a free circle action (with Stefano Vidussi)
this paper was split into several papers, parts of it appear in
'Construction of symplectic structures on 4manifolds with a free circle action' and in
`Symplectic 4manifolds with K=0 and the Lubotzky alternative'
 The Thurston norm, fibered manifolds and
twisted Alexander polynomials (more detailed version of the above paper with 51 pages)
 Alexander polynomials of plane algebraic curves, 21 pages.
A note slightly generalizing results of CogolludoFlorens and LeidyMaxim (2005)
 Hyperbolic examples of topologically slice knots, 5 pages (2007)
 Notes taken at a talk by Dani Wise on
`The structure of groups with a quasiconvex hierarchy' in Montreal, 21 pages (April 2010)
 Concordance of links and their components, 2 pages (April 2011)
 3manifolds after Perelman, 12 pages, extended version
of a talk given at the MaxPlanck institute in Bonn (October 2011)