Preprints:
Papers accepted for publication:
Paper accepted for publication but which (alas!) never appeared in print.
Publications:
 Epimorphisms of 3manifold groups (with Michel Boileau)
The Quarterly Journal of Mathematics (2018), 931942.
 Representation varieties detect essential surfaces (with Takahiro Kitayama and Matthias Nagel)
Mathematical Research Letters 25 (2018), 803817.
 Linking forms revisited (with Anthony Conway and Gerrit Herrmann)
Pure and Applied Mathematics Quarterly 12 (2016), 493515.
 On highdimensional representations of knot groups (with Michael Heusener)
Algebraic & Geometric Topology 181 (2018), 313332.
 Twisted Blanchfield pairings and decomposition of 3manifolds (with Constance Leidy, Matthias Nagel and Mark Powell)
Homology, Homotopy and Applications 19 (2017), 275287.
 An elementary proof of the group law for elliptic curves
Groups, Complexity, Cryptology 9 (2017), no. 2, 117–123.
 Universal L^2torsion, polytopes and applications to 3manifolds (with Wolfgang Lück)
Proceedings of the London Mathematical Society 114 (2017), 11141151.
 Thurston norm via Fox calculus (with Kevin Schreve and Stephan Tillmann)
Geometry and Topology 21 (2017), 37593784.

Splitting numbers of link (with Jae Choon Cha and Mark Powell)
Proceedings of the Edinburgh Mathematical Society 60 (2017), 587–614
 Twisted Reidemeister torsion and the Thurston norm: graph manifolds and finite representations (with Matthias Nagel)
Illinois Journal of Mathematics 59 (2015), 691705.
 Knot concordances and alternating knots (with Chuck Livingston and Raphael Zentner)
Michigan Math Journal 66 (2017), 421–432.
 Twisted Novikov homology of complex hypersurface complements (with Laurentiu Maxim)
Mathematische Nachrichten 290 (2017), 604612.
 Twisted Alexander invariants detect trivial links (with Stefano Vidussi)
Canadian Mathematical Bulletin 60 (2017), 283299.
 A note on the existence of essential tribranched surfaces (with Takahiro Kitayama and Matthias Nagel)
Topology and its Applications 225 (2017) 7582.
 A calculation of Blanchfield pairings of 3manifolds and knots (with Mark Powell)
Moscow Mathematical Journal 17 (2017), 5977.
 The Grothendieck group of polytopes and norms (with Jae Choon Cha and Florian Funke)
Münster Journal of Mathematics 10 (2017), 7581.
 Novikov homology and noncommutative Alexander polynomials
Journal of Knot Theory and its Ramifications 26, 1740013 (2017)
Memorial volume for Tim Cochran of the Journal of Knot Theory and its Ramifications

Rank gradients of infinite cyclic covers of Kahler manifolds (with Stefano Vidussi)
Journal of Group Theory 19 (2016), 941957.
 The L^2Alexander torsion of 3manifolds
(with Jerome Dubois and Wolfgang Lück)
Journal of Topology 9, No. 3 (2016), 889926.
 The membership problem for 3manifold groups is solvable (with Henry Wilton)
Algebraic and Geometric Topology 16 (2016), 18271850.
 The Turaev and Thurston norms (with Daniel Silver and Susan Williams)
Pacific Journal of Mathematics 284 (2016), 365382.
 Blanchfield forms and Gordian distance (with Maciej Borodzik and Mark Powell)
Journal of the Mathematical Society of
Japan 68 (2016), no. 3, 1047–1080.
Here is a slightly
revised version which fixes a minor problem.
 Sutured Floer homology, fibrations, and taut depth one foliations (with Irida Altman and Andras Juhasz)
Transactions of the American Mathematical Society 368, No. 9 (2016), 63636389.
 Twist spinning of knots and metabolizers of Blanchfield pairings (with Patrick Orson)
Annales de la Faculte des Sciences de Toulouse 24 (2015), no. 5, 12031218.
 Decision problems for 3manifolds and their fundamental groups (with Matthias Aschenbrenner and Henry Wilton)
Baykur, R. Inanc (ed.) et al., Interactions between low dimensional topology and mapping class groups. Proceedings of the conference, Bonn, Germany, July 15, 2013. Geometry and Topology Monographs 19, 201236 (2015).
 3manifolds that can be made acyclic (with Matthias Nagel)
International Mathematics Research Notices
2015, no. 24, 1336013378.
 The L^2Alexander torsion is symmetric
(with Jerome Dubois and Wolfgang Lück)
Algebraic and Geometric Topology 156 (2015), 35993612.
 The Thurston norm and twisted Alexander polynomials (with Stefano Vidussi)
Journal für Reine und Angewandte Mathematik 707 (2015), 87102.
 3manifold groups (with Matthias Aschenbrenner and Henry Wilton)
EMS Series of Lectures in Mathematics (2015), 230 pages.
Preliminary version from 03/15.
 Virtually symplectic fibered 4manifolds (with Inanc Baykur)
Indiana University Mathematics Journal 64 No. 4 (2015), 983999.

Splittings of knot groups (with Daniel Silver and Susan Williams)
Mathematische Annalen 362 (2015), 401424.

Three flavors of twisted invariants of knots (with Jerome Dubois and Wolfgang Lück)
Introduction to Modern Mathematics, Advanced Lectures in Mathematics 33 (2015), 143170.
 Thompson's Group F is not SCY (with Stefano Vidussi)
Groups, Geometry and Dynamics 9 (2015), 325329.
 The unknotting number and classical invariants I
(with Maciej Borodzik)
Algebraic and Geometric Topology 15 (2015), 85135.

On the algebraic unknotting number (with Maciej Borodzik)
Transactions of the London Mathematical Society 1 (2014), 5784.
 L^2Alexander torsions of 3manifolds
(with Jerome Dubois and Wolfgang Lück)
Comptes Rendus Mathematique
353 (2015), 6973.

Thurston's vision and the virtual fibering theorem for 3manifolds
Jahresbericht der Deutschen MathematikerVereinigung 116 (2014), 223241.
 A specious unlinking strategy (with Matthias Nagel and Mark Powell)
Periodica Mathematica Hungarica 69 (2014), 207210.
 Metabelian SL(n,C) representations of knot groups, III: deformations,
(with Hans Boden)
Quarterly Journal of Mathematics 65 (2014), 817840.
 The virtual fibering theorem for 3manifolds (with Takahiro Kitayama)
L'enseignement mathematique 60 (2014), 79107.
 Twisted Reidemeister torsion, the Thurston norm and fibered manifolds
Geometriae Dedicata 172, (2014), 135145.
 The unknotting number and classical invariants II
(with Maciej Borodzik)
Glasgow Mathematical Journal 56 (2014), 657680.
 Concordance of links with identical Alexander invariants
(with Jae Choon Cha and Mark Powell)
Bulletin of the London Mathematical Society 46, No. 3 (2014), 629642.
 Links Not Concordant to the Hopf Link (with Mark Powell)
Math. Proc. Cambridge Philos. Soc. 156 (2014), no. 3, 425459.
 A note on a topological approach to the muconstant problem in dimension 2 (with Maciej Borodzik)
Revista Matematica Complutense 27 (2014), 345350.
 A Vanishing Theorem for Twisted Alexander Polynomials with Applications to Symplectic 4manifolds
(with Stefano Vidussi)
Journal of the European Mathematical Society 15 (2013), no. 6, 21272041.
 Kaehler groups, quasiprojective groups, and 3manifold groups
(with Alexander Suciu)
Journal of the London Mathematical Sociecty 89 (2014), 151168.
 Rank gradients of infinite cyclic covers of 3manifolds
(with Jason Deblois and Stefano Vidussi)
Michigan Journal of Mathematics 63 (2014), 6581.
 Minimal Genus in 4manifolds with a Free Circle Action
(with Stefano Vidussi)
Advances in Mathematics 250 (2014), 570587.
 A note on the growth of Betti numbers and ranks of 3manifold groups
Bulletin des Sciences Mathematiques 138 (2014), 6370.
 Metabelian SL(n,C) representations of knot groups IV: Twisted Alexander polynomials
(with Hans Boden)
Mathematical Proceedings of the Cambridge Philosophical Society 156 (2014), 8197.
 Cobordisms to weakly splittable links
(with Mark Powell)
Proc. Amer. Math. Soc. 142 (2014),
703712.
 On the topology of Symplectic CalabiYau 4manifolds (with Stefano Vidussi)
Journal of Topology (2013), 6 (4): 945954.
 Taut sutured manifolds and twisted homology (with Taehee Kim)
Mathematical Research Letter 20 (2013), no. 02, 115.
Here's an erratum
 Commensurability of knots and L^2 invariants
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), 235253.
 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, 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), 22802289.

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), 30013004.
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
 The Thurston norm via Fox calculus (with Kevin Schreve and Stephan Tillmann)
Oberwolfach reports 12 (2015), 200202.
 Profinite completions and 3manifold groups (with Michel Boileau)
RIMS Kokyuroku (2016), 15 pages.
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.
 Slicing knots, BIRS, Banff, February 2016.
Talks for a general audience:
Slides and talks:
 Knots, graphs, surfaces in dimensions 3 and 4, CIRM Luminy, February 2017.
 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)

Eta invariants as sliceness obstructions and their relation to CassonGordon invariants , PhD thesis, Brandeis
University (2003), see also the
erratum to Corollary 9.3

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)
 A quick proof that K #K is doubly slice (with Patrick Orson), 6 pages (December 2013)
 Cyclic resultants of reciprocal polynomials, an exposition of the eponymous paper of David Fried, talk given July 2015.
 Linking forms of amphichiral knots (with Allison Miller and Mark Powell) 7 pages (2017)
 The Picard Theorem 14 pages (2017)