·        Exact Lagrangian immersions with a single double point, with Ivan Smith, link

·        Legendrian knots and exact Lagrangian cobordisms, with Ko Honda and Tamas Kalman, link

·        Topological Strings, D-Model, and Knot Contact Homology, with Mina Aganagic, Lenny Ng, and Cumrun Vafa, link

·        Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold, with Lenny Ng, link


Published and accepted

1.     Exact Lagrangian immersions with a single double point revisited, with Ivan Smith, to appear in Math Ann, link

2.     Constructing exact Lagrangian immersions with few double points, with Yasha Eliashberg, Emmy Murphy, and Ivan Smith, to appear in GAFA, link

3.     Knot Contact Homology, with John Etnyre, Lenny Ng, and Michael Sullivan, Geometry and Topology 17 (2013) 975-1112, link

4.     Filtrations on the knot contact homology of transverse knots, with John Etnyre, Lenny Ng, and Michael Sullivan, Math. Ann. 355 (2013) 1561–1591, link

5.     Effect of Legendrian surgery, with Frederic Bourgeois and Yakov Eliashberg, Geometry and Topology 16 (2012) 301-391, link

6.     Rational SFT, linearized Legendrian contact homology, and Lagrangian Floer cohomology, Perspectives in analysis, geometry, and topology, 109-145, Progr. Math. 296 (2012), Birkhäuser/Springer, New York, link

7.     Symplectic homology product via Legendrian surgery, with Frederic Bourgeois and Yakov Eliashberg, Proc Natl Acad Sci USA 108 (2011) 8114-8121, link

8.     Singular Seifert surfaces and Smale invariants of a family of 3-sphere immersions, with Masamichi Takase, Bullentin of LMS 43 (2) (2011) 251-266., link

9.     Compactness for holomorphic curves with switching Lagrangian boundary conditions, with Kai Cieliebak and Janko Latschev, J. Symplectic Geom. 8 (2010) no. 3, 267-298, link

10.  A version of Rational SFT for Exact Lagrangian Cobordisms in 1-Jet Spaces, CRM Proceedings and Lecture Notes 49 (2009) 173-199 pdf-file

11.  A Duality Exact Sequence for Legendrian Contact Homology, with John B. Etnyre and Joshua M. Sabloff; Duke Mathematical Journal, 150 (2009) no. 1, 1-75 link

12.  Isotopies of Legendrian 1-knots and Legendrian 2-tori, with Tamas Kalman; Journal of Symplectic Geometry 6 (2008), no. 4, 407-460 link

13.  Rational Symplectic Field Theory over Z2 for exact Lagrangian cobordisms; Journal of European Mathematical Society (JEMS) 10 (2008), no. 3, 641-704 link

14.  Cobordisms of fold maps and maps with a prescribed number of cusps, with Andras Szucs and Tamas Terpai; Kyusju Journal of Mathematics 61, no 2, 395-414 (2007) link

15.  A note on Reeb dynamics on the tight 3-sphere, with Frederic Bourgeois and Kai Cieliebak; Journal of Modern Dynamics 1, no 4, 597-613 (2007) link

16.  Morse flow trees and Legendrian contact homology in 1-jet spaces; Geometry and Topology 11, 1083-1224 (2007) link

17.  Legendrian contact homology in PxR, with John Etnyre and Michael Sullivan; Transactions of the American Mathematical Society 359, no 7, 3301-3335 (2007) link

18.  Regular homotopy and total curvature. I. Circle immersions into surfaces; Algebraic and Geometric Topology 6, 459-492 (2006) link

19.  Regular homotopy and total curvature. II. Sphere immersions into 3-space; Algebraic and Geometric Topology 6, 493-512 (2006) link

20.  Double points of exact Lagrangian immersions; Clay Mathematics Proceedings 5, 181-191 (2006)

21.  Orientations in contact homology and double points of exact Lagrangian immersions, with J. Etnyre and M. Sullivan; Internat. J. Math. 16, no 5, 453-532 (2005) link

22.  Non-isotopic Legendrian submanifolds in R2n+1 with J. Etnyre and M. Sullivan; Journal of Differential Geometry 71, no 1, 85-128 (2005) link

23.  The contact homology of Legendrian submanifolds in R2n+1, with J. Etnyre and M. Sullivan; Journal of Differential Geometry 71, no 2, 177-305 (2005) link

24.  The group of immersions of homotopy (4k-1)-spheres, with A. Szucs; Bullentin of LMS 38, no 1, 163-176 (2005) ps-file

25.  Invariants of knots, embeddings, and immersions via contact geometry, with J. Etnyre; Fields Institue Communications 47, 77-96 (2005) link

26.  Total curvature of curves with cusps and of surface maps, with F. Kutzschebauch; Math. Scand. 96, no 2, 224--242 (2005) ps-file

27.  Minimizing singularities of planar disks with immersed boundaries, with O. Larsson; Arkiv for Matematik 43, no 2, 347-364 (2005) ps-file

28.  Geometric formulas for Smale invariants of codimension two immersions, with A. Szucs; Topology 42, no 1, 171-196 (2003). link

29.  The complex shade of a real space, and its applications ; Algebra i Analiz 14, no 2, 56-91 (2002) link

30.  Framed holonomic knots, with M. Wolff; Algebr. Geom. Topol. 2, 449-463 (2002) link

31.  On the triple points of singular maps, with A. Szucs; Comment. Math. Helv. 77, no 2, 408-414 (2002) ps-file

32.  Embeddedness of minimal surfaces with total boundary curvature at most 4pi, with B. White and D. Wienholtz; Ann. of Math. (2) 155, no 1, 209-234 (2002) link

33.  Invariants of generic immersions ; Pacific J. Math. 199, no 2, 321-345 (2001) link

34.  Differential 3-knots in 5-space with and without self-intersections ; Topology 40, no 1, 157-196 (2001) link

35.  Total curvatures of holonomic links, with O. Weistrand; J. Knot Theory Ramifications 9, no 7, 893-906 (2000) link

36.  Self-intersection surfaces, regular homotopy, and finite order invariants; Algebra i Analiz 11, 250-272 (1999); translation in St. Petersburg Math. J. 11, 909-929 (2000) ps-file

37.  Regular homotopy and Vassiliev invariants of generic immersions Sk \to R2k-1, k \le 4; J. Knot Theory Ramifications 7, 1041-1064 (1998) ps-file

38.  Immersions in the metastable range and spin structures on surfaces; Math. Scand. 83, no 1, 5-41 (1998) ps-file

Auxiliary on mathematics

·        Knots and Bernoulli numbers; preprint (1999), after this paper was written I found out that the same results had been obtained by J. F. Hughes and P.M. Melvin, The Smale invariant of a knot; Comment. Math. Helv. 60, 615-627 (1985). ps-file

·        Short geodesic loops on surfaces; undergraduate thesis (1994), ps-file

·        Knutar och total krokning; a popular text on Milnor's famous result: if the total curvature of a closed space curve is less than 4pi then the curve is unknotted (Swedish), Normat 55 (2007), no. 4, 145-156, 192. pdf-file

·        Course material; basic Riemannian geometry and the heat kernel (2002) ps-file

·        Course material; basic Riemannian geometry (1997) ps-file

On subjects other than mathematics

1.     Algorithm for generating a Brownian motion on a sphere , with T. Carlsson and C. Elvingson ; J. Phys. A: Math. Theor. 43 505001, pdf-file (preprint version)

2.     Brownian dynamics simulations on a hypersphere in 4-space, with J. Nissfolk and C. Elvingson; Journal of Chemical Physics 119, no 13, 6423-6432 (2003) journal

3.     Computer simulations of polymer chain structure and dynamics on a hypersphere in four-space, with P-J. Rasmark and C. Elvingson; Journal of Chemical Physics 122, no 18, 184110 (2005) journal