Tobias Ekholm
Professor i matematik vid Matematiska institutionen; Geometri och fysik
- Telefon:
- 018-471 63 99
- E-post:
- Tobias.Ekholm@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postadress:
- Box 480
751 06 UPPSALA
Ladda ned kontaktuppgifter för Tobias Ekholm vid Matematiska institutionen; Geometri och fysik
Professor vid Matematiska institutionen; Centrum för geometri och fysik
- Besöksadress:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postadress:
- Box 480
751 06 UPPSALA
Professor i matematik vid Matematiska institutionen; Akademisk personal
- Telefon:
- 018-471 63 99
- E-post:
- tobias.ekholm@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postadress:
- Box 480
751 06 UPPSALA
Ladda ned kontaktuppgifter för Tobias Ekholm vid Matematiska institutionen; Akademisk personal
- Akademiska meriter:
- FD, docent
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Kort presentation
Publikationer
Senaste publikationer
- Augmentations, annuli, and Alexander polynomials (2025)
- Knot homologies and generalized quiver partition functions (2023)
- Duality between Lagrangian and Legend (2023)
- Chekanov-Eliashberg dg-algebras for singular Legendrians (2022)
- Refined disk potentials for immersed lagrangian surfaces (2022)
Alla publikationer
Artiklar
- Augmentations, annuli, and Alexander polynomials (2025)
- Knot homologies and generalized quiver partition functions (2023)
- Duality between Lagrangian and Legend (2023)
- Chekanov-Eliashberg dg-algebras for singular Legendrians (2022)
- Refined disk potentials for immersed lagrangian surfaces (2022)
- Branches, quivers, and ideals for knot complements (2022)
- (Z )over-cap at Large N (2022)
- Multi-cover skeins, quivers, and 3d N=2 dualities (2020)
- Physics and geometry of knots-quivers correspondence (2020)
- Higher genus knot contact homology and recursion for colored HOMFLY-PT polynomials (2020)
- A complete knot invariant from contact homology (2018)
- Nearby Lagrangian fibers and Whitney sphere links (2018)
- Symplectic and contact differential graded algebras (2017)
- Non-loose Legendrian spheres with trivial contact homology DGA (2016)
- Legendrian knots and exact Lagrangian cobordisms (2016)
- Lagrangian exotic spheres (2016)
- EXACT LAGRANGIAN IMMERSIONS WITH A SINGLE DOUBLE POINT (2016)
- Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold (2015)
- Topological Strings, D-Model, and Knot Contact Homology (2014)
- Exact Lagrangian immersions with one double point revisited (2014)
- Construction of a closed polymer network for computer simulations (2014)
- Notes on topological strings and knot contact homology. (2013)
- Constructing exact Lagrangian immersions with few double points (2013)
- Knot contact homology (2013)
- Filtrations on the knot contact homology of transverse knots (2013)
- Effect of Legendrian Surgery (2012)
- Symplectic homology product via Legendrian surgery (2011)
- Singular Seifert surfaces and Smale invariants for a family of 3-sphere immersions (2011)
- Algorithm for generating a Brownian motion on a sphere (2010)
- Compactness for holomorphic curves with switching Lagrangian boundary conditions (2010)
- A duality exact sequence for legendrian contact homology (2009)
- Rational symplectic field theory over Z_2 for exact Lagrangian cobordisms (2008)
- Isotopies of Legendrian 1-knots and Legendrian 2-tori (2008)
- A note on Reeb dynamics on the tight 3-sphere (2007)
- Knutar och total krökning (2007)
- Morse flow trees and Legendrian contact homology in 1-jet spaces (2007)
- Legendrian contact homology in P x R (2007)
- Cobordisms of fold maps and maps with a prescribed number of cusps (2007)
- Double points of exact Lagrangian immersions and Legendrian contact homology (2006)
- Regular homotopy and total curvature. II. Sphere immersions into 3-space (2006)
- Regular homotopy and total curvature. I. Circle immersions into surfaces (2006)
- Invariants of knots, embeddings and immersions via contact geometry (2005)
- Orientations in Legendrian contact homology and exact Lagrangian immersions. (2005)
- Non-isotopic Legendrian submanifolds in R^{2n+1} (2005)
- The contact homology of Legendrian submanifolds in R^{2n+1} (2005)
- Total curvature and area of curves with cusps and of surface maps (2005)
- Minimizing singularities of generic plane disks with immersed boundaries (2005)
- The group of immersions of homotopy (4k-1)-spheres (2005)
- Computer simulations of polymer chain structure and dynamics on a hypersphere in four-space (2005)
- Geometric formulas for Smale invariants of codimension two immersions (2003)
- Brownian dynamics simulations on a hypersphere in 4-space (2003)
- The complex shade of a real space, and its applications (2002)
- On the triple points of singular maps (2002)
- Embeddedness of minimal surfaces with total boundary curvature at most 4 pi (2002)
- Framed holonomic knots (2002)
- Differential 3-knots in 5-space with and without self-intersections (2001)
- Invariants of generic immersions (2001)
- Self-intersection surfaces, regular homotopoy, and finite order invariants (2000)
- Total curvatures of holonomic links (2000)
- Regular homotopy and Vassiliev Invariants of generic immesrions $S^k \to R^{2k-1}$ (1998)
- Immersions in the metastable range and spin structures on surfaces (1998)
- The worldsheet skein D-module and basic curves on Lagrangian fillings of the Hopf link conormal
- Construction of a non-periodic closed network for computer simulations