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Here are links for my papers on the arXiv, on MathSciNet,
and on zbMATH.
Here are links for my reviews for zbMATH and for MathSciNet.
My co-authors:
Sebastian Baader, Ian Banfield, Peter Feller, Stefan Friedl, Eugene Gorsky, Damian Iltgen, Marc Kegel, Takahiro Kitayama, Alexandra Kjuchukova, Livio Liechti, Andrew Lobb, Naageswaran Manikandan, Laura Marino, Duncan McCoy, Filip Misev, Léo Mousseau, Matthias Nagel, Miguel Orbegozo Rodriguez, Mark Powell, Arunima Ray, Marithania Silvero, Paula Truöl, Raphael Zentner, Claudius Zibrowius.
List of my papers in reverse chronological order of appearance on the arXiv:
| 29. |
Khovanov homology and refined bounds for Gordian distances
joint with Laura Marino and Claudius Zibrowius.
arXiv:2409.05743  |
| 28. |
Homogeneous braids are visually prime
joint with Peter Feller and Miguel Orbegozo Rodriguez.
arXiv:2408.15730 |
| 27. |
Minimal cobordisms between thin and thick torus knots
joint with Sebastian Baader, Filip Misev and Paula Truöl.
arXiv:2405.13719 |
| 26. |
The second coefficient of the Alexander polynomial as a satellite obstruction
Comptes Rendus Mathématique. Académie des Sciences. Paris (accepted for publication).
arXiv:2402.03155 |
| 25. |
A new concordance homomorphism from Khovanov homology
arXiv:2401.08480 |
| 24. |
On unknotting fibered positive knots and braids
joint with Marc Kegel, Naageswaran Manikandan, Filip Misev, Léo Mousseau and Marithania Silvero.
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (accepted for publication).
arXiv:2312.07339 |
| 23. |
3-braid knots with maximal 4-genus
joint with Sebastian Baader, Filip Misev and Paula Truöl.
Transactions of the American Mathematical Society Series B 11 (2024), 600–621.
arXiv:2303.11918 |
| 22. |
Rasmussen invariants of Whitehead doubles and other satellites
joint with Claudius Zibrowius.
Journal für die Reine und Angewandte Mathematik (Crelle’s Journal) (accepted for publication).
arXiv:2208.13612
Videos of talks about this paper:  Oaxaca. |
| 21. |
Quasipositivity and braid index of pretzel knots
To appear in Communications in Analysis and Geometry 32 (2024), no. 5.
arXiv:2205.05347 |
| 20. |
On the values taken by slice torus invariants
joint with Peter Feller and Andrew Lobb
Mathematical Proceedings of the Cambridge Philosophical Society 176 (2024), no. 1, pp. 55–63.
arXiv:2202.13818 |
| 19. |
Squeezed Knots
joint with Peter Feller and Andrew Lobb
Quantum Topology (accepted for publication)
arXiv:2202.12289
Videos of talks about this paper: CIRGET,
Lipshitz & Sarkar @ ICM 2018. |
| 18. |
Khovanov homology and rational unknotting
joint with Damian Iltgen and Laura Marino
arXiv:2110.15107
Videos of talks about this paper: Georgia. |
| 17. |
Rasmussen invariants
joint with Claudius Zibrowius
published in June 2021. Not on the arXiv.
Mathematical Research Postcards, vol. 1 no. 2 |
| 16. |
Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials
joint with Stefan Friedl, Takahiro Kitayama, Matthias Nagel and Mark Powell
Canadian Journal of Mathematics 74 (2022), no. 4, pp. 1137–1176.
arXiv:2007.15289 |
| 15. |
Untwisting 3-strand torus knots
joint with Sebastian Baader and Ian Banfield
Bulletin of the London Mathematical Society 52 (2020), no. 3, pp. 429–436.
arXiv:1909.01003 , MR4171377 |
| 14. |
Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space
joint with Peter Feller
Journal of Differential Geometry 127 (2024), no. 1, pp. 213–275.
arXiv:1905.08305
Videos of talks about this paper: K-OS. |
| 13. |
Average four-genus of two-bridge knots
joint with Sebastian Baader, Alexandra Kjuchukova, Filip Misev and Arunima Ray
Proceedings of the AMS (accepted for publication)
arXiv:1902.05721 |
| 12. |
Almost positive links are strongly quasipositive
joint with Peter Feller and Andrew Lobb
Mathematische Annalen 385 (2023), pp. 481–510.
arXiv:1809.06692 |
| 11. |
Upsilon-like concordance invariants from sl(n) knot cohomology
joint with Andrew Lobb
Geometry & Topology 23 (2019), no. 2, pp. 745–780
arXiv:1707.00891 , MR3939052
Videos of talks about this paper: Cambridge. |
| 10. | Checkerboard graph monodromies
joint with Sebastian Baader and Livio Liechti
L'Enseignement Mathématique 64 (2018), no. 2, pp. 65–88
arXiv:1706.09210 , MR3959848 |
| 9. | On calculating the slice genera of 11- and 12-crossing knots
joint with Duncan McCoy
Experimental Mathematics 28 (2019), no. 1, pp. 81–94
arXiv:1508.01098v2 , MR3938580 |
| 8. | On classical upper bounds for slice genera
joint with Peter Feller
Selecta Mathematica 24 (2018), no. 5, pp. 4885–4916
arXiv:1611.02679 , MR3874707
Videos of talks about this paper: Cambridge,
Banff. |
| 7. | Khovanov width and dealternation number of positive braid links
joint with Sebastian Baader, Peter Feller and Raphael Zentner
Mathematical Research Letters 26 (2019), no. 3, pp. 627–641
arXiv:1610.04534 , MR4028096 |
| 6. | On the topological 4-genus of torus knots
joint with Sebastian Baader, Peter Feller and Livio Liechti
Transactions of the AMS 370 (2018), pp. 2639–2656
arXiv:1509.07634 , MR3748580 |
| 5. | The stable 4-genus of alternating knots
joint with Sebastian Baader
Asian Journal of Mathematics 21 (2017), no. 6, pp. 1183–1190
arXiv:1505.03345 , MR3778124 |
| 4. | New Quantum Obstructions to Sliceness
joint with Andrew Lobb
Proceedings of the LMS 112 (2016), no. 1, pp. 81–114
arXiv:1501.07138 , MR3458146 |
| 3. | On stable  -homology of torus knots
joint with Eugene Gorsky
Experimental Mathematics 24 (2015), no. 2, pp. 162–174
arXiv:1404.0623 , MR3350523 |
| 2. | Rasmussen's spectral sequences and the  -concordance invariants
Advances in Mathematics 260C (2014), pp. 59–83
arXiv:1310.3100 , MR3209349 |
| 1. | -foam homology calculations
Algebraic & Geometric Topology 13 (2013), no. 6, 3661–3686
arXiv:1212.2553 , MR3248745 |
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