Preprints:

• Special alternating links of minimal unlinking number
  - with JungHwan Park - arXiv 

• Cusp cross-section phenomena for arithmetic hyperbolic manifolds
  -with Connor Sell - arXiv 

• On 3-manifolds admitting co-orientable taut foliations, but none with vanishing Euler class
  - with Steve Boyer, Cameron Gordon & Ying Hu - arXiv

• Cusp types of arithmetic hyperbolic manifolds
  -with Connor Sell - arXiv 

• The search for alternating surgeries
  - with Ken Baker & Marc Kegel  - arXiv 

• Quasi-alternating surgeries
  - with Ken Baker & Marc Kegel  - accepted Exp. Math. - arXiv  

• A survey on embeddings of 3-manifolds in definite 4-manifolds
  - with Paolo Aceto & JungHwan Park - accepted Proceedings of MSJ-KMS Joint Meeting 2023 - arXiv 

Publications:

1. Definite fillings of lens spaces
   - with Paolo Aceto & JungHwan Park  - J. Differential Geom. 131(1): 1-41 (2025) - arXiv 

2. Two curious strongly invertible L-space knots  
   - with Ken Baker & Marc Kegel  - Adv. Math. 403 (2025), 110287- arXiv

3. Non-integer characterizing slopes and knot Floer homology
   - Int. Math. Res. Not. IMRN 2025-5, rnaf043, (2025) - arXiv  

4. Doubly slice Montesinos links
   - with Clayton McDonald - Michigan Math. J. 74 (1), (2024),  85-117 - arXiv 

5. Characterizing slopes for the (-2,3,7)-pretzel knot 

-Canad. Math. Bull. 66-3 (2023), 937-950 - arXiv 

6. The realization problem for non-integer Seifert fibered surgeries
   - with Ahmad Issa - Algebr. Geom. Topol. 23-4 (2023), 1501-1550- arXiv

7. The Montesinos trick for proper rational tangle replacement
   - with Raphael Zentner -  Proc. Amer. Math. Soc. 151 (2023), no. 4, 1811–1822 -  arXiv

8. Non-simply connected symplectic fillings of lens spaces
   - with Paolo Aceto & JungHwan Park - Bull. London Math. Soc. 54-3 (2022), 1010--1026 - arXiv

9. Surgeries, sharp 4-manifolds and the Alexander polynomial
   - Algebr. Geom. Topol. 21-5 (2021), 2649--2676 - arXiv

10. Null-homologous twisting and the algebraic genus
    - 2019–20 MATRIX annals, 147--165, Springer 2021   - arXiv

11. Gaps between consecutive untwisting numbers
    - Glasgow. Math. J. 63 (2021), no. 1, 59-67 - arXiv

12. Non-integer characterizing slopes for torus knots
    - Comm. Anal. Geom. 28 (2020), no. 7, 1647-1682- arXiv

13. Smoothly embedding Seifert fibered spaces in S^4
    - with Ahmad Issa -Trans. Amer. Math. Soc. 373 (2020), no. 7, 4933–4974 - arXiv

14. On Seifert fibered spaces bounding definite manifolds
    - with Ahmad Issa - Pacific J. Math. 304 (2020), No. 2, 463–480 - arXiv

15. On the characterising slopes of hyperbolic knots
    - Math. Res. Let. 26 (2019), no. 5, 1517-1526 - arXiv

16. On L-space knots obtained from unknotting arcs in alternating diagrams
    - with Andrew Donald & Faramarz Vafaee - New York J. Math. 25 (2019), 518–540 - arXiv

17. On calculating the slice genera of 11- and 12-crossing knots
    - with Lukas Lewark - Exp. Math. 28 (2019), no. 1, 81–94 - arXiv

18. Bounds on alternating surgery slopes
    - Algebr. Geom. Topol. 17 (2017), no. 5, 2603–2634 - arXiv

19. Alternating knots with unknotting number one
    - Adv. Math. 305 (2017), 757–802 - arXiv

20. On 2-bridge knots with differing smooth and topological slice genera
    - with Peter Feller - Proc. Amer. Math. Soc. 144 (2016), no. 12, 5435–5442 - arXiv

21. Non-integer surgery and branched double covers of alternating knots
    - J. Lond. Math. Soc. (2) 92 (2015), no. 2, 311–337 - arXiv

Other things:

1. The Small Seifert Fibred Embeddahedron
   -with Ahmad Issa - Mathematical Research Postcards - link