List of Papers

Pre-prints

45. with Laura Grave de Peralta: “Expansion properties of Whitehead moves on cubic graphs”, arXiv:2303.13923
46. with Michael Werman: “Robust affine feature matching via quadratic assignment on Grassmannians”, arXiv:2303.02698
47. with Michael Werman: “An approach to robust ICP initialization”, arXiv:2212.05332
48. with Nikolay Bogachev & Alex Kontorovich: “Kleinian sphere packings, reflection groups, and arithmeticity”, arXiv:2203.01973
49. with Nikolay Bogachev: “Thin hyperbolic reflection groups”, arXiv:2112.14642
50. with Misha Belolipetsky, Nikolay Bogachev & Leone Slavich: “Subspace stabilisers in hyperbolic lattices”, arXiv:2105.06897
51. with Kiran S. Kedlaya, Bjorn Poonen & Michael Rubinstein: “Space vectors forming rational angles”, arXiv:2011.14232
    • An article in Quanta Magazine about this work (in English)
    • An article in Spectrum der Wissenschaft (auf Deutsch)
    • An article in La Regione (in italiano)
    • Swiss Radio RTS: expository interview with Antoine Houlou-Garcia (mathematical historian) about this work and its context (en français)
    • An expository article about this work in NRC (in het Nederlands)
    • An expository article in Inside-IT.ch (auf Deutsch)
    • A University of Neuchâtel press release (en français)

Published/Accepted papers

1. with Nikolay Abrosimov & Sasha Mednykh: “Euclidean volumes of hyperbolic knots”, Proc. Amer. Math. Soc., 2022 (to appear); arXiv:2107.03275
2. with Leonardo Ferrari & Alan W. Reid: “Infinitely many arithmetic hyperbolic rational homology 3-spheres that bound geometrically”, Trans. Amer. Math. Soc., 2022 (to appear); arXiv:2203.01997
3. with Liudmila Prokhorenkova, Dmitry Baranchuk, Nikolay Bogachev & Yury Demidovich: “Graph-based nearest neighbor search in hyperbolic spaces”, ICLR 2022, accessible via OpenReview
4. with Stefano Riolo & Steven Tschantz: “The signature of cusped hyperbolic 4-manifolds”, Int. Math. Res. Notices, 2022 (to appear); arXiv:2006.12095
5. with Maria Dostert: “Packable surfaces with symmetries”, Canadian Math. Bulletin, 2022; arXiv:2010.12028
6. with Edoardo Dotti: “Infinitely many quasi-arithmetic maximal reflection groups”, Proc. Amer. Math. Soc., 2022; arXiv:2109.03316
7. with Alexey Talambutsa: “On free semigroups of affine maps on the real line”, Proc. Amer. Math. Soc., 2021; arXiv:2105.09387
8. with Leonardo Ferrari & Leone Slavich: “Cusps of hyperbolic 4-manifolds and rational homology spheres”, Proc. London Math. Soc., 2021; arXiv:2009.09995
   • Ancillary files enclosed with the manuscript
9. with Rémi Bottinelli & Laura Ciobanu: “Three-dimensional maps and subgroup growth”, Manuscripta Math., 2021; arXiv:1712.01418
   • Rust code enclosed with the manuscript
   • SageMath worksheet enclosed with the manuscript
10. with Maria Dostert: “Kissing number in non-Euclidean spaces of constant sectional curvature”, EUROCOMB 2021, in: CRM Research Perspectives
11. with Alexey Talambutsa: “Growth rates of Coxeter groups and Perron numbers”, Int. Math. Res. Notices, 2021; arXiv:1912.05608
12. with Maria Dostert: “Kissing number in non-Euclidean spaces of constant sectional curvature”, Math. of Comp., 2020; arXiv:2003.05547
    • Ancillary files enclosed with the manuscript
13. with Stefano Riolo & Leone Slavich: “Embedding non-arithmetic hyperbolic manifolds”, Math. Res. Lett., 2020; arXiv:2003.01707
14. with Nikolay Bogachev: “On faces of quasi-arithmetic Coxeter polytopes”, Int. Math. Res. Notices, 2020; arXiv:2002.11445
    • SageMath worksheet enclosed with the manuscript
15. with Maria Dostert & Fernando M. de Oliveira: “Semidefinite programming bounds for the average kissing number”, Israel J. Math., 2020; arXiv:2003.11832
16. with Michelle Chu: “A hyperbolic counterpart to Rokhlin’s cobordism theorem”, Int. Math. Res. Notices, 2020; arXiv:1905.04774
    • Ancillary files enclosed with the manuscript: SageMath worksheets and Wolfram Mathematica notebooks
17. with Alexey Talambutsa: “Spherical and geodesic growth rates of right-angled Coxeter and Artin groups are Perron numbers”, Discrete Math., 2019; arXiv:1809.09591
18. with Rémi Bottinelli & Laura Grave de Peralta: “Telescopic groups and symmetries of combinatorial maps”, Algebraic Combinatorics, 2019; arXiv:1901.05710
19. with Sinai Robins: “Spherical Pythagorean triples, and volume rationality of spherical tetrahedra”, Math. of Comp., 2019; arXiv:1811.06598
    • SageMath worksheets enclosed with the manuscript
20. with Stefano Riolo: “Counting cusped hyperbolic 3-manifolds that bound geometrically”, Trans. Amer. Math. Soc., 2019; arXiv:1808.05681
21. with Alan W. Reid & Stefano Riolo: “Many cusped hyperbolic 3-manifolds do not bound geometrically”, Proc. Amer. Math. Soc., 2019; arXiv:1811.05509
22. with Laura Ciobanu: “Free subgroups of free products and combinatorial hypermaps”, Discrete Math., 2019; arXiv:1708.03842
    • SageMath worksheets enclosed with the manuscript
23. with Alan W. Reid & Leone Slavich: “Embedding arithmetic hyperbolic manifolds”, Math. Res. Lett., 2018; arXiv:1703.10561
24. “Volume formulae for fibred cone-manifolds with spherical geometry”, Sbornik: Mathematics, 2016; link
25. with Jun Murakami: “Combinatorial decompositions, Kirillov-Reshetikhin invariants and the Volume Conjecture for hyperbolic polyhedra”, Experimental Math., 2016; arXiv:1603.02380
26. with Leone Slavich: “Hyperbolic four-manifolds, colourings and mutations”, Proc. London Math. Soc., 2016; arXiv:1507.02747
27. with Laura Ciobanu: “Geodesic growth of RACGs based on trees”, Journal of Algebraic Combinatorics, 2016; arXiv:1504.02774
    • SageMath worksheet enclosed with the manuscript
28. with Jun Murakami: “The dual Jacobian of a generalised tetrahedron, and volumes of prisms”, Tokyo Journal of Mathematics, 2016; arXiv:1409.3355
29. with Leone Slavich: “Symmetries of hyperbolic 4-manifolds”, Int. Math. Res. Notices, 2015; arXiv:1409.1910
    • SageMath worksheet enclosed with the manuscript
30. with Bruno Martelli & Steven Tschantz: “Some hyperbolic three-manifolds that bound geometrically”, Proc. Amer. Math. Soc., 2015; arXiv:1311.2993
    • Wolfram Mathematica notebook enclosed with the manuscript
31. with Bruno Martelli: “Hyperbolic four-manifolds with one cusp”, Geom. and Funct. Anal., 2013; arXiv:1303.6122
32. with Ruth Kellerhals: “The minimal growth rate of cocompact Coxeter groups in hyperbolic 3-space”, Canadian J. Math., 2013; authors’ draft
33. “Examples of rigid and flexible Seifert fibred cone-manifolds”, Glasgow Math. Journal, 2013; arXiv:1004.2376
34. “On the optimality of the ideal right-angled 24-cell”, Algebr. Geom. Topol., 2012; arXiv:1211.2944
35. with Jun Murakami: “Volume of a doubly truncated hyperbolic tetrahedron”, Aequationes Mathematicae, 2012; arXiv:1203.1061
36. “Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers”, European J. Comb., 2012; arXiv:1105.6267
37. with Sasha Mednykh & Marina Pashkevich: “Volume formula for a Z_2-symmetric spherical tetrahedron through its edge lengths”, Arkiv för Matematik, 2011; arXiv:1007.3948
38. with Sasha Mednykh: “Spherical structures on torus knots and links”, Siberian Math. Journal, 2009; arXiv:1008.0312
    • A short addendum (unpublished)

Some of the above papers and pre-prints are part of the AIM Pre-print series.

You may also wish to access the list of my paper directly on arXiv or HAL. See also my ORCid digital identifier.