Publications
Journal publications: Algebraic Geometry and Mathematical Physics ____________
21. Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion
B. Eynard, E. Garcia-Failde, P. Gregori, D. Lewanski, R. Schiappa. Annales Henri Poincaré (2024). https://doi.org/10.1007/s00023-023-01412-z.
20. Topological recursion for double Hurwitz numbers
G. Borot, N. Do, M. Karev, D. Lewański, E.Moskovsky. Math. Annalen (2022): 1-65.
19. Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials
D. Chen, M. Möller, A. Sauvaget, with an appendix by G. Borot, A. Giacchetto, D. Lewański. Duke Math. J. 172(9), 2023, 1735-1779.
18. A natural basis for intersection numbers
B. Eynard, D. Lewański. Rendiconti dell'Istituto di Matematica dell'Università di Trieste (RIMUT), 2023. https://www.openstarts.units.it/handle/10077/35487.
17. On some hyperelliptic Hurwitz-Hodge integrals
D. Lewański. Math. Proc. Cambridge Phil. Soc., 175(2), 271-284.
16. An intersection-theoretic proof of the Harer-Zagier formula
A. Giacchetto, D. Lewański, P. Norbury. Algebraic Geometry 10 (2) (2023), 130–147.
15. Topological recursion for Masur-Veech volumes
J. E. Andersen, G. Borot, V. Delecroix, S. Charbonnier, A. Giacchetto, D. Lewański, C. Wheeler. J. London Math. Society, Vol.107 (1), 2023, 254-332.
14. On the Goulden-Jackson-Vakil conjecture for double Hurwitz numbers
N. Do, D. Lewański. Advances in Mathematics, 403 (2022).
13. Tropical Jucys covers
M. Anas Hahn, D.Lewański. Math. Zeitschrift (2022).
12. Wall-crossing and recursion formulae for tropical Jucys covers
M. Anas Hahn, D. Lewański. Transactions of the AMS 373 (2020), 4685-4711.
11. Half-spin tautological relations and Faber’s proportionalities of kappa classes
E. Garcia Failde, R. Kramer, D. Lewański, S. Shadrin. SIGMA, 15, [080] 2019.
10. Harer-Zagier formula via Fock space
D. Lewański. Communications in Number Theory and Physics,13 (2019), 3, 619-626.
9. Wall-crossing formulae and strong piecewise polynomiality for mixed Grothendieck dessins d’enfants, monotone and simple double Hurwitz numbers
M. Anas Hahn, R. Kramer, D. Lewański. Advances in Mathematics 336 (2018), 38-69.
8. Special cases of the orbifold version of Zvonkine’s r-ELSV formula
G. Borot, R. Kramer, D. Lewański, A. Popolitov, S. Shadrin. Michigan Mathematical Journal 70(2): (2021), 369-402.
7. Towards an orbifold generalization of Zvonkine’s r-ELSV formula
R. Kramer, D. Lewański, A. Popolitov, S. Shadrin. Transactions AMS, 372 (2019), 4447-4469.
6. The tautological ring of Mg,n via Pandharipande-Pixton-Zvonkine r-spin relations
R. Kramer, D. Lewański, F. Labib, S. Shadrin. Algebraic Geometry 5.6 (2018), 703-727.
5. Quasi-polynomiality of monotone orbifold Hurwitz numbers and Grothendieck’s dessins d’enfant
R. Kramer, D. Lewański, S. Shadrin. Documenta Mathematica 24, 857-898 (2019).
4. Ramifications of Hurwitz theory, KP integrability and quantum curves
A. Alexandrov, D. Lewański, S. Shadrin. Journal of High Energy Physics, 2016(5), December.
3. W -algebra constraints and topological recursion for A_N -singularity.
T. Milanov, with an appendix by D. Lewański. International J. of Mathematics 27, 1650110 (2016).
2. Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula
P. Dunin-Barkowski, D.Lewański, A. Popolitov, S. Shadrin. J. London Mathematical Society 92(3), 547-565, April 2015.
1. Chiodo formulas for the r-th roots and topological recursion
A. Popolitov, D.Lewański, S. Shadrin, D. Zvonkine. Letters in Mathematical Physics, 107(5), 901-919. 2015.
Preprints: Algebraic Geometry and Mathematical Physics _____________________
7. Stable tree expressions with Omega-classes and Double Ramification cycles
X. Blot, D. Lewański, P. Rossi, S. Shadrin. arXiv:2403.05190. Submitted.
6. On ELSV-type formulae and relations between Ω-integrals via deformations of spectral curves
G. Borot, M. Karev, D. Lewański. arXiv:2312.16049. Submitted.
5. Resurgent large genus asymptotics of intersection numbers
B. Eynard, E. Garcia-Failde, A. Giacchetto, P. Gregori, D. Lewański. arXiv:2309.03143. Submitted.
4. A new spin on Hurwitz theory and ELSV via theta characteristics
A. Giacchetto, R. Kramer, D. Lewański. arXiv:2104.05697. Submitted.
3. The spin Gromov-Witten /Hurwitz correspondence for P^1
A. Giacchetto, R. Kramer, D. Lewański, A. Sauvaget. arXiv:2208.03259. Submitted.
2. On the Kontsevich Geometry of the combinatorial Teichmüller space
J. E. Andersen, G. Borot, S. Charbonnier, A. Giacchetto, D. Lewański, C. Wheeler. arXiv:2010.11806. Submitted.
1. The spin Gromov-Witten /Hurwitz correspondence for P^1 ( Download here extra computations of the work above)
A. Giacchetto, R. Kramer, D. Lewański, A. Sauvaget.
Peer reviewed proceedings: _____________________________________________________
1. On ELSV-type formulae, Hurwitz numbers and topological recursion
D.Lewański. AMS Proceedings of Symposia in Pure Mathematics, Volume 100, 2018.
Preprints: Maths Education _____________________________________________________
1. A Rwanda Maths Camp in 2019 [Downloadable here]
Giacomo Bighin, Isaac Hitimana, Sandrine Irankunda, Timur Khalikov, Danilo Lewański, Aimable Ishimwe Manzi, Ihirwe Marie Mercie, Therese Mukamuziga, Jean de Dieu Munezero, David Niyitegeka, Herine Otieno, and Anisie Uwimana.
PhD Thesis (Universiteit van Amsterdam 2013 - 2017): __________________________________________
Moduli spaces of curves and enumerative geometry via topological recursion
D. Lewański. Openbaar verdedigen in de Agnietenkapel, Amsterdam, op 5 juli 2017.