Publications
Algebraic Geometry and Mathematical Physics _______________________________
30. Completed cycles leaky Hurwitz numbers
D. Accadia, D. Lewański, M. Karev. Accepted in IMRN (2025). arXiv:2502.00860.
29. A new spin on Hurwitz theory and ELSV via theta characteristics
A. Giacchetto, R. Kramer, D. Lewański. Accepted in Selecta mathematica (2025). arXiv:2104.05697.
28. The spin Gromov-Witten /Hurwitz correspondence for P^1
A. Giacchetto, R. Kramer, D. Lewański, A. Sauvaget. Journal of the European Mathematical Society (2025), 10.4171/JEMS/1588.
27. Stable tree expressions with Omega-classes and Double Ramification cycles
X. Blot, D. Lewański, P. Rossi, S. Shadrin. Journal of Geometry and Physics (2025), 209, 105391.
26. 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 D (2024).
25. Topological recursion and applications
D.Lewański. Workshop Riemann Surfaces: Random, Flat, and Hyperbolic Geometry. Oberwolfach Reports n. 41 (2024).
24. Les Houches lecture notes on moduli spaces of Riemann surfaces
A. Giacchetto, D.Lewański. arXiv:2410.13273. To be published by SciPost on the Les Houches Series of the School "Quantum Geometry", Jul - Aug 2024.
23. Double Hurwitz numbers: polynomiality, topological recursion and intersection theory
G. Borot, N. Do, M. Karev, D. Lewański, E.Moskovsky. Math. Annalen (2022): 1-65.
22. On ELSV-type formulae and relations between Ω-integrals via deformations of spectral curves
G. Borot, M. Karev, D. Lewański. Journal of Geometry and Physics (2025), 207, 105343.
21. 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.
20. 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.
19. On some hyperelliptic Hurwitz-Hodge integrals
D. Lewański. Math. Proc. Cambridge Phil. Soc., 175(2), 271-284.
18. An intersection-theoretic proof of the Harer-Zagier formula
A. Giacchetto, D. Lewański, P. Norbury. Algebraic Geometry 10 (2) (2023), 130–147.
17. 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.
16. On the Goulden-Jackson-Vakil conjecture for double Hurwitz numbers
N. Do, D. Lewański. Advances in Mathematics, 403 (2022).
15. Tropical Jucys covers
M. Anas Hahn, D.Lewański. Math. Zeitschrift (2022).
14. Wall-crossing and recursion formulae for tropical Jucys covers
M. Anas Hahn, D. Lewański. Transactions of the AMS 373 (2020), 4685-4711.
13. On ELSV-type formulae, Hurwitz numbers and topological recursion
D.Lewański. AMS Proceedings of Symposia in Pure Mathematics, Volume 100, 2018.
12. Half-spin tautological relations and Faber’s proportionalities of kappa classes
E. Garcia Failde, R. Kramer, D. Lewański, S. Shadrin. SIGMA, 15, [080] 2019.
11. Harer-Zagier formula via Fock space
D. Lewański. Communications in Number Theory and Physics,13 (2019), 3, 619-626.
10. 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.
9. 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.
8. Towards an orbifold generalization of Zvonkine’s r-ELSV formula
R. Kramer, D. Lewański, A. Popolitov, S. Shadrin. Transactions AMS, 372 (2019), 4447-4469.
7. 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.
6. 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).
5. Ramifications of Hurwitz theory, KP integrability and quantum curves
A. Alexandrov, D. Lewański, S. Shadrin. Journal of High Energy Physics, 2016(5), December.
4. 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).
3. 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.
2. 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.
1. Moduli spaces of curves and enumerative geometry via topological recursion
D. Lewański. PhD Thesis (Universiteit van Amsterdam 2013 - 2017): Openbaar verdedigen in de Agnietenkapel, Amsterdam, op 5 juli 2017.
Preprints: Algebraic Geometry and Mathematical Physics_________________________
9. Spin Virasoro constraints
A. Giacchetto, R. Kramer, D. Lewański. In preparation.
8. Invariants of nested Hilbert and Quot schemes on surfaces II
N. Fasola, M. Graffeo, D. Lewański, S. Monavari, R. Moschetti, A. T. Ricolfi. In preparation.
7. On Hamiltonians for the quantum DR Hierarchy - the rank one case
D. Accadia, D. Lewański. In preparation.
6. A cohomological representation for quantum tau functions
X. Blot, D. Lewański, S.Shadrin. arXiv:2411.03499. Submitted.
5. Rooted trees with level structures, Ω-classes and double ramification cycles
X. Blot, D. Lewański, S. Shadrin. arXiv:2406.06205. Submitted.
4. On the strong DR/DZ conjecture
X. Blot, D. Lewański, S. Shadrin. arXiv:2405.12334. Submitted.
3. Resurgent large genus asymptotics of intersection numbers
B. Eynard, E. Garcia-Failde, A. Giacchetto, P. Gregori, D. Lewański. arXiv:2309.03143. Submitted.
2. Invariants of nested Hilbert and Quot schemes on surfaces
N. Fasola, M. Graffeo, D. Lewański, A. T. Ricolfi. arXiv:2503.14175. Submitted.
1. 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.
Books: _________________________________________________________________________________
1. A rapidly divergent tale about Hurwitz, Lambert, Frobenius, enumerative geometry and quasi modular forms
D.Lewański, D. Zagier. (In preparation).
Unpublished side computations related to the papers above______________________
2. Download here extra computations related to the work 'The spin Gromov-Witten /Hurwitz correspondence for P^1'
A. Giacchetto, R. Kramer, D. Lewański, A. Sauvaget.
1. Download here extra computations related to the work 'A cohomological representation for quantum tau functions'
X. Blot, D. Lewański, S. Shadrin.
Maths Education ______________________________________________
4. [W1] Leveraging Large Language Models to Identify and Classify Student Errors in Higher Education Mathematics Using the STACK Dataset
M. W. d’A. Dogbalou, G. Lawi, H. Otieno, A. Rodriguez-Garcia, D. Lewański. Proceeding of the AFRICME 7 conference in South Africa (peer reviewed, 2025).
3. [4P] Latent Class Analysis of Student Attitudes and Performance in Online Mathematics Assessments: A Technology Acceptance Model Approach
D. Doz, M. W. d’A. Dogbalou, Z. O. Juma, D. Lewański. International Journal of Mathematics Education in Science and Technology (2025).
2. [2P] Students Attitudes on STACK Content - A Pilot Study at the University of Trieste, Italy
Z.O. Juma, E.Chelleri, D.Doz, D. Lewański. Journal of Advanced Sciences and Mathematics Education. Vol 4, No 1 (2024). https://doi.org/10.58524/jasme.v4i1.357.
1. [1P] Assessing Student Perspectives on STACK Implementation in University Mathematics Courses: A Case Study at the University of Trieste (UniTS), Italy
E.Chelleri, D.Doz, Z.O. Juma, M. W. d’A. Dogbalou, D. Lewański. International Journal of Mathematics Education in Science and Technology (2025).
Preprints: Maths Education _____________________________________
2. [3P] Evaluating the Impact of Continuous Assessment using STACK Technology on Final Exam Performance
Z.O. Juma, D.Doz, M. W. d’A. Dogbalou, D. Lewański. Submitted to International Journal of Mathematics Education in Science and Technology.
1. [1Q] 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.