Research

Preprints

35. Cubic graphs with no eigenvalues in the interval (−2, 0) with Gordon Royle. arXiv:2506.05861
36. Peak state transfer in continuous quantum walks with Gabriel Coutinho and Vincent Schmeits. arXiv:2505.11986
37. On cores of distance-regular graphs with Annemarie Geertsema and Chris Godsil. arXiv:2504.00129
38. State transfer in discrete-time quantum walks via projected transition matrices with Vincent Schmeits. Accepted at Electronic Journal of Combinatorics. arXiv:2411.05560
39. Characteristic Polynomials and Hypergraph Generating Functions via Heaps of Pieces with Josh Cooper and Utku Okur. arXiv:2411.03567
40. Spectral approaches for d-improper chromatic number with Ross J. Kang and Gabrielle Zwaneveld. arXiv:2411.06941
41. Pseudo-Geometric Strongly Regular Graphs with a Regular Point with Edwin van Dam. arXiv:2204.04755
42. Transversal polynomial of r-fold covers with Chris Godsil and Gordon Royle. arXiv:1910.05478
43. Cycle space of digraphs with Chris Godsil. arXiv:1609.09118

Published

26. Hypergraphs and simplicial complexes in focus: A roadmap for future research in higher-order interactions with Aida Abiad, Alex Arenas, Agnes Backhausz, Jozsef Balogh, Christopher R. S. Banerji, Sergio Barbarossa, Ginestra Bianconi, Christian Bick, Magnus Bakke Botnan, Timoteo Carletti, Lucia Cavallaro, Andrea Civilini, Tina Eliassi-Rad, Xue Gong, Heather Harrington, Juergen Jost, Paul L. Krapivsky, Pietro Liò, Ben MacArthur, Carolina Mattsson, Pedro Mediano, Ana Paula Millán, Raffaella Mulas, Alice Patania, Giovanni Petri, Cerene Rathilal, Ruben Jose Sanchez Garcia, Martina Scolamiero, Michael T. Schaub, Hanlin Sun, Yu Tian, Francesco Vaccarino and Xia Kelin. Journal of Physics: Complexity (2026).
27. Clique complexes of strongly regular graphs, their eigenvalues, and cohomology groups with Sebastian M. Cioabă, Chunxu Ji and Mutasim Mim. Linear Algebra and its Applications 730 (2026). arXiv:2508.05871
28. Cubic graphs with no eigenvalues in the interval (−1,1) with Gordon Royle. Journal of Combinatorial Theory, Series B (2025). arXiv:2409.02678
29. Selected Open Problems in Continuous-Time Quantum Walks with Gabriel Coutinho. Special Matrices, vol. 12, no. 1 (2024).
30. New eigenvalue bound on fractional chromatic number with Sam Spiro. Journal of Graph Theory 106(1), 167–181 (2024). arXiv:2211.04499
31. Perfect state transfer in quantum walks on orientable maps with Vincent Schmeits. Algebraic Combinatorics, Volume 7, no. 3, 713–747 (2024). arXiv:2211.12841
32. Simple eigenvalues of vertex-transitive cubic graphs with Bojan Mohar. Canadian Journal of Mathematics 76, 1–22 (2023).
33. Positive and Negative Square Energies of Graphs with Aida Abiad, Leonardo de Lima, Dheer Noal Desai, Leslie Hogben, and Jose Madrid. Electronic Journal of Linear Algebra, Vol. 39 (2023).
34. Diagonal entries of the average mixing matrix with Chris Godsil and Mariia Sobchuk. Australasian Journal of Combinatorics, Vol. 86(3), 373–386 (2023). arXiv:1910.02039
35. The chromatic index of strongly regular graphs with Sebastian M. Cioabă and Willem H. Haemers. Ars Mathematica Contemporanea, Vol. 20, No. 2 (2020). arXiv:1810.06660
36. Entanglement of free Fermions on Hadamard graphs with Nicolas Crampé and Luc Vinet. Nuclear Physics B, Vol. 960 (2020). arXiv:2008.04925
37. Short rainbow cycles in sparse graphs with Matt DeVos, Matthew Drescher, Daryl Funk, Sebastián González Hermosillo de la Maza, Tony Huynh, Bojan Mohar and Amanda Montejano. Journal of Graph Theory, Vol. 96, Issue 2 (2020). arXiv:1806.00825
38. State transfer in strongly regular graphs with an edge perturbation with Chris Godsil, Mark Kempton, Gabor Lippner and Florentin Münch. Journal of Combinatorial Theory, Series A, Vol. 172 (2020). arXiv:1710.02181
39. Partially ordering the class of invertible trees European Journal of Combinatorics, Volume 83 (2020), 103019. arXiv:1803.07181
40. The biclique covering number of grids with Tony Huynh and Marco Macchia. Electronic Journal of Combinatorics, Vol. 26 (2019). arXiv:1811.03396
41. Using the existence of t-designs to prove Erdős-Ko-Rado with Chris Godsil. Discrete Mathematics, Volume 342, Issue 10 (2019), 2846–2849. arXiv:1802.03444
42. A new perspective on the average mixing matrix with Gabriel Coutinho, Chris Godsil and Harmony Zhan. Electronic Journal of Combinatorics, Volume 25, Issue 4 (2018), #P4.14. arXiv:1709.03591
43. Average mixing matrix of trees with Chris Godsil and John Sinkovic. Electronic Journal of Linear Algebra, Volume 34, 269–282 (2018). arXiv:1709.07907
44. Quantum walks on generalized quadrangles with Chris Godsil and Tor Myklebust. Electronic Journal of Combinatorics, Volume 24, Issue 4 (2017), #P4.16. arXiv:1511.01962
45. Digraphs with Hermitian spectral radius below 2 and their cospectrality with paths with Bojan Mohar. Discrete Mathematics, Volume 340, Issue 11 (2017), 2616–2632.
46. Pretty good state transfer between internal nodes of paths with Gabriel Coutinho and Christopher M. van Bommel. Quantum Information and Computation, Vol. 17, No. 9&10 (2017), 825–830.
47. Spectral bound for separations in Eulerian digraphs Electronic Journal of Linear Algebra, Volume 32, 291–300 (2017).
48. Hermitian adjacency matrix of digraphs and mixed graphs with Bojan Mohar. Journal of Graph Theory, Vol. 85, Issue 1, 217–248 (2017). arXiv:1505.01321
49. Perfect state transfer on distance-regular graphs and association schemes with Gabriel Coutinho, Chris Godsil and Frédéric Vanhove. Linear Algebra and its Applications 478 (2015), 108–130. arXiv:1401.1745
50. Large regular bipartite graphs with median eigenvalue 1 with Bojan Mohar. Linear Algebra and its Applications 449 (2014), 68–75. arXiv:1309.7025
51. Quantum walks on regular graphs and eigenvalues with Chris Godsil. Electronic Journal of Combinatorics, Vol. 18, Issue 1, P165 (2011).

Conference Proceedings

• Lower bound computations for the nonnegative rank with Samuel Fiorini, Marco Macchia and Matthias Walter. 17th Cologne-Twente Workshop on Graphs and Combinatorial Optimization (2019).
• New constructions of completely non-cyclic Hadamard matrices, related function families and LCZ sequences with Guang Gong. Sequences and their Applications (SETA) 2010, LNCS Vol. 6338, 259–269.