50. Spectral curves without embeddings (with E. Boulter)
- Year | 2025
- arXiv | math.AG:2507.02127
- Status | Accepted, to appear in Comptes Rendus Mathématiques de l'Académie des Sciences
49. Reconstructing biological pathways by applying selective incremental learning to (very) small language models (with P. Saha, J. Reimer, B. Byrns, C. Burbridge, N. Dhar, J. Chen, G. Broderick)
- Year | 2025
- arXiv | q-bio.MN/cs.CL/IT/LG/PF:2507.04432
- Status | Submitted
48. GPU-accelerated modeling of biological regulatory networks (with J. Reimer, P. Saha, C. Chen, N. Dhar, B. Byrns, G. Broderick)
- Year | 2025
- arXiv | q-bio.MN/math.OC/q-bio.QM/cs.PF:2506.19866
- Status | Submitted
47. Identifying protein co-regulatory network logic by solving B-SAT problems through gate-based quantum computing (with A. Erlandsson Brisebois, J. Broderick, Z. Khatooni, H. Wilson, G. Broderick)
- Year | 2025
- arXiv | quant-ph/q-bio.MN:2504.09365
- Status | Accepted, to appear in Proceedings of IEEE QCE25
46. A systematic approach to hyperbolic quantum error correction codes (with A. Mahmoud, K. Ali)
- Year | 2025
- arXiv | quant-ph/cs.DS/math.AG/DG/GR:2504.07800
- Status | Submitted
45. Direct entanglement ansatz learning (DEAL) with ZNE on error-prone superconducting qubits (with Z. Guo, W. Hu, Z. Pan)
- Year | 2025
- arXiv | quant-ph:2504.04021
- Status | Accepted, to appear in Proceedings of IEEE QCE25
44. Topological recursion and variations of spectral curves for twisted Higgs bundles (with C. Mahadeo)
- Year | 2025
- arXiv | math.AG/DG/SG/CV/math-ph:2401.06694
- Journal | J. Geom. Phys. 213 (2025), 105459
- DOI | 10.1016/j.geomphys.2025.105459
43. Classical and quantum algorithms for the deterministic L-system inductive inference problem (with A. Lotfi, I. McQuillan)
- Year | 2024
- arXiv | quant-ph/cs.CL/FL/LG:2411.19906
- Status | Submitted
42. Nakajima quiver bundles (with L. Jeffrey, M. Koban)
- Year | 2024
- arXiv | math.AG/math-ph/math.DG/RT/SG:2412.05457
- Status | Submitted
41. All 81 crepants resolutions of a finite quotient singularity are hyperpolygon spaces (with G. Bellamy, A. Craw, T. Schedler, H. Weiss)
- Year | 2024
- arXiv | math.AG/RT/SG:2112.09878
- Journal | J. Algebraic Geom. 33 (2024), no. 4, 757--793
- DOI | 10.1090/jag/827
40. Very stable and wobbly loci for elliptic curves (with K. Banerjee)
- Year | 2024
- arXiv | math.AG/RT:2411.06335
- Status | Submitted
39. Asynchronous telegate and teledata protocols for distributed quantum computing (with J. Peckham, D. Makaroff)
- Year | 2024
- arXiv | quant-ph/cs.NI:2407.14987
- Journal | 2024 IEEE 10th World Forum on Internet of Things (WF-IoT), Ottawa, ON, Canada, 2024, pp. 1--6
- DOI | 10.1109/WF-IoT62078.2024.10811197
38. TQFTs and quantum computing (with M. Azam)
- Year | 2024
- arXiv | quant-ph/hep-th/math.CT/math.DG:2210.03556
- Journal | Bull. Sci. Math. 194 (2024), 103454
- DOI | 10.1016/j.bulsci.2024.103454
37. Moduli stacks of quiver bundles with applications to Higgs bundles (with M. Azam)
- Year | 2024
- arXiv | math.AG/CT/DG/RT:2407.11958
- Status | Submitted
36. On the hyperbolic Bloch transform (with Á. Nagy)
- Year | 2024
- arXiv | math-ph/cond-mat.mes-hall/hep-th/cond-mat.other/quant-ph:2208.02749
- Journal | Ann. Henri Poincaré 25 (2024), no. 3, 1713--1732
- DOI | 10.1007/s00023-023-01336-8
35. A generalized spectral correspondence (with K. Banerjee)
- Year | 2023
- arXiv | math.AG/RT:2310.02413
- Status | Accepted, to appear in Advances in Complex Lagrangians, Integrable Systems, and Quantization
34. Kirwan surjectivity and Lefschetz-Sommese theorems for a generalized hyperkähler reduction (with J. Fisher, L. Jeffrey, A. Malusà)
- Year | 2023
- arXiv | math.SG/AG/AT/DG:2305.15651
- Journal | Geom. Dedicata 217 (2023), article no. 94
- DOI | 10.1007/s10711-023-00831-w
33. Hyperbolic band theory through Higgs bundles (with E. Kienzle)
- Year | 2022
- arXiv | math-ph/cond-mat.mes-hall/hep-th/quant-ph/math.AGMP:2201.12689
- Journal | Adv. Math. 409 (2022), paper no. 108664
- DOI | 10.1016/j.aim.2022.108664
32. The Kapustin-Witten equations and nonabelian Hodge theory (with C.-C. Liu, Y. Tanaka)
- Year | 2022
- arXiv | math.DG/hep-th/math.AG:2012.06175
- Journal | Eur. J. Math 8 (2022), suppl. 1, 23--41
- DOI | 10.1007/s40879-022-00538-4
31. Crystallography of hyperbolic lattices (with I. Boettcher, A. Gorshkov, A. Kollár, J. Maciejko, R. Thomale)
- Year | 2022
- arXiv | cond-mat.str-el/cond-mat.mes-hall/cond-mat.stat-mech/math-ph/math.MP/quant-ph:2105.01087
- Journal | Phys. Rev. B 105 (2022), no. 12, 125118
- DOI | 10.1103/PhysRevB.105.125118
- Comment | Editor's Pick at Phys. Rev. B
30. Automorphic Bloch theorems for hyperbolic lattices (with J. Maciejko)
- Year | 2022
- arXiv | cond-mat.mes-hall/hep-th/math-ph/math.AG/RT:2108.09314
- Journal | PNAS 119 (2022), no. 9,
- DOI | 10.1073/pnas.2116869119
29. Quantum matter from algebraic geometry and number theory
- Year | 2022
- Status | Accepted, to appear in Proceedings of the Nankai Symposium on Mathematical Dialogues
- Download | Local
28. Explicit Poincaré duality in the cohomology ring of the SU(2) character variety of a surface (with L. Jeffrey, A. Lindberg)
- Year | 2021
- arXiv | math.DG/AG/SG:2007.00196
- Journal | Expo. Math. 39 (2021), no. 3, 411--419
- DOI | 10.1016/j.exmath.2020.06.003
27. Hyperbolic band theory (with J. Maciejko)
- Year | 2021
- arXiv | cond-mat.mes-hall/hep-th/math-ph/math.AG/quant-ph:2008.05489
- Journal | Sci. Adv. 7 (2021), no. 36, abe9170
- DOI | 10.1126/sciadv.abe9170
26. Moduli spaces of generalized hyperpolygons (with L. Schaposnik)
- Year | 2021
- arXiv | math.AG/DG/SG/RT/hep-th:2001:06911
- Journal | Q. J. Math. 72 (2021), no. 1--2, 137--161
- DOI | 10.1093/qmath/haaa036
25. Toric co-Higgs bundles on toric varieties (with I. Biswas, A. Dey, M. Poddar)
- Year | 2021
- arXiv | math.AG/DG:2004.00730
- Journal | Illinois J. Math. 65 (2021), no. 1, 181--190
- DOI | 10.1215/00192082-8827663
24. Twisted cyclic quiver varieties on curves (with E. Sundbo)
- Year | 2021
- arXiv | math.AG/RT:1905.11508
- Journal | Eur. J. Math. 7 (2021), no. 1, 205--225
- DOI | 10.1007/s40879-019-00365-0
23. What is...a hyperpolygon? (with L. Schaposnik)
- Year | 2021
- Journal | Notices Amer. Math. Soc. 68 (2021), no. 1, 94--97
- Download | AMS.org
- DOI | 10.1090/noti2204
22. Homogeneous Higgs and co-Higgs bundles on Hermitian symmetric spaces (with I. Biswas)
- Year | 2020
- arXiv | math.AG/DG:1910.12365
- Journal | Internat. J. Math. 31 (2020), no. 14, 2050118, 20 pp.
- DOI |10.1142/S0129167X20501189
21. Nonabelian Hodge theory and vector-valued modular forms (with C. Franc)
- Year | 2020
- arXiv | math.NT/AG/DG:1812.06180
- Journal | AMS Contemp. Math. 753 (2020), 95--118
- DOI | 10.1090/conm/753/15166
20. Principal co-Higgs bundles on P1 (with I. Biswas, O. García-Prada, J. Hurtubise)
- Year | 2020
- arXiv | math.AG:1810.12376
- Status | Proc. Edinb. Math. Soc. (2) 63 (2020), no. 2, 512--530
- DOI | 10.1017/S0013091520000024
19. The Calogero-Françoise integrable system: algebraic geometry, Higgs fields, and the inverse problem (with T. Stanley, J. Szmigielski)
- Year | 2020
- arXiv | math-ph/math.AG/nlin.SI:1809.06513
- Journal | London Math. Soc. Lect. Note Ser. 458 (2020), 356--382
- DOI | 10.1017/9781108773287.015
18. Ginzburg-Landau equations on Riemann surfaces of higher genus (with D. Chouchkov, N. Ercolani, I. M. Sigal)
- Year | 2020
- arXiv | math.AP/math-ph:1704.03422
- Journal | Ann. Inst. Henri Poincaré C 37 (2020), no. 1, 79--103
- DOI | 10.1016/j.anihpc.2019.04.002
17. Hyperpolygons and Higgs bundles
- Year | 2019
- Journal | Oberwolfach Rep. 16, no. 2, 1361--1363
- MFO Activity | Workshop 1920: Geometry and Physics of Higgs Bundles
- Download | Local
- DOI | 10.4171/OWR/2019/23
16. Abstract integrable systems on hyperkähler manifolds arising from Slodowy slices (with P. Crooks)
- Year | 2019
- arXiv | math.SG/AG/DG/RT: 1706.05819
- Journal | Math. Res. Lett. 26 (2019), no. 1, 9--33
- DOI | 10.4310/MRL.2019.v26.n1.a2
15. Spectral curves for the triple reduced product of coadjoint orbits for SU(3) (with J. Hurtubise, L. Jeffrey, P. Selick, J. Weitsman)
- Year | 2018
- arXiv | math.AG/DG/SG:1708.00752
- Journal | Geometry and Physics Vol II: A Festschrift in Honour of Nigel Hitchin (2018), 611--622
- DOI | 10.1093/oso/9780198802020.003.0025
14. Aspects of the topology and combinatorics of Higgs bundle moduli spaces
- Year | 2018
- arXiv | math.AG/hep-th/math.AT/CO/DG:1809.05732
- Journal | SIGMA 14 (2018), paper no. 129, 18 pages
- DOI | 10.3842/SIGMA.2018.129
13. Geodesics on a Kerr-Newman-(anti-)de Sitter instanton (with A. Lindberg)
- Year | 2018
- arXiv | math.DG/gr-qc:1805.08887
- Journal | J. Geom. Phys. 132 (2018), 114--130
- DOI | 10.1016/j.geomphys.2018.05.018
12. Twisted argyle quivers and Higgs bundles (with E. Sundbo)
- Year | 2018
- arXiv | math.AG/DG/RT:1803.04531
- Journal | Bull. Sci. Math. 146 (2018), 1--32
- DOI | 10.1016/j.bulsci.2018.03.003
11. A vanishing theorem for co-Higgs bundles on the moduli space of bundles (with I. Biswas)
- Year | 2018
- arXiv | math.AG/math-ph:1609.03655
- Journal | Geom. Dedicata 193 (2018), 145--154
- DOI | 10.1007/s10711-017-0259-4
10. The triple reduced product and Hamiltonian flows (with L. Jeffrey, G. Seal, P. Selick, J. Weitsman)
- Year | 2018
- Journal | Trends Math. 93 (2018), 41--55
- DOI | 10.1007/978-3-319-63594-1_6
- Code | GitHub:ReducedProduct/Triple
9. The quiver at the bottom of the twisted nilpotent cone on P1
- Year | 2017
- arXiv | math.AG/RT/DG/math-ph: 1609.08226
- Journal | Eur. J. Math. 3 (2017), no. 1, 1--21
- DOI | 10.1007/s40879-016-0120-6
8. Some results on equivariant contact geometry for partial flag varieties (with P. Crooks)
- Year | 2016
- arXiv | math.RT/AG/DG: 1505.03127
- Journal | Internat. J. Math. 27 (2016), no. 8, 1650066, 13 pp.
- DOI |10.1142/S0129167X1650066X
7. Hyperpolygons and Hitchin systems (with J. Fisher)
- Year | 2016
- arXiv | math.AG/SG: 1410.6467
- Journal | Int. Math. Res. Notices IMRN (2016), no. 6, 1839--1870
- DOI | 10.1093/imrn/rnv172
6. Introduction to nonabelian Hodge theory: flat connections, Higgs bundles, and complex variations of Hodge structure (with A. García-Raboso)
- Year | 2015
- arXiv | math.CV/AG/DG: 1406.1693
- Journal | Fields Inst. Monogr. 34 (2015), 131--171
- ISBN | 978-1-4939-2829-3
5. Constructing co-Higgs bundles on CP2
- Year | 2014
- arXiv | math.AG/DG: 1309.7014
- Journal | Q. J. Math. 65 (2014), no. 4, 1437--1460
- DOI | 10.1093/qmath/hau017
4. Co-Higgs bundles on P1
- Year | 2013
- arXiv | math.AG/DG: 1010.2656
- Journal | New York J. Math. 19 (2013), 925--945
- ISSN | 1076-9803/2013
3. Geometry of co-Higgs bundles
- Year | 2011
- Dissertation | Ph.D. Thesis (Oxford)
- Record | The British Library
- Download | Oxford Mathematical Institute or INSPIRE-HEP or Local
2. Moduli of anti-Higgs bundles over the projective line
- Year | 2008
- Dissertation | Transfer of Status Thesis (Oxford)
1. Particle dynamics in Kerr-Newman-de Sitter spacetimes
- Year | 2007
- Dissertation | M.Sc. Thesis (McGill)
- Record | McGill Libraries
You can find my works on the arXiv, INSPIRE-HEP, Google Scholar, and ORCiD.