Davide Gaiotto | Perimeter Institute

Teaching Affiliations

If you are interested in pursuing a MSc degree, please apply to the Perimeter Scholars International (PSI) masters program. If you are interested in working with me as a PhD student, please send me an email at [email protected]. The PSI program offers the simplest route to work with me as a PhD student.

Research Interests

My research primarily focuses on theoretical and mathematical physics, with a particular emphasis on the interplay between quantum field theory (QFT), string theory, algebra and geometry. Much of my work concerns QFTs which are supersymmetric or topological.

Awards

2024 Frontiers of Science Award, 2024 International Congress of Basic Science, 2024
Simons Collaboration on Confinement and QCD Strings, Simons Foundation, 2022-2026
Discovery Grant, Natural Sciences and Engineering Research Council of Canada (NSERC), 2019-2024
New Horizons in Physics Prize, Fundamental Physics Prize Foundation, 2013
The Gribov Medal, European Physical Society, 2011

Recent Publications

Balduf, P. -H., & Gaiotto, D. (n.d.). Combinatorial proof of a non-renormalization theorem. Journal of High Energy Physics, 2025(5), 120. doi:10.1007/jhep05(2025)120
Gaiotto, D., & Teschner, J. (n.d.). Quantum analytic Langlands correspondence. SciPost Physics, 18(4), 144. doi:10.21468/scipostphys.18.4.144
Gaiotto, D., & Teschner, J. (2025). Quantum Analytic Langlands Correspondence. doi:10.21468/scipost.report.10932
Gaiotto, D., & Abajian, J. (n.d.). Twisted M2 brane holography and sphere correlation functions. Journal of High Energy Physics, 2025(3), 195. doi:10.1007/jhep03(2025)195
Gaiotto, D., & Kim, H. (n.d.). 3D TFTs from 4d N = 2 BPS particles. Journal of High Energy Physics, 2025(3), 173. doi:10.1007/jhep03(2025)173
Ambrosino, F., & Gaiotto, D. (2025). Renormalization Group flow in Schur quantization. arxiv:2503.16685v1
Gaiotto, D., & Teschner, J. (2025). Quantum Analytic Langlands Correspondence. doi:10.21468/scipost.report.10644
Gaiotto, D. (n.d.). Sphere quantization of Higgs and Coulomb branches and Analytic Symplectic Duality. Journal of High Energy Physics, 2025(1), 188. doi:10.1007/jhep01(2025)188
Costello, K., & Gaiotto, D. (n.d.). Twisted holography. Journal of High Energy Physics, 2025(1), 87. doi:10.1007/jhep01(2025)087
Gaiotto, D., & Oh, J. (n.d.). Aspects of O-deformed M-theory. Journal of High Energy Physics, 2024(12), 184. doi:10.1007/jhep12(2024)184
Gaiotto, D. (n.d.). Vertex algebra constructions for (analytic) geometric Langlands in genus zero. Journal of High Energy Physics, 2024(12), 139. doi:10.1007/jhep12(2024)139
Costello, K., Gaiotto, D., & Yagi, J. (n.d.). Q-operators are ’t Hooft lines. Journal of High Energy Physics, 2024(11), 3. doi:10.1007/jhep11(2024)003
Gaiotto, D., López-Raven, A., Silverans, H., & Zeng, K. (2024). Categorical 't Hooft expansion and chiral algebras. arxiv:2411.00760v1
Gaiotto, D., & Kim, H. (2024). 3D TFTs from 4d ${\cal N}=2$ BPS Particles. arxiv:2409.20393v1
Gaiotto, D., & Verlinde, H. (2024). SYK-Schur duality: Double scaled SYK correlators from $N=2$ supersymmetric gauge theory. arxiv:2409.11551v1
Balduf, P. -H., & Gaiotto, D. (2024). Combinatorial proof of a Non-Renormalization Theorem. arxiv:2408.03192v2
Gaiotto, D., & Lee, J. H. (n.d.). The giant graviton expansion. Journal of High Energy Physics, 2024(8), 25. doi:10.1007/jhep08(2024)025
Zhou, Z., Gaiotto, D., He, Y. -C., & Zou, Y. (n.d.). The $g$-function and defect changing operators from wavefunction overlap on a fuzzy sphere. SciPost Physics, 17(1), 021. doi:10.21468/scipostphys.17.1.021
Gaiotto, D., & Teschner, J. (2024). Schur Quantization and Complex Chern-Simons theory. arxiv:2406.09171v2
Gaiotto, D., Grygoryev, N., & Li, W. (2024). Categories of Line Defects and Cohomological Hall Algebras. arxiv:2406.07134v2
Zhou, Z., Gaiotto, D., He, Y. -C., & Zou, Y. (2024). The $g$-function and Defect Changing Operators from Wavefunction Overlap on a Fuzzy Sphere. doi:10.21468/scipost.report.9169
Budzik, K., Gaiotto, D., Kulp, J., Williams, B. R., Wu, J., & Yu, M. (n.d.). Semi-chiral operators in 4d N = 1 gauge theories. Journal of High Energy Physics, 2024(5), 245. doi:10.1007/jhep05(2024)245
Zhou, Z., Gaiotto, D., He, Y. -C., & Zou, Y. (2024). The $g$-function and Defect Changing Operators from Wavefunction Overlap on a Fuzzy Sphere. doi:10.21468/scipost.report.8822
Gaiotto, D., Kulp, J., & Wu, J. (2024). Higher Operations in Perturbation Theory. arxiv:2403.13049v1
Gaiotto, D., & Teschner, J. (2024). Quantum Analytic Langlands Correspondence. doi:10.21468/SciPostPhys.18.4.144
Gaiotto, D., & Witten, E. (2024). Gauge Theory and the Analytic Form of the Geometric Langlands Program. Annales Henri Poincaré, 25(1), 557-671. doi:10.1007/s00023-022-01225-6
Budzik, K., & Gaiotto, D. (n.d.). Twisted holography without conformal symmetry. Journal of High Energy Physics, 2023(12), 104. doi:10.1007/jhep12(2023)104
Budzik, K., & Gaiotto, D. (n.d.). Giant gravitons in twisted holography. Journal of High Energy Physics, 2023(10), 131. doi:10.1007/jhep10(2023)131
Gaiotto, D., Rapcák, M., & Zhou, Y. (2023). Deformed Double Current Algebras, Matrix Extended $\mathcal W_{\infty}$ Algebras, Coproducts, and Intertwiners from the M2-M5 Intersection. arxiv:2309.16929v3
Gaiotto, D., & Khan, A. (2023). Categorical Pentagon Relations and Koszul Duality. arxiv:2309.12103v1
Gaiotto, D., Hilburn, J., Redondo-Yuste, J., Webster, B., & Zhou, Z. (2023). Twisted traces on abelian quantum Higgs and Coulomb branches. arxiv:2308.15198v2
Gaiotto, D., & Johnson-Freyd, T. (n.d.). Mock modularity and a secondary elliptic genus. Journal of High Energy Physics, 2023(8), 94. doi:10.1007/jhep08(2023)094
Gaiotto, D., Moore, G. W., Neitzke, A., & Yan, F. (2023). Commuting Line Defects At $q^N=1$. doi:10.48550/arxiv.2307.14429
Gaiotto, D. (2023). Sphere quantization of Higgs and Coulomb branches and Analytic Symplectic Duality. arxiv:2307.12396v1
Budzik, K., Gaiotto, D., Kulp, J., Wu, J., & Yu, M. (n.d.). Feynman diagrams in four-dimensional holomorphic theories and the Operatope. Journal of High Energy Physics, 2023(7), 127. doi:10.1007/jhep07(2023)127
Budzik, K., & Gaiotto, D. (2022). Twisted holography without conformal symmetry. doi:10.48550/arxiv.2211.01419
Costello, K., Dimofte, T., & Gaiotto, D. (2023). Boundary Chiral Algebras and Holomorphic Twists. Communications in Mathematical Physics, 399(2), 1203-1290. doi:10.1007/s00220-022-04599-0
Dedushenko, M., & Gaiotto, D. (2022). Correlators on the wall and sln spin chain. Journal of Mathematical Physics, 63(9), 092301. doi:10.1063/5.0073021
Gaiotto, D., & Rapcák, M. (2022). Miura operators, degenerate fields and the M2-M5 intersection. Journal of High Energy Physics, 2022(1), 86. doi:10.1007/jhep01(2022)086
Gaiotto, D., Lee, J. H., Vicedo, B., & Wu, J. (2022). Kondo line defects and affine Gaudin models. Journal of High Energy Physics, 2022(1), 175. doi:10.1007/jhep01(2022)175
Gaiotto, D., & Johnson-Freyd, T. (2022). Holomorphic SCFTs with small index. Canadian Journal of Mathematics, 74(2), 573-601. doi:10.4153/s0008414x2100002x

Seminars

Complex Chern-Simons Theory and Schur Quantization, Institute for Advanced Study, Princeton, United States, 2025/01/01
Holomorphic-Topological Twists and their Applications, Mathematics on the Crossroad of Centuries, IHES, 2024/09/07
Lecture - Twisted Holography a, Celestial Holography Summer School 2024, 2024/07/26, PIRSA:24070022
Lecture - Twisted Holography b, Celestial Holography Summer School 2024, 2024/07/26, PIRSA:24070023
Schur Quantization of Complex Chern-Simons Theory, String Math 2024, International Centre for Theoretical Physics, Trieste, Italy, 2024/06/14
String Theory Lecture, String Theory 2023/24, 2024/05/01, PIRSA:24050002
String Theory Lecture, String Theory 2023/24, 2024/04/29, PIRSA:24040044
String Theory Lecture, String Theory 2023/24, 2024/04/26, PIRSA:24040043
String Theory Lecture, String Theory 2023/24, 2024/04/24, PIRSA:24040042
String Theory Lecture, String Theory 2023/24, 2024/04/22, PIRSA:24040041
String Theory Lecture, String Theory 2023/24, 2024/04/19, PIRSA:24040040
String Theory Lecture, String Theory 2023/24, 2024/04/17, PIRSA:24040039
String Theory Lecture, String Theory 2023/24, 2024/04/15, PIRSA:24040038
String Theory Lecture, String Theory 2023/24, 2024/04/12, PIRSA:24040037
String Theory Lecture, String Theory 2023/24, 2024/04/11, PIRSA:24040035
String Theory Lecture, String Theory 2023/24, 2024/04/10, PIRSA:24040036
String Theory Lecture, String Theory 2023/24, 2024/04/05, PIRSA:24040034
String Theory Lecture, String Theory 2023/24, 2024/04/03, PIRSA:24040033
Unexpected Unitarity, Arithmetic Quantum Field Theory Conference,, Harvard University, Cambridge, United States, 2024/03/27
Chiral algebras in the planar limit., Workshop on New Directions in Conformal Field Theory, Fields Institute for Research in Mathematical Sciences, Toronto, Canada, 2024/03/20
Twisted Holography Mini-Course - Lecture 20231214, Twisted Holography Mini-Course, 2023/12/14, PIRSA:23120018
Twisted Holography Mini-Course - Lecture 20231130, Twisted Holography Mini-Course, 2023/11/30, PIRSA:23110042
Twisted Holography Mini-Course - Lecture 20231123, Twisted Holography Mini-Course, 2023/11/23, PIRSA:23110041
Twisted Supersymmetric Yang-Mills Theory, 2023 Simons Collaboration on Confinement and QCD Strings Annual Meeting, Simons Foundation, New York, United States, 2023/11/03
Quantization via SQFT, Quantum Fields and Strings, 2023/09/26, PIRSA:23090111
Quantum Fields and Strings Lecture - 230331, Quantum Fields and Strings (2022/2023), 2023/03/31, PIRSA:23030028
Quantum Fields and Strings Lecture - 230329, Quantum Fields and Strings (2022/2023), 2023/03/29, PIRSA:23030027
Quantum Fields and Strings Lecture - 230327, Quantum Fields and Strings (2022/2023), 2023/03/27, PIRSA:23030026
Quantum Fields and Strings Lecture - 230324, Quantum Fields and Strings (2022/2023), 2023/03/24, PIRSA:23030025
Quantum Fields and Strings Lecture - 230322, Quantum Fields and Strings (2022/2023), 2023/03/22, PIRSA:23030024
Quantum Fields and Strings Lecture - 230320, Quantum Fields and Strings (2022/2023), 2023/03/20, PIRSA:23030023
Quantization of Poisson vertex algebras, 2022/12/13
Geometry of (S)QFT, SCGP, 2022/10/12
Discussion on Langlands, QFT for Mathematicians 2022, 2022/06/30, PIRSA:22060094
Discussion on 4d N=2, QFT for Mathematicians 2022, 2022/06/29, PIRSA:22060090
Holomorphic BF theory, 4d SYM and the analytic Geometric Langlands program, QFT for Mathematicians 2022, 2022/06/28, PIRSA:22060083
On Boundary VOA's, QFT for Mathematicians 2022, 2022/06/21, PIRSA:22060068