Leonardo Santilli

个人简介

Santilli教授的研究兴趣集中于数学物理领域，尤其是弦理论。他以超弦理论和M理论为总体框架，研究超对称场论及其与代数几何、枚举几何的联系。目前主要关注非交换Calabi-Yau奇点分解，以及带缺陷的超对称量子场论与精确枚举不变量之间的深刻关联。

在2025年8月加入上海数学与交叉学科研究院任助理教授之前，Santilli教授于2022至2025年间在清华大学丘成桐数学科学中心担任水木学者博士后。2022年在里斯本大学获得数学博士学位。

教育经历

• 2018.3-2022.5 University of Lisbon Mathematics PhD
• 2016.9-2017.7 University of Valencia Mathematics Master
• 2015.9-2016.9 University of Valencia Physics Master
• 2012.9-2015.9 La Sapienza University of Rome Physics Bachelor

工作经历

• 2022.10 – 2025.7 YMSC, Tsinghua University Postdoc

荣誉和获奖

• 2023.07 – 2025.07 Tsinghua University Shuimu Scholar
• 2023 Best Doctoral Thesis Award in Mathematical Sciences , FCiencias, Portugal.

论著

[1] L. Santilli, “Large N limits of supersymmetric quantum field theories: A pedagogical overview,” Fortsch. Phys. 2025, e70006 [arXiv:2501.05794].

[2] M. Najjar, L. Santilli and Y. N. Wang, “(-1)-form symmetries from M-theory and SymTFTs,” JHEP 134 (2025), 1 [arXiv:2411.19683].

[3] L. Santilli and R. J. Szabo, “Higher form symmetries and orbifolds of two-dimensional Yang-Mills theory,” Lett. Math. Phys. 115 (2025) no.1, 15 [arXiv:2403.03119]

[4] E. Gesteau and L. Santilli, “Explicit large N von Neumann algebras from matrix models,” Adv. Theor. Math. Phys. 28 (2024) no.7, 2245-2429 [arXiv:2402.10262].

[5] D. Perez-Garcia, L. Santilli and M. Tierz, “Hawking-Page transition on a spin chain,” Phys. Rev. Res. 6 (2024) no.3, 033007 [arXiv:2401.13963].

[6] C. Nunez, L. Santilli and K. Zarembo, “Linear Quivers at Large-N ,” Commun. Math. Phys. 406 (2025) no.1, 6 [arXiv:2311.00024].

[7] L. Santilli and C. F. Uhlemann, “3d defects in 5d: RG flows and defect F-maximization,” JHEP06 (2023), 136 [arXiv:2305.01004].

[8] M. Akhond, A. Legramandi, C. Nunez, L. Santilli and L. Schepers, “Matrix Models and Hologaphy: Mass Deformations of Long Quiver Theories in 5d and 3d,” SciPost Phys. 15 (2023), 086 [arXiv:2211.13240].

[9] M. Akhond, A. Legramandi, C. Nunez, L. Santilli and L. Schepers, “Massive flows in AdS6/CFT5,” Phys. Lett. B 840 (2023), 137899 [arXiv:2211.09824].

[10] D. Perez-Garcia, L. Santilli and M. Tierz, “Dynamical quantum phase transitions from random matrix theory,” Quantum 8 (2024), 1271 [arXiv:2208.01659].

[11] L. Santilli and M. Tierz, “Crystal bases and three-dimensional N= 4 Coulomb branches,” JHEP03 (2022), 073 [arXiv:2111.05206].

[12] L. Santilli and M. Tierz, “Schur expansion of random-matrix reproducing kernels,” J. Phys. A 54, no. 43, 435202 (2021) [arXiv:2106.04168].

[13] L. Santilli, “Phases of five-dimensional supersymmetric gauge theories,” JHEP 07, 088 (2021) [arXiv:2103.14049].

[14] L. Santilli and M. Tierz, “Multiple phases and meromorphic deformations of unitary matrix models,” Nucl. Phys. B 976, 115694 (2022) [arXiv:2102.11305].

[15] L. Santilli and M. Tierz, “Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels,” Nucl. Phys. B 973, 115582 (2021) [arXiv:2011.13680].

[16] L. Santilli, R. J. Szabo and M. Tierz, “TT-deformation of q-Yang-Mills theory,” JHEP 11, 086 (2020) [arXiv:2009.00657].

[17] L. Santilli and M. Tierz, “Exact results and Schur expansions in quiver Chern-Simons-matter theories,” JHEP 10, 022 (2020) [arXiv:2008.00465].

[18] L. Santilli and M. Tierz, “Exact equivalences and phase discrepancies between random matrix ensembles,” J. Stat. Mech. 2008, 083107 (2020) [arXiv:2003.10475].

[19] L. Santilli and R. J. Szabo and M. Tierz, “Five-dimensional cohomological localization and squashed q-deformations of two-dimensional Yang-Mills theory,” JHEP 06, 036 (2020) [arXiv:2003.09411].

[20] L. Santilli and M. Tierz, “SQED3 and SQCD3: Phase transitions and integrability,” Phys. Rev. D 100, no.6, 061702 (2019) [arXiv:1906.09917].

[21] L. Santilli and M. Tierz, “Phase transition in complex-time Loschmidt echo of short and long range spin chain,” J. Stat. Mech. 2006, 063102 (2020) [arXiv:1902.06649].

[22] L. Santilli and M. Tierz, “Large N phase transition in TT -deformed 2d Yang-Mills theory on the sphere,” JHEP 01, 054 (2019) [arXiv:1810.05404].

[23] L. Santilli and M. Tierz, “Phase transitions and Wilson loops in antisymmetric representations in Chern-Simons-matter theory,” J. Phys. A 52, no.38, 385401 (2019) [arXiv:1808.02855].

[24] L. Santilli and M. Tierz, “Complex (super)-matrix models with external sources and q-ensembles of Chern-Simons and ABJ(M) type,” J. Phys. A 53, no.42, 425201 (2020) [arXiv:1805.10543].