Miguel Tierz

访问教授

Email: tierz _at_ simis.cn
研究领域：
General fields: Mathematical Physics, Theoretical Physics, Applied Mathematics (more recent). Specific fields: Random matrix theory, Gauge theory, Strongly-correlated systems, Mathematical problems in the development of quantum technologies
办公室：

简历

该研究者学术背景为数学物理学，先后获得理论/数学物理专业理学学士学位与博士学位。自2008年在西班牙巴塞罗那大学取得博士学位后，于布兰迪斯大学、耶路撒冷希伯来大学数学研究所、马德里康普顿斯大学数学系、里斯本大学数学系任博士后研究员。其研究职位由国际知名竞争性奖学金支持，包括：Lady Davis博士后奖学金、Juan de la Cierva奖学金与María Zambrano奖学金（在西班牙所有学科中排名首位）、FCT研究员计划。在里斯本大学指导完成两篇数学博士学位论文，研究领域为随机矩阵理论及其在规范理论中的物理应用。所指导的博士Leonardo Santilli（现任北京丘成桐数学科学中心（YMSC）博士后研究员）的论文荣获2022年度最佳数学博士学位论文奖。

教育经历

  • 1995-1999 Licenciado en Fisica (BSc in Physics, Theoretical) Universitat de Barcelona, Spain
  • 2003-2008 PhD in Theoretical/Mathematical Physics Universitat de Barcelona, Spain.

工作经历

  • 2021- Senior postdoctoral researcher/ Maria Zambrano fellow Universidad Complutense de Madrid, Spain
  • 2019-2021 Associate Professor ISCTE (Instituto Universitário de Lisboa), Portugal
  • 2015-2019 Researcher FCT (5 year position, senior postdoctoral) Fundação para a Ciência e a Tecnologia / Universidade de Lisboa Portugal
  • 2012-2015 Researcher Juan de la Cierva Universidad Complutense de Madrid ,Spain
  • 2011-2012 Postdoctoral Researcher Grupo de Física Matemática, Universidade de Lisboa
  • 2010-2011 Lady Davis Fellow in Mathematics Institute of Mathematics, The Hebrew University of Jerusalem (Israel)
  • 2008-2010 Postdoctoral researcher Brandeis University (Massachusetts, USA)
  • 2000-2002 Visiting PhD student LPTMS (Université de Paris XI, France)

荣誉和获奖

论著

  1. Miguel Tierz, Analytical control of the exchange interaction in periodically driven Mott insulators, https://arxiv.org/abs/2501.05416
  2. Leonardo Santilli, David Pérez-García and Miguel Tierz, Hawking-Page transition on a spin chain, Phys. Rev. Research 6, 033007 (2024)  https://doi.org/10.1103/PhysRevResearch.6.033007
  3. Jorge Ruso, Miguel Tierz. 2024. Landau-Zener transition rates of superconducting qubits and absorption spectrum in quantum dots,. Phys. Rev. A 109, 033702 (2024). https://doi.org/10.1103/PhysRevA.109.033702
  4. David Perez-Garcia; Leonardo Santilli; Miguel Tierz. 2024. Dynamical quantum phase transitions from random matrix theory. Quantum 8, 1271 (2024). https://doi.org/10.22331/q-2024-02-29-1271
  5. Leonardo Santilli and Miguel Tierz. 2022. Crystal bases and three-dimensional N= 4 Coulomb branches. J. High. Energ. Phys. (2022), 1-6. https://doi.org/10.48550/arXiv.2111.05206
  6. Leonardo Santilli; Miguel Tierz. 2021. Schur expansion of random-matrix reproducing kernels. J. Phys. A: Math. Theor. 54 435202 (2021). IOP. 54, pp.435202. https://doi.org/10.1088/1751-8121/ac2754
  7. Leonardo Santilli; Miguel Tierz. Multiple phases and meromorphic deformations of unitary matrix models. Nucl. Phys. B 976, 115694 (2022). https://doi.org/10.1016/j.nuclphysb.2022.115694
  8. Leonardo Santilli, Miguel Tierz. 2020. Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels. Nuclear Physics B Volume 973, December 2021, 115582. https://doi.org/10.1016/j.nuclphysb.2021.115582
  9. Leonardo Santilli; Richard Szabo; Miguel Tierz. 2020. TT-deformation of q-Yang-Mills theory. J. High Energ. Phys. 2020, 86 (2020). Springer-Verlag. https://doi.org/10.48550/arXiv.2009.00657
  10. Leonardo Santilli and Miguel Tierz. 2020. Exact results and Schur expansions in quiver Chern-Simons-matter theories. J. High Energ. Phys. 2020, 22 (2020). https://doi.org/10.1007/JHEP10(2020)022
  11. Leonardo Santilli, Miguel Tierz. 2020. Complex (super)-matrix models with external sources and q-ensembles of Chern–Simons and ABJ (M) type. Journal of Physics A: Mathematical and Theoretical. 54-42, pp.425201. https://doi.org/10.1088/1751-8121/abb6b0
  12. Jorge Russo and Miguel Tierz. 2020. Multiple phases in a generalized Gross-Witten-Wadia matrix model. J. High Energ. Phys. 2020, 81 (2020). Springer-Verlag. 81. https://doi.org/10.1007/JHEP09(2020)081
  13. Leonardo Santilli and Miguel Tierz. 2020. Exact equivalences and phase discrepancies between random matrix ensembles. J. Stat. Mech. (2020) 083107. 2020, pp.083107. https://doi.org/10.1088/1742-5468/aba594
  14. David Garcia Garcia; Miguel Tierz. 2020. Matrix models for classical groups and Toeplitz±Hankel minors with applications to Chern-Simons theory and fermionic models. J. Phys. A: Math. Theor. 53 345201 (2020). https://doi.org/10.1088/1751-8121/ab9b4d
  15. Leonardo Santilli, Miguel Tierz; Richard Szabo. 2020. Five-dimensional cohomological localization and squashed -deformations of two-dimensional Yang-Mills theory. J. High Energ. Phys. 2020, 36 (2020). https://doi.org/10.1007/JHEP06(2020)036
  16. David Garcia Garcia; Miguel Tierz;. 2020. Toeplitz minors and specializations of skew Schur polynomials. Journal of Combinatorial Theory, Series A Volume 172, May 2020, 105201. 172, pp.105201. https://doi.org/10.1016/j.jcta.2019.105201
  17. Leonardo Santilli; Miguel Tierz. 2019. On SQED3 and SQCD3: phase transitions and integrability. Phys. Rev. D 100, 061702(R) (2019). APS. https://doi.org/10.1103/PhysRevD.100.061702
  18. Leonardo Santilli; Miguel Tierz. 2019. Phase transitions and Wilson loops in antisymmetric representations in Chern-Simons-matter theory. J. Phys. A: Math. Theor. 52 385401 (2019). 52-38, pp.385401. https://doi.org/10.1088/1751-8121/ab335c
  19. Leonardo Santilli; Miguel Tierz. 2019. Phase transition in complex-time Loschmidt echo of short and long range spin chain. J. Stat. Mech. (2020) 063102. IOP. https://doi.org/10.1088/1742-5468/ab837b
  20. Leonardo Santilli; Miguel Tierz. 2018. Large N phase transition in TT-deformed 2d Yang-Mills theory on the sphere. J. High Energ. Phys. (2019) 2019: 54. Springer-Verlag. https://doi.org/10.1007/JHEP01(2019)054
  21. Miguel Tierz. 2018. Wilson loops and free energies in 3d N=4 SYM: exact results, exponential asymptotics and duality. Progress of Theoretical and Experimental Physics, Vol 2019, (2019), 053B01. Oxford University Press. https://doi.org/10.1093/ptep/ptz036
  22. Miguel Tierz. 2017. Polynomial solutions of quantum Grassmann matrices. J. Stat. Mech. May 2017, pp.053203. https://doi.org/10.1088/1742-5468/AA6C84
  23. Jorge Russo; Miguel Tierz. 2017. Quantum phase transition in many-flavor supersymmetric QED. Physical Review D, Rapid Communication. APS. 95, pp.031901. https://doi.org/10.1103/PHYSREVD.95.031901
  24. Miguel Tierz. 2016. Mass-deformed ABJ and ABJM theory, Meixner-Pollaczek polynomials, and su(1,1) oscillators. Physical Review D. APS. 93, pp.126003. https://doi.org/10.1103/PHYSREVD.93.126003
  25. Miguel Tierz. 2016. Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials. Journal of High Energy Physics. Springer-Verlag. 04, pp.168. https://doi.org/10.1007/JHEP04(2016)168
  26. David Perez-Garcia; Miguel Tierz. 2016. Chern-Simons theory encoded on a spin chain. Journal of Statistical Mechanics. IOPScience. 2016-013103. (3) https://doi.org/10.1088/1742-5468/2016/01/013103
  27. Georgios Giasemidis; Miguel Tierz. 2016. Mordell integrals and Giveon-Kutasov duality. Journal of High Energy Physics 01, pp.068. https://doi.org/10.1007/JHEP01(2016)068
  28. Miguel Tierz; Guillermo Silva; Jorge Russo. 2015. Supersymmetric U(N) Chern-Simons-matter theory and phase transitions. Communications in Mathematical Physics. Springer-Verlag. 338, pp.1411-1442. https://doi.org/10.1007/S00220-015-2399-4
  29. Georgios Giasemidis; Miguel Tierz. 2014. Torus knot polynomials and susy Wilson loops. Letters in Mathematical Physics. Springer-Verlag. 104, pp.1535-1556. https://doi.org/10.1007/S11005-014-0724-Z
  30. David Pérez-García; Miguel Tierz. 2014. Mapping between the Heisenberg XX Spin Chain and Low-Energy QCD. Physical Review X. APS. 4, pp.021050. https://doi.org/10.1103/PHYSREVX.4.021050
  31. Georgios Giasemidis; Richard J. Szabo; Miguel Tierz. 2014. Supersymmetric gauge theories, Coulomb gases and Chern-Simons matrix models. Physical Review D. APS. 89-2, pp.025016. https://doi.org/10.1103/PHYSREVD.89.025016
  32. Richard J. Szabo; Miguel Tierz. 2013. q-deformations of two-dimensional Yang-Mills theory: Classification, categorification and refinement. Nuclear Physics B. Elsevier. 876-1, pp.234-308. https://doi.org/10.1016/J.NUCLPHYSB.2013.08.001
  33. Richard J. Szabo; Miguel Tierz. 2012. Matrix models and stochastic growth in Donaldson-Thomas theory. Journal of Mathematical Physics. AIP. 53, pp.103502. https://doi.org/10.1063/1.4748525
  34. Mauricio Romo; Miguel Tierz. 2012. Unitary Chern-Simons matrix model and the Villain lattice action. Physical Review D. APS. 86-4, pp.045027. https://doi.org/10.1103/PHYSREVD.86.045027
  35. Richard J. Szabo; Miguel Tierz. 2012. Two-dimensional Yang-Mills theory, Painleve equations and the six-vertex model. Journal of Physics A: Mathematical and Theoretical. IOP Publishing. 45, pp.085401. https://doi.org/10.1088/1751-8113/45/8/085401
  36. Miguel Tierz. 2010. Schur polynomials and biorthogonal random matrix ensembles. Journal of Mathematical Physics. AIP Publishing. 51, pp.063509. https://doi.org/10.1063/1.3377965
  37. Richard J. Szabo; Miguel Tierz. 2010. Chern-Simons matrix models, two-dimensional Yang-Mills theory and the Sutherland model. Journal of Physics A: Mathematical and Theoretical. IOP Publishing. 43-265401, pp.265401. https://doi.org/10.1088/1751-8113/43/26/265401
  38. M. Tierz. 2009. Chern-Simons theory, exactly solvable models and free fermions at finite temperature. Modern Physics Letters A. World Scientific. 24, pp.3157-3171. https://doi.org/10.1142/S0217732309032071
  39. Miguel Tierz. 2007. SL(2,R) matrix model and supersymmetric Yang-Mills integrals. Physical Review D. APS. 76-10, pp.107701. https://doi.org/10.1103/PHYSREVD.76.107701
  40. Y. Dolivet; M. Tierz. 2007. Chern-Simons matrix models and Stieltjes-Wigert polynomials. Journal of Mathematical Physics. AIP Publishing. 48-2, pp.023507. https://doi.org/10.1063/1.2436734
  41. S. de Haro; M. Tierz. 2005. Discrete and oscillatory matrix models in Chern-Simons theory. Nuclear Physics B. Elsevier. 731-3, pp.225-241. https://doi.org/10.1016/J.NUCLPHYSB.2005.09.034
  42. S. de Haro; M. Tierz. 2004. Brownian motion, Chern-Simons theory, and 2-D Yang-Mills. Physics Letters B. Elsevier. 601-3-4, pp.201-208. https://doi.org/10.1016/J.PHYSLETB.2004.09.033
  43. E. Elizalde; M. Tierz. 2004. Multiplicative anomaly and zeta factorization. Journal of Mathematical Physics. AIP Publishing. 45, pp.1168. https://doi.org/10.1063/1.1646447
  44. M. Tierz. 2004. Soft matrix models and Chern-Simons partition functions. Modern Physics Letters A. World Scientific. 19, pp.1365-1378. https://doi.org/10.1142/S0217732304014100
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