Miguel Tierz

Visiting Professor

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Research Fields: Random matrix theory, Gauge theory, Strongly-correlated systems, Mathematical problems in the development of quantum technologies
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Bio

The researcher’s academic background is in mathematical physics, holding both a BSc and a PhD in theoretical/mathematical physics. Since obtaining his PhD degree in 2008 at Universitat de Barcelona (Spain), has been postdoctoral researcher at Brandeis University (Massachusetts, USA), the Mathematical Institute of the Hebrew University of Jerusalem (Israel), the Mathematics Faculty of Universidad Complutense de Madrid (Spain), and the Mathematics department of Universidade de Lisboa (Portugal). These research positions have been funded by prestigious competitive postdoctoral fellowships and senior researcher fellowships, including the Lady Davis fellowship in Israel, the Juan de la Cierva and Maria Zambrano fellowships (ranked first across all disciplines) in Spain and FCT Researcher in Portugal. He has supervised two PhD theses in Mathematics at Universidade de Lisboa, on random matrix theory and its physical applications in gauge theory. The thesis of Dr. Leonardo Santilli, now postdoctoral researcher at YMSC in Beijing, won the award for best Mathematical thesis of the year 2022.

Education Experience

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

Work Experience

  • 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)

Honors and Awards

Publications

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. Miguel Tierz. 2017. Polynomial solutions of quantum Grassmann matrices. J. Stat. Mech. May 2017, pp.053203. https://doi.org/10.1088/1742-5468/AA6C84
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. 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
  37. 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
  38. 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
  39. 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
  40. 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
  41. 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
  42. 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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