米格尔
Miguel Tierz Parra
Distinguished Professor in School of Mathematics and Statistics Henan University
ORCID 0000-0002-4579-4364 Researcher ID: A-6007-2019 Scopus Author ID: 6506845842
Education
Universidad de Barcelona
Ph.D., Theoretical and Mathematical Physics, 2008.
Fields: Random matrix theory, Statistical mechanics models.
M.Res., Theoretical Physics 2003
Universidad de Barcelona
B.Sc., Physics, 1999. Class: 6th out of 154
Dissertation
“Random matrix models in Chern-Simons theory”
Development of random matrix model formulation of Chern-Simons theories.
Cum Laude. June 2008. Advisor: Prof. E. Elizalde
Research
Complex systems center, Brandeis University
Postdoctoral Research Associate 2008-2010
Einstein Institute of Mathematics, The Hebrew University of Jerusalem
Lady Davis Fellow 2010-2011
Mathematics Faculty, Universidad Complutense de Madrid
Juan de la Cierva postdoctoral Fellow 2012-2015
Mathematics, Universidade de Lisboa and Portuguese Research Foundation
Researcher FCT (5-year position) and PhD supervisor, July 2015-2022
Research projects: Random matrices in Gauge theory (25000 Euros, PI).
QuantumG, PTDC/MAT-PUR/30234/2017 (224000 Euros, shared).
Distinguished Professor in School of Mathematics and Statistics Henan University 2022-
PhD supervision
Mathematics Department, Universidade de Lisboa
Dr. David Garcia. Fellowship LisMath PD/BD/113627/2015. PhD thesis:
“Schur averages in random matrix ensembles”. Single supervisor
Defense: 30th January 2020. Cum laude with distinction (by unanimity)
Mr. Leonardo Santilli, Fellowship FCT SFRH/BD/129405/2017. PhD thesis: “Phase
transitions in gauge theory and random matrix models”. Single supervisor
February 2018-. 8 joint papers SCI Q1 (fifirst quartile) already published.
Teaching
Mathematics Faculty, Universidad Complutense de Madrid
Instructor, Complex Analysis and Functional Analysis (5th year undergraduate course, now Masters level), 2012-2013. Joint with: Prof. David P´erez Garc´ıa Instructor, Real Analysis
2013-2014 Two semesters, fifirst year course (Mathematics Faculty). Joint with: Prof. Pilar Cembranos Instructor, Difffferential Calculus
2014-2015 Second year course Mathematics Faculty. Joint with: Prof. Francisco Hernandez Rodriguez Instructor, Mathematical methods in Engineering
2014-2015 First year calculus course for Engineering Informatics students. Unique responsible Unique instructor of seven full courses at ISCTE-IUL, 24 credits ECTS
2019-2020, “Mathematical Analysis” and “Algebra” (9h per week) Two groups/courses ”Optimization” (12 ECTS/9h per week) in second semester
First semester 2020-2021, Three groups on ”Probability theory and stochastic processes”
second year course (18 ECTS/13.5h per week). Total of 48 ECTS credits already lectured in Madrid and Lisboa combined
PhD committees
1. Member and secretary of the PhD thesis committee of Dr. Carlos Fern´andez.
Date: 9th of June of 2014 (Universidad Complutense de Madrid), “Mathematical
Methods for Problems on entanglement”. Supervisor: Prof. David P´erez Garc´ıa
2. Opponent for the PhD thesis of Mr. Zolt´an K¨ok´eyensi, ”Some aspects of topological
string theory” at E¨otv¨os Lor´and University (Budapest), June 2019.
Supervisors: Prof. Annamaria Sinkovics and Prof. Richard J. Szabo.
3. Member of the PhD committee for the PhD thesis of Mr. Davide Polini,
”Classifying and counting N=2 BPS black holes in an STU model”, at Instituto
Superior T´ecnico (IST), October 21, 2019. Supervisor: Prof. Gabriel Lopes Cardoso.
Awards and Fellowships
Lady Davis Fellowship, Israel
2010-2011
Juan de la Cierva Fellowship
Spain, 2012-2015
Investigador (Researcher, equiv to Assistant Professor) FCT 2014
Portugal, 2015- . Top score: 9.0/9.0. Ranked 1st (tied).
Languages
Spanish and Catalan; English (very flfluent), Portuguese (flfluent), French (near flfluency)
List of Publications
1) M. Tierz*, "Soft Matrix Models and Chern-Simons
theory," Mod. Phys. Lett. A19 1365-1378, (2004),
[arXiv:hep-th/0212128]} 109 citations 4区（第一且通讯）
2) E. Elizalde and M. Tierz*, "Multiplicative anomaly
and zeta factorization," J. Math. Phys. 45 1168-1179,
(2004), [arXiv:hep-th/0402186], 11 citations 4区 通讯
3) S. de Haro* and M. Tierz, "Brownian motion,
Chern-Simons theory, and 2D Yang-Mills," Phys. Lett. B, 601 201-208 (2004), [arXiv:hep-th/0406093] 43 citations. 2区top 非一作通讯
4) S. de Haro and M. Tierz*, "Discrete and oscillatory
Matrix Models in Chern-Simons theory," Nucl. Phys. B731
225-241 (2005), [arXiv:hep-th/0501123], 34 citations. 通讯 2区
5) Y. Dolivet and M. Tierz*, "Chern-Simons matrix models
and Stieltjes-Wigert polynomials," J. Math. Phys. 48,
023507 (2007), [arXiv:hep-th/0609167], 50 citations. 4区通讯
6) M. Tierz*, "SL(2,R) matrix model and supersymmetric
Yang-Mills integrals," Phys. Rev. D 76, 107701 (2007), [arXiv:0808.1044 [hep-th]] 1 citation. 2区TOP 独著且通讯
7) M. Tierz*, "Chern-Simons theory, exactly solvable
models and free fermions at finite temperature," Mod. Phys. Lett. A24 (2009) 3157-3171, [arXiv:0808.1079 [hep-th] 3 citations. 4区，独作
8) M. Tierz*, "Schur polynomials and biorthogonal random
matrix ensembles," J. Math. Phys. 51, 063509 (2010), 10 citations. 4区，独作
9) R. J. Szabo and M. Tierz*, "Chern-Simons matrix
models, $2d$ Yang-Mills theory and the Sutherland
model," J. Phys. A 43 (2010) 265401, [arXiv:1003.1228 [hep-th]] 21 citations.
10) R. J. Szabo and M. Tierz*, "Matrix models and
stochastic growth in Donaldson-Thomas theory," J. Math.
Phys. 53, 103502 (2012), [arXiv:1005.5643 [hep-th]] 17 citations. 4区通讯
11) R. J. Szabo and M. Tierz*, "Two dimensional Yang-Mills
theory, Painlevé equations and the six-vertex model,"
J. Phys. A: Math. Theor. 45 (2012) 08540, [arXiv:1102.3640[hep-th]] 12 citations.
12) M. Romo and M. Tierz*, "Unitary Chern-Simons matrix
model and the Villain lattice action," Phys. Rev. D 86,
045027 (2012), [arXiv:1103.2421 [hep-th]] 11 citations. 2区TOP 通讯
13) R. J. Szabo and M. Tierz*, "$q$-deformations of
two-dimensional Yang-Mills theory: Classification, categorification and
refinement," Nucl. Phys. B 876 (2013) 234-308, [arXiv:1305.1580 [hep-th]] 16 citations. 通讯 2区
14) D. Pérez-García and M. Tierz*, "Mapping between the Heisenberg XX Spin Chain and Low-Energy QCD," Phys. Rev. X
4, 021050 (2014), [arXiv:1305.3877 [hep-th]]}, 14 citations. 1区TOP 通讯
15) G. Giasemidis, R.J. Szabo and M. Tierz*, "Supersymmetric gauge theories, Coulomb gases and Chern-Simons matrix
models, Phys. Rev. D 89, 025016 (2014), [arXiv:1310.3122 [hep-th]] 3 citations. 2区TOP 通讯
16) G. Giasemidis and M. Tierz*, "Torus knot polynomials
and susy Wilson loops," Lett. Math. Phys., 104, 1535
(2014), [arXiv:1401.8171 [hep-th]], 4 citations. 4区通讯
17) D. Pérez-García and M. Tierz*, "Chern-Simons
theory encoded on a spin chain," J. Stat. Mech. 1601, 1,
013103 (2016) [arXiv:1403.6780], 5 citations.
18) J. G. Russo, G.\ A. Silva and M. Tierz*, "Supersymmetric U(N) Chern-Simons-matter theory and phase
transitions," Commun. Math. Phys. 338
(2015), 1411-1442, [arXiv:1407.4794 [hep-th]]}, 24 citations. 3区通讯
19) G. Giasemidis and M. Tierz*, "Mordell integrals and
Giveon-Kutasov duality," JHEP 1601, 068 (2016), [arXiv:1511.00203 [hep-th]] 8 citations. 1区TOP 通讯
20) M. Tierz*, "Exact solution of Chern-Simons-matter
matrix models with characteristic/orthogonal polynomials,"
JHEP 04 (2016) 168 [arXiv:1601.06277 [hep-th]], 7 citations. 1区TOP 独作
21) M. Tierz*, "Mass-deformed ABJ and ABJM theory,
Meixner-Pollaczek polynomials, and su(1,1) oscillators,"
Phys. Rev. D 93, 126003 (2016) [arXiv:1604.06321 [hep-th]], 2 citations. 2区TOP独作
22) J. G. Russo* and M. Tierz, "Quantum phase transition in
many-flavor supersymmetric QED_{3}," Phys. Rev. D 95,
031901(R) (2017), [arXiv:1610.08527 [hep-th]], 9 citations.
23) M. Tierz*, "Polynomial solution of quantum Grassmann
matrices," J. Stat. Mech. (2017) 053203, [arXiv:1703.02454 [hep-th]], 9 citations.
24) L. Santilli and M. Tierz*, "Large N phase transition in $T\overline{T}$-deformed 2d Yang-Mills theory on the sphere,"
JHEP 01 (2019) 054, [arXiv:1810.05404 [hep-th]], 24 citations. 1区TOP 通讯
25) D. Garcia-Garcia and M. Tierz*, "Toeplitz minors and specializations of skew Schur polynomials,"
Journ. of Comb. Theory, Series A 172, 105201, (2020)},[arXiv:1706.02574 [math.CO]], 4 citations 3区通讯
26) M. Tierz*, "Wilson loops and free energies in 3d $\mathcal{N}=4$ SYM: exact results, exponential asymptotics and duality,"
Progress of Theoretical and Experimental Physics 2019 (5), 053B01 [arXiv:1804.10845 [hep-th]], 5 citations 3区独作
27) L. Santilli and M. Tierz*, "Phase transitions and Wilson loops in antisymmetric representations in Chern-Simons-matter theory,"
J. Phys. A: Math. Theor. 52 385401 (2019), [arXiv:1808.02855 [hep-th]] 5 citations 3区通讯
28) D. Garcia-Garcia and M. Tierz*, "Matrix models for classical groups and Toeplitz$\pm$Hankel minors with applications to Chern-Simons theory and fermionic models,"
J. Phys. A: Math. Theor. 53 345201 (2020), [arXiv:1901.08922 [hep-th]], 4 citations， 3区通讯
29) L. Santilli and M. Tierz*, "$SQED_{3}$ and $SQCD_{3}$: Phase transitions and integrability,"
Phys. Rev. D 100, 061702(R) (2019) [arXiv:1906.09917]. 2区TOP 通讯
30) L. Santilli and M. Tierz*, "Phase transition in complex-time Loschmidt echo of short and long range spin chain,"
J. Stat. Mech. (2020) 063102, [arXiv:1902.06649 [cond-mat.stat-mech]], 1 citation
31)L. Santilli and M. Tierz*, "Exact equivalences and phase discrepancies between random matrix ensembles,"
J. Stat. Mech. (2020) 083107, [arXiv:2003.10475 [math-ph]], 2 citations.
32) L. Santilli, R. J. Szabo and M. Tierz*,"Five-dimensional cohomological localization and squashed $q$-deformations of two-dimensional Yang-Mills theory,"
J. High Energ. Phys. 2020, 36 (2020) [arXiv:2003.09411 [hep-th]]. 1区TOP 通讯
33) 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: Math. Theor. 53 425201 (2020), [arXiv:1805.10543 [hep-th]]. 3区通讯
34) J. Russo* and M. Tierz, "Multiple phases in a generalized Gross-Witten-Wadia matrix model,"
J. High Energ. Phys. 2020, 81 (2020), [arXiv:2007.08515 [hep-th]].
35) L. Santilli and M. Tierz*, "Exact results and Schur expansions in quiver Chern-Simons-matter theories,"
J. High Energ. Phys. 2020, 22 (2020), [arXiv:2008.00465 [hep-th]]. 1区TOP 通讯
36) L. Santilli, R. J. Szabo and M. Tierz*, "$T\overline{T}$-deformation of $q$-Yang-Mills theory,"
[arXiv:2009.00657 [hep-th]], Submitted for publication at JHEP, 10th September 2020.
Main recent invited talks and seminars
- Seminar "Random matrices, Schur expansions and quiver Chern-Simons theories" 2020 Seminar series ”Various topics in mathematical physics”, at Henan University, Mathematics department, 17/09/2020.
- Plenary talk at the "Workshop on Black Holes: BPS, BMS and Integrability," Instituto Superior Técnico (IST-Lisboa), 7th-11th September (2020). Title talk: Phase transitions, random matrices and $T\overline{T}$-deformation. \href{https://www.youtube.com/watch?v=_RB6r5SD76k}{Video of the talk}.
- Invited seminar "Random matrix theory and Chern-Simons theory", Theoretical Physics department at Eötvos Lorand University, Budapest,Hungary. 18/09/2019.
- Invited talk at IWOTA (International Workshop on Operator Theory and its Applications), 2019. Special session on "Random matrix theory" at Instituto Superior Técnico (Lisboa, Portugal). Title of talk: "Schur and Chebyshev expansions of reproducing kernels," 26/07/2019.
- Invited plenary talk at the conference (Ir)regular singularities and Quantum Field Theory, July 8-11, 2019, Universidade de Lisboa.
- Invited Functional Analysis and Applications Seminar seminar. Title: " Schur and Chebyshev expansions of reproducing kernels," Departamento de Matemática, Universidade de Aveiro, Portugal, 01/03/2019.
- Invited Topological quantum field theory seminar. Title: " Random matrix theory in topological gauge theories," at Instituto Superior T\'{e}cnico, 05/12/2018.
- Invited talk at WOPA - Porto - 2018 - Workshop on Orthogonal Polynomials and Applications (2018). Title: " The Minors of Toeplitz matrices, symmetric functions and random matrix ensembles," 23/07/2018.
- Title: " On q-orthogonal polynomials and fermionic models," Name of the conference: Encontro Nacional Sociedade Portuguesa de Matematica, Bragança, Portugal, 09/07/2018- 11/07/2018. Organising entity: Sociedade Portuguesa de Matemática.
- Invited CEAFEL seminar at Instituto Superior Técnico. Title: " Minors of Toeplitz matrices, symmetric functions and random matrix ensembles", Lisboa, 06/07/2018.
- Conference " Gauge theories, supergravity and superstrings" 2017, Jun 11 -- Jun 23, Benasque Center for Science (Spain). Talk: "Aspects of matrix models" 16/06/2017.
- Talk at Iberian Strings 2017 at Instituto Superior Técnico, Lisbon, January 16-19. Talk: " Quantum phase transition in supersymmetric QED in three dimensions," 16/01/2017.
- Invited seminar at University of Oviedo, " Quantum
phase transition in many-flavor supersymmetric QED_{3}," String theory
seminar, 22 December 2001
- Invited seminar at Southampton University, " Quantum
phase transition in many-flavor supersymmetric QED_{3}," String theory
seminar, 23 November 2016
- Invited seminar at University of Vienna, " Matrix
models and phase transitions in supersymmetric gauge theories in three
dimensions," 15.11.2016
- Invited seminar at Instituto Superior T\'{e}cnico, Lisboa
" Quantum phase transition in many-flavor supersymmetric QED$%
_{3}$," String theory seminar, 07/11/2016.
- Encontro Nacional da Sociedade Portuguesa de Matemática (SPM) 2016, na
Escola Superior de Tecnologia do Barreiro do Instituto Politécnico de Setúbal, 11-13 July. Thematic session " Quantum physics and geometry". Talk: " Random matrices in gauge theory problems" July 13, 2016
- Seminar at GFM, Departamento de Matem\'{a}tica, FCUL, Lisboa,
"Introduction to random matrix theory II", 08/03/2016.
- Seminar at GFM, Departamento de Matem\'{a}tica, FCUL, Lisboa,
"Introduction to random matrix theory I", 24/02/2016.
- Invited talk at the Simons Center for Geometry and Physics, Stony
Brook University, " Random matrices and Chern-Simons-matter theory",
18/11/2015. \href{http://scgp.stonybrook.edu/video_portal/video.php?id=2377}{Video recording of the talk.}
- Invited talk at the Galileo Galilei Institute, Universita di Firenze,
" Random matrices and Chern-Simons-matter theory", 13/05/2015
- Seminar at Universitat de Barcelona (Departament d'Estructura i
Constituents de la Mat\`{e}ria), 10/04/2014, " Chern-Simons matrix models and
1/2-BPS Wilson loops in N=4 SYM".
- Seminar at ICMAT (Madrid), Probability and Applied statistics seminar,
12th March 2014," Probability measures on partitions and random matrix
ensembles".
- Seminar at Universidad Carlos III de Madrid, Applied Analysis
department, Mathematics Faculty. 20th February. Title: " Random matrices and
special functions in quantum topology".
- Seminar at ICMAT (Madrid), Geometry seminar, 28th November 2013, " On
the HOMFLY polynomial of torus knots".
- Talk at the 8th Nielsen retreat of the Centre for the Quantization of
Moduli Spaces, Aarhus University, Denmark. 18th-22th October (2013). Title " $%
q$-deformations of two-dimensional Yang-Mills theory: Classification,
categorification and refinement", 19th October (2013)
- Talk at the conference " Geometry of strings and
fields" at the Galileo Galilei Institute for Theoretical
Physics in Florence (GGI), 13th-18th September 2013. Title:
" Refined Chern-Simons and q-2d Yang-Mills
theories"
- Talk at the 3rd Madrid Meeting on Ultracold Atoms, Quantum
simulations: frontiers and prospects. 1st June 2012, Title: " Topological
gauge theory and many-body physics".
- Talk at the EPSRC Symposium Workshop at Warwick University -
Interacting particle systems, growth models and random matrices, 19th - 23rd
March 2012. Title: " Random matrices and vicious walkers in gauge theory
problems"
- Talk at Les Houches school "Vicious walkers and random matrices,"
16-27 May 2011. Title: " Random matrices and Brownian motion
in gauge theory."
- Talk at the Workshop "Quantum Hall Systems: novel systems and
applications" (16th August-12th September 2009). Nordic
Institute of Theoretical Physics (Stockholm). 6th September 2009. Title:
"Quantum topology and strongly-correlated systems: the Chern-Simons model".
- Talk at the Workshop "Discrete Systems and Special Functions" at
University of Cambridge, Newton Institute, 29 June-3 July 2009. Title:
" Stieltjes-Wigert polynomials and quantum topological invariants". \href{http://www.newton.ac.uk/seminar/20090701120012301}{Video recording of the talk}.
- Seminar at the Centre for quantum geometry of Moduli Spaces, Aarhus
University, 29th October 2012 and 2nd of November 2012. Host: Prof. J\"{o}rgen Ellegaard Andersen
- Seminar at the Particle Theory Journal Club, University of Oxford,
Dalitz Institute, " On matrix models and Chern-Simons theory" 24 November
2011. Host: Dr G. Giasemidis, Prof: J. Wheater's group
- Seminar at the Grupo de Fisica Matematica, Universidade de Lisboa
Title: " On random matrices and Chern-Simons theory", 15th November 2011.
Host: Prof. Ana Bela Cruzeiro
- Seminar at the Edinburgh Mathematical Physics group, 27th January
2010. Title: " Matrix models in Chern-Simons
theory" . Host: Prof. Richard J. Szabo
- Seminar at the University College London, 25th January 2010. Title:
" On Random matrices and Schur polynomials"
. Host: Dr. Rod Halburd
- Seminar at Harvard University, Mathematics department, 17th September
2009. Title: " Random matrices, Stieltjes-Wigert polynomials and 1D exactly
solvable models". Host: Prof. H.T. Yau.
- Other seminars given: Universidad Autonoma de Madrid (November 2005.
Host: Prof. Germ\'{a}n Sierra), Brunel University (May 2005. Host: Prof.
Gernot Akemann), Max-Planck-Institut fur Gravitationsphysik (Potsdam)
(February 2004. Host: Dr. S. de Haro), Open University, (November 2003.
Host: Prof. Uwe Grimm).
Other: contributed short talks in last years
" Corfu Meeting on Quantum fields and Strings " (September 2014)
" Quantum Simulations" in Bilbao (October 2012)
" Quantum Information" , CSIC, Madrid (September 2012)
" New Perspectives in topological field theories," in Hamburg (August 2012)
" Winter School for Mathematical Physics" in Les Houches (January 2012)
" Arizona School of Analysis" in Tucson (March 2010)
" 100th Statistical Mechanics Conference" at Rutgers, NJ (December 2008)
Funded projects
- Title: Random matrices and gauge theory, FCT exploratory research project.
Years: January 2016-2020. PI: Miguel Tierz (Unique member). 25000 euros
- Title: Irregular connections on algebraic curves and Quantum Field Theory.
Entity where project took place: Universidade de Lisboa. Number of researchers: 6
(including my 2 PhD students). Start-End date: 01/09/2018 - 01/09/2021. Running. Total amount: 224.000 €euros
- Title: Entanglement in Quantum Systems.
Funded by: Ministerio de Econom\'{\i}%a. Ref. MTM2011-26912. (2012 - 2014. 36 months). PI: Dr. David Pérez-García
- Title: QUITEMAD: Quantum Information Technologies in Madrid.
Funded by:Comunidad de Madrid. Ref. S2009-ESP/1594Dates: January 2010 - December 2013.
PI: Prof. Miguel \'{A}ngel Mart\'{\i}n Delgado
- Title: Probabilistic approach to finite and infinite dimensional dynamical systems.
Funded by: Funda\c{c}\~{a}o para a Ci\^{e}ncia e a Tecnologia.
Period: From 2011 to 2012. Ref: (PTDC/MAT/104173/2008). P.I.: Prof. Ana Bela Cruzeiro
- Title: Cosmologia basica y observacional. Funded by: Proyecto financiado por
la Direccion general de Investigacion, MCyT, BFM 2000-0810. Duration: From
2000 to 2003. Principal researcher: Prof. Emilio Elizalde
- Title : Cosmologia, gravitacion y funciones zeta. Funded by: Proyecto
financiado por la Direccion general de Investigacion, MCyT, BFM 2003-00620.
Duration: From 2003 to 2006. Principal researcher: Prof. Emilio Elizalde
- Title: Network Model for Learning Associative Transitive Inference.
Funded by: Swartz foundation at Brandeis University (Volen Center for Complex
Systems). Period: From 2008 to 2010. Principal researcher: Dr. Paul Miller.
米格尔，男，1977年8月生，西班牙人
BEVITOR伟德特聘教授
邮箱：tierz@fc.ul.pt，办公室：F202
ORCID 0000-0002-4579-4364 Researcher ID: A-6007-2019 Scopus Author ID: 6506845842
教育背景：
l 2008年博士毕业于西班牙巴塞罗那大学，理论数学物理专业 ，方向：随机矩阵理论，统计力学模型；博士论文：“Chern-Simons理论中的随机矩阵模型”，“ Chern-Simons理论随机矩阵模型的发展”，优秀博士毕业论文，导师：E.Elizalde教授
l 2003年硕士毕业于西班牙巴塞罗那大学，理论物理专业
l 1999年本科毕业于西班牙巴塞罗那大学，专业第六名，共154人
工作经历：
l 2008-2010年，美国布兰迪斯大学复杂系统研究中心博士后
l 2010-2012年，获戴维斯夫人奖学金，以色列耶路撒冷希伯来大学爱因斯坦数学研究所博士后
l 2012-2015年，获Juan de la Cierva奖学金，马德里大学数学系博士后
l 2015-2021年，葡萄牙里斯本大学数学系助理教授、博士生导师；葡萄牙研究基金会FCT研究员（5年职位）；研究项目：规范理论中的随机矩阵（25000欧元，主持）；QuantumG，PTDC/MAT-PUR/30234/2017（224000欧元，参与）。
l2022年12月至今，BEVITOR伟德特聘教授
博士培养情况：
l 独立指导David Garcia博士，获里斯本数学系奖学金PD/BD/113627/2015，博士论文：随机矩阵集合中的舒尔平均数，2020年1月30日，以优异成绩一致通过答辩。
l 独立指导Leonardo Santilli博士生，获奖学金FCT SFRH/BD/129405/2017，博士论文：阶段规范理论和随机矩阵模型的转变，2018年2月至今已发表8篇SCI Q1联合论文。
教学情况：
l 2012-2013年，《复分析》、《功能分析》助理教授，合作教授：David Perez Garca
l 2013-2014年，《实分析》助理教授，两个学期，数学系一年级课程，合作教授：Pilar Cembranos
l 2014-2015年，《微分学》助理教授，数学系二年级课程，合作教授：Francisco Hernandez Rodriguez
l 2014-2015年，《工程数学方法》助理教授，一年级工程信息学专业计算课，独立讲授
l 2019-2020年，ISCTE-IUL七门完整课程的独立授课，24学分ECTS，《数学分析》和《代数》（每周9小时），第二学期两组/课程《优化》（每周12 ECTS/9小时）
l 2020-2021年第一学期，《概率论与随机性》，二年级课程（18 ECTS/13.5小时/周），在马德里大学和里斯本大学共讲授48个ECTS学分课程
博士论文答辩委员：
l 2014年6月9日，Carlos Fernandez博士生论文答辩委员兼秘书，答辩论文：数学纠缠问题的解决方法，导师：David Perez Garce教授
l 2019年6月，Zoltan Kokeyensi博士生论文答辩反方，答辩论文：拓扑弦理论的若干问题，导师：Annamaria Sinkovics教授和Richard J.Szabo教授
l 2019年10月21日，Davide Polini博士生论文答辩会委员，答辩论文：在STU模型中对N=2bps黑洞的分类和计数，导师：Gabriel Lopes Cardoso教授
奖学金：
l 以色列戴维斯夫人奖学金，2010-2011年
l Juan de la Cierva奖学金，西班牙，2012-2015年
l Investigador（研究员，相当于助理教授）FCT 2014，葡萄牙，2015年至今，最高分：9.0/9.0，并列排名第一
掌握语言：
母语：西班牙语；英语（非常流利）、葡萄牙语（流利）、法语（基本）