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Identification

Personal identification

Full name
Marko Stosic

Author identifiers

Ciência ID
211C-4FE0-B337
ORCID iD
0000-0002-4464-396X
Education
Degree Classification
2006/03/31
Concluded
 Doutoramento em Matematica (Doutoramento)
Universidade de Lisboa Instituto Superior Técnico, Portugal
"Khovanov homology of links and graphs" (THESIS/DISSERTATION)
 aprovado
2001
Concluded
 Licenciatura em Fisica (Licencjat)
Univerzitet u Beogradu Fizicki fakultet, Serbia
"n/a" (THESIS/DISSERTATION)
 9.21 on scale 10
2000
Concluded
 Licenciatura em Matematica (Licencjat)
Univerzitet u Beogradu Matematicki Fakultet, Serbia
"n/a" (THESIS/DISSERTATION)
 10 on scale 10
Affiliation

Science

Category
Host institution 		Employer
2009/02/01 - Current Visiting Researcher (Research) Srpska Akademija Nauka i Umetnosti Matematicki Institut, Serbia
2017/01/01 - 2024/12/29 Principal Investigator (Research) Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
2015/01/01 - 2016/12/31 Postdoc (Research) Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
2006/04/01 - 2014/12/31 Auxiliary Researcher (Research) Universidade de Lisboa Instituto de Sistemas e Robótica, Portugal

Teaching in Higher Education

Category
Host institution 		Employer
2024/12/30 - Current Assistant Professor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
2000/10/01 - 2002/01/31 Assistant (University Teacher) Univerzitet u Beogradu Matematicki Fakultet, Serbia

Others

Category
Host institution 		Employer
2016/04 - 2016/05 Research Visit Max-Planck-Institut für Mathematik, Germany
Max-Planck-Institut für Mathematik, Germany
2016/03 - 2016/04 Research Visit Institut des Hautes Études Scientifiques, France
Institut des Hautes Études Scientifiques, France
2015/05 - 2015/06 Research Visit Simons Center for Geometry and Physics, United States
Simons Center for Geometry and Physics, United States
2002/02/01 - 2006/03/31 PhD student Universidade de Lisboa Instituto Superior Técnico, Portugal
Projects

Grant

Designation Funders
2018/07/01 - 2022/06/30 Higher Structures and Applications
MAT-PUR/31089/2017
Co-Principal Investigator (Co-PI)
Fundação para a Ciência e a Tecnologia
Ongoing
2017/01/01 - 2021/11/01 Categorification, quantization and knots
IF/00998/2015
Principal investigator
Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
 Fundação para a Ciência e a Tecnologia
Ongoing
2011/01/01 - 2019/12/31 Geometry, Education and Visualization With Applications
info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174012/RS
Researcher
Republika Srbija Ministarstvo prosvete nauke i tehnoloskog razvoja
Concluded
2013/12/01 - 2019/11/30 Quantum fields and knot homologies
info:eu-repo/grantAgreement/EC/FP7/335739/EU
Researcher
European Commission
Concluded
2014 - 2017 New connections between link homologies and physics
New connections between link homologies and physics
Principal investigator
American Institute of Mathematics
Concluded

Contract

Designation Funders
2021/11/02 - 2027/11/01 Knots, quivers and categorifications
2020.02453.CEECIND/CP1587/CT0007
10.54499/2020.02453.CEECIND/CP1587/CT0007
Principal investigator
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
 Fundação para a Ciência e a Tecnologia
Ongoing
2022/05/17 - 2024/05/16 Matrix Pencils and Control Theory
EXPL/MAT-PUR/0584/2021
10.54499/EXPL/MAT-PUR/0584/2021
Co-Principal Investigator (Co-PI)
FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal
 Fundação para a Ciência e a Tecnologia
Ongoing
2019/01/01 - 2019/12/31 Centro de Análise Matemática, Geometria e Sistemas Dinâmicos
UID/MAT/04459/2019
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal

Universidade de Lisboa Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2012/12/31 Projecto Estratégico - LA 9 - 2011-2012
PEst-OE/EEI/LA0009/2011
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal

Universidade de Lisboa Instituto Superior Técnico, Portugal

Universidade da Madeira Madeira Interactive Technologies Institute, Portugal

Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal

Instituto do Mar, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2008/01/01 - 2010/12/31 SIPM - Processamento de Sinal e Imagem em Variedades Diferenciais
PTDC/EEA-ACR/73749/2006
Universidade de Lisboa Instituto Superior Técnico, Portugal

Universidade de Lisboa Instituto de Sistemas e Robótica, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2007/03/01 - 2008/02/29 Symmetries, gravity and strings
POCI/FP/63916/2005
Universidade do Algarve Centro de Investigação Tecnológica do Algarve, Portugal

Universidade de Lisboa Centro de Astrofísica e Gravitação, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Journal article
  1. Stošic, Marko; Sulkowski, Piotr. "Torus knots and generalized Schröder paths". Nuclear Physics B 1012 (2025): 116814. https://doi.org/10.1016/j.nuclphysb.2025.116814.
    In press • 10.1016/j.nuclphysb.2025.116814
  2. Dragovic, Vladimir; Stošic, Marko. "Billiard partitions, Fibonacci sequences, SIP classes, and quivers". Proceedings of the American Mathematical Society 152 10 (2024): 4141-4154. https://doi.org/10.1090/proc/16918.
    Published • 10.1090/proc/16918
  3. Marija Dodig; Marko Stošic. "Bounded rank perturbations of a regular matrix pencil". Linear Algebra and its Applications (2024): http://dx.doi.org/10.1016/j.laa.2024.02.028.
    10.1016/j.laa.2024.02.028
  4. Dodig, M.; Stosi, M.. "BOUNDED RANK PERTURBATIONS OF QUASI-REGULAR PENCILS OVER ARBITRARY FIELDS". SIAM Journal on Matrix Analysis and Applications 44 4 (2023): 1879-1907. http://www.scopus.com/inward/record.url?eid=2-s2.0-85179759989&partnerID=MN8TOARS.
    10.1137/22M1504068
  5. Dodig, M.; Stošic, M.. "Double generalized majorization and diagrammatics". Ars Mathematica Contemporanea 23 2 (2023): http://www.scopus.com/inward/record.url?eid=2-s2.0-85140265628&partnerID=MN8TOARS.
    10.26493/1855-3974.2691.0b7
  6. Dodig, M.; Stošic, M.. "Bounded rank perturbations of matrix pencils without nontrivial invariant factors". Linear and Multilinear Algebra (2023): http://www.scopus.com/inward/record.url?eid=2-s2.0-85176111180&partnerID=MN8TOARS.
    10.1080/03081087.2023.2277210
  7. Ekholm, T.; Gruen, A.; Gukov, S.; Kucharski, P.; Park, S.; Stošic, M.; Sulkowski, P.. "Branches, quivers, and ideals for knot complements". Journal of Geometry and Physics 177 (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85127914408&partnerID=MN8TOARS.
    10.1016/j.geomphys.2022.104520
  8. Dodig, M.; Stošic, M.. "Completion of matrix pencils with a single rank restriction". Linear and Multilinear Algebra 70 21 (2022): 7027-7048. http://www.scopus.com/inward/record.url?eid=2-s2.0-85116312497&partnerID=MN8TOARS.
    10.1080/03081087.2021.1981810
  9. Dodig, M.; Stošic, M.. "Double generalized majorization". Electronic Journal of Combinatorics 29 4 (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85140224461&partnerID=MN8TOARS.
    10.37236/11127
  10. Stošic, Marko; Wedrich, Paul. "Tangle addition and the knots-quivers correspondence". Journal of the London Mathematical Society (2021): http://dx.doi.org/10.1112/jlms.12433.
    In press • 10.1112/jlms.12433
  11. Dodig, Marija; Stošic, Marko. "A new approach to square matrix completion problem". Linear and Multilinear Algebra (2020): 1-9. http://dx.doi.org/10.1080/03081087.2020.1809616.
    10.1080/03081087.2020.1809616
  12. Baragaña, Itziar; Dodig, Marija; Roca, Alicia; Stošic, Marko. "Bounded rank perturbations of regular pencils over arbitrary fields". Linear Algebra and its Applications 601 (2020): 180-188. http://dx.doi.org/10.1016/j.laa.2020.05.015.
    Published • 10.1016/j.laa.2020.05.015
  13. Dodig, Marija; Stosic, Marko. "GMPCP for one row and one column completion". The Electronic Journal of Linear Algebra 36 36 (2020): 473-483. http://dx.doi.org/10.13001/ela.2020.5203.
    Published • 10.13001/ela.2020.5203
  14. Dodig, Marija; Stošic, Marko. "Rank One Perturbations of Matrix Pencils". SIAM Journal on Matrix Analysis and Applications 41 4 (2020): 1889-1911. http://dx.doi.org/10.1137/19m1279411.
    Published • 10.1137/19m1279411
  15. Dodig, M.; Stošic, M.. "Combinatorics of polynomial chains". Linear Algebra and Its Applications 589 (2020): 130-157. http://www.scopus.com/inward/record.url?eid=2-s2.0-85077167931&partnerID=MN8TOARS.
    10.1016/j.laa.2019.12.028
  16. Dodig, M.; Stošic, M.. "GMPCP for one row and one column completion". Electronic Journal of Linear Algebra 36 1 (2020): 473-483. http://www.scopus.com/inward/record.url?eid=2-s2.0-85090689865&partnerID=MN8TOARS.
  17. Stošic, Marko; Wedrich, Paul. "Rational Links and DT Invariants of Quivers". International Mathematics Research Notices (2019): http://dx.doi.org/10.1093/imrn/rny289.
    Published • 10.1093/imrn/rny289
  18. Dodig, M.; Stosic, M.. "The general matrix pencil completion problem: A minimal case". SIAM Journal on Matrix Analysis and Applications 40 1 (2019): 347-369. http://www.scopus.com/inward/record.url?eid=2-s2.0-85064405020&partnerID=MN8TOARS.
    10.1137/17M1155041
  19. Stošic, M.. "On extended graphical calculus for categorified quantum sl(n)". Journal of Pure and Applied Algebra 223 2 (2019): 691-712. http://www.scopus.com/inward/record.url?eid=2-s2.0-85046771348&partnerID=MN8TOARS.
    10.1016/j.jpaa.2018.04.015
  20. Dodig, M.; Stošic, M.. "Feedback invariants of series connected systems". Linear Algebra and Its Applications 577 (2019): 244-269. http://www.scopus.com/inward/record.url?eid=2-s2.0-85065135699&partnerID=MN8TOARS.
    10.1016/j.laa.2019.04.031
  21. Kucharski, P.; Reineke, M.; Stosic, Marko; Sulkowski, P.. "Knots-quivers correspondence". Advances in Theoretical and Mathematical Physics 23 7 (2019):
  22. Kucharski, P.; Reineke, M.; Stošic, M.; Sulkowski, P.. "Knots-quivers correspondence". Advances in Theoretical and Mathematical Physics 23 7 (2019): 1849-1902. http://www.scopus.com/inward/record.url?eid=2-s2.0-85086910897&partnerID=MN8TOARS.
    10.4310/ATMP.2019.V23.N7.A4
  23. Panfil, M.; Stošic, M.; Sulkowski, P.. "Donaldson-Thomas invariants, torus knots, and lattice paths". Physical Review D 98 2 (2018): http://www.scopus.com/inward/record.url?eid=2-s2.0-85051142764&partnerID=MN8TOARS.
    10.1103/PhysRevD.98.026022
  24. Gorsky, E.; Gukov, S.; Stošic, M.. "Quadruply-graded colored homology of knots". Fundamenta Mathematicae 243 3 (2018): 301-311. http://www.scopus.com/inward/record.url?eid=2-s2.0-85056571086&partnerID=MN8TOARS.
    10.4064/fm30-11-2017
  25. Kucharski, P.; Reineke, M.; Stošic, M.; Sulkowski, P.. "BPS states, knots, and quivers". Physical Review D 96 12 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-85040183847&partnerID=MN8TOARS.
    10.1103/PhysRevD.96.121902
  26. Zekovic, A.; Jablan, S.; Kauffman, L.; Sazdanovic, R.; Stošic, M.. "Unknotting and maximum unknotting numbers". Journal of Knot Theory and its Ramifications 25 9 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-84979240749&partnerID=MN8TOARS.
    10.1142/S0218216516410108
  27. Stošic, M.; Xavier, J.; Dodig, M.. "Projection on the intersection of convex sets". Linear Algebra and Its Applications 509 (2016): 191-205. http://www.scopus.com/inward/record.url?eid=2-s2.0-84981294048&partnerID=MN8TOARS.
    10.1016/j.laa.2016.07.023
  28. Gukov, S.; Nawata, S.; Saberi, I.; Stošic, M.; Sulkowski, P.. "Sequencing BPS spectra". Journal of High Energy Physics 2016 3 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-84959484432&partnerID=MN8TOARS.
    10.1007/JHEP03(2016)004
  29. Stošic, M.. "Slavik Jablan's last notes on the Chern-Simons invariants of knots". Journal of Knot Theory and its Ramifications 25 9 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-84978035553&partnerID=MN8TOARS.
    10.1142/S0218216516410169
  30. Stošic, M.. "Indecomposable objects and Lusztig's canonical basis". Mathematical Research Letters 22 1 (2015): 245-278. http://www.scopus.com/inward/record.url?eid=2-s2.0-84927604309&partnerID=MN8TOARS.
    10.4310/MRL.2015.v22.n1.a13
  31. Dodig, M.; Stošic, M.; Xavier, J.. "On minimizing a quadratic function on Stiefel manifold". Linear Algebra and Its Applications 475 (2015): 251-264. http://www.scopus.com/inward/record.url?eid=2-s2.0-84924303288&partnerID=MN8TOARS.
    10.1016/j.laa.2015.02.028
  32. Mackaay, M.; Stošic, M.; Vaz, P.. "A diagrammatic categorification of the q-schur algebra". Quantum Topology 4 1 (2015): 1-75. http://www.scopus.com/inward/record.url?eid=2-s2.0-84897396128&partnerID=MN8TOARS.
    10.4171/QT/34
  33. Oguz-Ekim, P.; Gomes, J.P.; Xavier, J.; Stošic, M.; Oliveira, P.. "An angular approach for range-based approximate maximum likelihood source localization through convex relaxation". IEEE Transactions on Wireless Communications 13 7 (2014): 3951-3964. http://www.scopus.com/inward/record.url?eid=2-s2.0-84904290175&partnerID=MN8TOARS.
    10.1109/TWC.2014.2314653
  34. Dodig, M.; Stošic, M.. "The rank distance problem for pairs of matrices and a completion of quasi-regular matrix pencils". Linear Algebra and Its Applications 457 (2014): 313-347. http://www.scopus.com/inward/record.url?eid=2-s2.0-84902184468&partnerID=MN8TOARS.
    10.1016/j.laa.2014.05.029
  35. Dodig, M.; Stošic, M.. "On properties of the generalized majorization". Electronic Journal of Linear Algebra 26 (2013): 471-509. http://www.scopus.com/inward/record.url?eid=2-s2.0-84880931745&partnerID=MN8TOARS.
  36. Fuji, H.; Gukov, S.; Stošic, M.; Sulkowski, P.. "3d analogs of Argyres-Douglas theories and knot homologies". Journal of High Energy Physics 2013 1 (2013): http://www.scopus.com/inward/record.url?eid=2-s2.0-84873302499&partnerID=MN8TOARS.
    10.1007/JHEP01(2013)175
  37. Dodig, M.; Stošic, M.. "Explicit solution of the Carlson problem". Linear Algebra and Its Applications 436 1 (2012): 190-201. http://www.scopus.com/inward/record.url?eid=2-s2.0-80055054432&partnerID=MN8TOARS.
    10.1016/j.laa.2011.06.045
  38. Khovanov, M.; Lauda, A.D.; Mackaay, M.; Stosíc, M.. "Extended graphical calculus for categorified quantum sl(2)". Memoirs of the American Mathematical Society 219 1029 (2012): 1-87. http://www.scopus.com/inward/record.url?eid=2-s2.0-84863665494&partnerID=MN8TOARS.
    10.1090/S0065-9266-2012-00665-4
  39. Paladini, M.; Del Bue, A.; Xavier, J.; Agapito, L.; Stošic, M.; Dodig, M.. "Optimal metric projections for deformable and articulated structure-from-motion". International Journal of Computer Vision 96 2 (2012): 252-276. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856508115&partnerID=MN8TOARS.
    10.1007/s11263-011-0468-5
  40. Gukov, Sergei; Stošic, Marko. "Homological algebra of knots and BPS states". Geometry and Topology Monographs 18 (2012): 309-367. https://msp.org/gtm/2012/18/p015.xhtml.
    Published • 10.2140/gtm.2012.18.309
  41. Stošic, M.; Marques, M.; Costeira, J.P.. "Convex solution of a permutation problem". Linear Algebra and Its Applications 434 1 (2011): 361-369. http://www.scopus.com/inward/record.url?eid=2-s2.0-78049430021&partnerID=MN8TOARS.
    10.1016/j.laa.2010.08.028
  42. Mackaay, M.; Stošic, M.; Vaz, P.. "The 1,2-coloured homfly-pt link homology". Transactions of the American Mathematical Society 363 4 (2011): 2091-2124. http://www.scopus.com/inward/record.url?eid=2-s2.0-79951831799&partnerID=MN8TOARS.
    10.1090/S0002-9947-2010-05155-4
  43. Dodig, M.; Stošic, M.. "Combinatorics of column minimal indices and matrix pencil completion problems". SIAM Journal on Matrix Analysis and Applications 31 5 (2010): 2318-2346. http://www.scopus.com/inward/record.url?eid=2-s2.0-79251503936&partnerID=MN8TOARS.
    10.1137/090747853
  44. Dodig, M.; Stošic, M.. "On convexity of polynomial paths and generalized majorizations". Electronic Journal of Combinatorics 17 1 (2010): 1-16. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955632596&partnerID=MN8TOARS.
  45. StoŠi, M.. "On conjectures about positive braid knots and almost alternating torus knots". Journal of Knot Theory and its Ramifications 19 11 (2010): 1471-1486. http://www.scopus.com/inward/record.url?eid=2-s2.0-78650392668&partnerID=MN8TOARS.
    10.1142/S0218216510008509
  46. Mackaay, M.; Stošic, M.; Vaz, P.. "Sl(N)-link homology (N= 4) using foams and the Kapustin-Li formula". Geometry and Topology 13 2 (2009): 1075-1128. http://www.scopus.com/inward/record.url?eid=2-s2.0-74249100145&partnerID=MN8TOARS.
    10.2140/gt.2009.13.1075
  47. Del Bue, A.; Stosic, M.; Dodig, M.; Xavier, J.. "2D-3D registration of deformable shapes with manifold projection". Proceedings - International Conference on Image Processing, ICIP (2009): 1061-1064. http://www.scopus.com/inward/record.url?eid=2-s2.0-77951961790&partnerID=MN8TOARS.
    10.1109/ICIP.2009.5413705
  48. Marques, M.; Stošic, M.; Costeira, J.. "Subspace matching: Unique solution to point matching with geometric constraints". Proceedings of the IEEE International Conference on Computer Vision (2009): 1288-1294. http://www.scopus.com/inward/record.url?eid=2-s2.0-77953180699&partnerID=MN8TOARS.
    10.1109/ICCV.2009.5459318
  49. Dodig, M.; Stošic, M.. "Similarity class of a matrix with a prescribed submatrix". Linear and Multilinear Algebra 57 3 (2009): 217-245. http://www.scopus.com/inward/record.url?eid=2-s2.0-70449361097&partnerID=MN8TOARS.
    10.1080/03081080801987726
  50. Stošic, M.. "Khovanov homology of torus links". Topology and its Applications 156 3 (2009): 533-541. http://www.scopus.com/inward/record.url?eid=2-s2.0-58349095141&partnerID=MN8TOARS.
    10.1016/j.topol.2008.08.004
  51. Paladini, M.; Bue, A.D.; Stošic, M.; Dodig, M.; Xavier, J.; Agapito, L.. "Factorization for Non-Rigid and Articulated Structure using Metric Projections". 2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops 2009 (2009): 2898-2905. http://www.scopus.com/inward/record.url?eid=2-s2.0-70450164214&partnerID=MN8TOARS.
    10.1109/CVPRW.2009.5206602
  52. Dodig, M.; Stošic, M.. "Singular systems, state feedback problem". Linear Algebra and Its Applications 431 8 (2009): 1267-1292. http://www.scopus.com/inward/record.url?eid=2-s2.0-67650602090&partnerID=MN8TOARS.
    10.1016/j.laa.2009.04.024
  53. Aguiar, P.M.Q.; Xavier, J.M.F.; Stosic, M.. "Spectrally optimal factorization of incomplete matrices". 26th IEEE Conference on Computer Vision and Pattern Recognition, CVPR (2008): http://www.scopus.com/inward/record.url?eid=2-s2.0-51949113107&partnerID=MN8TOARS.
    10.1109/CVPR.2008.4587675
  54. Stošic, M.. "Categorification of the dichromatic polynomial for graphs". Journal of Knot Theory and its Ramifications 17 1 (2008): 31-45. http://www.scopus.com/inward/record.url?eid=2-s2.0-44249100671&partnerID=MN8TOARS.
    10.1142/S0218216508005975
  55. Aguiar, P.M.Q.; Xavier, J.M.F.; Stošic, M.. "Globally optimal solution to exploit rigidity when recovering structure from motion under occlusion". Proceedings - International Conference on Image Processing, ICIP (2008): 197-200. http://www.scopus.com/inward/record.url?eid=2-s2.0-69949116456&partnerID=MN8TOARS.
    10.1109/ICIP.2008.4711725
  56. Aguiar, P.M.Q.; Stošic, M.; Xavier, J.. "On singular values of partially prescribed matrices". Linear Algebra and Its Applications 429 8-9 (2008): 2136-2145. http://www.scopus.com/inward/record.url?eid=2-s2.0-49249090348&partnerID=MN8TOARS.
    10.1016/j.laa.2008.06.021
  57. Stošic, M.. "Homological thickness and stability of torus knots". Algebraic and Geometric Topology 7 1 (2007): 261-284. http://www.scopus.com/inward/record.url?eid=2-s2.0-58349111953&partnerID=MN8TOARS.
    10.2140/agt.2007.7.261
  58. Dodig, M.; Stošic, M.. "The change of feedback invariants under one row perturbation". Linear Algebra and Its Applications 422 2-3 (2007): 582-603. http://www.scopus.com/inward/record.url?eid=2-s2.0-33847303075&partnerID=MN8TOARS.
    10.1016/j.laa.2006.11.017
  59. Stošic, M.. "New categorifications of the chromatic and dichromatic polynomials for graphs". Fundamenta Mathematicae 190 (2006): 231-243. http://www.scopus.com/inward/record.url?eid=2-s2.0-33745655851&partnerID=MN8TOARS.
    10.4064/fm190-0-9
  60. Stošic, M.; Picken, R.. "Parasupersymmetric quantum mechanics of order three and a generalized witten index". Modern Physics Letters A 20 17-18 (2005): 1395-1407. http://www.scopus.com/inward/record.url?eid=2-s2.0-21144435427&partnerID=MN8TOARS.
    10.1142/S0217732305017846
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2025/01/29 Knots are (almost) everywhere Mathematics Colloquium
University of Lisbon, Faculty of Sciences (Lisbon, Portugal)
2024/07/10 Lattice paths counts, billiard partitions, quivers and knots National Meeting of Portuguese Mathematical Society ENSPM 2024
University of Minho (Braga, Portugal)
2024/07/08 Knots, quivers and billiards Integrability and Moduli Conference
University of Lisbon (Lisbon, Portugal)
2024/06/12 Combinatorics of integer partitions, and bounded rank perturbations of matrix pencils ALAMA 2024 Conference
University of Oviedo (Gijon, Spain)
2024/05/10 Knots-quivers correspondence: generalizations and combinatorics Summary workshop: Knots, homologies and physics
Mathematical Institute Polish Academy of Sciences (Warsaw, Poland)
2024/05 Knot quantum invariants, graphs, and combinatorics, I-III Advanced school: Insights into knots, homologies and physics
University of Warsaw (Warsaw, Poland)
2024/01/16 Knots, quivers, and recursions Topology Seminar
University of Iowa (Iowa, United States)
2023/09/11 Knots, 3-manifolds and quivers Iberoamerican and Pan Pacific International Conference on Topology and its Applications
(Puebla, Mexico)
2023/06/15 Bounded rank perturbations and Matrix pencils completions ILAS 2023 Conference
(Madrid, Spain)
2023/03/15 Invariants of knots and 3-manifolds, and knots-quivers correspondence One Day Workshop in Geometry and Topology
(Coimbra, Portugal)
2023/03/01 New applications of knots-quivers correspondence Learning Workshop on BPS states and 3-manifolds
International Center for Theoretical Physics, ICTP, Trieste (Trieste, Italy)
2023/01/19 Knots-quivers correspondence, and rational knots Topology Seminar
University of Warsaw, Faculty of Mathematics (Warsaw, Poland)
2022/12/01 Combinatorics in matrix pencils completions and low rank perturbations OSELOT Seminar
(Poland)
2022/06/30 New invariants of knots and 3-manifolds Conference "XXI Geometrical Seminar"
(Belgrade, Serbia)
2022/06/15 Generalized majorization for partitions of integers, and its diagrammatics 9th International Conference on Matrix Analysis and Applications (ICMAA 2022)
University of Aveiro (Aveiro, Portugal)
2022/06/02 New Diagrammatics in Double Generalized Majorization Problem, and its applications ALAMA 2022 Conference
University of Alcala (Alcala de Henares, Spain)
2022/02/02 Knot invariants, knot complements and quivers Recent developments in link homology theories
SwissMAP Research Station (Switzerland)
2021/10/08 Modern quantum invariants of knots and 3-dimensional manifolds 75 years of Mathematical Institute SANU
Serbian Academy of Sciences and Arts (Belgrade, Serbia)
2021/09/13 Knots-quivers correspondence, and applications Knots and Representation theory Seminar
(Moscow)
2020/06/26 Rational and algebraic links and knots-quivers correspondence TQFT Seminar
(Lisbon, Portugal)
2019/04/18 Rational knots, quivers, and some open problems Seminar for Geometry and Visualization
(Belgrade, Serbia)
2018 Knots-quivers correspondence, torus knots and lattice paths Categorification and Higher Representation Theory
Mittag-Lefler Institut (Djursholm, Sweden)
2018 Knots-quivers correspondence, lattice paths, and rational knots Quantum fields, knots, and strings
(Warsaw, Poland)
2018 Matrix completions and combinatorics of polynomial paths Workshop on Matrix Theory and Representation Theory
(Lisboa, Portugal)
2017 Combinatorics and HOMFLYPT invariants of knots Cmuc Seminario
(Coimbra, Portugal)
2017 Combinatorics of HOMFLY invariants for knots Preservers Everywhere
Bolyai Institute (Szeged, Hungary)
2016 Cvorovi, kategorifikacija, i matematicka fizika
MISANU (Belgrado, Serbia)
2016 Thick calculus, colored HOMFLY-PT homologies, and beyond Categorification workshop
(Bonn, Germany)
2016 Some applications of representation theory in categorifications and knot theory Seminar of Representation Theory and Related Areas
(Lisboa, Portugal)
2016 Colored HOMFLY-PT polynomial, categorification, and BPS numbers Joint Topology Seminar, Paris VII - Paris XIII
(Paris, France)
2015 Colored HOMFLY-PT homology of knots and links, and recursion relations, Physics and mathematics of knot homologies
Simons Center for Geometry and Physics (Stony Brook, United States)
2015 Lie superalgebras and double affine Hecke algebras in colored HOMFLYPT knot invariants Joint AMS-EMS-SPM International Meeting
(Porto, Portugal)
2015 Equiangular tight frames, and beyond Mattriad 2015
(Coimbra, Portugal)
2014 Colored HOMFLY homology Quantum curves and quantum knot invariants
BIRS (Banff, Canada)
2014 Colored HOMFLY homology of knots and links Categorification and Geometric Representation Theory
(Montreal, Canada)
2014 Colored HOMFLY-PT homology of knots QGM Seminar
Center Quantum Geometry of Moduli spaces (Aarhus, Denmark)
2013 Colored HOMFLY homology of knots and links I Physics and Mathematics of Link homologies
Centre de Reserches Mathematiques (Montreal, Canada)
2013 Colored HOMFLY homology of knots and links II Physics and Mathematics of Link Homology
Centre de Recherches Mathematiques (Montreal, Canada)
2013 Structure of the colored HOMFLY knot homology Differential Geometry & Topology Seminar
Cambridge University (Cambridge, United Kingdom)
2012 Structure of colored HOMFLY homology of knots Recent Advances in Topological Quantum Field Theory
University of Lisbon (Lisbon, Portugal)
2011 Indecomposables in Khovanov-Lauda’s categories, canonical bases and categorical braid action Homological Invariants in Low-dimensional Topology
Simons Center for Geometry and Physics (Stony Brook, United States)
2010 Categorification of colored HOMFLY polynomial XIX Oporto Meeting on Geometry, Topology and Physics
University of Algarve (Faro, Portugal)
2008 sl(N)-link homology using foams and the Kapustin-Li formula Columbia Symplectic Geometry and Gauge Theory Seminar
Columbia University (New York, United States)
2008 Properties of Khovanov homology of positive braid knots and torus knots GWU Topology Seminar
George Wahington University (Washington, DC, United States)
2007 Homology of torus knots and links Link homology and categorification
Research Institute for Mathematical Sciences - RIMS (Kyoto, Japan)
2007 sl(N)-link homology using foams and the Kapustin-Li formula XVI Oporto Meeting on Geometry, Topology and Physics
University of Algarve (Faro, Portugal)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2016/03 - 2016/12 The Alexander polynomial through millenniums (Aleksanderov polinom kroz milenijume)
Supervisor
 Matematica (Master)
Univerzitet u Beogradu Matematicki Fakultet, Serbia
2007 - 2008/06 A Combinatorial Approach to the HOMFLY n-specializations
Co-supervisor
 Matematica (Master)
Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2016 - Current TQFT seminar (2016)
Seminar (Co-organisor)
 Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal
2023/05/19 - 2023/05/19 Linear Algebra Workshop (2023/05/19 - 2023/05/19)
Workshop (Co-organisor)
 Universidade de Lisboa Faculdade de Ciências, Portugal
2016/07 - 2016/07 Special Session -- Categorification (Encontro de SPM) (2016/07 - 2016/07)
Conference (Co-organisor)
 Instituto Politécnico de Setúbal Escola Superior de Tecnologia do Barreiro, Portugal
2015/09 - 2015/09 Invited Special Session – Matrix theory, applications and engineering, Mattriad 2015 (2015/09 - 2015/09)
Conference (Co-organisor)
 Universidade de Coimbra, Portugal
2014/06/16 - 2014/06/20 Quantum Curves and Quantum Knot Invariants (2014/06/16 - 2014/06/20)
Conference (Co-organisor)
 Banff International Research Station, Canada

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2023/06/23 On Rasmussen’s s-invariant and the search for exotic definite 4-manifolds João Miguel Rebelo de Oliveira (Master)
Universidade de Lisboa Instituto Superior Técnico, Portugal
2022/07/07 Quantum black hole entropy and the Rademacher expansion Martí Rosselló Gómez (PhD)
Universidade de Lisboa Instituto Superior Técnico, Portugal
2022/02/11 Basic smooth representations of unitriangular groups over p-adic fields Pedro Alexandre Correia de Matos (PhD)
Universidade de Lisboa Faculdade de Ciências, Portugal
2020 Smooth representations of Groups associated with Algebras defined over non-archimedean fields João Miguel Cardoso Dias (PhD)
Universidade de Lisboa Faculdade de Ciências, Portugal
2018 Discriminative Optimization: Theory and Applications to Computer Vision Jayakorn Vongkulbhisal (PhD)
Universidade de Lisboa Instituto de Sistemas e Robótica, Portugal
2018 Riemann surfaces and dessins d’enfants Javier Alcaide Perez (Master)
Universidade de Lisboa Faculdade de Ciências, Portugal
2016 The Alexander polynomial through millenniums
Supervisor
 Stefan Mihajlovic (Master)
Univerzitet u Beogradu Matematicki Fakultet, Serbia
2008 A CATEGORIFICATION OF THE QUANTUM sl(N)-LINK POLYNOMIALS USING FOAMS Pedro Miguel dos Santos Santana Forte Vaz (PhD)
Universidade do Algarve Faculdade de Ciências e Tecnologia, Portugal
2008 A Combinatorial Approach to the HOMFLY n-specializations Nuno Ricardo Barroso de Freitas (Master)
Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal

Journal scientific committee

Journal title (ISSN) Publisher
2016 - Current Journal of High Energy Physics (1029-8479) Springer-Verlag
2015 - Current Quantum Topology (1663-487X) European Mathematical Society Publishing House
2015 - Current Proceedings of the London Mathematical Society (1234-5678) London Mathematical Society
2015 - Current Physics Letters B (0370-2693) Elsevier
2014 - Current Advances in Mathematics (1090-2082) Elsevier
2013 - Current Duke Mathematical Journal (0012-7094) Duke University Press
2012 - Current Algebraic & Geometric Topology (1472-2739) Mathematical Sciences Publishers
2011 - Current Linear and Multilinear Algebra (1563-5139) Informa UK (Taylor & Francis)
2011 - Current Journal of Knot Theory and Its Ramifications (0218-2165) World Scientific
2010 - Current Linear Algebra and its Applications (0024-3795) Elsevier

Scientific expedition

Activity description Institution / Organization
2024/05/08 - 2024/05/17 Scientific Leader at the Simons Semester "Knots, homologies and physics" 2024 Uniwersytet Warszawski, Poland
Distinctions

Other distinction

2017 Editors' Suggestion - journal Physical Review D
2008 DoCoMo USA Labs Innovative Paper Award, ICIP 2008
IEEE, United States
2007 Post-doctoral Scholarship
Fundação para a Ciência e a Tecnologia, Portugal
2002 PhD scholarship
Fundação para a Ciência e a Tecnologia, Portugal
2001 The Best Student of the generation
Univerzitet u Beogradu Matematicki Fakultet, Serbia
2000 Student award
Univerzitet u Beogradu, Serbia
1999 Second prize at the International Mathematics Competition for University Students (IMC)
University College London Department of Mathematics, United Kingdom
1997 Second prize at the International Mathematics Competition for University Students (IMC)
University College London Department of Mathematics, United Kingdom
1997 Third prize at the Vojtech Jarnik International Mathematical Competition
Ostravska univerzita, Czech Republic
1996 Silver Medal at the XIII Balkan Mathematical Olympiad
1996 Third prize at the International Competition of Young Scientists