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Identification

Personal identification

Full name
Carlos Santos

Citation names

  • Santos, Carlos
  • Pereira dos Santos, Carlos

Author identifiers

Ciência ID
A210-4691-62EE
ORCID iD
0000-0001-6609-6541

Languages

Language Speaking Reading Writing Listening Peer-review
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Education
Degree Classification
2010/11/30
Concluded
Doutoramento em Matemática (Doutoramento)
Major in Análise Numérica e Matemática Computacional
Universidade de Lisboa Faculdade de Ciências, Portugal
"Some Notes on Impartial Games and Nim Dimension" (THESIS/DISSERTATION)
aprovada com Distinção e Louvor
2004/05/25
Concluded
Matemática (Mestrado)
Major in Matemática para Ensino
Universidade de Lisboa Faculdade de Ciências, Portugal
"Fórmulas de Produto: Conjectura de Chernoff" (THESIS/DISSERTATION)
Muito Bom
1999/07/30
Concluded
Ensino da Matemática (Licenciatura)
Universidade de Lisboa Faculdade de Ciências, Portugal
15
Affiliation

Science

Category
Host institution
Employer
2022/10/01 - Current Researcher (Research) Center for Mathematics and Applications (NovaMath), FCT NOVA, Portugal

Teaching in Higher Education

Category
Host institution
Employer
2018/10/01 - 2022 Invited Adjunct Teacher (Polytechnic Teacher) Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal
2005/09/01 - 2014/04/01 Adjunct Teacher (Polytechnic Teacher) Instituto Superior de Educação e Ciências, Portugal

Others

Category
Host institution
Employer
2014 - 2022 Membro Integrado Centro de Análise Funcional Estruturas Lineares e Aplicações, Portugal
2012 - 2014 Membro Integrado Universidade de Évora Centro de Investigação em Matemática e Aplicações, Portugal
2011 - 2012 Membro Integrado Centro Interuniversitário de História das Ciências e da Tecnologia, Portugal
Projects

Contract

Designation Funders
2021 - Current GIM (Glossário Inclusivo de Termos Matemáticos)
CICANTseedGIM2021
Researcher
Universidade Lusófona, Portugal
Ongoing
2019/09/16 - Current 8x8 (eight by eight)
Researcher
Erasmus Plus
Ongoing
2018 - 2021 GBL4deaf - Videojogos Educativos Acessíveis a Surdos
Researcher
Concluded
2017 - 2019 CHAMPS erasmus plus project (Chess and Mathematics in Primary Schools)
Researcher
Erasmus Plus
Concluded
Outputs

Publications

Book chapter
  1. Santos, Carlos. "A Chess Tribute to John Horton Conway". In Barrycades and Septoku: Papers in Honor of Martin Gardner and Tom Rodgers, 39-49. United States: MAA Press: An Imprint of the American Mathematical Society Electronic ISBN: 978-1-4704-5518-7, 2020.
    Published
  2. Santos, Carlos; Alda Carvalho. "A non-trivial surjective map onto the short Conway's group". In Games of no Chance 5, 271-284. MSRI Publications Series, Cambridge Press, 2019.
  3. Santos, Carlos; Urban Larsson; Richard J. Nowakowski. "Scoring games: the state of play". In Games of no Chance 5, 89-112. MSRI Publications Series, Cambridge Press, 2019.
    Published
  4. Santos, Carlos; Jorge Nuno Silva. "Nimbers in partizan games". In Games of No Chance 4, 215-223. MSRI Publications Series, Cambridge Press, 2015.
    Published
  5. Carvalho, Alda; Santos, Carlos. "A Generator of Heavy-Tailed Search Trees". In Recent Developments in Modeling and Applications in Statistics, 107-113. Springer Berlin Heidelberg, 2012.
    10.1007/978-3-642-32419-2_12
Journal article
  1. Alda Carvalho; Carlos Pereira dos Santos. "Some notes on disjunctive short sum: polychromatic nim". Discrete Applied Mathematics (2023): https://doi.org/10.1016/j.dam.2022.09.018.
    10.1016/j.dam.2022.09.018
  2. Alexandre Silva; Carlos Pereira dos Santos; João Pedro Neto; Richard J. Nowakowski. "Disjunctive sums of quasi-nimbers". Theoretical Computer Science (2022): http://dx.doi.org/10.1016/j.tcs.2022.12.015.
    10.1016/j.tcs.2022.12.015
  3. Carla Sousa; José Carlos Neves; Cátia Casimiro; Carlos Pereira dos Santos; Patrícia Carmo; Joana Mendes; Vasco Bila. "Exploring the Feasibility of Game-Based Tangible Resources in the Teaching of Deaf Preschoolers and their Hearing Peers". Journal of Educational Studies and Multidisciplinary Approaches (2022): https://doi.org/10.51383/jesma.2022.34.
    10.51383/jesma.2022.34
  4. Fisher M.; Nowakowski R.J.; Dos Santos C.P.. "INVERTIBLE ELEMENTS OF THE DICOT MISÈRE UNIVERSE". Integers (2022):
  5. Santos, Carlos. "Bounding game temperature using confusion intervals". Theoretical Computer Science (2020): http://dx.doi.org/10.1016/j.tcs.2020.11.015.
    10.1016/j.tcs.2020.11.015
  6. Carvalho, Alda; Santos, Carlos P.; Dias, Cátia; Coelho, Francisco; Neto, João P.; Nowakowski, Richard J.; Vinagre, Sandra. "On lattices from combinatorial game theory: infinite case". International Journal of Game Theory (2020): http://dx.doi.org/10.1007/s00182-020-00715-3.
    10.1007/s00182-020-00715-3
  7. Richard J. Nowakowski; Carlos P. Santos; Alexandre M. Silva. "Three-player nim with podium rule". International Journal of Game Theory (2020): https://doi.org/10.1007/s00182-019-00702-3.
    10.1007/s00182-019-00702-3
  8. Carvalho, A.; Neto, J.P.; Dos Santos, C.P.. "Combinatorics of jenga". Australasian Journal of Combinatorics 76 (2020): 87-104. http://www.scopus.com/inward/record.url?eid=2-s2.0-85076730912&partnerID=MN8TOARS.
  9. Santos, Carlos; Michael Fisher; Neil McKay; Richard J. Nowakowski; Paul Ottaway. "Atomic Weight Calculus of Spindly Games". Integers: Electronic Journal of Combinatorial Number Theory 20 (2020): http://math.colgate.edu/~integers/ug2/ug2.pdf.
  10. Alda Carvalho; João Pedro Neto; Carlos Santos. "Ordinal sums of impartial games". Discrete Applied Mathematics 243 (2018): 39-45. https://doi.org/10.1016/j.dam.2017.12.020.
    10.1016/j.dam.2017.12.020
  11. Michael Fisher; Richard J. Nowakowski; Carlos Santos. "Sterling stirling play". International Journal of Game Theory (2018): https://doi.org/10.1007/s00182-017-0598-2.
    10.1007/s00182-017-0598-2
  12. Urban Larsson; Richard J. Nowakowski; Carlos P. Santos. "Games with guaranteed scores and waiting moves". International Journal of Game Theory (2018): https://doi.org/10.1007/s00182-017-0590-x.
    10.1007/s00182-017-0590-x
  13. Aviezri Fraenkel; Urban Larsson; Carlos P. Santos; Bernhard von Stengel. "Special issue on combinatorial game theory". International Journal of Game Theory 47 2 (2018): 375-377. https://doi.org/10.1007%2Fs00182-018-0627-9.
    10.1007/s00182-018-0627-9
  14. Alda Carvalho; Carlos Pereira dos Santos; Jorge Nuno Silva. "The Geometer Dog Who Did Not Know Calculus". The College Mathematics Journal 48 5 (2017): 339-339. https://doi.org/10.4169%2Fcollege.math.j.48.5.339.
    10.4169/college.math.j.48.5.339
  15. Urban Larsson; Richard J. Nowakowski; Carlos P. Santos. "Game comparison through play". Theoretical Computer Science (2017): https://doi.org/10.1016%2Fj.tcs.2017.11.029.
    10.1016/j.tcs.2017.11.029
  16. Alda Carvalho; Carlos Pereira dos Santos; Jorge Nuno Silva. "Allégorie de la Géométrie. A Mathematical Interpretation". Recreational Mathematics Magazine 3 5 (2016): https://doi.org/10.1515%2Frmm-2016-0003.
    10.1515/rmm-2016-0003
  17. Santos, Carlos; Urban Larsson; Richard J. Nowakowski; João P. Neto. "Guaranteed scoring games". Eletronic Journal of Combinatorics (2016): http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i3p27.
    10.37236/5417
  18. Carlos Pereira dos Santos; Alda Carvalho; Cátia Lente Dias; Francisco Coelho; João P. Neto; Richard J. Nowakowski; Sandra Vinagre. "On Lattices from Combinatorial Game Theory, Modularity and a Representation Theorem: Finite Case". (2014):
    10.1016/j.tcs.2014.01.025
  19. Santos, Carlos; Jorge Nuno Silva; Pedro Duarte. "A very mathematical card trick". Recreational Mathematics Magazine 2 (2014): 41-52.
  20. Santos, Carlos; Alda Carvalho; Jorge Nuno Silva. "Mathematics of soccer". Recreational Mathematics Magazine 1 (2014): 35-48.
    Published
  21. Alex Fink; Aviezri S. Fraenkel; Carlos Santos. "LIM is not slim". International Journal of Game Theory 43 2 (2013): 269-281. https://doi.org/10.1007%2Fs00182-013-0380-z.
    10.1007/s00182-013-0380-z
  22. Alda Carvalho; Carlos P. Santos; Cátia Lente Dias; Francisco Coelho; João Pedro Neto; Sandra Vinagre. "A Recursive Process Related to a Partizan Variation of Wythoff". Integers 12 5 (2012): https://doi.org/10.1515%2Fintegers-2012-0021.
    10.1515/integers-2012-0021
  23. Dos Santos, C.P.. "Embedding processes in combinatorial game theory". Discrete Applied Mathematics 159 8 (2011): 675-682. http://www.scopus.com/inward/record.url?eid=2-s2.0-79952534783&partnerID=MN8TOARS.
    10.1016/j.dam.2010.11.019
  24. Santos, Carlos; Jorge Nuno Silva. "Konane has infinite nim-dimension". Integers: Electronic Journal of Combinatorial Number Theory (2008):
Thesis / Dissertation
  1. Santos, Carlos. "Some Notes on Impartial Games and Nim Dimension". PhD, Universidade de Lisboa Faculdade de Ciências, 2010. https://repositorio.ul.pt/handle/10451/2219.