Juan Carlos Martínez Mori

J. Carlos Martínez Mori

(he/him)

jcmm (arroba) gatech (punto) edu

I am a Schmidt Science Fellow and a President's Postdoctoral Fellow with the H. Milton Stewart School of Industrial and Systems Engineering at the Georgia Institute of Technology. My postdoctoral mentor is Alejandro Toriello.

I am interested in discrete optimization, game theory, enumerative and algebraic combinatorics, and real-world applications in transportation and public decision-making.

I earned my PhD in Applied Mathematics from the Center for Applied Mathematics at Cornell University (2023). My PhD advisor was Samitha Samaranayake. My other committee members were Pamela E. Harris, David Shmoys, and Bobby Kleinberg. Prior to that, I earned my BSc in Civil Engineering and minor in Computer Science from the University of Illinois at Urbana-Champaign (2017). My undergraduate research advisor was Daniel B. Work.

Prior to joining Georgia Tech, I was a Postdoctoral Fellow at SLMath (formerly MSRI). I have also participated in semester-long research visits at ICERM and IPAM, research internships at Amazon.com and Bosch North America, and REU mentoring at MSRI and ICERM.

Outside of work, I am a coffee enthusiast and I practice taekwondo.

I was born and raised in Guayaquil, Ecuador.

Are you wondering what is a parking function?

Are you wondering who's the GOAT?

axioms

I subscribe to Federico Ardila's axioms:

Axiom 1. Mathematical talent is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
Axiom 2. Everyone can have joyful, meaningful, and empowering mathematical experiences.
Axiom 3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
Axiom 4. Every student deserves to be treated with dignity and respect.

about my last name

In formal settings (e.g., legal documents, publications), it is Martínez Mori; two words separated by a space, not a hyphen. In informal settings, it is just Martínez. Note this Wikipedia article on naming customs of Hispanic America.

selected publications

Parking functions, Fubini rankings, and Boolean intervals in the weak order of \(\mathfrak{S}_n\)

Jennifer Elder, Pamela E. Harris, Jan Kretschmann, and J. Carlos Martínez Mori

Journal of Combinatorics (to appear), 2024

Bib

@article{elder2024boolean,
  title = {Parking functions, Fubini rankings, and Boolean intervals in the weak order of \(\mathfrak{S}_n\)},
  author = {Elder, Jennifer and Harris, Pamela E. and Kretschmann, Jan and Martínez Mori, J. Carlos},
  year = {2024},
  journal = {J. Comb. (to appear)},
  fjournal = {Journal of Combinatorics (to appear)},
}

Cost-sharing in parking games

Jennifer Elder, Pamela E. Harris, Jan Kretschmann, and J. Carlos Martínez Mori

Discrete Mathematics and Theoretical Computer Science, 2024

Bib DOI

@article{elder2024cost,
  title = {Cost-sharing in parking games},
  author = {Elder, Jennifer and Harris, Pamela E. and Kretschmann, Jan and Martínez Mori, J. Carlos},
  year = {2024},
  journal = {Discrete Math. Theor. Comput. Sci.},
  fjournal = {Discrete Mathematics and Theoretical Computer Science},
  doi = {10.46298/dmtcs.13113},
  url = {https://doi.org/10.46298/dmtcs.13113},
}

Sparse graphical designs via linear programming

Hessa Al-Thani, Catherine Babecki, and J. Carlos Martínez Mori

Operations Research Letters, 2024

Bib DOI

@article{al-thani2024sparse,
  title = {Sparse graphical designs via linear programming},
  author = {Al-Thani, Hessa and Babecki, Catherine and Martínez Mori, J. Carlos},
  year = {2024},
  journal = {Oper. Res. Lett.},
  volume = {56},
  pages = {Paper No. 107145},
  doi = {10.1016/j.orl.2024.107145},
  issn = {0167-6377,1872-7468},
  url = {https://doi.org/10.1016/j.orl.2024.107145},
  fjournal = {Operations Research Letters},
  mrclass = {05C50 (90C05 90C35)},
  mrnumber = {4781608},
}

What is... a parking function?

J. Carlos Martínez Mori

Notices of the American Mathematical Society, 2024

Bib DOI

@article{martinezmori2024what,
  title = {What is... a parking function?},
  author = {Martínez Mori, J. Carlos},
  year = {2024},
  journal = {Notices Amer. Math. Soc.},
  volume = {71},
  number = {8},
  pages = {1062--1065},
  doi = {10.1090/noti3004},
  issn = {0002-9920,1088-9477},
  url = {https://doi.org/10.1090/noti3004},
  fjournal = {Notices of the American Mathematical Society},
  mrclass = {05},
  mrnumber = {4785141},
}

On the value of dynamism in transit networks

J. Carlos Martínez Mori, M. Grazia Speranza, and Samitha Samaranayake

Transportation Science, 2023

Bib DOI

@article{martinezmori2023value,
  title = {On the value of dynamism in transit networks},
  author = {Martínez Mori, J. Carlos and Speranza, M. Grazia and Samaranayake, Samitha},
  year = {2023},
  journal = {Transp. Sci.},
  publisher = {INFORMS},
  volume = {57},
  number = {3},
  pages = {578--593},
  doi = {10.1287/trsc.2022.1193},
  url = {https://doi.org/10.1287/trsc.2022.1193},
  fjournal = {Transportation Science},
}