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@article {HuhMatherneMeszarosStDizier,
    AUTHOR = {Huh, June and Matherne, Jacob P. and M\'{e}sz\'{a}ros, Karola and St.
              Dizier, Avery},
     TITLE = {Logarithmic concavity of {S}chur and related polynomials},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {375},
      YEAR = {2022},
    NUMBER = {6},
     PAGES = {4411--4427},
      ISSN = {0002-9947},
   MRCLASS = {05E10 (14M15 17B10)},
  MRNUMBER = {4419063},
       DOI = {10.1090/tran/8606},
       URL = {https://doi-org.libproxy.wustl.edu/10.1090/tran/8606},
}


@article {KaplanONeill,
    AUTHOR = {Kaplan, Nathan and O'Neill, Christopher},
     TITLE = {Numerical semigroups, polyhedra, and posets {I}: {T}he group
              cone},
   JOURNAL = {Comb. Theory},
  FJOURNAL = {Combinatorial Theory},
    VOLUME = {1},
      YEAR = {2021},
     PAGES = {Paper No. 19, 23},
   MRCLASS = {20M14 (52B05)},
  MRNUMBER = {4396224},
MRREVIEWER = {Ruriko Yoshida},
       DOI = {10.5070/C61055385},
       URL = {https://doi.org/10.5070/C61055385},
}

@article {KaplanYe,
    AUTHOR = {Kaplan, Nathan and Ye, Lynnelle},
     TITLE = {The proportion of {W}eierstrass semigroups},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {373},
      YEAR = {2013},
     PAGES = {377--391},
      ISSN = {0021-8693},
   MRCLASS = {14H55 (05A16 20M14)},
  MRNUMBER = {2995032},
MRREVIEWER = {R. F. Lax},
       DOI = {10.1016/j.jalgebra.2012.09.041},
       URL = {https://doi.org/10.1016/j.jalgebra.2012.09.041},
}

@article {KaplanSinghal,
    AUTHOR = {Kaplan, Nathan and Singhal, Deepesh},
     TITLE = {The expected embedding dimension, type and weight of a numerical semigroup},
   JOURNAL = {Enumer. Comb. Appl.},
     FJOURNAL = {Enumerative Combinatorics and Applications},
    VOLUME = {3},
    NUMBER = {2},
      YEAR = {2023},
     PAGES = {Paper No. S2R14, 28 pp.},
        DOI = {10.54550/ECA2023V3S2R14},
       URL = {https://ecajournal.haifa.ac.il/Volume2023/ECA2023_S2A14.pdf}
}

@article {CoreSurveyNath,
    AUTHOR = {Nath, Rishi},
     TITLE = {Advances in the theory of cores and simultaneous core
              partitions},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {124},
      YEAR = {2017},
    NUMBER = {9},
     PAGES = {844--861},
      ISSN = {0002-9890},
   MRCLASS = {05A17 (05E10)},
  MRNUMBER = {3722041},
MRREVIEWER = {Christian Stump},
       DOI = {10.4169/amer.math.monthly.124.9.844},
       URL = {https://doi.org/10.4169/amer.math.monthly.124.9.844},
}

@article {CoreSurveyNam,
    AUTHOR = {Cho, Hyunsoo and Kim, Byungchan and Nam, Hayan and Sohn,
              Jaebum},
     TITLE = {A survey on {$t$}-core partitions},
   JOURNAL = {Hardy-Ramanujan J.},
  FJOURNAL = {Hardy-Ramanujan Journal},
    VOLUME = {44},
      YEAR = {2021},
     PAGES = {81--101},
      ISSN = {2804-7370},
   MRCLASS = {11P81 (05A15 11F20 11P82 11P83)},
  MRNUMBER = {4400889},
MRREVIEWER = {Jane Y. X. Yang},
       DOI = {10.46298/hrj.2022.8928},
       URL = {https://doi.org/10.46298/hrj.2022.8928},
}

@book {ACGH,
    AUTHOR = {Arbarello, E. and Cornalba, M. and Griffiths, P. A. and
              Harris, J.},
     TITLE = {Geometry of algebraic curves. {V}ol. {I}},
    SERIES = {Grundlehren der mathematischen Wissenschaften [Fundamental
              Principles of Mathematical Sciences]},
    VOLUME = {267},
 PUBLISHER = {Springer-Verlag, New York},
      YEAR = {1985},
     PAGES = {xvi+386},
      ISBN = {0-387-90997-4},
   MRCLASS = {14Hxx (14-02)},
  MRNUMBER = {770932},
MRREVIEWER = {Werner Kleinert},
       DOI = {10.1007/978-1-4757-5323-3},
       URL = {https://doi.org/10.1007/978-1-4757-5323-3},
}


@book {GSR_Book,
    AUTHOR = {Rosales, J. C. and Garc\'{\i}a-S\'{a}nchez, P. A.},
     TITLE = {Numerical semigroups},
    SERIES = {Developments in Mathematics},
    VOLUME = {20},
 PUBLISHER = {Springer, New York},
      YEAR = {2009},
     PAGES = {x+181},
      ISBN = {978-1-4419-0159-0},
   MRCLASS = {20M14},
  MRNUMBER = {2549780},
       DOI = {10.1007/978-1-4419-0160-6},
       URL = {https://doi.org/10.1007/978-1-4419-0160-6},
}

@article {hive_polytopes,
    AUTHOR = {Buch, Anders Skovsted},
     TITLE = {The saturation conjecture (after {A}. {K}nutson and {T}.
              {T}ao)},
      NOTE = {With an appendix by William Fulton},
   JOURNAL = {Enseign. Math. (2)},
  FJOURNAL = {L'Enseignement Math\'{e}matique. Revue Internationale. 2e S\'{e}rie},
    VOLUME = {46},
      YEAR = {2000},
    NUMBER = {1-2},
     PAGES = {43--60},
      ISSN = {0013-8584},
   MRCLASS = {05E15 (20G05 52B20)},
  MRNUMBER = {1769536},
MRREVIEWER = {Michel Brion},
}

@book {Sagan,
    AUTHOR = {Sagan, Bruce E.},
     TITLE = {The symmetric group},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {203},
   EDITION = {Second},
      NOTE = {Representations, combinatorial algorithms, and symmetric
              functions},
 PUBLISHER = {Springer-Verlag, New York},
      YEAR = {2001},
     PAGES = {xvi+238},
      ISBN = {0-387-95067-2},
   MRCLASS = {05E10 (05E05 20C30)},
  MRNUMBER = {1824028},
       DOI = {10.1007/978-1-4757-6804-6},
       URL = {https://doi-org.libproxy.wustl.edu/10.1007/978-1-4757-6804-6},
}

@article{Anderson,
    AUTHOR = {Anderson, Jaclyn},
     TITLE = {Partitions which are simultaneously {$t_1$}- and {$t_2$}-core},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {248},
      YEAR = {2002},
    NUMBER = {1-3},
     PAGES = {237--243},
      ISSN = {0012-365X},
   MRCLASS = {05A17},
  MRNUMBER = {1892698},
       DOI = {10.1016/S0012-365X(01)00343-0},
       URL = {https://doi-org.libproxy.wustl.edu/10.1016/S0012-365X(01)00343-0},
}

@article {PPY,
    AUTHOR = {Pak, Igor and Panova, Greta and Yeliussizov, Damir},
     TITLE = {On the largest {K}ronecker and {L}ittlewood-{R}ichardson
              coefficients},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {165},
      YEAR = {2019},
     PAGES = {44--77},
      ISSN = {0097-3165},
   MRCLASS = {20C30 (05E10)},
  MRNUMBER = {3906648},
MRREVIEWER = {Allan Berele},
       DOI = {10.1016/j.jcta.2019.01.008},
       URL = {https://doi-org.libproxy.wustl.edu/10.1016/j.jcta.2019.01.008},
}


@article{Johnson,
    AUTHOR = {Johnson, Paul},
     TITLE = {Lattice points and simultaneous core partitions},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {25},
      YEAR = {2018},
    NUMBER = {3},
     PAGES = {Paper No. 3.47, 19},
   MRCLASS = {05A17 (11P81 52B20)},
  MRNUMBER = {3875012},
MRREVIEWER = {William Jonathan Keith},
       DOI = {10.37236/5734},
       URL = {https://doi.org/10.37236/5734}
}

@book{combinatorialreptheory,
    AUTHOR = {Prasad, Amritanshu},
     TITLE = {Representation theory},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {147},
      NOTE = {A combinatorial viewpoint},
 PUBLISHER = {Cambridge University Press, Delhi},
      YEAR = {2015},
     PAGES = {xii+191},
      ISBN = {978-1-107-08205-2},
   MRCLASS = {20C30 (05E05 05E10 20G05)},
  MRNUMBER = {3287258},
MRREVIEWER = {Bhama Srinivasan},
       DOI = {10.1017/CBO9781139976824},
}

@article{GTDeLoera+McAllister2004,
    AUTHOR = {De Loera, Jes\'{u}s A. and McAllister, Tyrrell B.},
     TITLE = {Vertices of {G}elfand-{T}setlin polytopes},
   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
              of Mathematics and Computer Science},
    VOLUME = {32},
      YEAR = {2004},
    NUMBER = {4},
     PAGES = {459--470},
      ISSN = {0179-5376},
   MRCLASS = {05E10 (52B05)},
  MRNUMBER = {2096742},
MRREVIEWER = {Matthias Beck},
       DOI = {10.1007/s00454-004-1133-3},
}

@article{GTLiuetal2019,
	author = {Liu, Ricky I. and M\'{e}sz\'{a}ros, Karola and St. Dizier, Avery},
	doi = {10.1137/19M1251242},
	fjournal = {SIAM Journal on Discrete Mathematics},
	issn = {0895-4801},
	journal = {SIAM J. Discrete Math.},
	mrclass = {05E10},
	mrnumber = {4039518},
	mrreviewer = {Robert Davis},
	number = {4},
	pages = {2394--2415},
	title = {Gelfand-{T}setlin polytopes: a story of flow and order polytopes},
	url = {https://doi.org/10.1137/19M1251242},
	volume = {33},
	year = {2019},
	bdsk-url-1 = {https://doi.org/10.1137/19M1251242}}

@article{GTArdilaetal2011,
	author = {Ardila, Federico and Bliem, Thomas and Salazar, Dido},
	doi = {10.1016/j.jcta.2011.06.004},
	fjournal = {Journal of Combinatorial Theory. Series A},
	issn = {0097-3165},
	journal = {J. Combin. Theory Ser. A},
	mrclass = {06A07 (05E10 52B12)},
	mrnumber = {2834187},
	number = {8},
	pages = {2454--2462},
	title = {Gelfand-{T}setlin polytopes and {F}eigin-{F}ourier-{L}ittelmann-{V}inberg polytopes as marked poset polytopes},
	url = {https://doi.org/10.1016/j.jcta.2011.06.004},
	volume = {118},
	year = {2011},
	bdsk-url-1 = {https://doi.org/10.1016/j.jcta.2011.06.004}}
	
@misc{Gaoetal2020,
  doi = {10.48550/ARXIV.2009.09904},
  
  url = {https://arxiv.org/abs/2009.09904},
  
  author = {Gao, Shiliang and Orelowitz, Gidon and Yong, Alexander},
  
  keywords = {Combinatorics (math.CO), Representation Theory (math.RT), FOS: Mathematics, FOS: Mathematics},
  
  title = {Newell-Littlewood numbers II: extended Horn inequalities},
  
  publisher = {arXiv},
  
  year = {2020},
  
  copyright = {arXiv.org perpetual, non-exclusive license}
}

	
	@article{FedericoErwan,
    AUTHOR = {Ardila, Federico and Brugall\'{e}, Erwan},
     TITLE = {The double {G}romov-{W}itten invariants of {H}irzebruch
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   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2017},
    NUMBER = {2},
     PAGES = {614--641},
      ISSN = {1073-7928},
   MRCLASS = {14N35 (14H30 14N10)},
  MRNUMBER = {3658147},
MRREVIEWER = {Jie Zhou},
       DOI = {10.1093/imrn/rnv379},
       URL = {https://doi-org.libproxy.wustl.edu/10.1093/imrn/rnv379},
}

@misc{brachat,
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@article{Barvinok-1991,
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@article{Barvinok-1992,
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@article{integralsbarvinok,
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@article{Baldoni-Berline-Vergne-2008,
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@article{matiyasevich-1970,
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@book{matiyasevich-1993,
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@book{gareyjohnson,
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@book{zieglerpolybook,
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@article{motzkin-straus,
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@article{Renegar:1992:CCGb,
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@article{Renegar:1992:CCGc,
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@article{Renegar:1992:Approximating,
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@article{schechter,
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@book{pardalos:complexity-numerical-optimization,
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@book{Sawaragietal:multiobjectivebook,
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@incollection{BarviPom,
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@incollection{barvinok:99,
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	author = {Barvinok, Alexander I. and Pommersheim, James E.},
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	editor = {Billera, Louis J. and Bj\"orner, Anders and Greene, Curtis and Simion, Rodica E. and Stanley, Richard P.},
	pages = {91--147},
	publisher = {Cambridge Univ. Press},
	series = {Math. Sci. Res. Inst. Publ.},
	title = {An algorithmic theory of lattice points in polyhedra},
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@unpublished{barvinok-deloera-koeppe:approx,
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@article {chapotonqanalogues,
    AUTHOR = {Chapoton, F.},
     TITLE = {{$q$}-analogues of {E}hrhart polynomials},
   JOURNAL = {Proc. Edinb. Math. Soc. (2)},
  FJOURNAL = {Proceedings of the Edinburgh Mathematical Society. Series II},
    VOLUME = {59},
      YEAR = {2016},
    NUMBER = {2},
     PAGES = {339--358},
      ISSN = {0013-0915},
   MRCLASS = {52B20 (06A07)},
  MRNUMBER = {3509233},
MRREVIEWER = {Du\v{s}ko Joji\'{c}},
       DOI = {10.1017/S0013091515000243},
       URL = {https://doi.org/10.1017/S0013091515000243},
}