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1. Alternating links have at most polynomially many Seifert surfaces of fixed genus.

   Hass, Joel; Thompson, Abigail; Tsvietkova, Anastasiia (January 2021, Indiana University Mathematics Journal, Vol. 70, No. 2 (2021), pp. 525-534)
2. Sequences of high rank lattices with large systole containing a fixed genus surface group

   Long, D.D; Reid, A. W. (January 2019, New York journal of mathematics)

   In this paper we exhibit sequences of torsion-free lattices (both uniform and non-uniform) that have arbitrarily large systole, but all containing a thin surface subgroup of fixed genus. 

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3. Fixed points of parking functions

   https://doi.org/10.1090/tran/8994  

   McCammond, Jon; Thomas, Hugh; Williams, Nathan (January 2024, Transactions of the American Mathematical Society)

   We define an action of words in $[m{]}^n$on ${\mathbb{R}}^m$to give a new characterization of rational parking functions—they are exactly those words whose action has a fixed point. We use this viewpoint to give a simple definition of Gorsky, Mazin, and Vazirani’s zeta map on rational parking functions when $m$and $n$are coprime [Trans. Amer. Math. Soc. 368 (2016), pp. 8403–8445], and prove that this zeta map is invertible. A specialization recovers Loehr and Warrington’s sweep map on rational Dyck paths (see D. Armstrong, N. A. Loehr, and G. S. Warrington [Adv. Math. 284 (2015), pp. 159–185; E. Gorsky, M. Mazin, and M. Vazirani [Electron. J. Combin. 24 (2017), p. 29; H. Thomas and N. Williams, Selecta Math. (N.S.) 24 (2018), pp. 2003–2034]). 

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4. Phylogeny of the Genus Drosophila

   https://doi.org/doi.org/10.1534/genetics.117.300583  

   O'Grady, PM; DeSalle, R (May 2018, Genetics)

   Understanding phylogenetic relationships among taxa is key to designing and implementing comparative analyses. The genus Drosophila, which contains over 1600 species, is one of the most important model systems in the biological sciences. For over a century, one species in this group, Drosophila melanogaster, has been key to studies of animal development and genetics, genome organization and evolution, and human disease. As whole-genome sequencing becomes more cost-effective, there is increasing interest in other members of this morphologically, ecologically, and behaviorally diverse genus. Phylogenetic relationships within Drosophila are complicated, and the goal of this paper is to provide a review of the recent taxonomic changes and phylogenetic relationships in this genus to aid in further comparative studies. 

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5. Dimensions of fixed-priority aperiodic servers

   https://doi.org/10.1145/3575757.3593639  

   Singh, Abhishek; Baruah, Sanjoy (June 2023, Proceedings of the 31st International Conference on Real-Time and Network Systems (RTNS))