History of the NYC Discrete Math REU

 Summer 2021. The mentors this year were Nóra Frankl, Areeba Ikram, Matthew JungeGuy MoshkovitzAdam ShefferPablo Soberón, and Fan Wei. Participants:

  • Hannah Ashbach 

  • Ilani Axelrod-Freed 

  • Edo Biluar 

  • Danyil Blyschak 

  • John Francis Burkhart   

  • Joao Carvalho 

  • William Chang 

  • Dario Cruzado-Padro  

  • Christina Jones 

  • Zoe Ann McDonald 

  • Anushka Murthy

  • Jean Pulla   

  • Jake Ruotolo 

  • Yuki Takahashi    

  • Kevin Wang

  • Dora Woodruff

  • Jeffery Yu      

Papers produced during this summer:

  • J. P. Carvalho and P. Soberón, Counterexamples to the Colorful Tverberg Conjecture for Hyperplanes, submitted to a journal.

  • P. Soberón and Y. Takahashi, Lifting methods in mass partition problems, submitted to a journal.

  • I. Axelrod-Freed and P. Soberón, Bisections of mass assignments using flags of affine spaces, in preparation.

  • J. Ruotolo, K. Wang, and F. Wei, A sharp bound on the number of independent transversals, in preparation.

  • W. Chang and F. Wei, Bounding the number of maximal cliques in K_t-minor free graphs, in preparation.

  • D. Cruzado-Padro, M. Junge, and L. Reeves, Universality in coalescing ballistic annihilation, in preparation.

  • T. Johnson, M. Junge, Z. McDonald, J. Pulla, and L. Reeves, The threshold frog model, in preparation.

  • H. Ashbach and K. Pichini, An Upper Bound for the Number of Rectangulations of a Planar Point Set, in preparation.

  • J. Shen, Structural Szemerédi-Trotter for Lattices and Semi-Lattices, in prepartion.

  • G. Moshkovitz and J. Yu, Sharp Effective Finite-Field Nullstellensatz, in preparation.

  • G. Moshkovitz and A. Murthy, Near-tight bounds for near-sunflower variants, in preparation.

  • K. Ahrendt, D. Blyschak, A. Ikram, and C. Jones, Coupled Solutions to a Discrete Nabla Caputo Fractional Boundary Value Problem, in preparation.

  • N. Frankl and Dora Woodruff, Unit distance paths and cycles on the sphere, in preparation.

  • E. Biluar and N. Frankl, On the number of unit distance simplices with few vertices, in preparation.

The program was funded by NSF awards DMS-1802059, DMS-1855516,           and DMS-2051026.

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 Summer 2020. The mentors this year were Matthew Junge, Guy Moshkovitz, Adam Sheffer, and Pablo Soberon. The participants:

  • Riti Bahl

  • Luis Benitez Norat

  • Travis Dillon

  • Clare Hamblen

  • Anqi Li

  • Jack Messina

  • Hanna Mularczyk

  • Kukai Nakahata

  • Max Redman

  • Olivine Silier

  • Yaqian Tang

Papers produced during this summer:

The program is partially funded by NSF awards DMS-1802059,

DMS-1851420, DMS-1953141, and DMS-2028892.

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Summer of 2019. The mentors this year were Adam Sheffer, Pablo Soberon, and Frank de Zeeuw. The participants:

  • Alex Cohen  

  • David Fitzpatrick 

  • Arunima Grover

  • Surya Mathialagan  

  • Sherry Sarkar

  • Alexander Xue

  • Yingyi Zhu

Papers produced during this summer:

Part of our 2018 team

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Summer of 2018. This was the first year of the REU. The mentors were Adam Sheffer and Rados Radoicic. The participants:

  • Sara Fish 

  • Matthew Hase-Liu 

  • Robert Krueger

  • Ruifan Yang 

Papers produced during this summer:

This program was partially funded by NSF award DMS-1802059.

Earlier than 2018. Adam Sheffer has been mentoring undergrad research projects for many years before the CUNY Combinatorics REU. In the years 2014-2017 Adam was running such projects in Caltech, and before that in Israel.

 

A few earlier papers from undergraduate projects mentored by Adam: