History of the CUNY Combinatorics REU
Summer of 2019. The mentors this year are Adam Sheffer, Pablo Soberon, and Frank de Zeeuw. The participants (in alphabetical order):
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Alex Cohen
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David Fitzpatrick
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Arunima Grover
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Surya Mathialagan
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Sherry Sarkar
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Alexander Xue
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Yingyi Zhu
Papers produced during this REU:
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S. Sarkar, A. Xue, and P. Soberón, Quantitative combinatorial geometry for concave functions, submitted to a journal.
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A. Xue and P. Soberón, Balanced convex partitions of lines in the plane, submitted to a journal.
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A. Cohen and M. Nathanson, Sinkhorn limits in finitely many steps, Linear Algebra and its Applications, accepted.
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S. Mathialagan, On bipratite distinct distances in the plane, submitted to a journal.
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D. Fitzpatrick, Distance problems for planar hypercomplex numebrs, to be submitted to a journal soon.
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A. Cohen and F. de Zeeuw, A Sylvester-Gallai theorem for cubic curves, in preparation.
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S. Mathialagan and A. Sheffer, Improved distinct distances on surfaces, in preparation.
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A. Cohen, On the existence of ordinary lines in the complex plane for special point arrangements, in preparation.
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S. Sarkar and P. Soberón, Probabilistic and geometric methods for the colorful Tverberg theorem with tolerance, in preparation.
Program partially funded by NSF awards DMS-1802059 and DMS-1851420.
Part of our 2018 team
Summer of 2018. This was the first year of the REU. The mentors were Adam Sheffer and Rados Radoicic. The participants (in alphabetical order):
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Sara Fish (Caltech)
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Matthew Hase-Liu (Harvard)
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Robert Krueger (Miami University)
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Ruifan Yang (Boston College)
Papers produced during this REU:
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S. Fish, B. Lund, and A. Sheffer, A Construction for Difference Sets with Local Properties, European Journal of Combinatorics 79 (2019), 237--243.
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S. Fish, C. Pohoata, and A. Sheffer, Local Properties via Color Energy Graphs and Forbidden Configurations, SIAM journal of Discrete Math., accepted.
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R. A. Krueger, Generalized Ramsey Numbers: Edge-Coloring Forbidding Paths with Few Colors, accepted to Electronic Journal of Combinatorics.
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M. Hase-Liu and A. Sheffer, Sum-Product Phenomena for Planar Hypercomplex Numbers, Submitted to a journal.
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:
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S. Bardwell-Evans and A. Sheffer, A Reduction for the Distinct Distances Problem in R^d, Journal of Combinatorial Theory A 166 (2019), 171--225.
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A. Bruner and M. Sharir, Distinct distances between a collinear set and an arbitrary set of points, Discrete Mathematics 341, 261-265.
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M. Ben-Ner, A. Schulz, and A. Sheffer, On numbers of pseudo-triangulations,
Comput. Geom. Theory Appl. 46, 688--699.