Education
- Ph D: Mathematics, (2017), The Ohio State University - Columbus, Ohio
Dissertation/Thesis Title: Algebraic, analytic, and geometric notions of largeness for subsets of Zd and their applications - MS: Applied Mathematics, (2011), Central European University - Budapest, Hungary
Dissertation/Thesis Title: Sumset estimates in abelian groups - BA: Mathematics, (2005), Rice University - Houston, Texas
Selected Publications
- Glasscock, D. (2020). A perturbed Khinchin-type theorem and solutions to linear equations in Piatetski-Shapiro sequences. Acta Arith., 192(3) 267--288.
- Glasscock, D., Moreira, J., Richter, F.K. (2020). Additive transversality of fractal sets in the reals and the integers. arXiv e-prints, arXiv:2007.05480.
- Bergelson, V., Glasscock, D. (2020). On the interplay between additive and multiplicative largeness and its combinatorial applications. J. Combin. Theory Ser. A, 172 105203, 60.
- Glasscock, D., Koutsogiannis, A., Richter, F.K. (2019). Multiplicative combinatorial properties of return time sets in minimal dynamical systems. Discrete \& Continuous Dynamical Systems - A, 39(10) 5891.
- Bergelson, V., Glasscock, D. (2018). Multiplicative richness of additively large sets in Zd. J. Algebra, 503 67--103.
- Fidler, J., Glasscock, D., Miceli, B., Pantone, J., Xu, M. (2018). Shift equivalence in the generalized factor order. Arch. Math. (Basel), 110(6) 539--547.
- Glasscock, D. (2017). Algebraic, Analytic, and Geometric Notions of Largeness For Subsets of Zd and Their Applications (pp. 236). ProQuest LLC, Ann Arbor, MI
- Glasscock, D. (2017). CP processes (14: pp. 2847-2905). Oberwolfach Rep
- Glasscock, D. (2017). Solutions to certain linear equations in Piatetski-Shapiro sequences. Acta Arith., 177(1) 39--52.
- Glasscock, D. (2016). Marstrand-type theorems for the counting and mass dimensions in Zd. Combin. Probab. Comput., 25(5) 700--743.
- Glasscock, D. (2015). What is ... a graphon? Notices Amer. Math. Soc., 62(1) 46--48.