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I am currently a PhD student at University of Illinois Urbana Champaign with Professor József Balogh as my advisor.
I obtained my masters degree at University of Illinois Urbana Champaign and my bachelors degree at Univesidad de Guanajuato.
Email: rig2@illinois.edu
Publications and preprints
Maximal independent sets in the middle two layers of the Boolean lattice. With József Balogh and Ce Chen. Submitted.
On the number of P-free set systems for tree posets P. With József Balogh and Michael C. Wigal. To appear in Order, 2025 .
Intersecting families of sets are typically trivial. With József Balogh, Lina Li, and Adam Zsolt Wagner. Journal of Combinatorial Theory, Series B, 164:44–67, 2024.
Independent sets in the middle two layers of Boolean lattice. With József Balogh and Lina Li. Journal of Combinatorial Theory, Series A, 178 (2021), 105341.
On the number of sum-free triplets of sets. With József Balogh and Igor Araujo. The Electronic Journal of Combinatorics, volume 28(4), 2021, no. P4.36,
Undergraduate advising
Part of the mentors for the Illinois Mathematics Laboratory (IML), for the undergraduate research project: Chip games and multipartite graph paintability. With Peter Bradshaw, Tianyue Cao, Atlas Chen, Braden Dean, Siyu Gan, Amit Krishnaiyer, Grace Mccourt, And Arvind Murty.
Teaching
Teaching assistant, University of Illinois Urbana-Champaign. Multiple courses: Calculus I, II and III, Graph theory and Fundamental Mathematics.
In the list of Teaching Assistants ranked as excellent by the students in: Spring 2022, Fall 2022, Spring 2023, Fall 2023, Spring 2024 and Fall 2024.
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