Every year, several math majors participate in research projects in the department, working under the guidance of faculty members and often collaborating with each other. Despite the challenges of working remotely, many of the department's seniors (and some juniors) succeeded in completing research projects this past year, including a thesis, research papers and presentations. Here are some examples of our undergraduate successes on those fronts.
Zhengyuan (Joe) Huang graduated spring 2021 with Research Distinction in Math. His thesis advisor was Marty Golubitsky. Joe wrote a college honors thesis titled "A Classification of Homeostasis Types in Four-node Input-output Networks.” Joe presented his research at the Spring 2021 Denman Forum.
Undergraduates Jake Huryn and Rushil Raghavan, who graduated in spring 2021, co-authored "Discordant sets and ergodic Ramsey theory.” It was accepted to the well-known undergraduate journal Involve. Jake graduated with Honors in ASC, summa cum laude and with Honors Distinction in Mathematics, and Rushil graduated summa cum laude.
Yifan Yang did research on “Deep Recurrent Multi-Factor Model” with Chunsheng Ban and graduated spring 2021 magna cum laude.
During the Denman Forum this year, Eric Fawcett, who worked with Sergei Chmutov, won first place in the Innovations in Technology, Mathematics and Physics category. His project was titled "Distinguishing Trees by their Symmetric Chromatic Polynomials". Eleven undergraduates made presentations at the 2020 Young Mathematicians Conference. (See the Spring 2021 Newsletter for an article about the YMC here.) Here are the titles of their talks, with links:
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Eric Fawcett, Torey Hilbert, Michael Reilly, Covering Graphs and Linear Extensions of Signed Posets. Slides.
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Jake Huryn, Kat Husar, Hannah Johnson, Signed posets and a B-symmetric generalization of Stanley’s acyclicity theorem. Slides.
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Rushil Raghavan, Dennis Sweeney, The Regular Isotopy Classes of Links Attainable from Thompson’s Groups. Slides.
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Jay Patel, Caitlin Patterson, John White, Virtual Knots and Artin Groups. Video.
As for future plans of these talented undergraduates students who have not yet graduated, here is what we have learnt:
- Joe Huang (Applied Mathematics PhD student, University of Michigan),
- Jake Huryn (Mathematics PhD student, The Ohio State University),
- Rushil Raghavan (Mathematics PhD student, UCLA)
- Dennis Sweeney (Mathematics PhD student, The Ohio State University),
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Yifan Yang (MS program, TBD)
