Research Group
Team Wisconsin
- Phd Students
Boyana Martinova (co-advised with D. Erman)
Caitlin Davis (local advisor)
Julia Lindberg (with Bernard Lesieutre, Graduated May 2022)
Note: Students who are interested in me as an advisor should attend the Applied Algebra Seminar and/or take my Applied Algebra classes (Applied AG, Algebraic statistics are two versions). My advising style varies student by student. But, in most cases I suggest a wide range of possible projects, and the student gravitates towards the one(s) that they find the most exciting. Through this initial experience, the student develops a research plan and literature review for their specialty exam. Often students I work with are actively engaged in the department in a variety of ways --- e.g., organizing student seminars, giving talks, excelling in teaching and mentoring undergraduates, taking classes, and attending colloquiums. Moreover, students I advise are encouraged to be involved in the mathematical community at large. For example, some students seek out travel grants to attend long programs at institutes, others may apply for fellowships through NSF or DOE, and many organize interdisciplinary research events. Lastly, I tend to only officially advise a student who has passed their qualifying exams. However, I am happy to provide feedback to anyone who drops by my office. I am open to co-advising students in math or other departments.
- Research Assistants Mentored
Haley Colgate Kottler (2022 - 2023)
Max Hill (2022 - 2023)
Note: My research is interdisciplinary, and I have had the opportunity to mentor research assistants on short term projects. These often have a computational angle, and possibly develop into an extended project.
- Undergraduates
Mengwei Sun (2022-2023, on to Georgia Tech) Beyond Linear Algebra
Lina Liu (2021-2022, on to Minnesota) Galois Groups
Xinyang Hu (2021, on to Yale) Algebraic Statistics.
Xiaxin Li (2019, on to UCSD) Euler characteristics and optimization
Nathaniel Kornetzke (2019, on to UNM) Computational Algebra
Haoran (Doreen) Dai (2018, on to Duke) Computational Algebra
- Masters students
Emma Thomas (2022-2023, on to University of Florida ) Nonlinear Algebra
Nikou Lei (2024)
Collaborators
Under construction