I am an associate professor in the Department of Mathematical Sciences at Clemson University

# Michael Burr

Associate Professor

Clemson University

I am an associate professor in the Department of Mathematical Sciences at Clemson University

- burr2 (at) clemson (dot) edu
- 864-656-5220
- O-19 Martin Hall

Department of Mathematical Sciences

Clemson University

220 Parkway Drive

Clemson, SC 29634-0975

My research interests include algebraic geometry, computational geometry, symbolic algebra, and applied algebraic geometry.

- M. Burr (PI). National Science Foundation. Certification Algorithms for Polynomial System Solving (2019-2020).
- M. Burr (PI). National Science Foundation. AF: Small: Subdivision methods: Correctness and complexity. (2015-2019).
- M. Burr (PI), with W. Goddard (co-PI), and S. Poznanovió (co-PI). National Security Agency. 2018 and 2019 Clemson mini-conference on discrete mathemaics and algorithms. (2018-2020).

- M. Burr, S. Das, C. Wolf, and Y. Yang. Computability of topological pressure on compact shift spaces beyond finite type.
*Nonlinearity*, - M. Burr and A. Leykin. Inflation of poorly conditioned zeros of systems of analytic functions.
*Arnold Mathematical Journal*, 2021. arXiv AMJ - M. Burr and C. Wolf. Computability at Zero Temperature.
*Nonlinearity*, 2020. arXiv Nonlinearity - M. Burr, S. Gao, and E. Tsigaridas. The Complexity of Subdivision for Diameter-Distance Tests.
*Journal of Symbolic Computation.*101, 1-27, 2020. arXiv 42nd ISSAC JSC - M. Burr, K. Lee, and A. Leykin. Effective certification of approximate solutions to systems of equations involving analytic functions. In
*Proceedings of the 44th International Symposium on Symbolic and Algebraic Computation*, 2019. arXiv 44th ISSAC - M. Burr, S. Gao, and F. Knoll. Optimal Bounds for Johnson-Lindenstrauss Transformations.
*Journal of Machine Learning Research.*19(73), 1-22, 2018. arXiv JMLR - M.Burr and D. Lipman. Quadratic-Monomial Generated Domains from Mixed Signed, Directed Graphs.
*International Journal of Algebra and Computation.*2018. arXiv (Part 1) arXiv (Part 2) IJAC - M. Burr, M. Schmoll, and C. Wolf. On the computability of rotation sets and their entropies.
*Ergodic Theory and Dynamical Systems.*40(2), 367-401, 2020. arXiv ETDS - J. Xu, M. Burr, and C. Yap. An approach for certifying homotopy continuation paths: Univariate case. In
*Proceedings of the 43nd International Symposium on Symbolic and Algebraic Computation*399-406, 2018. 43rd ISSAC - M. Burr and R. Fabrizio. Uniform Convergence Rates for Halfspace Depth.
*Statistics & Probability Letters.*124, 33-40, 2017. arXiv SPL - M. Burr. Continuous amortization and extensions: With applications to bisection-based root isolation.
*Journal of Symbolic Computation*. 77, 78-126, 2016. arXiv JSC - M. Burr. Asymptotic Purity for Very General Hypersurfaces of \mathbb{P}^n\times\mathbb{P}^n of Bidegree (k,k).
*Central European Journal of Mathematics*10(2), 530-542, 2012. arXiv CEMJ - M. Burr and F. Krahmer. SqFreeEVAL: An (Almost) Optimal Real-Root Isolation Algorithm.
*Journal of Symbolic Computation*47(2), 131-152, 2012. arXiv JSC - M. Burr, S. Choi, B. Galehouse, and C. Yap. Complete Subdivision Algorithms II: Isotopic Meshing of General Algebraic Curves.
*Journal of Symbolic Computation*47(2), 153-166, 2012. arXiv JSC

I am currently teaching:

- MATH 3110: Linear Algebra
- MATH 3190: Introduction to Proof

I am currently co-organizing:

- The annual 34th Mini-conference on Discrete Mathematics and Algorithms to be held at Clemson University on October 18-19, 2019.
- A Special Session on Applications of Algebraic Geometry at the Spring Southeastern Sectional Meeting to be held at Auburn University on March 15-17, 2019

I am in residence at the semester program on Nonlinear Algebra at the Institute of Computational and Experimental Research in Mathematics.

I am member of the Combinatorics and Discrete Math Group at Clemson University.

I am member of the Applicable and Computational Algebra Lab at Clemson University.

Previously, I was involved with several research groups:

- I was in residence at the semester program on Nonlinear Algebra at the Institute of Computational and Experimental Research in Mathematics.
- The Computational Geometry Mathematical Research Community.
- The Exact Geometric Computation Group at New York University
- The Computational Geometry Group at Tufts University
- The Inverse Problems REU at University of Washington
- The Hyperbolic Tilings of Riemann Surfaces REU at Rose-Hulman Institute of Technology