About Me
I am a fifth-year graduate student at the University of Wisconsin-Madison. I am currently interested in nonlinear algebra. My advisor is Jose Rodriguez. Currently, I am working kinematic projects under the supervisor of Paul Milenkovic from the ECE department.
Email: zwang894@math.wisc.edu
Office: 101 Van Vleck, Madison, WI, 53705
Papers:
Encircling Singularities of a Serial Robot to Find Alternative Inverse-Kinematic Solutions (in preparation). Joint work with Paul Milenkovic & Jose Rodriguez .
Encountering Singularities of a Serial Robot Along Continuous Paths at High Precision. Joint work with Paul Milenkovic & Jose Rodriguez. Mechanism and Machine Theory , Vol. 181, 105224.
The maximum likelihood degree of sparse polynomial systems . Joint work with Julia Lindberg, Nathan Nicholson & Jose Rodriguez. Accepted to SIAGA.
Undergraduate Research
Matching Complexes Joint work with Sho Kawakami, Jacob Kettinger & Madeline Shinners, Collaborative Undergraduate Research Lab, Spring 2017
Talks and Presentations
A novel predictor-corrector path following algorithm for a robotic manipulator when encountering singularities, Poster Session at Meeting on Applied Algebraic Geometry (MAAG 2023), Apr 2023.
Testing Hyperbolicity and Finding Determinantal Representation from Sample Points, Poster Session at Siam Conferences on Mathematics of Data Science , Sept 2022.
Symmetry adapted Gram spectrahedra Talk at Algebra in Statistics and Computation Seminar, Dec 2020.
The non-vanishing of central values of automorphic L-functions and Landau-Siegel Zeros Talk at Math 848: Advanced Topics in Number Theory, Apr 2019
The classification of quadratic forms Talk at Math 845: Class Field Theory, Apr 2019
Conferences, Workshops, and Winter Schools
Meeting on Applied Algebraic Geometry (MAAG 2023) , Georgia Tech, Atlanta, Apr 15-16, 2023.
SIAM Conferences on Mathematics of Data Science , offered in hybrid format, Sept 26 - 30, 2022.
SIAM Conference on Applied Algebraic Geometry , offered virtually Aug 16 - 20, 2021.
The sixteenth MEGA conference, offered virtually, June 7 - 11, 2021.
Workshop on Software and Applications of Numerical Nonlinear Algebra, offered virtually, May 31 - June 2, 2021.
Monodromy and Galois Groups in Enumerative Geometry and Applications, offered virtually, Aug 31 - Sept 2, 2020.
Symmetry, Randomness, and Computations in Real Algebraic Geometry, offered virtually, Aug 24 - 28, 2020.
Arizona Winter School 2019, the University of Arizona, Tucson, AZ, March 2 - 6, 2019
Teaching Experience
Math 217: Calculus with Algebra and Trigonometry (as TA), Spring 2023.
Math 320: Linear Algebra and Differential Equations (as TA), Fall 2022.
Math 213: Calculus and Introduction to Differential Equations (as TA), Spring 2022.
Math 340: Elementary Matrix and Linear Algebra (as TA), Spring 2021.
Math 221: Calculus and Analytic Geometry I (as TA), Fall 2020, Spring 2019, Fall 2018.
Math 222: Calculus and Analytic Geometry II (as TA), Summer, Spring 2020.
Math 211: Calculus for business students (as TA), Fall 2019.
Hobbies
I play the violin since the age of four, and I am an avid fan of classical music. My favorite piece is "Chaconne" in BWV 1004 by Bach, which is as deep, elegant, and precise as Math.