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.