Rui Wang

Academic Appointments

University of California, Berkeley

University of San Francisco

University of California, Irvine

IBS Center for Geometry and Physics, South Korea

Education

Teaching Experience

University of California, Berkeley (2019–present)

Upper-division courses: Introduction to Analysis (104); Abstract Linear Algebra (110); Introduction to Abstract Algebra (113); Introduction to Partial Differential Equations (126); Metric Differential Geometry (140); Introduction to Complex Analysis (185).

Lower-division courses: Precalculus (3); Analytic Geometry and Calculus (16B); Multivariable Calculus (53, W53); Linear Algebra and Differential Equations (54).

Large-enrollment and online instruction

Coordinated teams of 2–6 GSIs, including teaching assignments and exam grading.

GSI = Graduate Student Instructor.

University of San Francisco (Fall 2018)

Introduction to Statistics (106).

University of California, Irvine (2015–2018)

Theory of Ordinary Differential Equations (118); Abstract Algebra: Group Theory (120A) and Ring and Field Theory (120B); Modern Geometry (161); Multivariable Calculus I and II (2D, 2E); Introduction to Linear Algebra (3A).

Developed Modern Geometry (161) using surfaces to connect three types of metric geometry.

University of Wisconsin–Madison (Teaching Assistant)

Calculus for Business Students (211); Single Variable Calculus I and II (221, 222); Multivariable Calculus (234); Linear Algebra (340).

Educational Grants

Principal Investigator; $18,000.

Bridging Upper-Division Coursework and Undergraduate Research in Pure Mathematics Through Complex Analysis.

Organizing an undergraduate seminar in Fall 2026 to support independent reading and research. Developing an undergraduate research course proposal for curricular review at UC Berkeley.

Undergraduate Research and Mentoring

Mentored Austin Lin and Adrian Fry on complex analysis, Diophantine approximation, and interpolation in the unit disk.

Student manuscript: A. Lin and A. Fry, An interpolating sequence in the disk. In preparation.

Independent Study and Research, Math 199, UC Berkeley

Supervised undergraduate reading and research on Riemann surfaces, representation theory, Morse theory, characteristic classes, and related topics.

Honors and Recognition

Appointed Continuing Lecturer following a six-year excellence review and received a merit increase one step above the standard advancement.

International Teaching Assistant Training Program.

Research

Symplectic and contact topology; mathematical physics. Research topics include Gromov–Witten theory, symplectic field theory, gauge theory, Floer theory, and orbifold theory.

Publications and Manuscripts

1. R. Wang. Nonabelian ungauging by augmented symplectic vortices. Manuscript in preparation, 2026.
2. B. Chen, C. Du, and R. Wang. Double ramification cycles with orbifold targets. Acta Mathematica Sinica, English Series 38 (2022), 1333–1376.
3. B. Chen, B.-L. Wang, and R. Wang. The asymptotic behavior of finite energy symplectic vortices with admissible metrics. Scientia Sinica Mathematica 51(2) (2021), 365–392. In Chinese.
4. B. Chen, C. Du, and R. Wang. Orbifold Gromov–Witten theory of weighted blowups. Science China Mathematics 63 (2020), 2475–2522.
5. B. Chen, C. Du, and R. Wang. The groupoid structure of groupoid morphisms. Journal of Geometry and Physics 145 (2019), Article 103486.
6. Y.-G. Oh and R. Wang. Analysis of contact Cauchy–Riemann maps I: A priori Cᵏ estimates and asymptotic convergence. Osaka Journal of Mathematics 55(4) (2018), 647–679.
7. Y.-G. Oh and R. Wang. Analysis of contact Cauchy–Riemann maps II: Canonical neighborhoods and exponential convergence for the Morse–Bott case. Nagoya Mathematical Journal 231 (2018), 128–223.
8. C.-Y. Du, B. Chen, and R. Wang. Symplectic neighborhood theorem for symplectic orbifold groupoids. Acta Mathematica Sinica, Chinese Series 61(2) (2018), 217–232. In Chinese.
9. B. Chen, B.-L. Wang, and R. Wang. L²-moduli spaces of symplectic vortices on Riemann surfaces with cylindrical ends. Preprint, 2015.
10. Y.-G. Oh and R. Wang. Canonical connection on contact manifolds. In Real and Complex Submanifolds, Springer Proceedings in Mathematics & Statistics, vol. 106, Springer Japan (2014), 43–63. Book chapter.
11. B. Liu and R. Wang. Quasi-periodic solutions for reversible oscillators at resonance. Preprint, 2006.

Selected Talks and Seminar Presentations

• 2024
  Compactification of Seiberg–Witten Moduli Spaces. Seiberg–Witten Learning Seminar, UC Berkeley.
• 2024
  My Journey of Mathematics after IBS-CGP. IBS-CGP Reunion Workshop on Geometry and Physics, Pohang, South Korea, October 21–24.
• 2020
  From Classic Mechanics to Symplectic Geometry. Mathematics Colloquium, California State University, Long Beach, October 23.
• 2019
  Hamiltonian Gromov–Witten Theory. Conference on Fukaya Category and Homological Mirror Symmetry, Peking University, August 15–20.
• 2015
  Orbifold groupoids and orbifold Gromov–Witten theory (three lectures). IBS-CGP Postdoc Lecture Series, April 20, 21, and 24.
• 2014
  Symplectic and Contact Topology Seminar, MIT, April 7; Symplectic Topology Seminar, Rutgers University, March 31.

Leadership and Service

Teaching and University Service, UC Berkeley

• Faculty Panelist, MPS Launch Day, Fall 2025.
• Provided new instructors with support on syllabus and assignment design, course materials, and departmental teaching procedures.
• Participated in discussions on student preparation during the Fall 2023 launch of Math 1, Foundations of Lower-Division Mathematics, drawing on experience teaching Math 3.
• Conducted classroom observations for colleagues' academic job applications.
• Worked with the Student Learning Center and Disabled Students Program on student support and accommodations.

Teaching Assistant Training, University of Wisconsin–Madison

Organized a six-week program preparing international teaching assistants for teaching and classroom management.

Professional Reviewing

• Research-paper referee, International Journal of Mathematics.
• Mathematics textbook reviewer, World Scientific Publishing.
• Preliminary research-paper assessment (quick opinion), New York Journal of Mathematics.

Conference Organization

Co-organizer, University of Wisconsin–Madison:

• Mirror Symmetry in the Midwest II, November 8–11, 2012.
• Great Lakes Geometry Conference, April 10–11, 2010.
• Graduate Student Topology and Geometry Conference, April 18–19, 2009.

Mathematical Outreach

Developed and taught approximately 100 lectures across five mathematics series for elementary and middle school students, covering prealgebra, algebra, geometry, and number theory.

Math Circle Instructor: Bay Area Math Circle, November 2018, On the Three Reflections Theorem in Euclidean Geometry; UC Irvine Math Circle, February 2018, Euler Numbers.

MATHCOUNTS Volunteer: UC Irvine, April 2017.