Sifan Yu (余思凡)

Research Interests: 

Partial Differential Equations, Mathematical Physics, Geometric Analysis.

Position: 

2023.8-2027.6: Postdoctoral Research Fellow, National University of Singapore.

Mentor: Xinliang An.

Education: 

2017.8-2023.8: Ph.D. in Mathematics, Vanderbilt University. 

Thesis: Rough solutions of the relativistic Euler equations.

Advisor: Jared Speck.

2013.8-2017.6: B.S in Mathematics, Nankai University.

Papers and preprints:

• (With J. Speck) Characteristic initial value problem for 3D compressible Euler equations, in preparation.

• (With Y.Wang and P.Yu) Constructing characteristic initial data for three dimensional compressible Euler equations, arXiv:2508.15199

• (With X.An and H.Chen) Low-regularity local well-posedness for the elastic wave system, arXiv:2411.15886.

• Rough solutions of the relativistic Euler equations, Journal of Hyperbolic Differential Equations 21 (2024), no. 02, 423–500.

Awards:

• Bjarni Jónsson Prize, 2023, Vanderbilt University.

• The College of Arts and Science Summer Research Award, 2022, Vanderbilt University.

Teaching:

• Instructor, MA4255 Numerical Methods in Differential Equations (Spring 2026), NUS.

• Instructor, MA4221 Partial Differential Equations (Fall 2025), NUS.

• Instructor, MA4255 Numerical Methods in Differential Equations (Spring 2025), NUS.

• Instructor, MA4255 Numerical Methods in Differential Equations (Spring 2024), NUS.

• Teaching Assistant, Math 1200 Single-Variable Calculus I (Spring 2023), Vanderbilt.

• Teaching Assistant, Math 1200 Single-Variable Calculus I (Fall 2022), Vanderbilt.

• Teaching Assistant, Math 2400 Differential Equations with Linear Algebra (Spring 2021), Vanderbilt.

• Teaching Assistant, Math 1200 Single-Variable Calculus I (Fall 2020), Vanderbilt.

• Teaching Assistant, Math 2400 Differential Equations with Linear Algebra (Spring 2020), Vanderbilt.

• Teaching Assistant, Math 2400 Differential Equations with Linear Algebra (Fall 2019), Vanderbilt.

• Teaching Assistant, Math 2400 Differential Equations with Linear Algebra (Spring 2019), Vanderbilt.

• Teaching Assistant, Math 1200 Single-Variable Calculus I (Fall 2018), Vanderbilt.

Invited Talks:

• Apr 2025, General Relativity Seminar, Harvard CMSA.

• Dec 2024, Mathematical GR and Hyperbolic PDE Seminar.

• Dec 2024, IMS Workshop: Singularities in Fluids and General Relativity, NUS.

• Nov 2024, NUS-SJTU Forum.

• June 2024, Hyperbolic PDE Seminar, Tsinghua University.

• Mar 2024, Mathematical GR and Hyperbolic PDE Seminar.

• Feb 2024, General Relativity Seminar, Harvard CMSA.

• Sept 2023, PDE Seminar, National University of Singapore.

• Apr 2023, General Relativity Seminar, Harvard CMSA.

• Dec 2022, PDE Seminar, Vanderbilt University.

• Apr 2022,  Ohio River Analysis Meeting, University of Kentucky.