Dr. Kyler Siegel

Assistant Professor

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Biography

Kyler Siegel is an Assistant Professor in the Department of Mathematics at the University of Southern California. He is a visitor at Seoul National University for the Fall of 2025. Previously, he was an Assistant Professor in the Mathematics Department at Columbia University and an NSF Postdoctoral Research Fellow specializing in pure mathematics. His research interests primarily focus on symplectic geometry and its intersection with smooth topology, differential geometry, algebraic geometry, and mathematical physics, particularly in string theory. He enjoys studying complex algebraic structures arising from pseudoholomorphic curve invariants within Floer theory and symplectic field theory. His work also investigates the intricate interactions between quantitative symplectic geometry and complex algebraic geometry. Siegel has received funding from the National Science Foundation and the Simons Foundation to support his mathematical research activities.

Research Interests

Experience

Assistant Professor

2021-09-01 — Present

University of Southern California • Los Angeles, CA

Teaching and conducting research in mathematics focusing on symplectic geometry.

Assistant Professor

2019-09-01 — 2021-08-31

Columbia University • New York, NY

Provided instruction and pursued research in mathematics with a focus on pure mathematics.

NSF Postdoctoral Research Fellow

2017-09-01 — 2019-08-31

Columbia University • New York, NY

Worked on research projects supported by the National Science Foundation.

Courses

Cluster Varieties: Algebra, Topology, Geometry, Duality (USC Math 635) Algebraic Topology II (USC Math 540b) Complex Analysis (USC Math 520) Introduction to Theory of Complex Variables (USC Math 475) Toric Methods in Symplectic Algebraic Geometry (USC Math 635)

Requirements for University of Southern California

Master Program
Requirements
GPA Requirement
Required:3
TOEFL
Listening
Required:20
Reading
Required:20
Writing
Required:20
Speaking
Required:20
Total
Required:90
IELTS
Listening
Required:6
Reading
Required:6
Writing
Required:6
Speaking
Required:6
Overall
Required:6.5
GRE General
Prerequisites
Bachelor's degree in Engineering, Math, or Hard Science
Application Checklist
  • Online application
  • Official transcripts
  • Personal Statement
  • Resume/CV
  • Letters of Recommendation (not required for MS CS, but allowed)
Specialization Notes

GRE is NOT required for Master's applicants for 2025-2026.