Research Fellow

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Pillar / Cluster: Engineering Systems and Design

Colin Tan

Biography

I obtained my PhD in mathematics from the National University of Singapore in 2016. I joined SUTD in 2018. Since 2022, I am a Research Fellow in ESD under the supervision of Professsor Karthik Natarajan.

Education

  • PhD in mathematics, National University of Singapore, 2016.
  • BSc (Hons) in mathematics, National University of Singapore, 2009.

Research Interest

Optimisation, probability theory.

Selected Publications

  • Tan, C., To, W. Effective Geometric Hermitian Positivstellensatz. J Geom Anal 31 (2021), no. 2, 2105—2151.
  • C. Scheiderer and C. Tan, A Positivstellensatz for forms on the positive orthant, Arch. Math. (Basel) 109 (2017), no. 2, 123–131.
  • C. Tan and W.-K. To, Characterization of polynomials whose large powers have all positive coefficients, Proc. Amer. Math. Soc. 146 (2018), 589–600.
  • M. Gao, C. Tan and J. Wu, Loop homological invariants associated to real projective spaces, Topology Appl. 209 (2016), 275–288.

Awards

  • Honourable Mention, International Mathematical Olympiad, 2002.