Paul Ian Biran (Hebrew: פאול בירן; born 25 February 1969) is an Israeli mathematician. He holds a chair at ETH Zurich. His research interests include symplectic geometry and algebraic geometry.^[1]

Born in Romania in 1969, Biran's family moved to Israel in 1971. He attended Tel Aviv University, where he earned his Bachelor's degree in 1994 and Ph.D. in 1997^[1] under supervision of Leonid Polterovich (thesis: Geometry of Symplectic Packing).

From 1997 to 1999, Biran was a "Szego Assistant Professor" at Stanford University. At Tel Aviv University, he was a lecturer from 1997 to 2001, a senior lecturer from 2001 to 2005, an associate professor in 2005, and a full professor in 2008. In 2009, Biran became a full professor of mathematics at ETH Zurich.^[1]

Biran was awarded the Oberwolfach Prize in 2003, the EMS Prize in 2004, and the Erdős Prize in 2006. In 2013 he became a member of the German Academy of Sciences Leopoldina.^[2]

• Salamon, Dietmar; Polterovich, Leonid; Biran, Paul (2003). "Propagation in Hamiltonian dynamics and relative symplectic homology". Duke Mathematical Journal. 119 (1): 65–118. arXiv:math/0108134. doi:10.1215/s0012-7094-03-11913-4. MR 1991647. S2CID 17473995.
• Biran, Paul; Cornea, Octav (2009). "Rigidity and uniruling for Lagrangian submanifolds". Geometry & Topology. 13 (5): 2881–2989. arXiv:0808.2440. doi:10.2140/gt.2009.13.2881. MR 2546618.

• Nagata–Biran conjecture