János Kollár is professor of mathematics at Princeton University and the author of eight books on algebraic geometry, including Lectures on Resolution of Singularities (Princeton). Max Lieblich is the Craig McKibben and Sarah Merner Endowed Professor of Mathematics at the University of Washington, Seattle. Martin Olsson is professor of mathematics at the University of California, Berkeley. Will Sawin is assistant professor of mathematics at Columbia University.

"[What Determines an Algebraic Variety?] is well written and contextualized. It offers a deep treatment of the reconstruction problem, including an ample discussion of the assumptions of the reconstruction theorem, and of related results and questions."---Marta Pieropan, Nieuw Archief voor Wiskunde

János Kollár is professor of mathematics at Princeton University and the author of eight books on algebraic geometry, including Lectures on Resolution of Singularities (Princeton). Max Lieblich is the Craig McKibben and Sarah Merner Endowed Professor of Mathematics at the University of Washington, Seattle. Martin Olsson is professor of mathematics at the University of California, Berkeley. Will Sawin is assistant professor of mathematics at Columbia University.

"[What Determines an Algebraic Variety?] is well written and contextualized. It offers a deep treatment of the reconstruction problem, including an ample discussion of the assumptions of the reconstruction theorem, and of related results and questions."---Marta Pieropan, Nieuw Archief voor Wiskunde

János Kollár is professor of mathematics at Princeton University and the author of eight books on algebraic geometry, including Lectures on Resolution of Singularities (Princeton). Max Lieblich is the Craig McKibben and Sarah Merner Endowed Professor of Mathematics at the University of Washington, Seattle. Martin Olsson is professor of mathematics at the University of California, Berkeley. Will Sawin is assistant professor of mathematics at Columbia University.

"[What Determines an Algebraic Variety?] is well written and contextualized. It offers a deep treatment of the reconstruction problem, including an ample discussion of the assumptions of the reconstruction theorem, and of related results and questions."---Marta Pieropan, Nieuw Archief voor Wiskunde