Daniel Allcock

  • Professor
  • Mathematics
Profile image of Daniel Allcock

Contact Information

Biography

Daniel Allcock is a professor of mathematics at The University of Texas at Austin, specializing in group theory, Lie theory, and algebraic geometry. He earned bachelor's degrees in mathematics and physics from UT Austin in 1991 and obtained his Ph.D. from the University of California, Berkeley, in 1996 under the supervision of Richard Borcherds and Andrew Casson. After positions at the University of Utah and Harvard University, Allcock returned to UT Austin as a faculty member in 2002. His research focuses on the structure and classification of complex hyperbolic reflection groups and their connections to algebraic geometry. In 2012, he was named a fellow of the American Mathematical Society.

Research

Allcock's research interests encompass group theory, Lie theory, and algebraic geometry. He has contributed to the understanding of Kac–Moody algebras, hyperbolic reflection groups, and the geometry of moduli spaces.

 

Research Areas

  • Mathematics

Fields of Interest

  • Algebra
  • Geometry

Education

  • University of California, Berkeley: Ph.D., Mathematics
  • University of Texas, Austin: B.S.(special honors), Mathematics
  • University of Texas, Austin: B.S.(honors), Physics